Use the given information to find the exact value of the trigonometric expression.sin ? = 
; The terminal side of ? lies in Quadrant II.
Find tan 2?.
A. 
B. 
C. - 
D. - 
Answer: A
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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 = 3 and x = 7 using a left sum with four rectangles of equal width.
A. 126 B. 86 C. 105 D. 117
Find the gradient field F of the function f.f(x, y, z) = (x6y2 - y9z3)e-z2
A. F = 6x5i + (9y8 - 2y)j + 2z4e-z2k B. F = 6x5y2i + (9y8z3 - 2x6y)j + (2z2 - 3)y9z2k C. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + y2ze- z2[y7z(2z2 - 3) - 2x6]k D. F = 6x5y2e-z2i + (2x6y - 9y8z3)e-z2j + (3 - 2z2)y9z2e-z2k
Determine the phase shift of the function.y = 
sin (?x + 3)
A. - 
units to the left
B. 
units to the left
C. 
units to the right
D. 3 units to the left
Solve the problem.A deposit of $10,000 is made in an account that earns 5.2% interest compounded quarterly. The balance in the account after n quarters is given by the sequence an = 10,000
n, n = 1, 2, 3, ...Find the balance in the account after five years by computing a20
A. $12,947.59 B. $10,667.12 C. $5239.79 D. $6473.79