Calculate the volume and surface areas of the following

Mathematics

1 answer:

Maslowich4 years ago

7 0

Answer:

(VOLUME) A=24 cubic units B=98 cubic units C=36 cubic units D=64 cubic units

Step-by-step explanation:

To find Volume you multiply length, height and width.

You might be interested in

Find a power series representation for the function

Mars2501 [29]

$f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}$ is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺². This can be obtained by using power series representation of each terms, sin x, eˣ and substituting in the function.

<h3>Find the power series representation for the function:</h3>

In the question the given function is,

⇒ f(x) = x³sin(x) + e³ˣ⁺²

We know that series representation of sin x and eˣ are:

$sin x = \sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2n+1}$

$e^{x} = \sum^{\infty }_{n=0} \frac{1}{n!}x^{n}$

⇒ $e^{3x} = \sum^{\infty }_{n=0} \frac{1}{n!}x^{n}$

= $\sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}$

Substituting the series representation in the function we get,

⇒ f(x) = x³sin(x) + e³ˣ⁺²

⇒ $f(x)=x^{3}\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2n+1} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}$

$f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}$

Hence $f(x)=\sum^{\infty}_{n=0} \frac{(-1)^{n}}{(2n+1)!}x^{2(2n+2)} + e^{2} \sum^{\infty }_{n=0} \frac{1}{n!}3^{n}x^{n}$ is the power series representation for the function f(x) = x³sin(x) + e³ˣ⁺².

Learn more about power series representation here:

brainly.com/question/11606956

#SPJ1

5 0

2 years ago

Read 2 more answers

Solve for y 4/7t+2:7=6

Art [367]

Answer:

1/7

Step-by-step explanation:

4 0