Use the graph of y = f(x) to state the value of the requested quantity if it exists.
f(x)
A. does not exist
B. 3
C. 1
D. -3
Answer: D
Mathematics
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (5 tan t)i - (9 sin t)j + (8 cos2 t)k ; t0 = 
A. x = 10 + 5t, y = -
- 
t, z= -8 + 4t
B. x = 5 + 10t, y = -
- 
t, z = 8 - 8t
C. x = 5 + 10t, y = -
+ 
t, z = 4 + 8t
D. x = 5 + 10t, y = -
- 
t, z = 4 - 8t
Mathematics
Determine the real solutions to the system of nonlinear equations.y = x2 + 4y = -x2 + 12
A. (8, 2), (8, -2) B. (2, 8), (2, -8), (-2, 8), (-2, -8) C. (2, 8), (-2, 8) D. (2, 8), (2, -8)
Mathematics
Multiply or divide as indicated. Write the answer in lowest terms.
÷ 
A. 
B. 
C. 
D. 
Mathematics
Evaluate the expression.
A. 126 B. 30,240 C. 504 D. 252
Mathematics