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Anni [7]
3 years ago
10

Differentiate with respect to t.. y = b cos t + t2 sin t

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0
We are given with the expression y<span> = b cos t + t2 sin t and is asked to differentiate the function in terms of t. Based in the power law and law of products, we apply these to the given expresssion. the derivative is y' = -b sin t + t^2 * (cos t) + sin t * 2t. This is equal to  </span>y' = sin t (-b +2t) + t^2 cos t.
Leni [432]3 years ago
6 0

Answer:

\frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

Step-by-step explanation:

Given : Equation y=b\cos t+t^2\sin t

To find : Differentiate with respect to t ?

Solution :

Equation y=b\cos t+t^2\sin t

Differentiate with respect to t,

\frac{dy}{dt}=\frac{d(b\cos t+t^2\sin t)}{dt}

\frac{dy}{dt}=\frac{d(b\cos t)}{dt}+\frac{d(t^2\sin t)}{dt}

We know, \frac{d(\cos x)}{dx}=-\sin x

Applying product rule, \frac{d}{dy}(u\cdot v) =u'v+v'u

\frac{dy}{dt}=-b\sin t+\frac{d(t^2)}{dt}\times \sin t+\frac{d(\sin t)}{dt}\times t^2

\frac{dy}{dt}=-b\sin t+2t\times \sin t+\cos t\times t^2

\frac{dy}{dt}=-b\sin t+2t\sin t+t^2\cos t

\frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

Therefore, \frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

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Hitman42 [59]

Subtract 3/4x from both sides

1/3x-4-3/4x= 3/4x+1-3/4x

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Add 4 to both sides

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Multiply both sides by 12/(-5)

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I hope that's help.

3 0
2 years ago
What is 2(8x-3) -4(3x-5)=19
vladimir1956 [14]

Answer:

5/4

Step-by-step explanation:

2(8x-3)-4(3x-5)=19

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7 0
3 years ago
For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent ev
Nat2105 [25]

Answer:

Let's denote:

The event of driving while using a cell phone: A

The event of having a traffic accident: B

The event of driving while using a cell phone and having a traffic accident:  A⋂B

P(A) = 11% = 0.11

P(B) = 5.26% = 0.526

P(A⋂B) = 28% = 0.28

If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:

P(A) x P(B) = P(A⋂B)

Let's check:

P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28

=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)

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Brainliest). The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The s
CaHeK987 [17]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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7nadin3 [17]
 the answer is A. I think
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3 years ago
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