Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 3 and x = 7 using the midpoint sum with four rectangles of equal width.

A. 126
B. 117
C. 105
D. 86


Answer: C

Mathematics

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Compute the gradient of the function at the given point.  

A. ?f = j - k
B. ?f = - j + k
C. ?f = - j - k
D. ?f = - j - k

Mathematics

Determine i) the domain of the function, ii) the range of the function, iii) the domain of the inverse, and iv) the range of the inverse.f(x) = 

A. f(x): D = , R = ;
f-1(x): D is all real numbers, R = 
B. f(x): D = , R = ;
f-1(x): D = , R = 
C. f(x): D = , R = ;
f-1(x): D = , R = 
D. f(x): D = , R is all real numbers;
f-1(x): D is all real numbers, R = 

Mathematics

Solve the problem.The price p and the quantity x sold of a certain product obey the demand equation: What is the revenue to the nearest dollar when 600 units are sold?

A. $130,000 B. $10,000 C. $8571 D. $111,429

Mathematics

Solve the problem.A radioactive substance has a decay rate of 1.9% per minute. Of an initial amount of 1000 g of the substance, how much will remain after 80 minutes?

A. 218.7 g B. 196.8 g C. 295.3 g D. 245 g

Mathematics