Given y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0

Given Y = F(u) And U=g(x), Find =f(g(x))g'(x) For The Following Functions.dxy = Cos U, U = 4x - 3dydx

Answers

Answer 1

Answer:

-4sin(4x-3)

Step-by-step explanation:

Given y = cos u, u = 4x - 3

dy/dx = dy/du * du/dx

dy/du = -sinu

du/dx = 4

dy/dx = -4sinu

since u = 4x - 3

dy/dx = -4sin(4x-3)


Related Questions

Find the probability of 5 successes in 9 trials of a binomial experiment in which the probability of success in any one trial is 37%.

Answers

Answer:

0.1376

Step-by-step explanation:

We will use the binomial formula here

Where p = 37% = 37/100 = 0.37

1-p = 1-0.37 = 0.63

So we have

P(x = 5) = 9C5 * 0.37^5 * 0.63^4 = 0.1376

How do I find X in this problem

Answers

Answer: x = 16°

Step-by-step explanation:

This is a right triangle, which means all angles add up to 180°.One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

Answer:

x = 16

Step-by-step explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°

[tex](x+26)+(3x)=90[/tex]

First subtract the 26 from both sides (on 90 and on the equation)

[tex]x+3x=64[/tex]   (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

If anybody can help me with questions 5-8 that will be awesome!!! THANK YOU SO MUCHHHHG

Answers

Answer:

5. B

6. B

7. D

8. D

< means a filled in circle.

Hope this helps!

plz help by telling the answer. I will rate u 5 star and give u branist and also like plus I will follow u plz help me​

Answers

Answer:

The simple answer is we round the square root of the number of data points. For example: 25 data points = 5 bars. 100 data points = 10 bars

Mia invests $5,000 in an index fund. After 1 year, the fund's share price has increased by 8%. How much did Mia gain?

Answers

Answer: In the end, she has $5400 in total, so she must gain $400 on her investment.

Step-by-step explanation:

8% is 0.08 >>> add 1 to it = 1.08

5000*1.08 = 5400

or the other way to do this is 5000*0.08 = 400 and then 5000+400=5400

Hope this helps!

in need help
Relationships in Triangles

Answers

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

A cost of a washing machine is 70 percent the cost of a dishwasher .Both cost 3400 dollars .What is the cost of the dishwasher.

Answers

Answer:

2000

Step-by-step explanation:

set up equation

.7x+x=3400

combine like terms

1.7x=3400

divide by 1.7 on both sides

x=2000

how do i answer this?​

Answers

Step-by-step explanation:

here is the answer. Hope that helps.

if two angles are supplementary, then what is the measurement of the missing angle, if one angle is 120?

Answers

Answer: 60°

Step-by-step explanation:

If two angles are supplementary, that means they add up to 180°.

Therefore, if one angle is 120°, the other missing angle can be calculated by:

180° - 120° = 60°

Points R, L, and S are

A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear

Answers

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

What is coplanar?

A set of points in space are co planar, if there exists a geometric plane that contains them all.

What is non-collinear?

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

Learn more about co planar and non-collinear here

https://brainly.com/question/24250339

#SPJ2

Determine the domain and range of the function f(x) = 23/1082
O {x| all real numbers} {yly >0}
O {x} all real numbers}; {yl y 2 0}
O {x\ x >0}; {y| all real numbers}
O {x\ x 2 0}; {yl all real numbers}

Answers

Answer:

A

Step-by-step explanation:

The domain is all real numbers and the range is all real numbers greater than zero

The domain is {x| all real numbers} and the range is {y| y > 0}

How to find the domain of a function?

The domain of a function is the set of inputs that we can use in the function. To find it, we initially assume that it is the set of all real numbers, and then remove the problematic values of x.

For example, a problematic point would be a value of x that causes the denominator to be equal to zero.

In this particular case, we can see that the variable is in the exponent, thus it can take any real value and it will not cause any problem, so the domain is the set of all real numbers.

The range is the set of possible outputs. Because in this case, the base is a positive number, the outcomes will only be positive, then the range is given by:

y > 0.

So the correct option is A.

If you want to learn more about range and domain, you can read:

https://brainly.com/question/1770447

Isabell drove 819 miles in 13 hours. at the same rate how many miles would she drive in 7 hours

Answers

Answer:

441 miles

Step-by-step explanation:

Rate of the Car: 819/13 = 63mph

Miles Driven in 7 Hours: 63*7 = 441 miles

Answer:

441 miles

Step-by-step explanation:

* means multiply

819/13 = x/7

13 * x = 819 * 7

13x = 5733

x = 5733 ÷ 13

x = 441

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Answer:

The points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Which points are coplanar and non ol linear

Answers

Answer:

COPLANAR:

Point A, C and D

NON- COLLINEAR:

Point B

Step-by-step explanation:

[tex]{hope it helps[/tex]

What number line model represents the expression 5 1/2 + (-3)

Answers

Answer:

(A)

Step-by-step explanation:

The bottom arrow goes to 5 1/2, and then because adding -3 is the same as subtracting 3, the top arrow correctly goes back 3, resulting in an answer of 2 1/2.

Hope it helps (●'◡'●)

SOMEONE HELP ASAP PLEASEEEEE!!!!!

Answers

Answer:

the answer is 35% probability

your welcome

The Rivera family bought a new tent for camping. The front of the old tent is a triangle with equal sides of 3.2 m and a floor width of 4.8 m. If the new tent is similar in shape to the old tent and has equal sides of 4 m, how wide is the floor of the new tent?

Answers

Step-by-step explanation:

8. Write the equation for a line that has a slope of 5 and a y-intercept of
negative 12.

Answers

Answer:

[tex]y=5x-12[/tex]

Step-by-step explanation:

This is in slope-intercept form, [tex]y=mx+b[/tex] where [tex]m[/tex] stands for the slope and [tex]b[/tex] stands for the y-intercept.

Hope this is helpful.

Step-by-step explanation:

equation of the line is given by the equation

y=mx+c

in this question you are given the slope (m) as 5 and the y intercept (c) as -12

therefore the equation will be

y=5x+(-12)

y=5x-12

4. Convert 23 miles per hour to kilometers per minute. (1 mile = 1.609 kilometers)

Answers

Answer:

Ewan ko lng po when you find someone ma mas better less sa kanya

Increase £16470.45 by 13.5% Give your answer rounded to 2 DP. Someone help pls

Answers

Answer: £18693.96

Step-by-step explanation:

13.5% = 0.135

16470.45 + 16470.45(0.135)

= 16470.45(1 + 0.135)

= 16470.45(1.135)

≈ 18693.96

I need help with my math!!!

Answers

Answer:

[tex]y = |x+2|+1[/tex]

Step-by-step explanation:

Select the complete subject of the sentence below. Brandon planned to win the race. Brandon planned Brandon planned to win Brandon planned to win the race Brandon

Answers

Answer:

i cant even process this.

Step-by-step explanation:

Find the domain of the function. Write the answer in interval notation.

Answers

Answer:

(- ∞,∞)

there is no restriction when taking  cube roots

Step-by-step explanation:

Se conoce que 6 jarras cuestan lo mismo que 5 cubiertos y que 3 cubiertos cuestan S/. 7.20, ¿Cuánto costarán 7 jarras? (2 PUNTOS)

Answers

Answer:

7 jarras costarán 14 $

Step-by-step explanation:

Si 3 cubiertos cuestan  7.20 $

1 cubierto cuesta     7.20/3  =  2.40 $

y 5 cubiertos cuestan    5* 2.40   =  12 $

que también cuestan 6 jarras  =  12 $

Luego 1 jarra cuesta  12/6  =  2  $

Por lo que 7 jarras costarán:  7 * 2  =  14 $

What is the difference between calculating the area and calculating the perimeter of a rectangle?

Answers

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

which equation is represented by the table

Answers

Answer:

B. b=3a+2

Step-by-step explanation:

I just substituted all of the a values in and I got the b values.

Answer:

Your answer is B, b = 3a+2

Step-by-step explanation:

for example:

3(2) + 2 = 8

Insert a number from column a into the variable and it will come out as the number in column b if it's the correct equation.

write 36,438 correct to 2 significant figure
(show how you did it)​

Answers

Answer:

36,000

Step-by-step explanation:

Rounding Significant Figures Rules

Non-zero digits are always significant Zeros between non-zero digits are always significant Leading zeros are never significant Trailing zeros are only significant if the number contains a decimal point

Rounding Rules

When rounding significant figures the standard rules of rounding numbers apply, except that non-significant digits to the left of the decimal are replaced with zeros.

Example: 356 rounded to 2 significant digits is 360

This calculator rounds down if the next digit is less than 5 and rounds up when the next digit is greater than or equal to 5.

In the table below 305.459 is rounded from 0 to 6 significant figures. For comparison the same number is rounded from 0 to 6 decimal places. You can see the difference between rounding for significant figures and rounding to decimal places.

Write the equation of the graph shown below in factored form.

Answers

Answer:

where is the graph?

Step-by-step explanation:

I could help.

The second number in an ordered pair of numbers that corresponds to a point on a coordinate system is the
y-value.
x-value.
rate.
constant of proportionality.

Answers

Answer:

y value

Step-by-step explanation:

when you write an ordered pair the first number is your x and the second number is your y. these make a point on a graph.

(x,y)

Answer:

a

Step-by-step explanation:

hi can you help me in mate plis
simplify the following algebraic expressions​

Answers

Answer:

3b

Step-by-step explanation:

[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]

[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]

[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]

[tex] = 3bc^{3-3} [/tex]

[tex] = 3bc^{0} [/tex]

[tex] = 3b [/tex]

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