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(Solved) Solve the indefinite integral ∫{( sin 2x)/({{ cos )^2}2x+1}} #21977
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[Solved] Solve the indefinite integral ∫{( sin 3x)/( cos 3x+1)dx} #21978
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[Solved] Solve the definite integral ∫{(dx)/(x√{1-{{ln )^2}x}}} #21979
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[Solved] Solve the indefinite integral ∫{(dx)/(√{4-x^2)}} #21980
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[Solution] Solve the indefinite integral ∫{(x)/(x^4+1)dx} #21981
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Solution: Solve the definite integral ∫_4^9{x√{x}dx} #21982
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Solution: Solve the definite integral ∫_{-1}^1{(dx)/(1+x^2)} #21984
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Solution: Solve the following definite integral ∫_e^{{e^2}}{(ln x)/(x)dx} #21985
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[Solution] Solve the definite integral ∫_0^1{(dx)/(√{3x+1)}} #21986
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[Solution] Solve the definite integral ∫_1^3{(dx)/(√{x)(x+1)}} #21988
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[Solved] Solve the definite integral by substitution ∫_{1}^{√{e}}{(dx)/(x√{1-{{ln )^2}x}}} #21989
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[Solved] Solve the definite integral by substitution ∫_0^1{(1)/(√{9-x^2)}dx} #21990
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(See Solution) Height of a Ball. If a ball is thrown into the air at 29.4 meters per second from a height of 60 met #22013
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[Solved] A company has determined that its profit for a product can be described by a linear function. The pr #22016
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(See Solution) Printing. A printer has a contract to run 20,000 posters for a state fair. He can use any number of #22017
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[Solved] Organizational Growth. The president of a new campus of a university predicts that the student body #22021
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[Solution] United Nations Debt. The cubic function y = -0.532x ^3 - 1.003x ^2 + 41.964x + 401.708 models the t #22022
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[Solution] Projectile A toy rocket is fired into the air from the top of a building, with its height given by S #22024
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(Solved) As a space craft approaches a planet, the rocket engines on it are fired to slow it down so it will #22116
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[Solved] You have a ball on a wire that is twirled in a circular orbit with a radius of 4.2 m, and the centri #22117
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[Solved] A 102 N box is lifted a distance of 12 meters. How much work is done? #22119
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(See Solution) A 121 watt motor is used to lift a 100 kg container to a height of 7 m. how much time does it take t #22120
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[Solution] What is the linear momentum of a 168 kg aircraft going 46.2m/s? #22122
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[Solved] A 200 kg cart run into the rear end of a 145 kg cart that is stationary. The two carts lock together #22123
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(See Solution) Using the vector valued function r(t)=(({t^2})/(2)){i}+((2√{2})/(3){{t}^{3/2}}){j} #22267
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[Solved] Calculate the length of the graph of the vector valued function r(t) from the previous problem for 0 #22268
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[Solution] Find the linearization L(x, y) of the function f(x,y)=√{x^3+y^2} at the point (a, b) = (x0, y0 #22269
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[Solved] A lamina occupies the region bounded by the graphs of y = 6-x^2 and y = x. Its density function is ? #22270
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[Solution] The region Q in space is bounded by the paraboloid z = 9-x^2 - y2 and the xy-plane. Write ∫_{Q}{ #22271
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[Solved] Find ∫_{C}^{{}}{yds} where C is the curve with parametric equations x = t2, y = 2t, 0≤ t≤ #22272
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Solution: Find an equation for the tangent line to the given curve at the point where x = x0. y= (x + 7)/( #22424
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(See Solution) Find all points on the graph of the given function where the tangent line is horizontal. f(x) = ( #22425
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(See Solution) The manager of a company that produces graphing calculators determines that when x thousand calcul #22426
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[Solved] Find the intervals of increase and decrease for the given function. f(t) = t3 + 3t2 + 1 #22427
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[Solved] Find the intervals of increase and decrease for the given function. G(x) = x^2 - 1/x^2 #22428
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(Solved) Determine the critical numbers of the given function and classify each critical point as a relativ #22429
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[Solution] The derivative of a function f(x) is given. In each case, find the critical numbers of f(x) and cl #22430
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[Solved] A company determines that if x thousand dollars are spent on advertising a certain product, the S( #22431
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[Solved] Determine where the graph of the given function is concave upward and concave downward. Find the c #22432
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[Solved] Determine where the given function is increasing and decreasing, and where its graph is concave up #22433
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(See Solution) Use the second derivative test for find the relative maxima and minima of the given function. f(x) #22434
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[Solved] Use the second derivative test for find the relative maxima and minima of the given function f(x) #22435
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[Solved] An efficiency study of the morning shift (from 08:00a.m. to 12:00 noon) at a certain factory indic #22436
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[Solution] The manager of the Footloose sandal company determines that t months after initiating an advertisi #22437
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(See Solution) Find the absolute maximum and absolute minimum (if any) of the given function on the specified int #22438
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[Solved] Find the absolute maximum and absolute minimum (if any) of the given function on the specified int #22439
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Solution: Find the absolute maximum and absolute minimum (if any) of the given function on the specified int #22440
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(See Solution) Find the absolute maximum and absolute minimum (if any) of the given function on the specified int #22441
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(See Solution) Differentiate the function and simplify your answer. f(x) = ?5x6 - 12 #22442
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Solution: Differentiate the function and simplify your answer. f(x) = 2/(6x^2 + 5x + 1)2 #22443
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Solution: Differentiate the function and simplify your answer. f(s) = 1/?5s3 + 2 #22444
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Solution: Find an equation of the line that is tangent to the graph of f for the given value of x. f(x) = (x #22445
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[Solved] Differentiate the given function by two different methods, first by using the general power rule a #22446
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[Solved] Find the indicated integral. Check your answers by differentiation. ? ?t dt #22447
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[Solution] Find the indicated integral. Check your answers by differentiation. ? x-0.3 dx #22448
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(See Solution) Find the indicated integral. Check your answers by differentiation. ? (1/x^2 - 1/x3)dx #22449
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[Solution] Find the indicated integral. Check your answers by differentiation. ? (x1/3- 3x-2/3 + 6) dx #22450
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[Solution] Find the indicated integral. Check your answers by differentiation. ? x(2x + 1)2 dx #22451
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(Solved) Evaluate the following definite integral ?41 (5 - 2t) dt #22452
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(Solved) Evaluate the following definite integral ?41 2?u du #22453
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[Solution] Evaluate the following definite integral ?94 x-3/2 dx #22454
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[Solved] Evaluate the following definite integral ?61 x^2(x - 1) dx #22455
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Solution: Suppose that the consumers’ demand function for a certain commodity is D(q) = 50 - 3q - q2 dollars p #22456
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Solution: Suppose f(x,y)=x^3+Ay^3-Bxy+3x+y Is it possible to find values for both A and B such that the functi #22699
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[Solved] The length, L, height h, and width w of an open box (i.e., no top) change with time. At a certain in #22700
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Solution: The plane z-x-y=8 intersects the cone z^2=x^2+y^2 form a curve in 3 dimensions, so there are points #22701
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[Solution] Suppose you want to design a closed cylindrical container of radius r and height h that holds a fixe #22702
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(Solved) Evaluate the limits below. If a limit does not exist state why a) {x→ -1} lim (x^3 + 2x^2 - 3X #22728
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[Solved] Use the squeeze theorem to find lim (as x approaches 3) g(x), given that |g(x) -2|
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[Solution] Use implicit differentiation to find an equation of the line tangent to the hyperbola x^2/16 - y^2/9 #22730
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[Solved] Find dy/dx if a) y= 2x-3 / x^2 -3x + 5 b) y=sec^2 2(x) - tan^2(2x) #22731
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Solution: Change from polar equation to rectangular form R=7sin2? #22732
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[Solution] Suppose that f has a continuous second derivative for all x, and that f(0)=1 , f’(0)=2, and f’’(0)=0 #22733
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(See Solution) Consider the differential equation given by ((dx)/(dy))= ((xy)/2) b. let y=f(x) be the particular s #22734
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[Solution] Let g be the function whose domain is on the closed interval [0,8]. The graph of g is shown below. T #22735
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[Solution] Let {z_1},...,{z_n} and {w_1},...,{w_n} be complex numbers (a) Show that | ∑limits_{k=1}^n #22981
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Solution: Convert Polar to rectangular form R= ? + θ #22983
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[Solved] Convert rectangular to polar form Y=x^2-2x+5 #22984
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[Solution] Express each complex number in polar form(use radians) -3i #22985
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[Solution] Evaluate. Express the result in polar form i1/4 #22986
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Solution: Solve z4= -128+(128*31/2)*i, expressing each solution in rectangular form #22987
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[Solution] Differentiate the function f(x)=(1)/(1+x^3) from first principles. #23061
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Solution: The profit curve for a company is given as: Profit (?) = -3Q2 + 600Q - 500 a) Using derivatives find #23209
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[Solved] An individual has the utility function U(x,y)=y{e^x} Determine the individual’s usual de #23383
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[Solution] B: As n gets larger, what happens to the ratio of these pairs of areas (use the larger area as the n #23420
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Solution: C: Both areas tend toward a limiting value as n gets larger and larger. What number would this be? #23421
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[Solution] E: As n gets larger, what happens to the ratio of these pairs of perimeters (use the larger perimete #23423
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(See Solution) F: Both perimeters tend toward a limiting value as n gets larger and larger. What number would this #23424
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Solution: Suppose the Bank runs a loading dock at which its trucks loads up items that are then delivered to v #23428
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[Solved] Let E, F, and G be three events, each with positive probability. Prove or disprove that P(E|F)=P(E| #23510
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(See Solution) Prove that the sequence ((1)/({{3)^n}})_{n=1}^{∞ } converges to zero. #23608
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[Solution] Prove that the limit of a sequence is unique. #23609
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Solution: Can a sequence attain its limit? #23610
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[Solution] If a sequence never attains its limit, could its terms consist of a finite number of distinct number #23611
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[Solution] Show that a monotone sequence is bounded if it has a bounded subsequence. #23618
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Solution: Prove that a sequence { {a_n} } does not converge to the number a if and only if there is some & #23619
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[Solved] Sketch the graph of the function that satisfies all of the conditions below a) its domain is the int #23700
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(Solved) Sketch the graph of the function (f) and its derivative function f' where f(x)={ (1) #23701
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(Solved) In each case below identify the rules of differentiation you would apply to obtain the indicated der #23702
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(Solved) Give the equation of the line tangent to the curve g(x)=2x^4-√{x}-1 at the point (1/4, g(1/4)) #23703
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(Solved) The area of a right triangle with hypotenuse H is given by the formula A=1/4{H^2} sin (2theta), whe #23704
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[Solution] Use the closed interval method to find the absolute maximum and minimum values of the function f(x)= #23705
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