All categories

3 years ago

How to differentiate this function?? x = 3( 1 + sin^2 t) Please help....

Mathematics

2 answers:

serg [7]3 years ago

8 0

Distribute the 3 over the bracket to make it easier
Hence x = 3 + 3sin^2t
==> dx/dt = 6sintcost

Andreas93 [3]3 years ago

3 0

Dx/dt = 6 sint cost

Open brackets first

You might be interested in

I need this ASAP!!<br> Please show work as well, TY SO MUCH!!

shtirl [24]

Answer:

Step-by-step explanation:

19.

a) to find thhe x- intercept we make y=0

x² +4x -5 = 0

(x+5)(x-1) =0

x+5=0 so x=- 5

x-1 =0 so x= 1

y-intercept is at (0, -5)

axis of symmetry is at

x=-b/2a =-4/2*1 = -2

x= -2

vertex is at (-2, -9) because x coordinate is on the axis of symmetry at -2 and

y= x² +4x -5= (-2) ² +4(-2) -5 = 4-8-5 = 4-13 = -9

4 0

3 years ago

Solve the system by adding or subtracting.

Vikki [24]

Is that one equation ??

8 0

3 years ago

The commute time for people in a city has an exponential distribution with an average of 0.5 hours. What is the probability that

mamaluj [8]

Answer:

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 0.5, \mu = \frac{1}{0.5} = 2$

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)$

In which

$P(X \leq 1) = 1 - e^{-2} = 0.8647$

$P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507$

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314$

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

4 0

3 years ago

What is 100 meter equal to?

LiRa [457]

Hey there

100 meters = 328.084 feet
1 meter = 3.28084 feet

The answer is 328.084 feet
You could round <span>328.084 feet to 328 feet </span>

Hope this helps

8 0

3 years ago

Read 2 more answers

Tanya drove 312 hours and used 13 tanks of gas.

laila [671]

First you would take 312 and divide it by 13. Using that answer and put it over 1. Then times the answer that you just got by twelve. Then put that in a mixed number in its simplest form.

8 0

4 years ago