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Solution: Give the Taylor polynomial of the order n about x = x0 a- sin (π x); x0 = 1/2 b- ln x; x0 = e #27841
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[Solution] Find the radius of convergence and the interval of convergence for each of the series listed below a #27842
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[Solved] Find the first four terms of the MacLaurin series for each of the functions given below a- {e^x} sin #27843
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(See Solution) Use Maclaurin series to find a - {x→ 0} lim ( arctan x-x)/(x^3) b - ∫{(({e^x}-1)/(x))dx} #27845
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[Solution] For which values of A and B is the equation y=(x^4)/(4)+A cos x+B a solution of the i #27846
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[Solution] Solve each of the initial value problems below and indicate the method you use a- y'-2xy=2x^2{e^{x^2 #27847
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[Solution] A year ago there were 4 grams of a radioactive substance. Now there are 3 grams. How much was there #27848
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[Solved] Give an example of a sequence {an} such that the sequence is neither increasing nor decreasing and { #27849
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(Solved) Give the sum of the series ∑limits_{n=1}^{∞ }{((1)/({{(n+1))^2}}-(1)/({n^2)})} #27850
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[Solution] Indicate whether each of the series given below is convergent or divergent. Identify the test you ap #27851
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[Solution] Give the Maclaurin series for the function x sin x. Use the an Maclaurin polynomial of degree 3 to #27852
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[Solution] Find the first 4 terms of the Maclaurin series for the function ( sin x)/({e^x)} #27853
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[Solution] If f(x)=(1)/(x+2), find and simplify (f(a+h)-f(a))/(h) (h≠ 0). #27952
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Solution: Refer to the graph of the function f (a) Find the value of f(0). (b) Find the value(s) of x for whi #27953
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(See Solution) Find the derivative of the function f(x)=(x^2)/(x^2-3). #27954
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[Solution] Find the derivative of the function f(x)=√{x^2+2}. #27956
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(See Solution) Find the derivative of the function f(x)=(3x^2-(2)/(x))(3x^2+2). #27957
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[Solution] Find the slope and an equation of the tangent line to the graph of the function f(x)=(3x-2)/(3x+2) #27958
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[Solved] A rock is tossed into a pond creating an expanding circular ripple. If the radius of the ripple is i #27959
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(Solved) If 2xy=3x+5y^2, find {}^{dy}!_{dx}; by implicit differentiation. #27960
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[Solution] Sketch the graph of y=(2-x)/(x+3) #27963
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[Solved] A farmer wants to create a pen inside a barn like the one shown below. The sides of the barn will fo #27964
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[Solved] To make a rectangular trough, you bend the sides of a 32-inch wide sheet of metal to obtain the cros #27965
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[Solution] Old McDonald wants to construct a rectangular feed lot with a maximum amount of area using 500 feet #27988
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[Solution] Check that satisfies the differential equation . #27993
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[Solved] Check that satisfies the differential equation . #27994
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[Solved] Sketch a slope field corresponding to the equation Then sketch the solution that passes through the #27995
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[Solved] Sketch a curve that satisfies: , and . What is ? #27996
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Solution: A curve has the property that the slope of tangent to the curve at every point is reciprocal to the #27997
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[Solved] Determine the time it takes an amount of money to triple if compounded continuously at an annual rat #27998
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(Solved) I got a Guinness can whose temperature is . To enjoy it cold at the perfect temperature of , I set m #28000
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(See Solution) A cup of tea with initial temperature of is left in the room with a constant temperature . In one mi #28001
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Solution: Share on the forum, but no need to submit: Describe in a short paragraph a phenomenon around you tha #28002
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(Solved) Could two solutions to first order differential equation colide? Would there be a need for speed lim #28003
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[Solution] The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28004
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Solution: The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28005
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[Solved] The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28006
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[Solved] The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28007
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(See Solution) The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28008
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[Solution] The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28009
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(See Solution) The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28011
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[Solution] The following functions are defined for all . Find the critical numbers if they exist. Explain in a #28012
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[Solution] Consider the function f:{R}→ R^3 defined by f(θ)=( cos θ , sin θ ,&th #28065
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[Solution] Same question for the function g:R^2→ {R} defined by g(θ ,φ)=( sin θ co #28067
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(See Solution) (a) Show that the point (0, 0) is an accumulation point of R^2backslash { (0,y)|yin {R} } (b) Show #28068
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[Solution] Are the following functions R^3→ {R} continuous at (x,y,z)=(0,0,0) ? (a) {f_1}(x,y,z)={ #28069
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Solution: Calculate the following limits, if they exist: (a) {(x,y)→ (0,0)} lim (x^2+y^2+4) (b) {(x,y)&ra #28070
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Solution: A tank originally contains 100 gallons of fresh water. Then water containing 1/2 pound of salt per g #28130
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[Solved] Consider the following differential equation 2xydx+(1+x^2)dy=0 (3) (a) (5 points) Determ #28131
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[Solution] The cost of manufacturing x units of a product is C(x)=x√{2x+5} , where C(x) is the cost in th #28135
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[Solution] The cost of manufacturing x units of a product is C(x)=x√{2x+5} , where C(x) is the cost in th #28136
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(Solved) The sum of $5000 is deposited in an account paying r% interest compounded annually. After five years #28137
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[Solved] According to the National Highway Traffic Administration, the fatality rate on the nation’s highways #28138
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Solution: Given this graph of f(x), (a) In what domain is f’(x) positive? (b) In what domain is f’(x) negativ #28139
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[Solved] Union membership as a percentage of the total labor force can be modeled by M(x)=0.0002x^3-0.0 #28140
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[Solution] The concentration of drug in a patient’s bloodstream t hours after injection in a person’s bloodstre #28141
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(See Solution) A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will us #28345
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[Solved] A snowmobile manufacturer is planning a new line of ski-doos. The price is dependent on the number o #28357
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[Solution] A farmer wants to enclose two adjacent rectangular regions, as shown below, next to a river, one for #28358
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[Solution] Differentiate using product rule. Do not simplify Y = (x+1) (x^3 + 5x + 2) #28369
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[Solution] Differentiate using product rule. Do not simplify Y = x^2(7x-1)^2 #28370
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[Solution] Differentiate using product rule. Do not simplify Y = (2x+1)^5/2 (4x-1)^3/2 #28371
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(See Solution) Differentiate using product rule. Do not simplify f(x) = (x^2 + 3)(x^2-3)^10 #28372
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(See Solution) Differentiate using product rule. Do not simplify d/dx[x^7(3x^4 + 12x - 1)^2] #28373
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Solution: Find the absolute extrema if they exist, and all values of x where they occur on the given intervals #28374
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[Solution] Find (dy)/(dx) using implicit differentiation x^2y^3+4xy=2 #28375
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(See Solution) Find (dy)/(dt) at the given x y=(9-4x)/(3+2x); (dx)/(dt)=-1, x=-3 #28376
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Solution: Logistic Growth Many populations grow according to the logistic equation (dx)/(dt)=rx(N-x) #28378
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(Solved) Integrate the following ∫{(-x)/(2-x^2)dx} #28379
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[Solved] Integrate: ∫{{e^{3x^2+4}}xdx} #28380
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[Solution] Find the following definite integral: ∫_1^3{(2{{x}^{-1}}+{{x}^{-2}})dx} #28381
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[Solution] Differentiate the following using the quotient rule. Do Not simplify: y=(x^2+2x-1)/(x^2+2x-2) #28382
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(Solved) Differentiate the following using the quotient rule. Do Not simplify: y=(3x^2+5x+1)/(3-x^2) #28383
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[Solved] Power rule will be needed in conjunction with quotient rule. Simplify answer completely for this pro #28384
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[Solution] Differentiate the following using the quotient rule F(x)=7/9+(x^2+x+1)/(x^5+1) #28385
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(Solved) Simplify answer completely for this problem y=(√{x})/(√{x+4)} #28386
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[Solved] Find (dy)/(dx) by implicit differentiation. Simplify your answer completely x^2-y^2=16 #28387
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[Solution] Find (dy)/(dx) by implicit differentiation. Simplify your answer completely x^2-2xy=6 (product rul #28389
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(Solved) Find (dy)/(dx) by implicit differentiation. Simplify your answer completely x^2y^2-xy=8 #28390
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(Solved) Find (dy)/(dx) by implicit differentiation. Simplify your answer completely {{x}^{1/2}}+{{y}^{1/2} #28391
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Solution: Jabba sells stuffed Eworks according to p+(x^3)/(6)=48, where p is the price and x is the number of #28392
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[Solution] Find the average value of the function f over the indicated [a, b] f (x) = 2x + 3; [0,2] #28394
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[Solved] Find the average value of the function f over the indicated [a, b] f(x) = 2x^2 -3; [1,3] (write answ #28395
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[Solution] Find the average value of the function f over the indicated [a, b] f(x) = x^2 + 2x - 3; [-1,2] #28396
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(See Solution) Find the average value of the function f over the indicated [a, b] f(x) = √{2x+1} ; [0,4] (use #28397
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[Solution] For the function f(x)={ 2 if x<0 , -x^2+x if 0≤ x≤ 2 #28398
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(Solved) Use the rules of derivatives to find the derivatives of the function y=4x^2{{(3x-2)}^5} #28400
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[Solved] Use the rules of derivatives to find the derivatives of the function q={{({e^{2p+1}}-2)}^4} #28401
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(Solved) Compound Interest: If a sum of $1000 is deposited into an account that pays r% interest compounded q #28402
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Solution: Graph f(x)=x^3-4x in as much detail as possible. #28403
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[Solved] In the force system shown, the maximum tension either of the lifting ropes can withstand is 205kN. C #28466
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(Solved) A vehicle is travelling at 180 km/hr and has wheels of 55 cm diameter. (a) Determine the number of #28488
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[Solved] Simplify (a) cos 7omega t cos 3omega t+ sin 7omega t sin 3omega t (b) sin 2omega t cos #28499
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(See Solution) Prove (1 + tan h x)/(1 - tan h x)={e^{2 x}} #28510
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[Solution] Differentiate the following functions with respect to the variable x: (a) (b) (x^3-3x+1)/(x^3+3x+1) #28521
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[Solution] Sketch the graph and find the maximum and minimum values of the equation: #28532
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[Solution] When a shaft rotates with angular velocity ? the displacement y at a distance x from one end due to #28543
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Solution: Integrate the following functions using the appropriate method chosen from the list below: ? basic r #28554
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(See Solution) A body of weight W on the point of slipping down a plane inclined at angle ? to the horizontal is sh #28565
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Solution: The volume V of a liquid of viscosity coefficient η delivered after time t when passed through #28577
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[Solved] If the revenue for Bus Company depends on the number of sold seat and given by R(x)=8000+70x-x^2, wh #28597
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(Solved) If the Revenue from a product x is R(x)=8x-x^2 and the cost in dollars is given by C(x)=2x+5 a. Fi #28598
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