Hi. I need help with these questions (see image)
Please show workings.
Answer a and b
Answers
Answer:
see explanation
Step-by-step explanation:
Using the chain rule along with standard derivatives
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
[tex]\frac{d}{dx}[/tex] (sinx) = cosx , [tex]\frac{d}{dx}[/tex] (cosx) = - sinx
(a)
y = sin x²
[tex]\frac{dy}{dx}[/tex] = cos x² × [tex]\frac{d}{dx}[/tex] (x² )
= cos x² × 2x
= 2xcosx²
(b)
y = cos4x³
[tex]\frac{dy}{dx}[/tex] = - sin4x³ × [tex]\frac{d}{dx}[/tex] (4x³ )
= - sin4x³ × 12x²
= - 12x²sin4x³
Related Questions
Sharon watched 1/2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/3 of the movie left to watch. How much of the movie did Sharon watch at night?
Answers
Answer:
Movie she watch at night = 1/6 Part
Step-by-step explanation:
Given:
Watched movie in morning = 1/2
Movie Left to watch = 1/3
Find:
Movie she watch at night
Computation:
Movie she watch at night = 1 - Watched movie in morning - Movie Left to watch
Movie she watch at night = 1 - 1/2 - 1/3
By taking L.C.M
Movie she watch at night = (6-3-2) / 6
Movie she watch at night = 1/6 Part
Line q passes through the points (4, 6) and (0, 6). What is the equation for the line which is perpendicular to q and passes through the point (–2, 3)?
Answers
Answer:
x = -2Step-by-step explanation:
The slope of q:
[tex]m_q=\dfrac{6-6}{4-6}=0[/tex]
It means the line q is parallel to X-axis. Therefore any line perpendicular to q is parallel to Y-axis.
Any line parallel to Y-axis is: x = x₀, where x₀ is the x-coordinate of any point the line passing through.
(-2, 3) ⇒ x₀ = -2
Evaluate the following function f(x) =-12x-23 at x=9*
Answers
Answer:
f(9) = -131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -12x - 23
x = 9
Step 2: Evaluate
Substitute: f(9) = -12(9) - 23Multiply: f(9) = -108 - 23Subtract: f(9) = -131I HOPE THAT YOU CAN HELP I WILL MARK BRAINLIEST
Answers
Answer:
it's answer is D
-6 , -1 ,4 , 9
Hope it will help :)❤
what is the point-slope form of a line that has a slope of 5 and passes through the point (3,-4)
Answers
Luke had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 each. How much money was left?
Answers
Answer:
4.85 left
Step-by-step explanation:
Answer:
$4.85
Step-by-step explanation:
Amount John has = $8.50 (Given)
Find amount left after spending on sweet
Sweet = $1.25
Amount left = $8.50 - $1.25 = $7.25
Find amount left after giving to 2 friends:
First friend = $1.20
Second friends = $1.20 x 2 = $2.40
$7.25 - $2.40 = $4.85
Answer: $4.85
Jaclyn is training for a long bike ride. Right now, her longest ride is miles. She plans to add miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after weeks. Do not include units in your answer.
Answers
Values in the question are missing ; we could get some input for the missing values and solve the question asked :
Jaclyn is training for a long bike ride. Right now, her longest ride is 36 miles. She plans to add 2 miles each week to her longest ride. Use a linear equation to determine the length of Jaclyn's longest ride after 6 weeks. Do not include units in your answer.
Answer:
48 miles
Step-by-step explanation:
Given that:
Longest ride (initial) = 36 miles
Additional miles per week = 2 miles
y(x) = mx + c
c = initial ride ; m = rate (increase in miles per week) ; x = number of miles per week
Longest ride after 6 weeks will be :
[Longest ride (initial) + additional miles per week * number of weeks]
Longest ride after 6 weeks :
36 miles + (2 * 6)
36 + 12
48 miles after 6 weeks
jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?
Answers
X=2y+6
X+y=96
Put 2y+6 in for x (the second equation)
2y+6+y=96
Combine like terms and simplify
3y=90
Y=30
Use the second equation to find x changing y into a number
X+30=96
X=66
The number of dogs is 66
If I’m right, can you mark me brainliest please?
Austin mixed 1/3 bag of cement for 3 fence posts. How much cement did
he use for each fence ,have another question
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(the stake is 14ft)
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Answers
Answer:
it‘s about
32.08 ft (if its not an answer choice try 32 or anywhere near that number)
Step-by-step explanation:
SO this is a simple example of triangles
We would need to find the heigh of the flagpole which is the leg of the triangle
The other side (14ft) is the 2nd leg of the triangle
And we know the hypotenuse is 35 ft
So we put that in Pythagorean Theroux and solve for the first missing leg
a^2+14^2=35^2
a^2+196=1225
a^2=1029
√1029 is about 32.08
So its about 32.08
Given the number line and the expression shown below, select the expression that is equivalent to it.
Answers
Answer:
I need to see the number line...
Step-by-step explanation:
I’m sorry, but I need to see the number line, or I need you to describe what it looks like.
Thanks-
Can someone please help me with this?
Answers
Answer:
A
Step-by-step explanation:
Write the quadratic equation in standard form please.
-x^2+7-6x=2
Answers
Answer:
Step-by-step explanation:
-x^2 - 6x + 5=0
W
Write an expression for "8 times x."
Answers
Answer:
8 X x (Bigger X stands for multiplication)
Step-by-step explanation:
8x-y or you can do it another way is fine
help will give Brainliest.
Does this expression use the distributive property?
(6x + 3) + (5x - 4)
Answers
no because you are not distributing numbers that multiply with each other and form new expressions
Answer:
hm I'm not sure but you solve it like this
Step-by-step explanation:
(6x + 3) + (5x - 4)
remove unnecessary parenthesis
6x+3+(5x-4)
collect like terms
11x+3-4
answer :
11x-1
The suns diameter if 10 times the diameter of jupiter. If jupiter is 11 times larger than earth, how much larger than earth is the sun
Answers
Given:
The suns diameter is 10 times the diameter of Jupiter.
Jupiter is 11 times larger than earth.
To find:
How much larger than earth is the sun?
Solution:
Let the diameter of earth be x.
Jupiter is 11 times larger than earth. So,
Diameter of the Jupiter = 11x
The suns diameter is 10 times the diameter of Jupiter. So,
Diameter of sun = 10(11x)
Diameter of sun = 110x
Since, diameter of earth is x and diameter of sun is 110x, therefore, diameter of sun is 110 times of the earth.
Hence, the sun is 110 times larger than earth.
The diameter of the sun is 110 times greater than the diameter of the earth.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The sun's diameter is 10 times the diameter of Jupiter. If Jupiter is 11 times larger than earth.
Let the diameter of the Sun, Jupiter, and Earth be S, J, and E respectively
Then we have
S = 10J ...1
J = 11 E ...2
From equations 1 and 2, we have
S = 10 × 11 E
S = 110 E
More about the linear system link is given below.
https://brainly.com/question/20379472
Please help I will vote brainliest for the correct answer!!!!!!!!!!!!!
Answers
Answer:
It is increasing before x = -2 and from x = 0 to x =2
Step-by-step explanation:
Can someone help ????
Answers
Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
KLMN ~ STUV
[tex]\frac{ST}{KL} = \frac{TU}{LM} =\frac{UV}{MN} =\frac{VS}{NK} =\frac{12}{6} = 2[/tex]
The scale factor of the dilation is 2
Please help!! I’ll mark brainliest!
Answers
Answer:
Just from looking at the picture, I'm assuming that we're trying to find the terms that are like to the terms in the blue section.
1. 8c since both are in terms of c
2. 7t since both are in terms of t
3. 8r since both are in terms of r
4. -4n since both are in terms of n
5. xy since both are in terms of xy
6. 16 since both don't have any variables
7. 4sp since both are in terms of sp
Step-by-step explanation:
Answer:
8r and -2r
xy and 6xy
8c and 19c
16 and 97
4sp and sp
7t and 13t
-4n and 10n
Step-by-step explanation:
write the sentence as an inequality. A number x is greater than 3.
Answers
Answer:
Step-by-step explanation:
As x is bigger than the number the 3.
x > 3 (The answer) ✔️
This symbol ‘>’ means ‘greater than’
So x is greater than 3
15. A person facing east walks east 20 paces, turns, walks north 10 paces, turns, walks west 25 paces, turns, walks south 10 paces, turns, walks east 15 paces, and then stops. What one transformation could have produced that same final result in terms of the position of the person and the direction the person faces?
A. reflection over the north-south axis
B. rotation
C. translation
D. reflection over the west-east axis\
Answers
Answer:
10 paces East
Step-by-step explanation:
East 20 and West 25 and East 15 = 10 East
10 north and 10 south cancel each other out
2) Bob's stock gained $3.47
Monday, lost $2 Tuesday, gained
$0.32 Wednesday, lost $4.21
Thursday, and gained $0.35 Friday.
What was the change in the stock
prices this week?
I
Answers
Answer:
-2.07
Step-by-step explanation:
3.47-2+0.32-4.21+0.35
How many 2/5 ounce servings are in 3 4/7 ounces?
Answers
Can you guys help me out please
Answers
and the work is:
540 = 6x-6+4x-10+5x-11+5x+13+4x+2
combine like terms:
540 = 24x-12
23=x
then plug 23 in for x to get angle p:
4*23+2
92+2
94
a graphic artist has a picture that is 5 in by 10 in the picture needs to be in large so the larger side is 30 in the ratio of the sides lengths will remain the same how long will the shorter side be after the enlargement
Answers
Answer:15
Step-by-step explanation:
the ratio is 1:2 so 5 is half of 10 and if 10 becomes 30 it’s tripled so you would then have to triple 5 getting 15 , i hope this is right if not i’m sorry
the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo
Answers
Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120
PLEASE HELP ME ASAP PLEASE
Carol and Diane are axe throwers. Carol hits the board on 44% of her throws, while Diane hits the board on 42% of her throws. Suppose that Carol throws 25 axes at the board and Diane throws 28. Let C = the proportion of axes that hit the board when Carol throws and D = the proportion of axes that hit the board when Diane throws. What is the probability that Diane’s proportion of axes hitting the board is higher than Carol’s?
0.442
0.456
0.491
0.558
Answers
Answer:
0.442
Step-by-step explanation:
took the quiz
I really need help! I WILL MARK BRAINLIEST
Answers
Answer:
I can help a little y = the part your trying to find or the x which is the same thing so y = [x - 3] + 2 sorry I wasn't mush help.
Answer:
B
Step by Step Answer:
If you translate the above equation across the y-axis you will get:
[tex]y = - |x - 3|[/tex]
Distribute the negative sign into the absolute value bars and get:
[tex]y = |x + 3| [/tex]
Express the ratio as a fraction in simplest form.
Answers
Answer:
c 2/3
Step-by-step explanation:
divide both numerator and denominator by 7
Pleaseee helpppp meeeeeee
Answers
Answer:
measure of Arc FJ is 80 degrees.
Step-by-step explanation:
Key skills: High School Geometry, One Variable Equations, Angles
1)Let's look at the diagram thoroughly
2) The 2 thing we can get are:
Angle HKG and Angle IKJ are vertical angles (which means they are congruent). Angle HKG + Angle GKF + Angle FKJ = 180 (Since they all form a straight angle - A straight angle is 180 degrees in measure.)3) First we can use the fact that Angle HKG and Angle IKJ are vertical angles. This makes them congruent (Or equal in size)
We can then solve for x by making the equation: 3x-22=x+104) Solve this by moving the x's to one side, and the numbers to the other. You would then get: 3x-x=10+22
3x-x= 2x 10+22=32
2x=32
Divide by 2 on both sides and x=16.
5) We get that x=16. Now to find the measure of Arc FJ, we need to use the fact that Angle HKG + Angle GKF + Angle FKJ = 180
What we want to find is Angle FKJ. The measure of Angle FKJ would be the measure of Arc FJ
6) We can make an equation: x+10+74+Angle FKJ=180
Solve this --> x=16, so substitute it in16 + 10 + 74 + Angle FKJ=180100 + Angle FKJ = 180Angle FKJ = 80 degreesIf Angle FKJ is 80 degrees, then Arc FJ measures 80 degrees.
Hope you understood! Have a Nice Day! :D