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3 years ago

What is the point-slope form for the line passing through (3, -6) and (-1, 2)

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

y-2 = -2(x+1)

Step-by-step explanation:

Find the slope(m) first using the two points (3, -6) and (-1, 2).

Slope: -2

Next, plug in x₁ and y₁. I plugged in (-1, 2)

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Integration of ∫(cos3x+3sinx)dx

Murljashka [212]

Answer:

$\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}$

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

$\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx$

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
Now , Rewrite using du and u .

$\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}$

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3 years ago

What was McClellan’s mistake at the beginning of the Civil War?

Zolol [24]

Answer:

Step-by-step explanation:

Frustrated that McClellan had again failed to destroy Lee's army

5 0

3 years ago

Read 2 more answers

Give 3 pairs of prime numbers that add up to 50

aleksley [76]

Answer:

3 and 47

7 and 43

19 and 31

Step-by-step explanation:

Prime numbers up to 50:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Therefore,

3 + 47 = 50

7 + 43 = 50

19 + 31 = 50

7 0

3 years ago

Answer QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Vaselesa [24]

Answer:

half of a number is 15

Step-by-step explanation:

An equation must contain an equality sign.

The third option is the only phrase that can be represented as an equation: $\frac{x}{2}=15$

8 0

3 years ago

Number 13 explain......

Marat540 [252]

The slope is 2 and the equation of the line is y = mx+b with m =2

Then the equation becomes: y = 2x+b. How to calculate b?
Since this line passes through the point (-3 , 4), we replace x with -3 and y=4

4= 2.(-3) + b
4 = - 6 + b
and b= 10. The final equation is : y = 2x + 10 (answer a)

3 0

3 years ago