1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NISA [10]
4 years ago
7

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
1 year ago
Given that cos θ = –12∕13 and θ is in quadrant III, find csc θ.
Trava [24]

Answer:

A

Step-by-step explanation:

We are given:

\displaystyle \cos(\theta)=-\frac{12}{13},\,\theta\in\text{QIII}

Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):

o=\sqrt{13^2-12^2}=\sqrt{25}=5

So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.

And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.

Cosecant is given by the hypotenuse over the opposite side. Thus:

\displaystyle \csc(\theta)=\frac{13}{5}

Since θ is in QIII, cosecant must be negative:

\displaystyle \csc(\theta)=-\frac{13}{5}

Our answer is A.

7 0
3 years ago
Read 2 more answers
11. Find the measure of each missing angle<br> &amp; 13 please
GREYUIT [131]

Answer:

1. 35

2. 145

3. 55

4. 125

5. 55

13. x= 19

Step-by-step explanation:

6 0
3 years ago
At the fast pack shiping. The employees can unload 25 trucks in 5 hours which of the following is a correct unit rate for this s
Natasha2012 [34]

Answer:

5 trucks per hour

Step-by-step explanation:

25 trucks ÷ 5

5 hours ÷ 5

= 5 trucks per hour

3 0
3 years ago
Other questions:
  • Two coins are tossed simultaneously. Find the probability of getting
    5·1 answer
  • Mr.Chang had 30 boxes each box has 10 erasers If he gave each student has 2 erasers how many students could he give erasers to
    13·1 answer
  • Answer need as soon as possible
    15·1 answer
  • 2.394inches per minute about how many inches will it travel in 7.489minutes.
    12·2 answers
  • A rectangular piece of​ cardboard, whose area is 374 square​ centimeters, is made into an open box by cutting a 2​-centimeter sq
    15·1 answer
  • A pair of equations is shown below: y = 6x + 9 y = 7x + 7 What is the solution to the pair of equations?
    7·1 answer
  • Which expression represents the largest number?
    13·1 answer
  • The difference of the two numbers is 1.Their sum is 23.find the numbers
    10·1 answer
  • I need help with constat rate of change please​
    8·1 answer
  • The temperature dropped from 75 degrees to 50 degrees. What was the percent decrease in the temperature?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!