Find the velocity, acceleration, and speed of an object with position function r(t) = 3ti+(6 - t²)j for t = 1. Sketch the path of the object and its velocity and acceleration vectors.

What will be an ideal response?


Mathematics

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Compute the sales tax. Round to the nearest cent, if necessary.

A. $0.96 B. $0.99 C. $0.91 D. $0.81

Mathematics

Determine if each ordered pair is a solution to the given system of inequalities in two variables.x2 = y2 + 39x - y = 3(i) (8, -5); (ii) (-8, -5)

A. (i) Yes; (ii) No B. (i) Yes; (ii) Yes C. (i) No; (ii) Yes D. (i) No; (ii) No

Mathematics

Graph the piecewise-defined function.f(x) = 

A.

B.

C.

D.

Mathematics

Find an equation for the hyperbola described.Vertices at (0, ±10); asymptotes at y = ± x

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics