Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1) =

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A: Given: - The function is, y=16(x+4)2, at the point 0,1 To find: - The slope of the graph of the give...

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: True, Differentiability implies continuity.

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A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other...

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A: We can solve question no 2 as below.

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A: A detailed solution is given in steps 2 and 3.

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A: Limits and functions

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A: Given; y=6Sin(3πx).

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A: see below the answer Intermediate value theorem:-  If a function f is continuous on the interval [a,...

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Q: Never properly learned how to do this

A: The objective is to find h'(7).

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A: Graph

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A: First we find out g o h then f o h. Follow 2nd step.

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A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

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A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer Find the 4...

A: y=6x5+3x4-2x3+5x2-8x+9Differentiate w.r.t.xdydx=6.5.x4+3.4.x3-2.3.x2+5.2.x1-8+0         ddx(xn)=n.xn...

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Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

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Q: BLUE COURSE ABCD is a quadrilateral such that AB-15 cm, BC-3 dm, CD=48 mm and DA=0.02 m. Express the...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....