8. We learned in Math 180 (Calculus 1) that the average value of f(x) on the interval [a, b] is given by the 1 definite integral: (x) dx. -ff(x) dx. Use this fact to address the following scenario. Give your answer in exact b-a a simplified form and as a decimal rounded to the nearest thousandth. The concentration (in milligrams/milliliter) of a certain drug in a patient's bloodstream t hours after it has been administered is given by C(t) = 4te-t/5 Find the average concentration of the drug in the patient's bloodstream over the first 10 hours after administration.

Q: Evaluate the definite integral: 3 ƒ³₁ x(x² + 1)³/² dx. Give your answer correct to 2 decimal places.

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Q: Calculator OK. Consider the function f(x)=x' +4x+2 on the interval [0, 3). a. Find the AVERAGE VALUE…

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A: The given function is  f(x)=1x+2

Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

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Q: Evaluate the definite integral. Si f (æ) dæ, ƒ (x) =47–(7x³+ 13)/x?

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Q: 5. Find the average rate of change of the function f(x)= cos² x from x =- x = ". Use to - exact…

A: Rate of change=f(b)-f(a)b-a Given:  f(x)=cos2x, x=-π6,π4

Q: Evaluate the definite integral 10x(x-1)' dx. HINT: Try a change of variable.

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Q: Let f(t) = 135·(1.016)4·t.  Find f(9).  Round your answer to 2 decimal places

A: In this question , we can find f(9). Put t=9 in the given expression and solve.

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A: The definite integral ∫abfxdx represents the area under the curve fx.

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A: NOTE: Refresh your page if you can't see any equations. . the length of the base is increasing at a…

Q: = tan" (x) da Evaluate the integral I =

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Q: læ dx Vx + 2

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