You start driving away from Morgantown at 12:00. Your distance away t hours after you left is given by f(t). Find your average speed from 2:00 to 5:00. X 0 1 2 3 4 5 f(x) 0 65 155 211 297 369 The average rate of change is (Round answer to nearest tenth.)

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A: This question can be solved using the equation of line in three dimensional space.

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A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

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A: To solve the system using the gaussian elimination method.

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A: Given a series ∑n=1∞an .  If ∑n=1∞an converges, but the corresponding series ∑n=1∞an  does not…

Q: 13. In |z|

A: It is depend upon the property of complex number and thier Logarithmic.

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A: Let's find cofactor of 6 in matrix D.

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A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines

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A: A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high.…

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A: Slope= df/dx

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Q: Evaluate the following: fo(5x²y³ + 3x) dydx a. b. ff ex+ydA where R = {(x,y)|-x≤ y ≤x, 0≤x≤ 2}

A: To find the value of given double integrals.

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Q: 1. Find the Inverse Laplace Transforms of the following. 4 1) -1 S-3

A: The general formula we have that  Laplace transform of eat u(t) is 1/(s-a)

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Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s 56

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Q: Evaluate the following integral: a.) SIS z ln y tan z dV if S = {(x, y, z) = R³ : − 1 ≤ x ≤ 0, e ≤ y…

A: S is a rectangular cuboid, hence limit of each individual are independent so the integral are…

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Q: 5.) Simplify. Write "undefined" for expressions that are undefined. -2 -3 THE -6 -3 M

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

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A: If Fx=∫exe et2 dt, then to find F1 and F'x.

Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: We have to prove the given property.

Q: hich point is on the line parametrized by the following? (-1, 2, 3) (3, 2, 0) (0, 0, 0) x = 3-t y =…

A: