Calculus Answers

find the maclaurin expansion for the function f(x)=cosx^2

Use Lagrange multipliers to find the max and min values of the function

f(x,y) = (x^2)(y^2)(z^2)

subject to the constraint function x^2 + y^2 + Z^2 = 1

Find the local maximum and minimum values and saddle point or points of the function
f(x,y) = 2x^(3) + xy^(2) +5x^(2) + y^(2)

A boat on the the ocean is 9 km from the nearest point on a straight shoreline; that point is 2 km from a restaurant on the shore. A woman plans to row the boat straight to a point on the shore and then walk along the shore to the restaurant. If she walks at 5 km/h and rows at 4 km/h. How far will the point on shore be from the restaurant if she plans to minimize her total travel time

determine whether the series convergent or divergent by using integral test

∞∑n=2 ln(n-1)/n-1

determine whether the series convergent or divergent by using integral test

∞∑n=2 ln(n-1)/n-1

If 0<θ<π/2, then find the minimum value of tanθ+cotθ.

the stiffness of a beam of rectangular cross section is proportional to the breath and the cube of the depth.if the breath is 20 centimeter ,express the stiffness as a function of the depth

For a voltage V=200sin200pi(t), find the root-mean-square voltage for one period.

Find all solutions to the equation.

7 sin2x - 14 sin x + 2 = -5