Let y=f(x) be a twice-differentiable function such that f(1)=3 and dydx=4y2+7x2−−−−−−−√. What is the value of d2ydx2 at x=1 ?.

Answers

Answer 1

Answer:

55

Explanation:

Find the derivative of [tex]\frac{dy}{dx}[/tex] to get [tex]\frac{d^2y}{dx^2}[/tex] .

4[tex]\sqrt{y^2+7x^2}[/tex] = 4([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^1/2

[tex]\frac{d^2y}{dx^2}[/tex] = 4(1/2)([tex]y^{2}[/tex]+7[tex]x^{2}[/tex])^-1/2 * (2y[tex]\frac{dy}{dx}[/tex] +14x)

Plug in x=1 and y=3.

2(9+7)^-1/2 * (6[tex]\frac{dy}{dx}[/tex] +14)

2(1/4) * (6[tex]\frac{dy}{dx}[/tex] +14)

(1/2) (6[tex]\frac{dy}{dx}[/tex] +14)

3[tex]\frac{dy}{dx}[/tex] +7

Plug in [tex]\frac{dy}{dx}[/tex].

3(4[tex]\sqrt{y^2+7x^2}[/tex] ) +7

Plug in x=1 and y=3.

3(4[tex]\sqrt{9+7}[/tex] ) +7

3(4[tex]\sqrt{16}[/tex] ) +7

3(4*4)+7

3(16)+7

48+7

55


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Answer:

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The book value of the bond liability is $409811

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Your welcome!

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bài bánh trôi nước được viết theo phương thức biểu đạt nào? Nếu thể thơ của bài thơ giải

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An F Vector Force

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Answer:

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Explanation:

Important Information:

4 t-shirts and a hat costs £31.00

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Explanation/Solution:

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(i searched it. pls mark me brainliest)

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Answer:

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Answer:

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