Find an approximation of the area of the region R under the graph of f by computing the Riemann sum of f corresponding to the partition of the interval into the subintervals shown in the accompanying figures. Use the midpoints of the subintervals as the representative points. Round your answer to the nearest hundredth.
?
?
A. 7.92 sq units
B. 8.2 sq units
C. 8.27 sq units
D. 6.85 sq units
Answer: C
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Differentiate the function.r(t) = (cot t)i + (csc t)j
A. r'(t) = (-sec2 t)i - (tan t sec t)j B. r'(t) = (-csc2 t)i - (cot t csc t)j C. r'(t) = (sec2 t)i + (tan t sec t)j D. r'(t) = (csc2 t)i + (cot t csc t)j
Solve the problem.Rewrite the integral 
in the order 
.
A. 
B. 
C. 
D. 
Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (-3x + 9)5
A. y = u5; u = -3x + 9; 
= -3(-3x + 9)5
B. y = u5; u = -3x + 9; 
= 5(-3x + 9)4
C. y = u5; u = -3x + 9; 
= -15(-3x + 9)4
D. y = 5u + 9; u = x5; 
= -15x4
Answer the question(s) based on the following situation: For a population of 4000 students taking the SAT math exam, the scores on the exam have an approximately normal distribution with mean ? = 610 and standard deviation ? = 60.The third quartile of the scores on the exam is approximately
A. 650. B. 670. C. 640. D. 630. E. none of these