Find the average value of the function on the given interval. f(x)=√x+3; [1, 22] (Type an integer or a fraction.) The average value is

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A: topic- geometric series

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: A-1 =1AadjA .

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A: Given:26-64.53-62+1220We need to simplify.

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A: Please refer to the image below

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A: Given

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Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

A: Let's find slope of the tangent line by using limit definition.

Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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A: We need to choose correct option.

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Q: I 2. Suppose that z is a function of r and y, and F(x2 - y², ry - 2², yz - 2²) = 0. Calculate and…

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Q: 2 sin(x − 57) + 4 5 4 3 2 1 Sketch a graph of the function f(x) = -3/2 -5/4 -I -3/4 -π/2 -π/4 -1 -2…

A: The general form: a sin (bx – c) + d Where, |a|  = Amplitude 2π/|b| = Period c/b = Phase shift d =…

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

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Q: Integrate. √7x²√x+2dx= (Use integers or fractions for any numbers in the expression.) √x+2 dx

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Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: - The region trapped between y = 4x 2 2x² and y = 2x² 1³ is shown below. - I

A: Please refer to the image below

Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We can state the Divergence theorem .

Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

A: To answer the given questions using the given graph.

Q: ГО 0 01 = 0 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagonal…

A: A=000014023characterstic polynomial of A =|A-λI|eigenvalues of A=|A-λI|=0eigenvector of A…

Q: or

A: Solution

Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

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Q: If u and are non-zero vectors and Proj=0, then which one of the following must be true? O The two…

A: Two vectors u and v are orthogonal if u.v =0 .

Q: C) (*) Suppose that the Celsius temperature at the point (x, y, z) on the sphere x² + y² + z² = 1 is…

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