use the chain rule to the derivite of 4(-2x^6 - 3x^4) ^17

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A: f(x,y,z)=x4y4+z and x=s3t,y=st2, and z=st. Using the power ruleddxxn=nxn−1

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Q: 2. The population of Mathville is modelled by the function P(t) = −2+3+ 54t2-40t+ 21000 where t…

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A: −1Explanation:If you have any questions please let me know in comment box thankyou.

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A: Please find the attached file for details....Thank you...Explanation:

Q: 5 If f f(x) dx false true 5 −3 and ƒ g(x) dx = 2, then [5f(x) - g(x)] dx = ƒ[5ƒ(x) 1 † 9(a) da = =…

A: We have given that ;.;

Q: f(t) = 2t2⁄3 + t5⁄3. Find the interval(s) where  f(t)  is increasing and Find the interval(s) where…

A: interval of increase (-inf, -4/5)U(0, inf)interval of decrease (-4/5 , 0)Explanation:hope it helps…

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Q: #3: Solve the initial value problem y"-4y - 12y = 0, y(0) = 1, y'(0) = -1

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Q: 8. Use the Product Rule to find the derivative of f   f(x)=cot(x)sec(x)

A: Use the Product Rule to find the derivative of the following function.

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A: The given vectors .The objective is to find the vector that is perpendicular to both  and .

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A: we use the method of substitution to evaluate the given integral.

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A: Horizontal displacement at D is 6.667mmExplanation:Step 1:Step 2:3)

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A: The radius of a circle is increased from 3.00 to 3.02m.

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Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: The function has 4 critical points. List them and select the type of critical point. Points should…

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Q: (5.) Let u(x, y) = ln(x² + y²) (a. (b. C State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: Let f(x, y, z) = x^2 + y^3 + z^5 and let u =. Find the directional derivative Du f(x, y, z).

A: The directional derivative Du​f(x,y,z) is 64/81​.Explanation:Step 1: To find the directional…

Q: 6. Solve the logarithmic equation. Show your work. log₂ (x-3) + log₂x - log₂ (x+2) = 2

A: Note :- According to our guidelines I answer the first question. Kindly repost the other one…

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Q: 3 2 4. Consider the curve with equation y = -x³-½ x² + 2x Circle all the points on the curve where a…

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