The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

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Q: #8) Find the derivative of the function. y = sech(6x²)

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Q: Suppose that f(x, y) = 4x² + 4y¹ − xy

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Q: y" + y = 2, y(0) = 4, y' (0) = 3 (A) y = 2 sint + 3 cos

A: given y'' + y = 2 D2y + y = 2(D2 + 1 ) = 2 for complementary solution D2 + 1 =0D = ±iD = 0…

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Q: Prove the identity. tan(x) = sin(2x) 1 + cos(2x) = = = sin(2x) 1 + cos(2x) 2 sin(x). 20 1 + (2…

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Q: Answer the following questions for the function f(x)=x√x2+1 defined on the interval −5≤x≤7.…

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Q: Find ay dt + = -1 (+-√e ³ sin ¹ (2+) 1(5+2log +) 9

A: We will use the formula ddtmn=nm'-mn'n2

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Q: How to determine if it is continuous, without using a graph?

A: Given function:- fg=2g2-gif g≤0tangif g>0

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Q: Use substitute method to solve the two system ec -= x - 4y (1) dx #1: dt dy -= x+y (2) dt

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Q: . Find a particular solution Y(t) of y" — 2y" — y' + 2y = e²t

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Q: 2. you reached your conclusion. If the series converges, find what it converges to. (2) Σ4.5-4 k=2…

A: Please see the below picture for detailed solution.

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Q: By about how much will f(x,y,z) = In√x² + y² +2² change if the point P(x,y,z) moves from P(6.5.15) a…

A: NOTE: Refresh your page if you can't see any equations. . the given direction vector is find its…

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A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: Based on the graph of the function y = (2,4) -2 (A) f f (x) dx = (B) f f(x) dx = (C) f₁ f (x) dx 3…

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Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

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Q: Use any method to evaluate the integral. S 243 dw w²√√81-w² 243 dw w²√√81-w² W (Type an exact…

A: Given data:- ∫243w281-w2 dw

Q: 191-21-A 20 VV 10 -2 -4

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Q: 3. Let f(x, y) = cos(ex) + 4xy + 4y + 5 and P = (-1,3). a. b. C. Find the rate of change of f at P…

A: Concept: A vector field represents a function's gradient. It is produced by taking the scalar…