Let r(t) = < 2t4 +5,- e-5t, - 4 sin(5t) > Find 7' (t) 7' (t) =<

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A: Here we have to find the absolute maximum and absolute minimum.

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A: To find the general solution to the given differential equation.y3-3y+29+x2 dx+x2 dy=0

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A: Given: yx2-9=1

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A: To determine the length of the parametric curve given by x=sin3 t, y=cos3 t, 0≤t≤π2.

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A: This is a problem related to maxima and minima of the function. please follow the procedure given…

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A: Given :fx=xx2+15

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A: The correct solution is given below

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A: Given :fx=x6,x≤1x6,x&gt;1to check differentiable at x=1

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A: We have to find all critical points and relative maximum and minimum points.

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Q: 5Q Determine if the given vectors are orthogonal, parallel or 1 i. a=, b= ii. a=, b=> iii. a=i+2j…

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Q: Question 11 For the function f(x) = 2²-25 find the following a. the x and y intercept b. the…

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A: Given fx(x, y) = 2x fy(x, y) = y2 f(10, 20) = 1,000,000 We have to estimate f(12, 19).

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A: Given, 2x=(3y+x)dydxdydx=2x3y+xPut y=vxDifferentiate…

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Q: Moving to another question will save this response. Question 3 Choose the correct answer. (a) The…

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Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: Tutorial Exercise Find a formula for the inverse of the function. 5x - 1 2x + 6 f(x) =

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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A: Given   Height of Mount Everest =  29029 foot

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