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3 years ago

How do you do the slope intercept form to P(3,5);y=4

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Find the slope of the original line, and use the slope-intercept from y= mx+b to find the line parallel to y = 4.
y = 0 + 5

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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

3 years ago

Perry is buying an I phone that is a sale for 40% off the original price.after he uses a $25 gift card.the total cost before tax

marta [7]

Answer:

$599

Step-by-step explanation:

Given: Discount- 40% off on original price.

Gift card= $25

Total cost before taxes is $334.40

Lets assume the original price be "x".

We know there is 40% on original price and Perry uses $25 gift card.

Remember; Total cost= $Original\ price- discount- gift\ card$

Now, finding the original price of Iphone.

⇒ $x-0.40x-25= 334.40$

⇒ $0.60x-25= 334.40$

Adding both side by 25

⇒ $0.60x= 334.40+25$

⇒ $0.60x= 359.4$

Dividing both side by 0.60

⇒ $x= \frac{359.4}{0.60}$

∴ $x= 599$

Hence, the original price of iphone is $599

5 0

3 years ago

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selectin

AysviL [449]

You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.

That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.

That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1

(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520

Answer: 77,520

8 0

3 years ago

Read 2 more answers

PLEASE HELP MEEE

STALIN [3.7K]

If there are 16 ounces in a pound, and 8 ounces costs $8, The best answer would be D. $16 per pound

4 0

4 years ago

100 200 300 400 500 600 700 Quantity Supplied nstructions: Refer to the graph and answer the questions below

mash [69]

Answer:

a. 400

b. 4$

Step-by-step explanation:

2$ equals 0 Quantity

3$ equals 100 Quantity

4$ equals 200 Quantity

We can see that starting from 2$, a dollar will increase the Quantity by 100

7 0

2 years ago