Solve the initial value problem. = 5t + sec2 t, r(-?) = 1

A. r = 5 + tan t - 4
B. r = t2 + cot t + 1 - ?2
C. r = 5t2 + tan t + 1 - 5?2
D. r = t2 + tan t + 1 - ?2


Answer: D

Mathematics

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Calculate the Taylor polynomial of second order that approximates f(x, y) near a.f(x, y) = , a = (4, 4)

A. 4 + (x - 4) +  (y - 4) - (x - 4)2 - (x - 4)(y - 4) - (y - 4)2
B. 4 + (x - 4) +  (y - 4) - (x - 4)2 - (x - 4)(y - 4) - (y - 4)2
C. 4 + (x - 4) +  (y - 4) + (x - 4)2 + (x - 4)(y - 4) + (y - 4)2
D. 4 + (x - 4) +  (y - 4) - (x - 4)2 + (x - 4)(y - 4) - (y - 4)2

Mathematics

Graph the parabola and label the vertex. Find the x-intercept.x = y2 + 3

A. vertex (3, 0), x-intercept (3, 0)

B. vertex (- 3, 0), x-intercept (- 3, 0)

C. vertex (3, 0), x-intercept (3, 0)

D. vertex (- 3, 0), x-intercept (- 3, 0)

Mathematics

Find the perimeter. Use 3.14 for ? when needed.

A. 20.56 cm B. 6.28 cm C. 12.56 cm D. 16.56 cm

Mathematics

Simplify the root, if possible.

A. cannot be simplified
B.
C. 7m + 4n
D. (7m + 4n)2

Mathematics