3. Use the graph and the actual areas of the indicated regions to evaluate the integrals in the following problems. ["*F(x) dx = [*fx) dx = f(x) dx = f(x) a B lb C = f(x) Area A 1 Area B = 2 Area C = 2 Area D = 0.6 4. Find the absolute maximum and absolute minimum for f(x) = x³ - 12x + 12 on the interval [0,3].

Q: dx-√√x²-ydy = 0

A:

Q: We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest…

A:

Q: Let C be the cost function. C'(x) = 3600 + 100x + 2x² (in blue) and let R be the revenue function,…

A: INTRODUCTION  Equating functions means setting two functions equal to each other. This is typically…

Q: 2. The marginal average cost of producing x sports watches is given by…

A: Given data is: C¯'x=-1000x2  and C¯100=25

Q: 28. For each function, sketch the graph of y = f(x) and find an expression for f'(x). Indicate any…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: The average cost function for a mining operation is C¯x=5x+3125x,  x≥0 where x is the number of…

Q: 6. f(x) cos (4x- 16), when x = 4 (0 in the given function is in degree measure)

A: Given- fx=cos4x-16 To Find- The value of the above expression when x=4 and θ in the degree measure.

Q: A retail company estimates that if it spends x thousands of dollars on advertising during the year,…

A: The profit function is given by, P(x)=-0.25x2 +80x+1100 Now by Power rule,…

Q: 3. A factory selling phones has a marginal function C(x) = 0.01x²-3x+229, where x represents the…

A:

Q: Suppose that a revenue function is given by R(x) = 100x – 6x² + 10e0.2z + 25. What is the correct…

A:

Q: given you 3. Use the function f(x) and its derivative f'(x) below to determine the intervals where…

A:

Q: The marginal revenue function for a product is given by: MR(x) = 40e0.5x + 400 %3D If the revenue…

A:

Q: Please see attached.

A: According to the given information, the marginal profit P’(x) in cents is given by:

Q: 3. Compute f(x)dx (6 points) f(x) = { 2x if x <1 4 if x21 %3D

A:

Q: . A factory that makes smartphones z is thousands of phones, and a m the area of the region above…

A: Given: Marginal cost of smart phones, numbers of phones, marginal revenue function. To find: Area of…

Q: ) The marginal revenue function for a product is given by: MR(x) = 40e0.5x + 400 If the revenue from…

A: Here we will first find out revenue function.

Q: ) = 6 cubed root√x^2 − 2x (a) Find the relative extrema. (b) Based on the information found above…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…