Decide whether the slope is positive, negative, zero, or undefined.
A. Undefined
B. Positive
C. Negative
D. Zero
Answer: D
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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) = 9, u '(2) = 2, v(2) = -3, v '(2) = -4.
at x = 2
A. - 
B. - 10
C. 
D. 
Without using a calculator, give the exact trigonometric function value with rational denominator.cot 45°
A. 1
B. 
C. 
D. 
Solve the problem.Wind resistance or atmospheric drag tends to slow down moving objects. Atmospheric drag varies jointly as an object's surface area A and velocity v. If a car traveling at a speed of 30 mph with a surface area of 35 ft2 experiences a drag of 115.5 N (Newtons), how fast must a car with 40 ft2 of surface area travel in order to experience a drag force of 308 N?
A. 70 mph B. 75 mph C. 67 mph D. 72 mph
Use integration by parts to find the integral. Round the answer to two decimal places if necessary.
dxGive your answer in exact form.
A. 6e7 B. 8e7 + 1 C. 6e7 + 1 D. 6e7 - 1