Find the center, foci, and vertices of the ellipse.25x2 + 49y2 = 1225
A. center at (0, 0)
foci at (0, -5) and (0, 5)
vertices at (0, -25), (0, 25)
B. center at (0, 0)
foci at (-7, 0) and (7, 0)
vertices at (-49, 0), (49, 0)
C. center at (0, 0)
foci at (- 2
, 0) and (2
, 0)
vertices at (-7, 0), (7, 0)
D. center at (0, 0)
foci at (0, - 2
) and (0, 2
)
vertices at (0, -7), (0, 7)
Answer: C
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = csc(cot x)
A. y = csc u; u = cot x; 
= csc3 x cot x
B. y = cot u; u = csc x; 
= csc2(csc x) csc x cot x
C. y = csc u; u = cot x; 
= - csc(cot x) cot(cot x)
D. y = csc u; u = cot x; 
= csc(cot x) cot(cot x) csc2 x
Translate the statement into an equation. Let the unknown number be represented by x. Then solve the equation for the unknown number.The quotient of some number and 25 is 40.
A. 25x = 40; x = 
B. x + 25 = 40; x = 15
C. 
= 40; x = 1000
D. 
= 25; x = 1000
Factor completely, or state that the polynomial is prime.x3 - 5x2 - 36x + 180
A. (x - 5)(x - 6)2 B. prime C. (x - 5)(x + 6)(x - 6) D. (x + 5)(x + 6)(x - 6)
Use synthetic division and the Remainder Theorem to find the function value.f(x) = 6x3 - 23x2 - 11x; find f
A. -2 B. -1 C. 2 D. 0