See the collection of Calculus solutions at your avail
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[Solved] lim as x approaches infinity of (5-2x^3)/(x^3+2) #23707
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[Solution] use the definition of continuity and the properties of limits to: a) show that the function f(x)=x^ #23708
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(Solved) a) Sketch the graph of the curves y=x and y=cos x showing the point of intersection b) use the inter #23709
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[Solution] Sketch the graph of the function that satisfies all conditions below *f(-x)=-f(x) *f(0)=0 *lim as x #23710
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[Solution] Explain why the function f(x) = { x^2 - 2 if x does not equal -3, 5 if x = -3 f(x)={ #23711
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Solution: A spherical snowball is melting in such a way that its surface area decreases at a rate of 1 in^2 /m #23713
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[Solved] Sketch the graph of the function f(x)=x^3-6x^2-15x+4. Use the derivative to locate key points (local #23714
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(Solved) a closed container with a square base is to have a surface area of 15in^2. Find the maximum possible #23715
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[Solved] Evaluate the integrals below. a- ∫{(x)/({{(1+x^2))^2}}dx} b- ∫{ cos (3theta){{ sin }^{ #23716
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(See Solution) find a single function that satisfies all of the conditions below a - f"(x) = 3cosx + 5sinX b- f'(0 #23717
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[Solution] a) make a sketch of the region lying between the curves f(x) = x^2 - 2x and g(x) = 4-x^2. Find the a #23718
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[Solution] consider the function f(x) = 4-x^2 a - find the average value of f(avg) of f on the interval (0,2) #23719
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(Solved) A rectangular tank with a base 6 meters by 8 meters and a height of 7 meters is currently filled wit #23728
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Solution: An empty tank has the shape of a right circular cone. The height of the tank is 6 feet and the radiu #23729
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[Solved] A 100-ft length of steel chain weighing 15 lb/ft is dangling from a pulley. How much work is require #23730
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(Solved) Find the volume of the solid generated by revolving the region enclosed by: y=2x^2, y=0, x=2 about t #23734
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[Solution] Find the arc length of the graph of the curve y=() over the interval [1,8] #23735
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(Solved) Integrate #23736
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Solution: integrate dx #23737
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(Solved) Integrate #23738
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(Solved) integrate dx #23739
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[Solution] find the limit of the improper integral dx #23740
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[Solved] find the equation of the tangent line in Cartesian coordinates of the curve given in polar coordinat #23741
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(Solved) test for convergence or divergence, absolute or conditional if the series converges and it is possib #23742
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[Solution] Find the open interval of convergence and test the endpoints for absolute and conditional convergenc #23743
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[Solved] For the equation f(x)=arcsin x a. Find the taylor polynomial of degree 3 of at c= 1/2 b. Determine #23744
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Solution: Find the maclaurin series in closed form of a. f(x)=1/ b. f(x)=cos3x #23745
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[Solution] use the chain rule to find , where w=sin(2x+3y), x=s+t, y=s-t, s=0, t= #23746
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[Solved] maximize f(x,y) = given the constraint x+y-8=0 #23747
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[Solution] Find the arc length of the graph of the curve y=() over the interval [1,8] #23749
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(Solved) use the chain rule to find , where w=sin(2x+3y), x=s+t, y=s-t, s=0, t= #23750
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[Solution] maximize f(x,y) = given the constraint x+y-8=0 #23751
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[Solved] Write the first six terms of the sequence for n = 0, 1, 2, 3, 4 and 5. fn(x) = (-1)n x2n #23904
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[Solved] Write the first six terms of the sequence for n = 0, 1, 2, 3, 4 and 5. gn(x) = (-1)n x2n + 1 #23905
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[Solution] Add the first six terms of the sequence using Excel. Enter these values and calculations in your spr #23906
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[Solved] Let D be a region bounded by a simple closed path C in the x-y plane. Use Green’s Theor #23943
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[Solved] Prove equation (3): ∫_{C}{Q}dy=∫_{D}{(partial Q)/(∂ x)dA} (3) #23944
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[Solved] Find the derivative: y=( sec x+ csc x)/( csc x) #24031
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[Solved] Find the derivative: y={{(4x^2+2)}^3} Find the indicated derivative of the function: #24032
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[Solved] Find the derivative: ({d^3}y)/(dx^2) for y={{(5-5x)}^4} #24033
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(Solved) Find the derivative: ({d^2}y)/(dx^2) for y=8 sin x #24034
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(See Solution) Assuming that the equation defines a differential function of x, find DxY by implicit differentiatio #24035
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Solution: Assuming that the equation defines a differential function of x, find DxY by implicit differentiatio #24036
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Solution: A ladder is slipping down a vertical wall. If the ladder is 17ft long and the top of it is slipping #24037
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[Solved] A storage tank used to hold sand is leaking. The sand forms a conical pile whose height is twice the #24038
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(Solved) A person standing close to the edge on the top of a 200-foot building throws a baseball vertically u #24052
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(Solved) Compare the limit behavior of the function f(x) = ax^4 and g(x) = bx^4 if; a) ab > 0 b) ab < 0 #24053
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(See Solution) The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressu #24062
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(See Solution) The table of values was obtained by evaluating a function. Determine which of the statements may be #24063
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[Solution] Sketch the graph of f(x) = {log_{3}}x. State the domain, range, and vertical asymptote of this funct #24064
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(Solved) An escalator in a department store is 50 feet long and carries customer through a vertical distance #24070
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[Solution] Simplify the following two expressions: a) {{((3x^2{{y}^{-3}})/(2xy^2))}^3} b) 7 √{27xy^2} #24072
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[Solution] Write the ∂ fraction decomposition of the rational expression. Check your result algebraically. #24078
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(See Solution) Find the area of the region by y=1/x and 2x+2y=5. #24184
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Solution: Find the volume of the solid formed by revolving the region by y=x^2+1, y=0, x=0 and x=1 about the x #24185
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[Solved] Find the volume of the solid formed by revolving the region by y=x2 and y = 4 about the x axis. #24186
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[Solution] Determine the integral that represents the volume of the solid formed by revolving the region bounde #24187
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[Solution] Determine the integral that represents the volume of the solid formed by revolving the region bounde #24188
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Solution: Find the volume of the solid formed by revolving the region bounded by y = x3, x=2 and y = 1 about t #24189
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[Solution] Find the volume of the solid formed by revolving the region bounded by y = ½ (x-2)2 and y = 2 about #24190
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[Solution] Simplify: #24233
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(Solved) Evaluate Line integral ∫_{C}^{{}}{xyds} where C is the line segment joining (-1, 1) to (2,3). #24271
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[Solved] Evaluate ∫_{D}{x sin ydA}, where D={ (x,y):0≤ x≤ cos y,0≤ y≤ (π )/(2) } #24272
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(Solved) Evaluate Flow Line Integral ∫_{C}{F• Tds}, F(x,y,z)=(xy,yz,zx), r(t)=(t,{t^2},{t^3}), 0≤ #24273
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(Solved) Evaluate ∫_{E}{zdV}, with E={ (x,y,z):0≤ x≤ 1,0≤ y≤ 1-x,0≤ 1-x-y } #24274
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(See Solution) Evaluate the flow line integral using Green's theorem: C is the triangle with vertices (0, 0), (2, 0 #24275
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(See Solution) Use the Second Derivative Test for Vector Calculus to get Extrema or Saddle Points of f(x,y)=x #24276
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(See Solution) z=x^2-3x^2y^3, x=s{e^t}, y=s{e^{-t}}. Find (partial z)/(∂ s), (partial z)/(partial t). #24277
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Solution: Find the tangent plane to the elliptic paraboloid (surface) z=2x^2+y^2 at (1,1,3). #24278
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(See Solution) Compute ∫_{R}{{e^{(x+y)/(x-y)}}dA} #24279
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[Solution] The radius of a car wheel is 13 inches. How many revolutions per minute is the wheel making when the #24313
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(Solved) A wheel is rotating at 7 radians/sec, and the wheel has a 33-inch diameter. To the nearest foot per #24314
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[Solved] A bicycle wheel with a radius of 13 inches makes 5.9 revolutions per second. What is the speed of th #24317
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[Solution] A bicycle wheel with a radius of 14 inches makes 3.4 revolutions per second. What is the speed of th #24318
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(Solved) Simplify. All exponents should be positive in your solution. (3x-3y)-3 (x3y-3z)-3 #24344
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[Solution] How long, to the nearest tenth of a year, will it take for an investment of $4,500 to grow to $13,50 #24351
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(See Solution) Prove the following biconditional: “The torsion of a space curve is 0 if and only if it is a plane c #24640
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(Solved) Suppose that y = f (x) is a smooth function whose domain is all of {R}. Show that there must exist a #24641
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(See Solution) Compute the projection of the curve < cos t, sin t,t > onto the plane x + y + z = 0. #24643
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[Solution] Dimensional analysis is a powerful tool for understanding the validity of formulas. For example, dir #24644
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[Solved] Describe the surface that satisfies: 1=x^2+y^2-z^2 #24647
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Solution: What is the surface that satisfies z = r2 in cylindrical coordinates? #24648
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Solution: What is the surface that satisfies {{rho }^2}-7rho +12=0 in spherical coordinates? #24649
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Solution: Consider the curve (r = 4, θ = t, z = t) where this curve is written in cylindrical coordinat #24651
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[Solution] a) Discuss how arc length arises from polygonal approximations of curves. b) Approximate the length #24652
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Solution: A typist for Kelly serves reports to a 3E properties for work @ 10am and leaves at 6 pm. After havin #24690
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[Solved] What number is exceeded by its square root by the largest amount? #24750
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(See Solution) Find two positive numbers x and y whose sum is 30 and are such that xy2 is as large as possible. #24751
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[Solved] A bookstore can obtain a certain gift book from the publisher at a cost of $3 per book. The bookstor #24752
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[Solved] Farmers can get $2 per bushel for their potatoes on July first, and after that, the price drops by 2 #24753
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Solution: Each machine at a certain factory can produce 50 units per hour. The setup cost is $80 per machine #24757
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[Solution] According to postal regulations, the girth plus length of parcels sent by fourth-class mail may not #24758
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[Solution] For speeds between 40 and 65 miles per hour, a truck gets 480/x miles per gallon when driven at a co #24759
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[Solution] Find an equation for the surface of revolution generated by revolving the curve in the indicated coo #24854
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[Solution] Find the critical values for y=(x^2)/(√{x+1)}. Open a Power Point or a Word document and show #24857
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[Solved] Test your critical point(s) with the First Derivative Test. Show your work in your document with Equ #24858
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[Solved] Graph the function in Winplot. Discuss comparisons between the above work and the graph and make adj #24859
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(See Solution) Defend the following statement as true or false. As x values get larger and larger, the graph of y g #24860
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[Solution] Verify W={ (x,y,5x-7y):x and y are real numbers } is a subspace of V=R^3. #24872
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[Solved] W is the set of all functions that are differentiable on [ 5,7 ]. V is the set of all functions that #24873
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[Solution] Show that the set of all continuous function over the closed interval [a,b] form a vector space. #24891
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[Solved] Find these terms of the sequence {{a_n}}, where {a_n}={{(-2)}^n}+5. a.) {a_1} b.) {a_2} c.) #24968
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