Calculus Homework Answers & Questions Page 7

• 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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• How do you use the Mean Value Theorem to estimate f(6)−f(2) if suppose f(x) is continuous on [2,6] and −4≤f′(x)≤4 for all x in (2,6)?

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• What is the horizontal asymptote of ##y=e^x## ?

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• How do you find the area between two curves using integrals?

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• How do you find the equations of the tangent lines to the curve ##y= (x-1)/(x+1)## that are parallel to the line ##x-2y = 2##?

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• How do you find the derivative of ##y= 10^(1-x^2)## ?

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• How do you find the slope of the line normal to the curve ##(x^2+4)*y=8##?

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• How do you determine if ##f(x,y)=-x^3+3x^2y^2-2y^2## is homogeneous and what would it's degree be?

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• How do you find the Slope of the curve ##y=sqrt(x)## at the point where ##x=4##?

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• How do you find ##lim (x+1)^(3/2)-x^(3/2)## as ##x->1^+##?

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• What is the derivative of ##y=csc^2(x)##?

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• What is the integral of ##sin(2x)cos^2(2x)dx##?

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