Find an equation in point-slope form of the line having the specified slope and containing the point indicated.m = 4, (8, -8)
A. y + 8 = 4(x + 8)
B. y + 8 = 4(x - 8)
C. y - 8 = 4(x - 8)
D. y - 8 = 4(x + 8)
Answer: B
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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 6, u '(2) = 4, v(2) = -2, v '(2) = -5.
(3v - u) at x = 2
A. 0 B. -11 C. -19 D. -12
Evaluate the expression. Write your answer without exponents.
-3
A. 
B. 
C. 
D. 
Let 
. Use the definition of derivative and the Procedure/Example table in this section to verify that 
. Then, find the slope of the tangent to the graph of
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.
?
A. 53
B. 23
C. -53
D. -23
E. 0
Solve the problem.The recycling process for aluminum cans is not perfectly efficient, and only a portion of the material of a particular can ends up in the next generation of cans. The "effective mass" of a can is its initial mass plus the cumulative mass of aluminum that it passes on to subsequent recycling generations. If the recycling process is 95% efficient, find the effective mass of a 13.7 gram can. Round to the nearest gram.
A. 20 g B. 274 g C. 275 g D. 276 g