A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = t4 - 18t² – 40. Determine the total distance traveled by the particle from 0 < t < 4.

Q: If g(x) = 5 +x+2e², find g-¹(7) = 1

A: NOTE: Refresh your page if you can't see any equations. . here we need to solve this equation using…

Q: Find the inverse Laplace transform L¯¹{F(s)} of the given function. 2s + 12 s² + 12s +85 F(s) :…

A: Topic = Laplace transform

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Q: ey = 25e4x-z+w 10z - w + 3x = -23 8y + 3w - x -z = 5 x+y-z + 4w = -10

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A: The objective is to find F'(a) and G'(a) .

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Q: Determine the area of the region bounded by two the curves f(x) = x² – 18x + 28 and g(x) = 9x + 14.

A: Given: fx=x2-18x+28 and gx=9x+4 Graph between both the curves will be as following   Area between…

Q: 5 Invert the matrix A 8/1+10/2+713 = 0 511 + 912+4/3 = -9 = 1. 91+11/2+8/3 8 10 7 594 9 11 8 and…

A: Please see the below picture for detailed solution.

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A: See the answer below

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A: The limit of a function f(x) at x=a exists if and only if the right hand limit and left hand limit…

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Q: Solve the right triangle. Round your answers to the nearest tenth. 50° 26 B B = ₁ -0 c = 0 a = X

A: We can find the required answers using the given right triangle in the below steps.

Q: 7x – 4x − X

A: Topic = Integration

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Q: Find the partial derivatives of the function dw Or dw dw Ot W= √√2r² +58² +4t²

A: We can find the partial derivative of the function .

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A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: Describe the domain and range of the function. f(x, y) = 9x² - y Domain: {(x, y): x ≥ 0, y ≥ 0} {(x,…

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Q: Use the chain rule to find First the pieces: ow dr Ow მყ dw dz dr dt dy dt dz dt Now all together:…

A: The objective is to solve the above question.

Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

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Q: Find the volume of the parallep lapiped with adjacents edges PQ, QPR, PS where PLO, -4,₁-4), Q (²-1,…

A: Concept: The volume of a parallelepiped with adjacent sides PQ, PR and PS is given by,…

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Q: -4y5+4 dy +4 ]d-

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A: To find the equation of tangents to the given curve.

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Q: is the relation defined by the table a function of x

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Q: Determine the area of the region bounded by two the curves f(x) = x² - 18x +36 and g(x) = 9x + 18.

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: Find x. Round your answer to the nearest tenth of a degree. 24 X 11 O

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Q: dy ax 11 3-2X y-xy³e

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Given query is to find the interval where speed is increasing.

Q: If f(4) = 13 and f '(x) ≥ 1 for 4 ≤ x ≤ 7, how small can f(7) possibly be? Need Help? Read It Watch…

A: See this solution in below.

Q: า es of p is the series below divergent? rect answer below: n=1 (-1)+¹(In (4n+5))²

A: We have to find the value of p such that the given alternating series is divergent.

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Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: For a given commodity and pure competition, the number of units produced and the price per unit are…

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Q: For the images attached Find the limit of the following sequences or determine that the limit…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence