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3 years ago

(-4)^2 (-3)^3 Evaluate

Mathematics

2 answers:

iris [78.8K]3 years ago

7 0

(-4)^2= 16

(-3)^3= -27

victus00 [196]3 years ago

6 0

Answer:

$( - 4)^{2} = 16 \\ ({ - 3})^{3} = - 27$

hope this helps

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Find the volume of the following solid. The solid between the cylinder f(x,y)equals=e Superscript negative xe−x and the region

PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy$

Now evaluate,

$\int_{0}^{ln(6)}e^{-x}dx$

which evaluates to, 5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

$\int_{-6}^{6}\frac{5}{6}dy = 10$

So,

$\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10$

7 0

3 years ago

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

Sergeu [11.5K]

Answer:

129 and 51 degrees.

Step-by-step explanation:

Drawing a diagonal gives us a triangle with the opposite side = 12.4 and the adjacent side = 26.

tan x = 12.4 / 26

x = 25.497 degrees.

The other angle will be 90 - 25.497

= 64.503 degrees.

One of the diagonal angles is 180 - (2*25.497)

= 129 degrees

and the other is 180 - 129 = 51 degrees.

8 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!

Marina CMI [18]

Answer:

Step-by-step explanation:

area of a cylinder = (area of a circle) times the (height)

area of a cylinder = π radius² × height

radius = 57 cm height = 40 cm

area of a cylinder = π 57² cm² × 40 cm

= π (57² × 40) cm³

= π ( 57 × 57 × 40) cm³ 57x57 = 399 + 2850 = 3249

= π (3249 × 40) cm³

= 129969π cm³ π = 3.14

= 129969 × 3.14 cm³

= 408,074.4 cm³ < ----------------- Final Answer

3 0

2 years ago

Please helps

lisabon 2012 [21]

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

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3 years ago

Complete the square: x2 - 6x + Blank = -13 + Blank

kirza4 [7]

Answer:

x^2 - 6x + 9 = (x-3)^2

Step-by-step explanation:

4 0

2 years ago