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3 years ago

Need help 8387.02 + 744.8

Mathematics

2 answers:

vivado [14]3 years ago

5 0

The answer would be 9131.82

True [87]3 years ago

3 0

9131.82 is the answer to the question

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Nady [450]

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4 years ago

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kifflom [539]

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3 years ago

Use logarithmic differentiation to find the derivative of the function. y = sqrt(x)e^x^2(x^2 + 5)^12

padilas [110]

$y=\sqrt x\,e^{x^2}(x^2+5)^{12}=x^{1/2}e^{x^2}(x^2+5)^{1/2}$

Take the logarithm of both sides and expand the right hand side:

$\ln y=\ln\left(x^{1/2}e^{x^2}(x^2+5)^{1/2}\right)$

$\ln y=\ln x^{1/2}+\ln e^{x^2}+\ln(x^2+5)^{12}$

$\ln y=\dfrac12\ln x+x^2\ln e+12\ln(x^2+5)$

$\ln y=\dfrac12\ln x+x^2+12\ln(x^2+5)$

Now take the derivative of both sides with respect to $x$ :

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}$

$\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)y$

$\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)\sqrt x\,e^{x^2}(x^2+5)^{12}$

I'd stop there, but you could condense the right side a bit to get

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2x(x^2+5)}\sqrt x\,e^{x^2}(x^2+5)^{12}$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2\sqrt x}e^{x^2}(x^2+5)^{11}$

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4 years ago

X B. A с D which points are coplanar and noncollinear ?

PolarNik [594]

Answer:

step by step

Step-by-step explanation:

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3 years ago

Evaluate the determinant for the following matrix: [- 5 1 1 4] A. –21 B. 19 C. –17 D. –24

mariarad [96]

Answer:

-21

Step-by-step explanation:

I assume this is a 2 by 2 matrix.

$\begin{bmatrix} -5 & 1\\1 & 4 \end{bmatrix}$

determinant = -5 * 4 - 1 * 1 = -20 - 1 = -21

6 0

3 years ago

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