Integral

Can you please show all the working to solve the following integral?

Integration

Evaluate the integral in the attached file 'Integral.doc'. Note: a, b, h, density (ro), and g are constants

Solving an integral

Can you show me the solution to this integral? See attached file for full problem description.

Derivative of F with respect to x or y

Find F that solves the following equations: df/dx (x,y) = y df/dy (x,y) = x + y I think the answer would be F = xy and F = xy + 1/2 y^2 Is this right if not, what am I doing wrong?

Median Integration

Solve the median for the probability density function in the attached file 'Median.doc'.

Graph of given equation is elliptic or hyperbolic paraboloid

Determine whether the graph of the given equation is an elliptic or a hyperbolic paraboloid. z = 9x^2 - 4xy + 6y^2

Arc Length

Evaluate the integral in the attached file "Arc Length.doc" for arc length (L). The intent is to solve for a numerical answer and the values for a, b, and t are all constant.

Business Calculus

Business Calculus. See attached file for full problem description.

Limits and area

12) What is limit as h approaches 0 of [cos(pi/2 + h) – cos(pi/2)] / [h] Ans is –1. Explain. 14) The area of the region in the first quadrant between the graph of y=x times the sqrt of (4-x^2) and the x axis is? Ans is 8/3. Explain. 15) If x^2 + y^3 = x^3y^2, then dy/dx = ? Explain. Ans is [3x^2y^2 – 2x] ...continues

General calc problems

20) If the function f is continuous for all real numbers and lim as h approaches 0 of f(a+h) – f(a)/ h = 7 then which statement is true? a) f(a) = 7 b) f is differentiable at x=a. c) f is differentiable for all real numbers. d) f is increasing for x>0. e) f is increasing for all real differentiable ans is B. Explain ...continues