Find the velocity of a particle that has the given acceleration and the given initial velocity.
a(t) =3k, v(0) = 18i-7j
v(t) = 18i-7j+3tk
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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 0 and x = 3 using a right sum with two rectangles of equal width.
A. 16.875 B. 8.4375 C. 3.375 D. 12.5
The lengths of the sides of a triangle are given. Determine if the triangle is a right triangle. If it is, identify the hypotenuse.9, 12, 15
A. right triangle; 12 B. right triangle; 15 C. right triangle; 9 D. not a right triangle
Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = 
A. 
B. 
C. 
D. 
Find the equation in standard form of the parabola described.Find the equations of the two parabolas in standard form that have a vertical axis of symmetry and a focus at the point (0, 4), and that pass through the origin.
A. x2 = 16y and x2 = -16y B. y2 = 16x and y2 = -16x C. y2 = 8x and y2 = -8x D. x2 = 8y and x2 = -8y