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3 years ago

Rearrange the quadration equation so that it is equal to 0. Then factor the equation.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

What is the equation?

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2. Given that set M = {Even numbers between 20 and 35), find n(m)

Advocard [28]

Step-by-step explanation:

Set M = {20,22,24,26,28,30,32,34}

n(M) = no. of elements in set M

i.e.

n(M) = 8

8 0

3 years ago

Read 2 more answers

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

2 years ago

A rectangular tank with a square base, an open top, and a volume of 8 comma 7888,788 ft cubedft3 is to be constructed of sheet

Vlad [161]

Answer:

26 ft square by 13 ft high

Step-by-step explanation:

The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...

2·(8788 ft^3) = (26 ft)^3

The square bottom of the tank is 26 ft square, and its height is 13 ft.

_____

Solution using derivatives

If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...

x^2 + 4x(8788/x^2) = x^2 +35152/x

The derivative of this is zero when area is minimized:

2x -35152/x^2 = 0

x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576

x = 26

_____

As the attached graph shows, a graphing calculator can also provide the solution.

5 0

3 years ago

HELPP ASAP PLS what is m A) 120° B) 75° C) 80° D) 85°

MariettaO [177]

The straight angle ;
60 + x = 180
So x = 120

Please give me a brainliest answer

8 0

2 years ago

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Need help fast!!!!!!!!!!!!!!!

jenyasd209 [6]

k(3)=13(3)-2

k(3)= 39-2

Answer is k(3)= 37

8 0

3 years ago

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