Calculus Homework Answers & Questions Page 4

• Calculus homework?

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• Calc máxima and mínima

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• गुणा

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• Convergent or divergent

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• Geometric application of the definite integral

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• Integration by parts.

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• Équations

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• x^2 + 1 =5

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• Find atleast two equations of a line through ( 4,

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• Reference angle

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• Tecniques of Differentiation

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• Find the derivative of the function

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• Funciones

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• Find the local maximum and minimum values of ##f## using both the First and Second Derivative Tests? ##f(x) = x / (x^2 + 25)##

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• What is the derivative of ##1+tan^2x##?

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• When would you use u substitution twice?

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• How do you find the vertical asymptotes of the function ##y= (x^2+1)/(3x-2x^2)## ?

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• How do you find the Maclaurin series for ##cos^2 (x)##?

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• How do you show that the derivative of an odd function is even?

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• What is the integral of ##e^(7x)##?

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• What is the integral of ##int ( 1 / (25 + x^2) ) dx ##?

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• What is the x-coordinate of the point of inflection on the graph of ##y=1/10x^(5)+1/2X^(4)-3/10##?

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• How do you find the integral of ##x^3 * sin( x^2 ) dx##?

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• How do you find the third degree Taylor polynomial for ##f(x)= ln x##, centered at a=2?

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• What is the difference between a Tangent line and a secant line on a curve?

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• The functions f and g are defined for all x€R \{ -1,0,1} by f(x) = (x+1)/(1-x) and g(x)=1/x . Show that (f○g)^-1 (x)= (f○g)(x). How to do this ?

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• How to find average acceleration? a bird is flying south at 8 m/s. the bird veers and changes velocity to 6 m/s east over a 2 second period. What is the average acceleration (magnitude and direction) during this 2 second interval?

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• How do you find the critical points of a rational function?

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• What is the derivative of ##mx+b##?

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• Using the integral test, how do you show whether ##sum 1/sqrt(n+1)## diverges or converges from n=1 to infinity?

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• What is the distance between the parallel planes ##3x + y - 4z = 2## and ##3x + y - 4z = 24##?

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• Given ##x^2 + (y – 2)^2 = 4 ## how do you derive a parametric equation?

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• What is the derivative of ##e^(lnx)##?

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• How do I find the equation for a tangent line without derivatives?

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• How do you use a graphing calculator to find the limit of ##(12(sqrtx-3))/(x-9)## as x approaches 0?

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• How do you find the derivative of ##y=cos(x)## from first principle?

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• How do you use the epsilon delta definition to prove that the limit of ##x^2-7x+3=-7## as ##x->2##?

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• What is a corner in calculus?

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• How do you integrate ##ln(x^2-x+2)dx##?

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• If a 200 pound cable is 100 feet long and hangs vertically from the top of a tall building, how much work is required to lift the cable to the top of the building?

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• Find the volume of the largest rectangular box in the first octant with three faces in the coordinate plane and one vertex in the plane x + 2y + 3z = 6 a. using the Second Partial Test . b. using Lagrange multipliers. How do I do this?

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• What is the derivative of ##sinx(sinx+cosx)##?

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• What is the antiderivative of ##3e^x##?

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• Suppose that we don't have a formula for g(x) but we know that g(1) = −3 and g'(x) = √ x^2 + 8 for all x. Use a linear approximation to estimate g(0.9) and g(1.1)?

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• What is the line of symmetry of the graph of ##y=1/(x-1)##?

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• How do you remove a removable discontinuity?

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• How do you know when to use L'hospital's rule twice?

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• What is the derivative of ##y=ln(sec(x)+tan(x))##?

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• How do you use the limit definition to compute the derivative, f'(x), for ##f(x)=cos(3x)##?

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• What is the third derivative of tan x?

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