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Neko [114]
3 years ago
6

Find an equation of the tangent line to the graph of the function f(x) = 2sinx at the point where x = pi/3.

Mathematics
1 answer:
BigorU [14]3 years ago
3 0
The equation of the tangent line of f(x) is given by y = f'(x)x + c
f(x) = 2sin x
f'(x) = 2cos x

At x = pi/3
f'(pi/3) = 2 cos(pi/3) = 1
f(pi/3) = 2 sin(pi/3) = √3
√3 = 1(π/3) + c
c = √3 - π/3

Therefore, required equation is
y = x + √3 - π/3
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a plane took 3 hours and 33 minutes to finish a journey. if the distance of the journey was 2840 miles, at what average speed di
likoan [24]

Answer:

The average speed of the plain was 800 miles/h.

Step-by-step explanation:

To solve this problem we first need to convert the time the tain took to finish the journey to hours. To do that we will divide the part that is in minutes by 60 and sum to the part that is in hours, we have:

time = 3 + 33/60 = 3 + 0.55 = 3.55 hours

The average speed is given by the following formula:

average speed = distance/time

average speed = 2840/3.55 = 800 miles/h

The average speed of the plain was 800 miles/h.

4 0
2 years ago
A cubic function with roots at 2, 0 and 3 containing the point at (5,-6)
natulia [17]

Answer:

Cubic equations and the nature of their roots

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5 0
2 years ago
Mr. Rodriguez is packing bags of snacks for his children's lunchboxes. If he has 20 blueberries and 30 grapes, what is
amm1812

Answer:

10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help with these two questions !
Gnesinka [82]
Problem 1

The portion from t = 0 to t = 5 represents going downhill, which is a total duration of 5 seconds. This is because the speed is going up (the y values are increasing) as you move from right to left for this interval. It looks like you're going uphill here, but keep in mind that the y axis is not position. Instead, the y axis represents speed. 

Answer: 5 seconds

============================================================

Problem 2

You have the correct table. Nice job. Don't forget to show your work if your teacher requires it.

============================================================

Problem 3

f(x) = x*|-2|^x
f(3) = 3*|-2|^3 ... replace every x with 3
f(3) = 3*(2)^3
f(3) = 3*8
f(3) = 24

The input is x = 3 which leads to the output y = 24
The ordered pair (x,y) = (3,24) is on the function curve

Answer: 24

4 0
3 years ago
Find the magnitude of the vector (6,-4)
otez555 [7]
√52 square root of 52, 6*6=36 -4*-4=16 add them together and then square root that number
8 0
2 years ago
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