2 years ago

Is 3x+5 congruent to 5x-1

Mathematics

1 answer:

Licemer1 [7]2 years ago

7 0

Yes it is congruent to5x-1

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Tính tích phân sau bằng cách dùng tọa độ cực I=∫∫ <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7Bx%5E%7B2%7D%20%2B

xenn [34]

It sounds like R is the region (in polar coordinates)

R = {(r, θ) : 2 ≤ r ≤ 3 and 0 ≤ θ ≤ π/2}

Then the integral is

$\displaystyle \iint_R\frac{\mathrm dx\,\mathrm dy}{\sqrt{x^2+y^2}} = \int_0^{\pi/2}\int_2^3 \frac{r\,\mathrm dr\,\mathrm d\theta}{\sqrt{r^2}} \\\\ = \int_0^{\pi/2}\int_2^3 \mathrm dr\,\mathrm d\theta \\\\ = \frac\pi2\int_2^3 \mathrm dr \\\\ = \frac\pi2r\bigg|_2^3 = \frac\pi2 (3-2) = \boxed{\frac\pi2}$

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2 years ago

E^2x -2e^x -8=0 <img src="https://tex.z-dn.net/?f=%20%7Be%7D%5E%7B2x%7D%20-%20%20%7B2e%7D%5E%7Bx%7D%20-%208%20%3D%200" id="Te

vovikov84 [41]

E^2x -2e^x -8=0 => e^(2x) -2e^x -8=0

Temporarily replace e^x with y.

Then (y)^2 - 2y - 8 = 0. Factors are (y-4) and (y+2).

Roots are y = 4 and y= -2.

Now remembering that we temporarily replaced e^x with y, we let
y=4 = e^x. We need to solve for x. Taking the natural log of both sides, we get:

ln 4 = x (answer)

We have to discard the other root (y= -2), because we cannot take the ln of a negative number.

8 0

3 years ago

How many solutions does this graph have?

OlgaM077 [116]

Answer:10

Step-by-step explanation:

4 0

3 years ago

A petting zoo has 5 lambs, 11 rabbits, 4 goats, and 4 piglets. Find the ratio of goats to the total

Cloud [144]

1:6 in simplest form.. there is 24 animals in total and there is 4 goats so the ratio would be 4:24 and then you divide 4 and 24 by 4 and get 1:6

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