Find the average value of the function on the given interval. ) = ¹ on [1, 5] X f(x) =

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A: Let's find indicated side and angles.

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Q: I) Evaluate the following expressions. 17 TT 9 1) sin-1 COS

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Q: 10. Given f(x) > 0 with f '(x) 0 for all x in the interval [0, 2] with f(0) = 1 and f(2)= 0.2, the…

A: Given f(0)=1f(2)=0.2given values are for the left, right, trapezoidal, and midpoint rule…

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A: I am attaching image so that you understand each and every step.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1. (²4. -9CK) lim + sin(4t)…

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Q: (a) Evaluate P(0) (round to the nearest tenth of a million) and interpret its meaning in the context…

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A: The given function is; f(x)=1/(x+2).

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A: Given data÷   rt=<4sint,7t,4cost>   For curve option A is correct one.

Q: Find the work done by F = xyi+yj - yzk over the curve r(t) = ti + t²j + tk, 0≤t≤1

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Q: Use the model A = Pet or A = P1+ for years. If a couple has $50,000 in a retirement account, how…

A: Please see the below picture for detailed solution.

Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: Find the second derivative of the function. f(x) = 9(5-2x)4 f"(x) = Submit Answer

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Q: pulation of a city, in millions, since 1990 has grown at a rate of P'(t) = 0.11 e 0.01 r of years…

A: Topic:- application of integration

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Inverse laplace

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: To find inverse Laplace Transform:

Q: Integrate 0 1 S √1 1-4x2 dx using a trigonometric substitution. sin-¹ (2x)√1-42²+ C 0 1 -sin-¹ (2x)…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A: The auxiliary equation is: m2+3m+2=0m2+m+2m+2=0m(m+1)+2(m+1)=0(m+2)(m+1)=0m=-2 or m=-1 smaller value…

Q: I) Given a triangle with interior angles a, 3,7, and opposite sides with lengths a, b, c…

A: SOLUTION   GIVEN DATA- a=1,b=6-22,γ=135°,α=?Interior angles-α,β,γ and opposite side lengths a,b,c…

Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

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Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - (+ + -) (²) lim

A: We can evaluate the sum of n terms by using the following results.

Q: 6). For an as follows, write the sum        an as a geometric series. a1 =  1 18 and  an an + 1 =…

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Q: Find r(t) u(t). r(t) = (9t − 3)1 + ¹³3 + + 4k u(t)= t²i8j+t³k r(t). u(t) Is the result a…

A: The objective of the question is determine the dot product .

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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