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2 years ago

Find three consecutive even integers whose sum is 180

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

3 0

100, 60 and 20 Firstly they're all even and the sum of all there numbers added together does equal 180.

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3 years ago

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2 years ago

Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)

borishaifa [10]

Answer:

Since,

$\frac{d}{dx}x^n = nx^{n-1}$

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Differentiating with respect to x,

$\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)$

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Differentiating w. r. t x,

$\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)$

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Differentiating w. r. t. x,

$\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}$

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Differentiating w. r. t. t,

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Differentiating w. r. t. p,

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Differentiating w. r. t. t,

$\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})$

7) $w =\frac{2y + y^2}{7+y}$

Differentiating w. r. t. y,

$\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}$

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3 years ago

Find the first and second derivatives of the function y = sin(x^2)

exis [7]

Y = sin(x^2)

Use the chain rule.

We want dy/dx.

dy/dx = cos(x^2)*2x

dy/dx = 2xcos(x^2)

Did you follow?

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2 years ago

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Liula [17]

Answer:

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Step-by-step explanation:

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2 years ago