3 years ago

Y=x^2-2x-5;y=x^3-2x^2-5x-9

Mathematics

1 answer:

ehidna [41]3 years ago

8 0

Are the directions asking you to solve these ?

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How do you do this question?

mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

$\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}$

Graph: desmos.com/calculator/mezlen9hb4

3 0

3 years ago

Is P 90 degrees from the origin, Q 180 degrees from the origin, and R 270 degrees from the origin?

krek1111 [17]

Answer:

Step-by-step explanation:

(x,y)→(-x,-y) (180° about the origin)

1.p(-3,2) ,in the second quadrant

P(-2,-3) is in 4th quadrant.

in the clockwise it is rotation of 270° about the origin.

Q(-4,-5) is in 4th quadrant.

Q(4,5) is in 1st quadrant.

so it is 180° rotation in the clockwise direction.

R(1,7) is in 1st quadrant.

R(7,-1) is in 4th quadrant.

Hence it is 90° rotation about the origin in clockwise direction.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%2081" id="TexFormula1" title=" {x}^{2} + 81" alt=" {x}^{2} + 8

borishaifa [10]

X to the power of two+81

5 0

3 years ago

Complete the following statements using m(x) = x² and n(x) = x – 3.

Furkat [3]

Answer: x-3, 3, is not equal to

Step-by-step explanation:

8 0

3 years ago

Solve the equation 2x+3/3 - 3x/2=-4<br>Fast please

alina1380 [7]

Answer:

x = 6

Step-by-step explanation:

Assuming the equation is

$\frac{2x+3}{3}$ - $\frac{3x}{2}$ = - 4

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 3) - 9x = - 24

4x + 6 - 9x = - 24

- 5x + 6 = - 24 ( subtract 6 from both sides )

- 5x = - 30 ( divide both sides by - 5 )

x = 6

6 0

3 years ago