Find the derivative of the function.
g(x)=∫5x4xu2−1u2+1 du.

Answers

Answer 1

Answer:

[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]

Step-by-step explanation:

Given that:

[tex]g(x) = \int^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ \ du[/tex]

Then: the derivative of the function is as follows:

[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2+1} \ \ \dfrac{d}{dx}(5x) -\dfrac{(4x)^2-1}{(4x)^2+1} \ \ \dfrac{d}{dx}(4x)[/tex]

[tex]g'(x) = \dfrac{5 *(25x^2-1)}{(25x^2+1)}- \dfrac{4 * (16x^2-1)}{(16x^2+1)}[/tex]


Related Questions

HELLLP!!!!!!!!!!! PLS

Answers

Answer:

3 * 4/4 = 12/4

12/4 + 1/4 = 13/4

One fraction:   13/4

Mixed number  [tex]3 \frac{1}{4}[/tex]

Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)

Answers

Answer:

Step-by-step explanation:

21:00 i believe

What is 8,541 rounded to the nearest thousand?
A) 8,500
B) 8,000
C) 8,600
D)9,000
ANSWER PLEASE

Answers

D. 9,000 hope this helps

Step-by-step explanation:

Answer:

Question What is 8,541 rounded to the nearest thousand? Answer D)9000

Your Welcome =)=}[tex]\sqrt{x} 8\\[/tex]

the place to the left of the tens place

Answers

Answer:

I think it's gonna be 100.

Step-by-step explanation:

Answer:

my bad didn't understand hundredth

Step-by-step explanation:

Round to the nearest ten thousand: 324,799 pls help I dont know how 2 right it​

Answers

Answer:

It is 300000...........

Answer:

300,000+20,000+4,000+700+90+9

Step-by-step explanation:

Your welcome!!

If angle W and angle V are supplementary angels and measure at V is 49 degrees what does measure of angle W equal?

Answers

Answer:

131

Step-by-step explanation:

supplementary angles are any two angles whode sum is 180. If v= 49 then 131 would be W. 131+49= 180

88 students for 4 classes
what is the unit rate?

Answers

Answer:

22

Step-by-step explanation:

Answer:

22/1

Step-by-step explanation:

4.5 = m +2.75
what is the answer?

Answers

Answer:

m=1.75

Step-by-step explanation:

4.5 = m+2.75Subtract 2.75 on both sides of the equationm = 1.75

Is 8/7 a rational number

Answers

Yes.

8/7 (1 1/7) is rational.

Is 2 thirds times 5 greater than or less than 5

Answers

Less than 5 is your answer
Less than 5 is your answer!

What is 2 times 300=? Just kidding i know the answer but any body wanna just talk?

Answers

Answer:

Sure! XD

Step-by-step explanation:

600:) hope I helped ya out

need help, Will give brainliest

Answers

Answer: X=2

Explanation:

3x-5=1
Plug in the variable

3(2)-5=1
Multiply 3x2

6-5=1
Subtract

A square window has an area of 1,232 in2. (a) What is the length of 1 side of the window? Round your answer to the nearest tenth. Show all of your work. (1 point for the correct answer and 1 point for showing how you got your answer)

Answers

x = length of one side.

1,232in^2 = x^2

Take the sqrt of both sides.

35.1 in = x

The length of one side = 35.1 in

Step-by-step explanation:

We know that,

area of square = a²

→ 1,232 = a²

→ a = √1232

→ a = 35.0 in

Nearest 10th = 35.1 in

A triangle has a perimeter of 26 inches. The medium side is 6 more than the short side, and the longest side is 3
times the length of the shortest side. Find the shortest side?

Answers

Answer:

where is your formula? pliz tell me

Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough colories to lose 4 pounds per week, then how many weeks will poss before Mr. Andrews weighs 228 pounds? Variable: bit bin Solutions​

Answers

Answer:

6.5

Step-by-step explanation:

it will take Me. andrews 6.5 weeks to get to 228 pounds

Solve for E.

h=E/mg​

Answers

Answer:

hmg = E

Step-by-step explanation:

Step 1: Write equation

h = E/mg

Step 2: Multiply both sides by mg

hmg = E

Which expressions are equivalent to k/2 ?

Answers

Answer: (1/2)k

Step-by-step explanation:

Answer:

1/2 kand k/2

Step-by-step explanation:

What is the formula for finding circumference given the radius?

Answers

Answer:

[tex]C = 2\pi r\\[/tex]

Step-by-step explanation:

[tex]Circumference = 2\times \pi \times r[/tex]

Brainliest WILL BE MARKED I NEED HELP MATH DON'T GET IT

Answers

They were supposed to flip 16/6 so that it's 6/16. Then multiply 5/3 by 6/16 to get 30/48, which becomes 5/8.

ca
7. Consider the equation a-3 =
What value(s) of a make the equation true?
(3)?

Answers

It’s true because of the a

Point G is on line segment FH. Given FH = 5x + 2, GH = 5x – 9, and
FG = x + 5, determine the numerical length of FG.

Answers

Answer:

Step-by-step explanation:

11

Name a number greater than 1 that is both a perfect square and a perfect cube. Explain how you know this.

Answers

Answer:

64

Step-by-step explanation:

64 is both a perfect square and a perfect cube.

8*8=64

4*4*4=64

Answer:

hello!

Step-by-step explanation:

lets solve this,

64.

8x8= 64.

4x4x4= 64.

If the room had a volume of 5,184,000 cubic inches, approximately how many basketballs
did the students put in the principal's office if each basketball has a volume of 523.6 cubic inches?

Answers

Answer:

around 9900.6 balls can fit in the room

Step-by-step explanation:

Suppose that the number of miles that an EV battery (electric vehicle) can run before its battery wears out is exponentially distributed with the average value of 100,000 miles. If a car manufacturer decides to install this type of battery to power the vehicle, do the following: 1) What percentage of the cars will fail at the end of 50,000 miles

Answers

Answer:

The value is [tex]P(X = 50,000) = 6.07*10^{-6}[/tex]

Step-by-step explanation:

From the question we are told that

The average value is [tex]E(x) = 100000 \ miles[/tex]

Generally the exponential distribution function is mathematically represented as

[tex]f(x) = \{ \left \theta* e^{-\theta * x } \ ; \ \ \theta >0} \atop {0 \ ; \ otherwise }} \right.[/tex]

Here [tex]\theta [/tex] is a constant which is mathematically represented as

[tex]\theta = \frac{1}{E(x)}[/tex]

=> [tex]\theta = \frac{1}{100000}[/tex]

=> [tex]\theta =1 *10^{-5}[/tex]

So at x = 50,000 miles (given)

[tex]f(50000) = 1 *10^{-5} * e^{-1*10^{-5} * 50000}[/tex]

[tex]f(50000) = 6.07*10^{-6}[/tex]

So the percentage of the cars will fail at the end of 50,000 miles is

[tex]P(X = 50,000) = 6.07*10^{-6}[/tex]

1) Given the following problem: I am thinking of a number. If you double the number and add 10, the result is 22.

What is the number?
a) Write a detailed explanation of the solution of the problem using the problem solving strategy: Work Backwards

Answers

Answer:

the number is (((6))))

Answer:

The answer is 6

Step-by-step explanation:

What wanna start out with finding the difference by subtracting 10 from 22. This would give you the difference of 12. Since its 'double the number', we are going to find the quotient of 12 / 2 = 6. You will then end up with the answer 6.

What is the Area of the letter E

Answers

Answer:

24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24

Step-by-step explanation:

While chasing its prey, a cheetah is running slowly and then increases its speed by 42.5 miles per hour to reach a top speed of 70 miles per hour. What is the cheetah's initial speed?

42.5 miles per hour
or
112.5 miles per hour
or
27.5 miles per hour
or
35.5 miles per hour

Answers

Answer: 27.5 miles per hour

Step-by-step explanation: 70 - 42.5 = 27.5

I believe it’s 26.5 miles per hour

Solve for p in the literal equation 8p+5r=q

Answers

8p + 5r = q

We have to isolate the variable  p. Let's begin by subtracting 5r from both sides.

8p = q - 5r

Divide both sides by 8

p = [tex]\frac{q - 5r}{8}[/tex]

[tex]8p + 5r = q[/tex]

Subtract 5r on both sides of the equation.

[tex]8p = - 5r + q[/tex]

Divide both sides of the equation by 8.

[tex]p = \frac{ - 5r + q}{8} [/tex]

Levi earned $489.90 at his job when he worked for 23 hours. What was his hourly wage, in dollars per hour? (HELP!!!!)

Answers

$489.90 divided by 23 = dollars per hour = $21.30

Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?

Answers

Answer:

$1680

Step-by-step explanation:

make use of the simple interest formula:

PRT/100

P is the principle ($8000)

R is the rate of interest (7%)

T is the time (3)

= 8000*7*3 / 100

1680

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