An object moving in a straight line has an acceleration in m/s2 given by a = 18t + 4. Find its distance (in m) from the starting point after 3 seconds if, after 1 second, its veloctiy is 8 m/s and s -3 meters

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A: Given; g'(x) = cos x and g(π/2) = 4.

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A: We can explain the answer as below.

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A: We have to find sum

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A: Let's find.

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Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

A: It takes twice as much work to stretch a certain spring from 9 to 10 in., as itdoes to stretch it…

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Q: Give a formula for an antiderivative F(x) of f(x) = In(x)(tan¬1 vx) such that F(3) = 0. 1)

A: This is a problem related to differentiation of the function. Based on the product rule we will…

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A: Topic = Limits As per guidelines , At a time only one question can be answered. please repost for…

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A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

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A: Topic:- solution of linear differential equations

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A: Given  A direction vector of a line is an indicator of it's slope

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Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: Évaluate the integral of 2xdx /(2x²+4) if the upperlimit is G and the lower limit is 3.

A: Given,             The integral of 2x/(2x2+4) dx if the upper limit is 9 and the lower limit is 3.

Q: 3. Graph the polar equation and find the area of the region. Outside r = 1 but inside r = 2 sin 20

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Q: 2) Consider the function g defined by (7X/g)+ glx, y) = COS logs (x-y) la) determine дудх

A: To find out the partial derivative.

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A: Given query is to find the inverse of the function.

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A: Here, the given function is: f(x,y)=1;   (x,y)=(1,-1)x2+yx+y; (x,y)≠(1,-1) lim(x,y)→(1,-1)

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Q: 25. y x', y = 2- x|

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Q: Rewrite in exponential form. ln(d) = n

A: Given expression is                    lnd =n we have to write in exponential form. ln denotes…

Q: fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.   ​f(x,y)=5x2y2+2x7+3y

A: Partial derivative

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Q: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

A: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

A: Given problem:-

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Q: The function (8 , 0 5 has the following Laplace transform, L(f(t)) = 8 f° e-st dt Select one: O True…

A: We have to find the Laplace transform of the given function.