Calculus Homework Answers & Questions Page 7

• 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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• How do you integrate ##int sin^2(x) dx## using integration by parts?

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• How do you integrate ##[(e^(2x))sinx]dx##?

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• How do you find horizontal asymptotes for ##f(x) = arctan(x)## ?

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• What is the Derivative of root x + 1/root x?

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• What is Integration Using Simpson's Rule?

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• What is the limit as x approaches 0 from the right-hand side of ##ln(x)##?

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• How many local extrema can a cubic function have?

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• How do you find the derivative of ## cos^2(2x)##?

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• What is the derivative of ##((sinx)^2)/(1-cosx)##?

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• What is the limit of ##( x^3 - 8 )/ (x-2)## as x approaches 2?

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• How do I solve the initial-value problem: ##y'=sinx/siny;y(0)=π/4##

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• What is the Taylor Series expansion for f(x+2h)?

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• How do you find the derivative of ##sqrt(e^(2x) +e^(-2x))##?

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• How do you find the derivative of ##sin2x - cos2x##?

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• How do you find the integral of ##e^(7x)*sin(2x)dx##?

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• What is the second derivative of ##f(x)= sec^2x##?

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• What is the antiderivative of ##sin^2(x)##?

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• What is the derivative of ##y=tan(arcsin (x))##?

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• Evaluate lim as x approaches negative infinity, 1/e^x?

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• How can you prove that ##d/dx(cothx) = -csch^2x## using the definition ##cothx=coshx/sinhx##?

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• How do you find the inflection point of a logistic function?

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• What is the derivative of ##y=arctan(3x)##?

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• How do you find ##(dy)/(dx)## given ##x^2+y^2=1##?

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• How do you differentiate ##y=x^(x-1)##?

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• How do you find the derivative of ##sin(x^3)##?

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• What is the derivative of ##e^pi##?

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• How do you find discontinuity of a piecewise function?

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• How do you find tangent line equation for ##1+ln(xy)=e^(x-y)## in point (1,1)?

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• How do you find the limit of ##x/sinx## as x approaches 0?

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• How do you use the summation formulas to rewrite the expression ##Sigma (4i^2(i-1))/n^4## as k=1 to n without the summation notation and then use the result to find the sum for n=10, 100, 1000, and 10000?

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• What's the integral of ##int tanx / (cosx)^2 dx##?

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• What is the extreme value of a quadratic function?

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• What is the antiderivative of ##(sin(x))^2##?

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