3 years ago

Need help really fast please!!

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

The first bullet is correct.

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If<br> DX/DT= 2cm/s <br> x=-1 <br> y=x^2+1<br> DY/DT=??

kobusy [5.1K]

Answer:

$\frac{dy}{dt}$ = - 4 cm/s

Step-by-step explanation:

Let us revise the chain rule

If $\frac{dy}{dt}$ = a and $\frac{dx}{dt}$ = b, then

$\frac{dy}{dx}$ = $\frac{dy}{dt}$ ÷ $\frac{dx}{dt}$ = $\frac{a}{b}$

∵ y = x² + 1

- Use the differentiation to find $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2x

∵ x = -1

- Substitute x by -1 in $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2(-1)

∴ $\frac{dy}{dx}$ = -2

∵ $\frac{dy}{dt}$ = $\frac{dy}{dx}$ × $\frac{dx}{dt}$

∵ $\frac{dx}{dt}$ = 2 cm/s

∴ $\frac{dy}{dt}$ = (-2) × (2)

∴ $\frac{dy}{dt}$ = - 4 cm/s

8 0

3 years ago

The appropriate translation of the phrase 11 more than 20 percent of a number is it true or false

Eva8 [605]

Answer:

Step-by-step explanation:

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3 years ago

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Helppppppppppppppppppppp

Ira Lisetskai [31]

Answer:

see below

Step-by-step explanation:

Use the distributive property:

(y^2 +3y +7)(8y^2 +y +1)

= y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)

= 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7

= 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7

= 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice

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3 years ago

Which power can you write to represent the area of the square shown? Write the power of the expression with the base of the expo

zavuch27 [327]

A = x^2, x=8.5, A = 8.5^2= 72.25mm^2

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3 years ago

In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be

Schach [20]

This is a case of empirical (observed) probability. Historically speaking, 8 out of 960 calculators were found to be defective.

Thus P(defective calculator) = 8/960, or 0.008333 ...

As a percent, this is 0.8%.

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3 years ago

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