Find the derivative of y with respect to x, t, or ?, as appropriate.y = 10e?(sin ? - cos ?)
A. 20e?(sin ? - cos ?)
B. 20e? sin ?
C. 0
D. 10e?(sin ? - cos ?) + 10e?
Answer: B
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Provide an appropriate response.Graph the functions f(x) = 
and g(x) = 
together to identify the values of x for which 
Confirm your findings algebraically.
A. (-3, -1) ? (1, ?) B. (-?, -3) C. (-3, ?) D. (-1, 1) ? (1, ?)
Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y + 2)2 - 25(x + 2)2 = 25
A. center: (-2, -2)
transverse axis: x = -2
vertices: (-2, -7) and (-2, 3)
foci: (-2, -2 - 
) and (-2, -2 + 
)
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
B. center: (-2, -2)
transverse axis: x = -2
vertices: (-1, -6) and (-1, 4)
foci: (-1, -1 - 
) and (-1, -1 + 
)
asymptotes: y + 2 = - 
(x + 2) and y + 2 = 
(x + 2)
C. center: (-2, -2)
transverse axis: y = -2
vertices: (2, -5) and (-2, 5)
foci: (-2, - 
) and (-2, 
)
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
D. center: (2, 2)
transverse axis: x = 2
vertices: (2, -3) and (2, 7)
foci: (2, 2 - 
) and (2, 2 + 
)
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
Use a graphing utility to graph the polar equation.r = 2 sin 
A. 
B. 
C. 
D. 
Solve the problem.Sandy manages a ceramics shop and uses a 
kiln to fire ceramic greenware. After turning off her kiln, she must wait until its temperature gauge reaches 
before opening it and removing the ceramic pieces. If room temperature is 
and the gauge reads 
in 11 minutes, how long must she wait before opening the kiln? Assume
the kiln cools according to Newton's Law of Cooling: U = T + (Uo - T)ekt.(Round your answer to the nearest whole minute.) A. 107 minutes B. 165 minutes C. 53 minutes D. 71 minutes