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zaharov [31]
3 years ago
8

How do you use the product rule to find the derivative of y=x2⋅sin(x)y=x^2*sin(x) ?

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
(f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)\\\\
y=x^2\sin x\\
y'=2x\cdot \sin x+x^2\cdot \cos x\\
y'=x(2 \sin x+x\cos x)
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What is the solution of the equation 6x-3 = -51?<br> А. -9<br> B. -8<br> с. 8<br> D. 9
laila [671]

Answer:

B. -8

Step-by-step explanation:

6x = -51 +3

6x = -48

x = -8

5 0
3 years ago
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The basketball team spends 20 minutes running laps and at least 15 minutes discussing plays. Practice lasts one hour and 45 minu
Allushta [10]

Answer:

x ≤ 75

Step-by-step explanation:

The computation of the inequality function is as follows:

Let us assume the remaining time left for other drills be x

Given that the team spends 20 minutes for running laps

And minimum of 15 minutes for discussing plays

Also practicing for last one hour and 45 minutes

Now as we know that

1 hour = 60 minutes

So total minutes would be

= 60 + 45

= 105 minutes

Total minutes spend by the team is

= 20 + 15

= 35 minutes

So now the remaining time left is

x ≤ 105 - 35

x ≤ 75

8 0
3 years ago
A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle
MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is <u>6√5 units</u>.

Learn more about the area of a sector at

brainly.com/question/22972014

#SPJ4

8 0
1 year ago
Write down the integer values that satisfy the inequality -5&lt;_x&lt;3
Naddik [55]

Answer:

(-4,-3,-2,-1,0,1,2)

Step-by-step explanation:

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2 years ago
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Answer:

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