Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
2cos2x
Step-by-step explanation:
Using the Chain rule
[tex]\frac{d}{dx}[/tex] (sin2x)
= cos2x × [tex]\frac{d}{dx}[/tex] (2x)
= cos2x × 2
= 2cos2x
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
(4+14) divided by 9 ???????
Answer:
2
Step-by-step explanation:
4+14=18
18/9=2
pPLEASE HELP ME, I NEED HELP I CANT UNDERSTAND I COULD JUST GUESS BUT ITS IMPORTANT PLS
Answer: where’s the question??
what is the midpoint of the segment with endpoints (2,-1) and (-3,4)
Let M = midpoint of the line segment.
M = [(2 - 3)/2, (-1 + 4)/2]
M = (-1/2, 3/2)
Done.
factor 6 out of [tex]6x^2[/tex] - 18
Answer:
See below
Step-by-step explanation:
6x² - 18 = 6*x² - 6*3 = 6(x² - 3)[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]
Take 6 common in order to factor out6x^2=6(x^2)18=6(3)[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]
Rachel finished 3/4of the race in 6 hours. How long was the entire race?
Answer:
it will take a total of 8 hours to finish the race
Step-by-step explanation:
6h÷3/4=8
10 + (-3 3/8)
Please explain of how i can do this
Answer:
53/8 or 6.625
Step-by-step explanation:
10 + (-3 3/8)
Convert everything to a fraction having the same denominator.
-3 3/8
-24/3 - 3/8
-27/8
10
80/8
Combine: (80/8 - 27/8) = 53/8 or 6.625
Write 24 as a product of prime factors.
Answer:
hese prime numbers are 2,3,5,7,11,13,17. To find the prime factorisation of 24, check if 2 divides into 24. It does, because 24=12*2
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
I assume the problem is to graph the lines. The easiest is to pick two values of x and calculate y for each line. For example:
21. y = -4x + 5 I'll randomly choose vales of 1 and 2 for x and calculate y:
(1, 1) and (2, -3)
Now mark those two points and draw a straight line through them. It is an equation of a straight line, so we know this will be correct.
22. Same process:
(1,6) and (2,7)
23. (1,0) and (2,-3)
24. (1,-4) and (2,-6)
=====================
These are shown in the attachment. What's also shown is the second method of producing the lines: Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.
HELPP EASY MATH FOR Y GUYS IM 5 GRADE
Answer:
Step-by-step explanation:
If (x +4) + (y - 3) = -1 -i, what are the values of x and y?
Answer:
x=y-2
y=x-2
Step-by-step explanation:
You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start
Answer:
(-3, -4)
Step-by-step explanation:
(-5, -5)
2 units right
(-3, -5)
1 unit up
(-3, -4)
just go backwards
Answer:
(-3, -4)
Step-by-step explanation:
The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.
Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mind. Josiah works a job where he earns $9per hour. If h equals number of hours, write an equation that would help determine how many hours Josiah has to work in order to buy the present.
Answer:
Step-by-step explanation:
9h + 24 = 60
PLEASE HELP. I'LL GIVE BRAINLIEST.
Find the missing value to complete the square. So what is the value of the question mark that would make the equation true.
x² + 8x + ?
Answer:
16
Step-by-step explanation:
(x+4)(x+4)
Answer:
The answer is 16.
Step-by-step explanation:
Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.
Let's see this!
An easy way to complete the square if you have the constants for x2 and
But not the non-variable number is to divide the x constant, and then square it.
Example:
[tex]\frac{8x}{2} \\\\4^2=16[/tex]
The last number must be 16. Let's check it.
[tex](x+4)^2=x^2+8x+16[/tex]
Will give BRAINLIEST
Answer:
Quadrant 1 (1,5)
Step-by-step explanation:
The upper right quadrant is quadrant 1 and the quadrants go in a counter clockwise direction.
Point T is in the upper right which is quadrant 1
Find the slope of the line that contains (−5,4) and (2,4).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Answer:its a zero slope or you can do x2-x1 and y2-y1 and if its an even fraction try simplifying it .
Step-by-step explanation:
The slope of the coordinates is 0.
what is slope?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.
So, Slope = m = tan θ
slope = (y2 - y1)/(x2 - x1)
given coordinates:
(−5,4) and (2,4)
So, slope = (y2 - y1)/ (x2 - x1)
slope = (4- 4)/ (2 - (-5))
slope = 0 / 7
slope = 0
Hence, the slope of the coordinates is 0.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.
Answer:
3.416 x 10^(" + * + 1)
Step-by-step explanation:
The exponents of (5.6 x 10") (6.1 x 10* ) seem incorrect. Whatever they are, do the following:
1) multiply 5.6 times 6.1. Result = 34.16
Add the two exponents: (" + *)
The result is 34.16 x 10^(" + *)
Then move the decimal point one to the left and add 1 to the 10 exponent:
3.416 x 10^(" + * + 1)
It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?
Answer:
6.24
Step-by-step explanation:
13 * .48
The pumpkin patch is open ever day. If it sell 2,750 pounds of pumpkins each day, about how many pounds does it sell in 7 days?
Answer:
19,250 I think.
Step-by-step explanation:
2,750 x 7 19,250
1 3/8+3 1/3 please
Answer
Answer:
4 17/24
Step-by-step explanation:
3/8=9/24
1/3=8/24
8+9=17
sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.
Step-by-step explanation:
this is the right answer please mark me as Brainliest
hope this helps
A $500 prize is shared equally between Maxwell and
Lino.
What fraction of the money does Maxwell get?
Answer:
1/2 50% $250
Step-by-step explanation:
Answer:
250$, or in fraction form, 1/2
Step-by-step explanation:
There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2
Write an equation for the nth term of the arithmetic sequence. Then find 230 -
-9, -6, -3,0, ...
=
a30
Helpquick
Answer:
hope it helps you ✨✨✨✨✨✨
what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
How many solutions does this equation have?
-2(t- 4) = 10 - 27
no solution
one solution
infinite solutions
two solutions
Answer:
t = 12.5
Step-by-step explanation:
Assuming you typed the equation correctly:
-2(t-4) = 10 - 27
-2(t-4) = -17
t-4 = 8.5
t = 12.5
So, there's only one solution
What is the volume of a cube that has a height of 10 inches?
10 inches
(3)
1,000 cubic
inches
40 cubic
inches
100 cubic
inches
600 cubic
inches
Daha
Step-by-step explanation:
since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.
the volume is therefore
10 × 10 × 10 = 1000 in³
1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.
Please help me with my Geometry.
Answer:
4 feet
Step-by-step explanation:
I dont know if its right but i hope it is!
Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?
The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.
40% of _______ is 16
Answer:
40
Step-by-step explanation:
40/100=0.4
0.4 x 40= 16
so 40% of 40 is 16
Answer:
,40
Step-by-step explanation:
40% of 40 is equal to 16
A family eats at a restaurant.The bill is 120.The family leaves a tip and spends 140.
I’m not sure what you’re asking here
Answer:
the tip is $20 and the food costs $120
Step-by-step explanation:
it says that the bill is 120
when family leaves they spend 140 total
140-120=20
$20 tip