If f(x, y) = 25 - 4x² - y³, find f×(4, -6) and fy(4, -6) and interpret these numbers as slopes. fx(4, -6) = fy(4, -6) =

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A: To evaluate the following integral.

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Q: Please show me the steps to solve this question. It is a part of vector calculus.

A: Value of the integral is 9/16Explanation:

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A: Question No. (10): To write the integral needed to find volume of the solid formed when the graph of…

Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

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A: Explanation is given below:Explanation:Given equation: 5y−x2=20 Rewrite it in the standard form of a…

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A: The figure

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Q: Find the arc length of the graph of the function over the indicated interval. y = = 3231(x² + 1) ³/2…

A: Arc length = 21 unitsExplanation: Given function, y=32​(x2+1)23​ Then, dxdy​=(32​(x2+1)23​)dxd​…

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A: F(r,s,t)=r(6s4+2t2)Using the power ruleddxxn=nxn−1

Q: find an equation of the tangent to the curve at the given point. x = 6 + t²t, y = t² + 5, (6, 6)

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Q: 3. Find f'(x) if f(x) differentiation) === 023 * xsin(x)

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A: From the given graph

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Q: What is the slope of the normal to y = X-2 X+2 *+ at (2, 0)? -4 4

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A: .

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A: f′′′(x)=8b3e2bxf′′′(0)=8b3   Explanation:

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A: We need to use chain rule to find derivative.

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A: The given function is To find

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A: Explanation of the answer is as follows

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A: Given a function,f(x)=7x3To find: The area under the curve on the interval [2,6]

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Q: what does f'(m) = ?

A: We need to provide meaning of f'(m).

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Q: CALCULATOR REQUIRED x g(x) 0 2 1 -3 2 5 3 4 Selected values of the twice-differentiable function g…

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Q: y=f(x)=75(1-4/5) , x=5 ;delta x =0.25 ; find delta y

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Q: Given f(x)= -5^(2x) -6 , determine • the equation of g(x) given that g(-x) = f(2x) • the range • the…

A: Given:  To Find: To determine the equation of .The range of .The x-intercept (if any) of .The…