Implicit differentiation, integral, maximum area

Related BrainMass Solutions

• Implicit Differentiation: L'Hopital rule, Convergence

  What dimensions will maximize the enclosed area? Be sure to verify that you have found the maximum enclosed area. 7. Use implicit differentiation to find an equation of the line tangent to the curve at the point (1, 2). 8.

• Differentiation and integration

  What dimensions will maximize the enclosed area? Be sure to verify that you have found the maximum enclosed area. 7. Use implicit differentiation to find an equation of the line tangent to the curve x^3 + 2xy + y^3 = 13 at the point (1, 2). 8.

• Implicit Differentiation, Indefinite Integral, Graph of Inequality and Extreme of a Function

  Implicit Differentiation, Indefinite Integral, Graph of Inequality and Extreme of a Function are investigated. The solution is detailed and well presented.

• Calculus questions on differentiation

  differentiation, implicit differentiation and slope of tangent lines.

• Integration and Differentiation

  316763 Integration and Differentiation 1. Evaluate the integrals. a. Integral of cot cubed root of x / cubed root of x^2 dx b. Integral of cos^2x / sinx dx c. Integral of cosx sinx / cos^2x-1 2.

• calculus questions in differentiation and integration

  615463 calculus questions in differentiation and integration Use implicit differentiation to find dy/dx. xy+x+y=x^2 y^2 Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).

• Optimization: Finding the minimum amount of fencing using implicit differentiation.

  Then the total length of the three sides are: C=2x+y and its area is S=x*y=20000 our question is now: Min C=2x+y with constraint: x*y=20000 To do this, implicit differentiation is utilized to find the slopes of the C function and the constraint, and

• First and Second Derivative tests as appropriate

  y=(x+1)^2 (x^2+1)^(-3) Find dy/dt y=5t(2t+3)^3 Use implicit differentiation to find dy/dx x^3+3x^2 y+y^3=8 Find the derivative of y with respect to x, t, or 0 as appropriate.

• Limits : Evaluating Integrals, Anti-Differentiation and Area Between Curves

  28536 Limits : Evaluating Integrals, Anti-Differentiation and Area Between Curves (a) Consider the attached limit of summed terms (i) Explain why each of the sums in the attached expression gives an over-estimate of the area beneath the curve {see