Let s(t) = t - 4t2 + 15t, represent the position of a body at any time t. Then the acceleration of the body at t = 5 seconds is %3D %3D O 22 O -10 O -22

Q: Find the linear approximation at x = 0 to Write your answer in the form y = Ax + BỊ.

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Q: Approximate (26)"3 by using a linear approximation.

A: (26)1/3 y= f(x) = (x)1/3 When  x=27, f(x) = 3   x + Δ x = 26 Δx = -1;   f(x+Δx) = ?

Q: x -Jx-15 = 3 Salvethe equation

A: We have to solve the equation                                              x-x-15=3

Q: Step 4 Finally, determine(-3x + 7) and (x + 7) and simplify the result. dx dx 1. du 1 dv + U dx V dx…

A: formulas we use: ddxf+g=dfdx+dgdxddxkx=k; k is a constant.dkdx=0; k is constant.ddx(x)=1.

Q: 9t2 dz dt +61 - 2 = 0. A Check Answer

A: The given differential equation is Lets solve it using integrating fractor.

Q: Determine the orthogonal trajectories y-3x+1=ce 3x

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Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

A: As per the guidelines we experts are allowed to solve only three sub parts of a problem. kindly…

Q: 2 (d) T (x) = Væ + 9Væ7

A: T(x)=x+9x73-2x25Formulaamn=amn1at=a-tddxx=n xn-1

Q: (2t+1)(2t-1) dt. 4. S

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Q: A study found that a person's status in a community depends on the person's income and education…

A: The given data is: Sx,y=5x13y12 (a) Find Sx27, 4

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

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Q: S tan-1 е' 1+4t² 2t dt

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Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: A third student keeps buying chocolate bars until he finds 5 prize vouchers. Let W be the numbers of…

A: The Expected number of prizes is 5 Let W be the number of bars bought before getting the 5 prizes So…

Q: Q3- Find the (i + 2t)²dt.

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Q: d) S t3 – 2t2 – 1 dt t2

A: (d) We need to evaluate the following integral ∫13t3-2t2-1t2dt

Q: Ho Find (yor dy d'y ) and (y or -) for the following functions: dx dx L 2. y= x² (x-1)² 5. y=(x²…

A: We need to find the first order and 2nd order derivatives of the given functions.

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Q: The change of the energy efficiency function ( P ) of a factory with respect to uj and u2

A: In this question, we have to find the maximum value for the two-variable function. Here we use the…

Q: (t+6)2 dt

A: Given,

Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

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Q: NASA launches a rocket at t=0t=0 seconds. Its height, in meters above sea-level, as a function of…

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Q: Find the BxA where A=3j-i-2K and B= 5i+-3K

A: