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

General calculus

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

Calculus

30) If f(x) = ln(sin(x^2)), then f’’(x)=? Explain. 31) The college is making parking lot, rectangular and enclose 6000 sq meters. A fence will surround the lot and on parallel to one of the sides will divide the lot into two sections. What are the dimensions in meters of the rectangle lot using the least amount of fen ...continues

Rotation Problem for Calc II

a)Find the center of mass with constant density of the region bound by y=x5, y=2-x4 and the y axis; b)Rotate it about the y axis and find its volume; c) Rotate it about the x axis and find its volume.

Differential Equation

Given dy/dx= -xy/(ln y), where y>0 find the general solution of the differential equation What solution satisfies the condition that y=e^2 when x=0... express in y=f(x) Why is x=2 not in the domain found from that?

Volume of Ellipsoid

Find the volume of the ellipsoid formed by rotating the semi-ellipse (see attached word file) about the x axis.