Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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A: topic  -  derivative of exponential function

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Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

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Q: solve the equation over the interval [0,2\pi ) ). (5sin(2x) 5cos(2x))^2=25 x=__________

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

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Q: By applying integration by parts, we have Jx° In x dx = x10 In x +10 + C 10 100

A: given :   integration by parts 

Q: Factor out the GCF in the following expressions. 1. 2x - 8 6. Зx? - 9х 7. 5x + 3x 8. 12x - 8

A: according to our guidelines we can answer only three subparts and rest can be reposted

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Q: solve 33,37&41

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A: In this question we have to find the value of x and y.

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A: The objective of the question is choose the correct option.

Q: Consider the following functlon. f(x) = 4x arctan x (a) Find the critical numbers of f. (Enter your ...

A: Given : f(x) = 4x arctan x So, f'(x) = 4 [ x arctan x ]' Apply Product Rule : [u(x).v(x)]' = u(x).v'...

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Q: Find the first partial derivatives of the function. f(x, y, z, t) = 7xyz9 tan(yt) fx(x, y, z, t) = f...

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Q: Find f (x) so that when u = f(x) the integral J tan(f(x) 1+ In x dx can be rewritten as cot u du. %3...

A: ∫1+ln(x)tan(f(x))dxlet u=f(x)=xln(x)⇒u=xln(x)differentiate on both sidesdu=(1+ln(x))dx

Q: II Simplify the following: 1. (ĀNBNČ) U (Ā nBN C)U (ĀNBNČ)U (ĀNB N C) U (A OBNČ)U (ANBN C) a. ĀU B b...

A: Distributive Property: (i) A∩BUC=A∩B∪A∩C(ii) A∪B∩C=A∪B∩A∪C Identity Law: (i) A∪A¯=U(ii)A∩U=A(iii)A¯∩...

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Q: Consider the following function. (x) = 3x3 + 9x2 – 27x (a) Find the critical numbers of f. (Enter yo...

A: Consider the function f(x)=3x3+9x2-27x, then we have to answer the following... Solution (a): To fin...

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Q: express the equation in logarithmic form  a) 9^-1=1/9 b) 3^-2=1/9 c) e^x=8 d) e^5=y

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Q: A differentiable function f has one critical number at x = 8. Identify the relative extrema of fat t...

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Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

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Q: Alcohol-Related Traffic Accidents As a consequence of increasingly rigid rules aimed at decreasing ...

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