Differentiate y=(sinx)(3x^2) please help please !

Answers

Answer 1

Answer:

6xsinx + 3x²cosx

Step-by-step explanation:

Differentiate using the product rule

Given y = f(x)(g(x) , then

[tex]\frac{dy}{dx}[/tex] = f(x)g'(x) + g(x)f'(x)

Here f(x) = sinx ⇒ f'(x) = cosx

g(x) = 3x² ⇒ g'(x) = 6x

Thus

[tex]\frac{dy}{dx}[/tex] = 6xsinx + 3x²cosx


Related Questions

2.3 to 1 significant figure

Answers

☽------------❀-------------☾

Hi there!

~

2.3 to 1 significant figure.

= 2

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

2

Step-by-step explanation:

Locate the ones place:

2.3

Check the next number:

2.3

Since the number is less than or equal to 4, we round down.

2.3 ≈ 2

Hope this helps.

I need help with B.​

Answers

Answer:

6x= 42

x= 7

Step-by-step explanation:

a) Area= length ×width

2100= 50 ×width

width= 2100 ÷50

width= 42 ft

Thus, the field is 42ft wide.

b) width of field

= x +3x +2x

= 6x

Since we know that the field is 42ft wide from (a),

Equation: 6x= 42

x= 42 ÷6

x= 7

Find the difference: 34x-4x+2y=?

Answers

Answer: The answer is 30x-2y

Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.

A recipe for orange water says, “Mix 3 teaspoons yellow water with 1 teaspoon red water.” For this recipe, we might say: “The ratio of teaspoons of yellow water to teaspoons of red water is 3:1.”

Answers

Answer:6:2

Step-by-step explanation:

Answer:

how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4


True or False? (-x)^6 = -x^5 Explain your
answer (use either words or an example).

Answers

Answer:

False

Step-by-step explanation:

[tex](-x)^{6}[/tex] = [tex]x^{6}[/tex]

- [tex]x^{5}[/tex] = - [tex]x^{5}[/tex]

Thus

[tex](-x)^{6}[/tex] ≠ - [tex]x^{5}[/tex]

True or False, the chance of flipping heads on a coin 3 times in a row is 1/2​

Answers

true flip a coin it's  fifty fifty

Answer:

False

Step-by-step explanation:

Each toss is an independent event, so the probability of three tosses of heads in a row is the product of the three probabilities..

Each probability of heads is

p(heads) = 1/2

p(heads, heads, heads) = p(heads) * p(heads) * p(heads) = 1/2 * 1/2 * 1/2 = 1/8

Answer: False

Is -2.7 an irrational number

Answers

Yes it is a irrational number

Please help and hurry please thank you!
Choose the equation that
represents this situation. Use c to represent the
variable.
Tori received a $50 gift card for her birthday. After buying some clothes, she
had $32 left on the card. How much did she spend on the clothes?
A.c=32+50
B.32c=50
C.32-c=50
D.50-c=32

Answers

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

Use long division to write the fraction -6/8 as a decimal.​

Answers

[tex] \frac{ - 6}{8} = - \frac{3}{4} = - 0.75[/tex]

The answer should be 0.75

what is an expression is equivalent to 16.8 - 18.6

Answers

Answer:

- 1.8

Step-by-step explanation:

Step 1:

16.8 - 18.6

Answer:

- 1.8

Hope This Helps :)

Answer:

so is it negitive

Step-by-step explanation:

1. 4 more than the difference of 8 and a number

Answers

Answer:

(8-n) + 4

4+ (8-n)

Step-by-step explanation:

I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!

Evaluate for x=-7 and y=-3 11x - 4y

Answers

Answer:

Is -65

Step-by-step explanation:

Used a calculator

Step-by-step explanation:

x=-7 so 11x becomes 11 x-7

11 x -7=-77

y=-3 so -4y becomes -4 x -3

-4 x -3=-12

-77-12=-89

I hope it helps!

What is 47.2% as a fraction? (can someone show the work)

Answers

Answer: 59/125

Step-by-step explanation:

What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.

Given: h(x)=-4x and g(x) = 3x +1
Find:
(nog)

Answers

Answer:

Step-by-step explanation:

h(g(x))

g(x)= 3x + 1

h(3x + 1) = 4(3x + 1) = 12x + 4

work it out "the equation 1.5r + 15=2.25r represents the number r of movies u must rent to spend the same amount at each movie store. how many movies must u rent to spend the same amount at each movie store" then there's 2 pics one says "all rentals $1.50, membership fee $15" other says "membership free, all rentals $2.25"

Answers

Answer:

  20

Step-by-step explanation:

Your equation is correct. To solve it subtract 1.5r from both sides and divide by the resulting coefficient of r.

  15 = 0.75r

  15/0.75 = r = 20

You must rent 20 movies for the costs to be the same.

which represents the slope of a line that is parallel to a line with a slope of -2

Answers

Answer:

One with a slope of -2 and different y-intercept

e.g. y = -2x + 3

. 10(7x - 2) + 3(-7X - 8)

Answers

Answer:

49x-44 is it.

Step-by-step explanation:

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).

Answers

Answer:

(47-14) h ÷ 3 =11

Step-by-step explanation:

47-14=33

33 divided by 3 is 11

Jackson takes 11 hours to sell 47 cups.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours that Jackson sold his cups on Sunday.

Now,

Saturday cups + Sunday cups = Total cups.

14 + 3x = 47

3x = 33

x = 11

Hence "Jackson takes 11 hours to sell 47 cups".

For more about the equation,

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Which of the quadratic functions listed is written in standard form?
O A. Y= 2x² + 3x - 5
O B. Y-4 = - 3(x - 5)
OC. Y - 7 = -2(x + 3)?
O D. Y= (x+1)(x – 5)

Answers

Answer: A

Step-by-step explanation:

f(x)=ax²+bx+c is the standard form for quadratic functions. Looking at the answer choices, we can eliminate B, C, D. They are not the same as the given standard form. B and C are point-slope formulas, which are not standard form. D is in intercept form, therefore it is not standard form. This leaves us with A as the correct answer.

NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100

Answers

Step-by-step explanation:

scan it u could have the answer in a flash

You had $21 to spend on two notebooks. After buying them you had $17. How much did each notebook cost?

Answers

2$ each notebook

First you find how much you spent. You spent 4$ then divide it in half. That is how you get the answer.

solve this below. 4(3y+7)=40

Answers

First use distributive property:
12y + 28 = 40
Subtract 28 on both sides:
12y = 12
y = 1

Hope this helped
Divide both sides by the numeric number then slove y=1

15 points and brainlist! Math

Answers

Answer:

distribute the 3

Step-by-step explanation:

follow pemdas ill put a brainpop link below

its the answer highlighted in yellow

Answer:

the 4th option is the right answer

subtract the constants

hope this helped you

please mark as the brainliest (ㆁωㆁ)

I NEED HELP ASAP PLEASEEEE
Evaluate the expression for f = 4.
Write your answer as a decimal or whole number.
5f=
-----
4

Answers

Answer:

5

Step-by-step explanation:

Plug in the value of f into the equation:

5(4) /4

Cancel out 4

=5

Answer:

5

Step-by-step explanation:

5(4)/4

20/4

5

Round 45.396 to the nearest tenth

Answers

The answer would be 45.4

Answer:

Step-by-step explanation:

45.396

tenth place is 3

on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.

the answer is  45.4

find the value of x and y respectively A. 20, 120 B. 40, 120 C. 30, 140 D. 30,160

Answers

Answer:

Option A:

x=20 and y=120

Answer:

A. 20, 120

Step-by-step explanation:

[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]

What is the Range?
х. y.
1. 3
1. 4
3. 5
5. 6

Answers

Number five is your answer

Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?

Answers

Answer:

$6.00-($2.00+$4.50)

in other terms, 6 - (2 + 4.5)

Step-by-step explanation:

So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.

To get how much all together, we have to add. 2 + 4.5

Now that we now how to get the total amount, out them in parentheses and add the 6 infront.

Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.

All this leads to the expression: 6 - (2 + 4.5)

Hope this helps :)

Which number line represents all of the values of x for the equation x? = 647
-032-16
7
32
-10
-32-
32
12-16
32
40
-4032-N-16
-
16
3240

Answers

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

A field in the shape of a square has an area of 8,100 square feet. How can you determine the length of one side of the field?

Answers

To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.

A = s²

8100 ft² = s² (set up formula)

√8100 ft² = s² ( get s alone by squaring both sides)

90 ft = s (answer)

We can conclude that the side of the given square with an area of 8100ft² is 90ft.

What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length. A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90-degree angles.

So, the area of the square is 8100ft².

Formula: s²So, we know that: 8100 = s²

Now, calculate for s as follows:

s² = 8100s = √8100s = 90ft

Therefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.

Know more about squares here:

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