A1. SOLVE STEP BY STEP IN DIGITAL FORMAT Using the following function and the given intervals substitute to determine the rate of change. ▲y _ ƒ(x₂) − ƒ(x₂) At X₂ -X₁ f(x) = 4x² - 6; a)[3,6]

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A: In this question we have to solve the given Integral.∫012x+53x2+18x+130dx

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A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: 2. Find the MacLaurin polynomial of degree 16 for the function F(x)= So sin (6xt²) dt.

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A: Please see the below picture for detailed solution.

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A: Given: Let us take x = t. So, we get y=t4  and  z=2t2+t42=2t2+t8.

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A: Answer is 40.

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Q: JENCES AND SERIES: onvergent or divergent and, if convergen 23 an 20 ,n=1,2,3,...

A: The answer is given below:

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Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

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A: Solve the exact differential equation  1+y2+xy2dx+x2y+y+2xydy=0

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