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3 years ago

What are all solutions to the differential equation dy/dx=sec^2*x ?

Mathematics

1 answer:

zysi [14]3 years ago

4 0

Answer:

y=tanx+C

Step-by-step explanation:

$\frac{dy}{dx} = {sec}^{2} \: x \\ \\ dy = {sec}^{2} \: x \: dx \\ integrating \: both \: sides \\ \\ \int \:1\: dy = \int {sec}^{2} \: x \: dx \\ \\ \huge \red{ \boxed{ \therefore \: y = tan \: x + c}} \\$

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Which pair of points have a slope of -3/5?

Allushta [10]

Answer:

No of these answers has a slope of $\frac{-3}{5}$ . My guess is B becasue its close to $\frac{-3}{5}$ unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

( $x_{1}$ , $y_{1}$ ), ( $x_{2}$ , $y_{2}$ )

(4, 0), (-2, 10) $\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}$ you have to simplfy, the answer will be $\frac{5}{3}$

(10, -2), (0, 4) $\frac{4 - -2 }{0- 10 }= \frac{6}{-10}$ you have to simplfy, the answer will be $\frac{3}{-5}$

(4, 2), (10, 4) $\frac{4 - 2 }{10 - 4 }= \frac{2}{6}$ you have to simplfy, the answer will be $\frac{1}{3}$

(-4, -10),(0, -2) $\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}$ you have to simplfy, the answer will be $\frac{2}{1} =2$

5 0

2 years ago

Why do you think people who are good at math are usually successful on their jobs?

Sergeu [11.5K]

Hi! a lot of jobs require math in the real world. for instance, a architect has to get all the math correct on a building, otherwise one wrong measurement and it could fall. a lot of jobs involve math.

hope this helps!:)

6 0

2 years ago

Simplify the following expression 4w x 3w x 2y x 2y

Anestetic [448]

Answer:

48w^2y^2

I used a simplify calculator I hope this is correct.

4 0

3 years ago

Read 2 more answers

A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o

uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

4 0

3 years ago

What is the solution set of |- x| = - 10?

Vaselesa [24]

Answer:

No Solution

Step-by-step explanation:

|-x| always = | x |

| x | = - 10

If x = 10, It does not equal to - 10

If x = -10, It becomes 10 because its an absolute value, So it does not equal to -10

So, there is No Solution

7 0

2 years ago