Mathematics College

Let y = x² In(x).
dy/dx the lesson is differentiate products​

Answers

Answer 1

Answer:

dy/dx = x(1+2lnx)

Step-by-step explanation:

Given y = x² In(x).

dy/dx = Udv/dx + Vdu/dx

Let U = x², V = lnx

du/dx = 2x

dv/dx = 1/x

Substitute into the formula;

dy/dx = x²(1/x) + lnx(2x)

dy/dx = x + 2xlnx

dy/dx = x(1+2lnx)

Related Questions

A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?

Answers

Answer:

18 seats in each row

Step-by-step explanation:

25 x 22 = 550

928 - 550 = 378

378 / 21 = 18

You know that a rope is no more than 100 feet long. You need to cut the rope into three pieces the second piece is to be three times as long as the first piece, and the third piece must be 18 feet long. What is the maximum length of the second piece?

Answers

Answer:

hi

Step-by-step explanation:

The rope is originally 100 ft. long. The first piece is 32 ft., leaving 100–32, or 68 ft.

Let n be the second piece, and n-30 be the third piece. Then:

n+n-30=68

2n=98

n=49

n-30=19

The second piece is 49 ft. long; the third piece is 19 ft. long ……..

Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left

Answers

Answer:

2

Step-by-step explanation:

I did 8 divided by 4 which is 2.

I hope this helps.

Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me

Answers

Download Socratic for the correct answer btw I need points;)

3 tons of cement cost $780.00. What is the price per pound?​

Answers

Answer:

$260

Step-by-step explanation:

Divide $780.00 by 3.

780 ÷ 3 = $260

what is -5/9 = -10/3 v

Answers

Answer:

v= 1/6

Step-by-step explanation:

1. Simiplify 10/3v = 10/3v -5/9= -10v/3

2. Multiply both sides by 3

3. Use this rule : a/b × c = ac/b

4. 5× 3= 15 -15/9= -10v

5. Simiplify 15/9 = 5/3 -5/3 = -10v

6. Divide both side by -10 -5/3/-10=v

7. Two negative make a postive 5/3/10 = v

8. Simplify 5/3/10= 5/3×10

9. Simplify 3×10=30 5/30=v

10. Simplify 5/30 = 1/6v

11. Swith sides v= 1/6

Solve the systems of equation by elimination.

x + 5y = -7
2x + 7y = -8

Answers

2x-7y=-6 but x = 5y , so

2(5y) - 7y = -6

what is the complement and supplement of 35 degrees​

Answers

Answer:

it's compliment is 55 degrees  (55+35 = 90 degrees)

it's supplement is 145 degrees (145 + 35 = 180 degrees)

Step-by-step explanation:

If f(x) = x + 2x - 3, what is the value of f(1 + 2)?

Answers

Answer:

6

Explanation:

substituting- f(x)= (1+2) + 2(1+2) -3

3 + 2(3)-3

3+6-3

=6

HOPE IT HELPS

please help asap !!! In the graph shown above, which line has a slope value less than −2

Answers

Answer: Line J  

A is the answer

A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *

Answers

Answer:

i do not know that one

Step-by-step explanation:

I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished  

Simplify the expression:
2n + 10(9 + 4n)

Answers

Answer:

42n+90

Step-by-step explanation:

Answer: 42n+90
Explaination:

2
n
+
10
(
9
+
4
n
)
Distribute:
=
2
n
+
(
10
)
(
9
)
+
(
10
)
(
4
n
)
=
2
n
+
90
+
40
n
Combine Like Terms:
=
2
n
+
90
+
40
n
=
(
2
n
+
40
n
)
+
(
90
)
=
42
n
+
90

Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?

Answers

Answer:

[tex]y-10=-2(x-7)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point

Plug in the slope

[tex]y-y_1=-2(x-x_1)[/tex]

Plug in the given point (7,10)

[tex]y-10=-2(x-7)[/tex]

I hope this helps!

Please Help, what is the answer

Answers

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]

We can calculate it as follows :

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]

So, the final answer is x⁶. The correct option is (2).

A stamp collector has 55 stamps from the United States, 30 stamps from Canada, and 15 from Mexico. If he were to close his eyes and randomly select 20 from his collection, about how many would you expect to be from Mexico?

Answers

6% chance I think but I’m not sure

Why might the first method give a closer average than the second method?

Answers

Answer:

dosent this question

on have a diagram or some thing

In which of the following expressions does the number 24 fill in the blank so that the equation is true? Select all that apply.

A) 8(3 + 5) = ___ + 40
B) 12(2 + 7) = ___ + 84
C) 8(4 + 2) = ___ + 16
D) 6(3 + 4) = 18 + ___

Answers

c

blahblahblahblahblahblahblah

Corrine earned $67.25 waiting tables, plus another $45.45 in tips. How much did she earn altogether?

Answers

Answer:

$112.70

Step-by-step explanation:

$67.25 + $45.45 = $112.70

please help me with this​

Answers

Answer:

Its like... the divising of the shape

Step-by-step explanation:

Can yall help me what my teacher talking bout please this is worth 73 point put the answer nd all

Answers

Can I ask u to repeat your question you need answered.
The answer to what? I’ll try and help.

There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.

probability of two bananas
p( two bananas )​

Answers

                                                                                                                                                   

                                                                                                                       .hnsxasy543esx nuyAtre

If the area of a circle is 50.25 meters what is the radius

Answers

Answer:

≈3.99938

Step-by-step explanation:

=3.399938


it’s the answer

23rd term of -11,-7,-3 in arithmetic sequence

Answers

Answer:

The 23rd term for the sequence is -99

Step-by-step explanation:

We can use an explicit rule to find the 23rd term.

Given Info:

=> Sequence: -11,-7,-3

=> f(1) = -11

=> Common difference (d) = -4

Explicit rule: f(1) + d(n-1)

So,

-11 -4 (n-1)

Substitute 23 for n

=> -11 - 4(23-1)

=> -11 - 4(22)

=> -11 - 88

=> -99

hope this helps and is right :)

p.s. i really need brainliest

Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes

​

Answers

Answer:

29 1/31 minutes

Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP

Answers

Answer:

The equivalent expression is [tex]7(1+i)[/tex]

Step-by-step explanation:

Additional of complex numbers:

When we add complex numbers, we add both it's real parts and imaginary parts.

In this question:

[tex](3 + 2i) + (4 + 5i) = 3 + 4 + (2+5)i = 7 + 7i = 7(1+i)[/tex]

The equivalent expression is [tex]7(1+i)[/tex]

Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.

Answers

3x=18

x= 6

6 dollars in pocket

Answer:

32+s=55

Step-by-step explanation:

Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.

Cali records the number of articles she
writes each month for a year.
Articles Each Month
5
5
3
6
2
5
5
4
4
7
9
2
In what percent of the months does
she write MORE than 3 articles?
%

Answers

Answer: 75%

Step-by-step explanation:

9/12 months are number larger than three. 9/12 simplified is 3/4 and 3/4 is 75%

75%

There are 12 months. She wrote more than three articles 9 out of the 12 months. To find the percentage you need to divide. 9 divided by 12 is .75, to convert a decimal to a percent you have to move the decimal 2 places to the right. Therefore, you get 75%

ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500

Answers

I think it is A hope it correct
the answer to the question is A

y-2=-5(x-2) slope intercept form

Answers

Answer:

y = -5x + 12

Step-by-step explanation:

slope intercept form is where you simplify it and get the y by itself, so:

[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

18 units square

Step-by-step explanation:

Given

The attached trapezium

Required

Determine the area

From the attachment, the height, h is:

[tex]h = 3\ units[/tex]

And parallel sides are:

[tex]s_1 = 3[/tex]

[tex]s_2 = 9[/tex]

So, the area is calculated as:

[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]

[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]

[tex]Area = \frac{1}{2} * 12 * 3[/tex]

[tex]Area = \frac{36}{2}[/tex]

[tex]Area = 18[/tex]

Other Questions
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