Find the derivative.f(x) = 8x - 1
A. f'(x) = 0
B. f'(x) = 7
C. f'(x) = 8
D. f'(x) = 8x
Answer: C
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Find the length of the curve.x = cos 2t, y = sin 2t, 0 ? t ? 2?
A. 6? B. ? C. 4? D. 2?
Provide an appropriate response.The demand equation for a certain product is p = 30 - 0.1q, where p is the price per unit (in dollars) for q units. If its supply equation is p = 0.15q + 5, find the consumers' surplus and the producers' surplus when market equilibrium has been established.
Fill in the blank(s) with the appropriate word(s).
Factor completely. If the polynomial is prime, state this.v2 - 6v + uv - 6u
A. (u - 6)(v2 + v) B. (v - 6)(v + u) C. (v + 6)(v - u) D. (v2 - 6)(v + u)
Multiply. Assume that no radicands were formed by raising negative numbers to even powers.(3 + 
)(3 - 
)
A. 3 - 2
B. -4
C. 2
D. 16