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Point of Diminishing Returns In Exercises 61 and 62, find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your result. See Example 6.
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Calculus: An Applied Approach (Providence College: MTH 109)
- 5. mit answer urces Use Simpson's Rule and all the data in the following table to estimate the value of the 31 integral f(x) dx. 25 25 26 27 28 29 30 31 f(x) 4 44 4 -9 -2 9 2 5 (Round your answer to within two decimal places if necessary, but do not round until your final computation.) Simpson's Rule Approximation: PROGRES Score Completi 30 i Submit answer T The Weather Channel UP DELL FB F4 F5 F9 9. F10arrow_forwardHelparrow_forwardneed helparrow_forward
- Find the value of the integral: ∬xysin(x)cos(x) dA where the region R lies between the graphs of sine and cosine functions and between 45 and 225 degrees along the xxx-axis. a) Determine the correct limits and write the order of integration that you consider appropriate.b) Solve the integral, providing a detailed step-by-step solution.arrow_forwardFind the value of the following indefinite integral: (see image)arrow_forwardFind the volume of the following figure using double integrals in polar coordinates. The base of the figure is at z=0, and the figure is the lower part of the cone defined by the equation: a2z2- b2x2- b2y2-2 a2bz+ a2b2arrow_forward
- Show all steps. Correct answer is 37.6991118arrow_forwardFind the flux F(x, y, z) = xi + 2yj +4zk, S is the cube with vertices (1, 1, 1), (-1, -1, -1)arrow_forwardB-Solve the D.E of the following: 1- y+3y+2fy dt = f(t) for y(0)-1 if f(t) is the function whose graph is shown below 2- y" +4y = u(t) for y(0)-y'(0)-0 3- y"+4y+13y=e-2t sin3t 1 2 for y(0)-1 and y'(0)=-2arrow_forward
- 25 Given the following graph of the function y = f(x) and n = 6, answer the following questions about the area under the curve from z = 0 to z = 6. (Click on a graph to enlarge it.) your final (Round your answer to within two decimal places if necessary, but do not round until your computation.) a. Use the Trapezoidal Rule to estimate the area. Estimate: T6= b. Use Simpson's Rule to estimate the area. Estimate: S6 Submit answer Next item urself for a radically different driving experience with the 2024 Acura Integra. Offering a range of trims, each with its que characteristics, this sporty car caters to diverse preferences. Explore our comprehensive review to understand how E 0 T The Weather Channel UP F3 = F4 F5 DELL Parrow_forwardex 2. Diketahui ſ¹ e* dx ·00 x a. Kenapa integral diatas merupakan imroper integral? Jelaskan b. Selesaikan integral tersebutarrow_forwardInverse laplace transform Lect: Huda I H.w 1- F(S)= A- Find - F(s) of the following S (s+1)5 1 2- F(s) s² (s-a) 5+5 3- F(s)= s2+4s+3 1 4- F(s)= (s+2)2(s-2) 3s2-7s+5 5- F(s)= (s-1)(s2-5s+6)arrow_forward
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