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What values of a and b maximize the value of ſ(4x-x2) dx? (Hint: Where is the integrand positive?) and b=maximize the given integral. (Simplify your answer. Type a whole number.) a =
Evaluate the following integral. + 6x - 1 dx X-X Find the partial fraction decomposition of the integrand. St*6x=1&x=SO dx Evaluate the indefinite integral. S*** + 6x - 1 3 X-X dx =
14 of 15 (0 complete) Evaluate the definite integral J (1x² - 6x + 5) dx (7x² - 6x + 5) dx = 0 (Simplify your answer.)
Maximize Q = xy, where x and y are positive numbers such that x +9y2 = 12 Write the objective function in terms of y. (Type an expression using y as the variable.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) . The maximum value of Q is (Simplify your answer.)
Question completo f(x)dx - 6x + 5)dx It is desired to approacimate the following integral recaling 1 [flxo) + 4f(xx) + f(x3)] with Truel is most closely: Approximate the value of the integral using the single step Simpson's 1/3 rule. The "absolute relative true error. A 6.6667 B. 0.000% C.3.3339 0.-6.66675 Click Save and submit to save and submit. Click Save All Anderstore all ones. Type here to search не е ва
11. The graph of fis shown. Determine the value of f (x)dx= y = f(x) - X 16 32 48 64 1 12. Consider the definite integral s sin(tw) dw. What is the interval of integration for this integral? What is the variable of integration? What is the integrand? 13. Suppose that f* f(x) dx = 5, ſ. f(x)dx = -3, * g(x)dx = -1 and 1 g(x)dx = 7. Determine the value of each integral. Box Answer (5) $(x)+...
Compute the exact value of the definite integral Z 5 1 x + 1 x dx. simplify your answer.
f(x)dx=_, | f(r)dr? Given that what IS Preview answer Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1-5, A2-4, A3-2 and A4:1 y-fx) A1 АЗ A2 igure is NOT to scale Enter your answer as a whole number Evaluate dx. 1 + e1.82z 71.7 answer If -16 f(x)dx = 12 and r-16 g(x)dx = 15 J- 85 and -16 h(z)dz 21 -85 what does the following integral...
PULUI Consider the following first order differential equation dy 6x?y + = g(x) dx x + 1 where g(x) is some given function. What is the integrating factor of this equation? Your answer: 1 o (x)= 3 (x3 +1) 1 (x)= (x²+1)? O (x)=(x + 1)2 o (x)=(x + 1)2
For what values of a and b is the line 6x + y = b tangent to the graph of y ax' when x = 2? Report only the value of b. Show your work in the PDF version of the test.