Find parametric equations for C, if C is the curve of intersection of the hyperbolic paraboloid z = y² - x² and the cylinder x² + y² = 4 oriented counterclockwise as viewed from above.

What will be an ideal response?


x = 2cos(t), y = 2sin(t), z = -4cos(2t)

Mathematics

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Use algebraic and/or graphical methods to solve the inequality.2x3 + 9x2 - 27x - 54 > 0

A. x < -6 or -  < x < 3
B. -6 < x < -  or x > 3
C. x ? -6 or -  ? x ? 3
D. -6 ? x ? -  or x ? 3

Mathematics

Evaluate the sum. ?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the x- and y-intercepts of the graph of the given equation, if they exist. Then graph the equation.y = -6 - 8x

A. x: ; y: -6

B. x: - ; y: -6

C. x: -6; y: 

D. x: -6; y: - 

Mathematics

Use the pH scale to solve the problem. Use the given concentration [H+] of a substance to calculate the pH value of the substance and classify the substance as an acid or a base. Round to two decimal places.[H+] = 2.1 × 10-4

A. pH ? 6.68, acid B. pH ? 4.32, base C. pH ? 0.84, acid D. pH ? 3.68, acid

Mathematics