Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Samir works at a carpet warehouse and is paid a 4% commission on his sales. in November, he sold $9455 of carpet. How much did Samir earn in commission for November?
Answer:
$378.20
Step-by-step explanation:
9455 * .04 = $378.20
Helppppppppppp meeeeeeee
Answer:
itll be number 2
Step-by-step explanation:
Answer:
8 I thing is correct so check well you will get the correct answer
The world population is about 7.8 billion people now and the population grows at an annual rate of 1.1%. What will the population be in 2031?
Answer:
8.58 billion people
Step-by-step explanation:
7.8
1.1
78
78
858 place the decimal where it should be to get 8.58
A store sells four printers for every five computers. The store sells 40 computers on Saturday. How many printers did it sell on Saturday?
You record the number x of goals scored by the winning team, and the number y of goals scored by the
losing team for each soccer game during a team's season. Does the relation necessarily represent a function?
Explain.
Answer:
Step-by-step explanation:
Not necessarily.
For example 2 games could have the score 3-1 and 3-2.
This is a one-to-many mapping which is not a function.
Calculate the volume of cuboids with the following dimensions
length= 1.2 m, breadth= 1 m, height= 150 cm
Answer:
1.8 m^3
Step-by-step explanation:
We just have to multiply the lenghts, but careful: the height is in cm. 100 cm = 1 m. Therefore 150cm = 1,5m.
V = 1.2 m * 1m * 1.5m = 1.8 m^3
Evaluate the following expression if c = 8 and d = -5
3 * (c+d
Hi,
if c = 8 and d = -5:
3*(c + d) <=> 3*(8 + (-5))
= 3*(8 - 5)
= 3*3
= 9
✅^_^
can someone help me with these? it's a study guide and I lost the notes I took for these
Step-by-step explanation:
[tex]thanks \: you \: the \: point \\ pls \: follow \: me[/tex]
Does the point (7,7) satisfy the equation y =8x?
Answer:
no
Step-by-step explanation:
y = 8x
Try (7, 7).
Is 7 = 8(7)?
Is 7 = 56?
The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.
Please help! (Only answer if correct)
Erica used 50 pounds of type B coffee
Let the number of pounds of type A coffee be A
Let the number of pounds of type B coffee be B
Total number of pounds = 123
A + B = 123.........................................(1)
Cost of 1 pound of type A coffee = $5.95
Cost of 1 pound of type B coffee = $4.40
Total cost = $654.35
5.95A + 4.40B = 654.35..........................(2)
Make A the subject of the formula in equation (1)
A = 123 - B........................(3)
Substitute equation (3) into equation (2)
5.95(123 - B) + 4.40B = 654.35
731.85 - 5.95B + 4.40B = 654.35
5.95B - 4.40B = 731.85 - 654.35
1.55B = 77.5
B = 77.5/1.55
B = 50
Erica used 50 pounds of type B coffee
Learn more on system of equations here here: https://brainly.com/question/13729904
pls help i really dont understand this
Answer:
Slope: -1
y intercept: -3
equation: y=-1x-3
Step-by-step explanation:
The y intercept is when x is zero.
I need help with this
Answer:
a and b
Step-by-step explanation:
Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
D = 7b+1 = 7*17+1 = 119+1 = 120E = 2b+1 = 2*17+1 = 34+1 = 35 degreesF = b+8 = 17+8 = 25As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
What is the slope of the graph of
y= 5/2x+3?
-
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).
Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
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Hans is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?
___ kilometers per hour
Some nuts cost $22/kg. How much would 150 g cost?
Answer:
$3.30
Step-by-step explanation:
1 kg = 1000 g
therefore, 150 g = 0.15 kg
multiply the cost by the amount
22 x 0.15 = 3.3, or $3.30
The pric of a new car is $29,990. If the sales tax rate is 6.5%, then how much sales tax is being charged?What is the total cost for the car including tax?
Solution: ($29990)*(0.065) = $1949.35.
Answer: The sales tax is $1949.35 and the total cost is $29,990.00 + $1949.35 = $31,939.35.
A 3-gallon jug of water costs $16.80. What is the price per cup?
Answer:
$0.35
Step-by-step explanation:
A gallon is equal to 16 cups, so the 3-gallon jug is equal to 48 cups. You when then divide $16.80 by 48, to get $0.35 or the price per cup! Hope this helps :)
Answer:
0.35
Step-by-step explanation:
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
27 children
Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
39/13=3
9x3=27
Help pleaseeeeieneeiejne
Answer:
Pretty sure the domain for this is all positive numbers and range is all positive numbers over 1.
Step-by-step explanation:
domain refers to x values.
range refers to y values.
someone pleeeeease help me
Answer:
22.4cm
Step-by-step explanation:
The formula for the diagonal is:
[tex]d = \sqrt{l^{2} + b^{2} +h {}^{2} } [/tex]
Where:
l is the length (AB, CD)
b is the width (BC, AD)
h is the height (AE, BF, CG, DH)
We know d, l, b and we can calculate h
[tex]25 = \sqrt{10^{2} + 8^{2} + h^{2} } [/tex]
We evaluate both sides to ² to remove the square root:
[tex]25^{2} = 100 + 64 + h {}^{2} [/tex]
[tex]625 = 164 + h {}^{2} [/tex]
To find the value of h we have to do the square root, as it is to the ²:
[tex] \sqrt{625 - 124} = h[/tex]
[tex] \sqrt{501} = h = 22.4cm[/tex]
Ricardo changed $600 into pounds when the exchange rate was $1 = 0.60 pounds
He later changed all the pounds back into dollars when the exchange rate was $1 = 0.72 pounds
How many dollars did he receive ??
600 x 0.60 = 360 pounds
360 /0.72 = 500
He got $500
Help please due today!
Answer:
36.87 degrees
Step-by-step explanation:
Use the law of sines
sin(90)/70 = sin(x)/42
Multiply each side by 42
42 * sin(90)/70 = sin(x)
use a calculator to get 0.6
Use inverse sin to find angle sin^-1 = 0.6
The angle is approximately 36.87 degrees
Can someone please give me the (Answers) to this? ... please ...
Answer:
To be congruent at b. no. UV= VK,V=V,UW=KM.
To be congruent at C no. M=S,LM=ST,LK=TU.
The blueprint for Moreno's living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new blueprint? (The width is 8)
Need help on HS geometry
Answers:
321°Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]
[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]
[tex]\\ \tt\Rrightarrow 11x=33[/tex]
[tex]\\ \tt\Rrightarrow x=3[/tex]
m<YQR=16(3)-27=48-27=21°Saturn is about 1.427 x 10^12 miles from the sun. Light travels at approximately 3 x 10^8 miles/second. How long does it take for suns light to reach Saturn
Answer:
4,756.66 seconds or 1.321 hours
Here's how I got that:
- Simply use time formula and plug in what you know -
t = distance/speed
↓
1,427,000,000,000/300000000
↓
t = 4,756.66
~That's all folks~
-Siascon
How many match sticks will be in the 8th picture?