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2 years ago

What is the sum of 1-2 and V-18? † O42 O 421 O 52 05/21

Mathematics

1 answer:

frutty [35]2 years ago

3 0

Answer:

B) 421

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

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Find dy du , du dx , and dy dx .

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Answer:

a) $\frac{dy}{du}=5(x^2 +1)^4$ , $\frac{du}{dx}=2x$ , $\frac{dy}{dx}=10x(x^2+1)^4$

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Step-by-step explanation:

We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}$ .

a) $\frac{dy}{du}=\frac{d}{du} (u^5)=5u^4=5(x^2 +1)^4$ from the power rule.

$\frac{du}{dx}=\frac{d}{dx} (x^2 +1)=2x$ .

From the previous parts and the chain rule, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=5(x^2 +1)^4(2x)=10x(x^2+1)^4$

b) $\frac{dy}{du}=\frac{d}{du} (u^4)=4u^3=4(4x^2-x+6)^3$

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Then, $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=4(4x^2 -x+6)^3(8x-1)=4(8x-1)(4x^2-x+6)^3$

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3 years ago

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Answer:

Let the number of hours traveled by train be "x".

The x = the number of hours traveled by plane.

-------------------------------------------------

Equation:

train distance + plane distance = 1300 miles

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x = 4 hours

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The trip took 8 hrs.

Step-by-step explanation:

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