3 years ago

HELP ME PLEASE ASAP PLZ

Mathematics

1 answer:

mixer [17]3 years ago

3 0

Answer:

Step-by-step explanation:

plz Brainliest i need it

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The radius of a circle is 42 inches. What is the circle's area?<br> Use 3.14 for .

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Answer:

A =5538.96 in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the radius is 42 and pi is approximated by 3.14

A = 3.14 * 42^2

A =5538.96 in^2

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2 years ago

If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

brainly.com/question/27958412

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2 years ago