The velocity function (in meters per second) for a particle moving along a line is given by v(t) = -4(t – 2t - 8), 1

Q: Evaluate 3 | ((2 – 1)32, (3 + t)2, 1)dx. 3/2 3/2 -3

A:

Q: find the first and second derivatives

A:

Q: dx xーメ

A: Explanation: Given that,  ∫x4+1x3-xdx Now we will perform long division and we will get…

Q: M/2 z/w = /w W%3D

A:

Q: 1 dx х x³Vx²

A: We have to integrate  ∫22 1x3x2-1 dx.

Q: 3x-9 dx gi S Vx3-9x-3

A:

Q: find dy/dx y=

A:

Q: S. 9 V1-x

A: An integral function is given

Q: 1/a 47. V = 1 dx %3D 6

A:

Q: find dy du

A:

Q: Analytically consider the variation of rainfall around a typical rain gauge that registered 2.0 mm…

A:

Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: Evaluate I = / a*. g³ Vx² – 3 dx

A:

Q: The velocity (in m/s) of an object moving in a straight line by the function of time t (in seconds)…

A: Topic:- application of integration

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: Differentiate.

A: Given function - f(t) = 2t2+tf(t) = 2t2+t12Differentiating on both sides with respect to t - ddtf(t)…

Q: 1/2 (5x+ 3x"-7)ck

A: Solution