All categories

3 years ago

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

a = 1 and b = 2

Step-by-step explanation:

Using the Quotient Rule>

d/dx[(sin x)/(2+cos x) ]

= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2

= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2

But cos^2x + sin^2x = 1 so we have:

(1 + 2 cos x) / (2 + cos x)^2

- so a = 1 and b = 2.

You might be interested in

Urgent, please i will give brainliest

Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". So, adjacent = 2 and opposite = 3.

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$

First answer choice is right.

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. So the value of tan is the reciprocal of the value of cot. We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$

Third answer is right.

3 0

3 years ago

Read 2 more answers

Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions. -w − z = z − w = w − z =

liq [111]

Answer:

-w − z = <4, -7>

z − w = <6, 1>

w − z = <-6, -1>

Step-by-step explanation:

6 0

1 year ago

Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile

Anna007 [38]

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

8 0

2 years ago

Use the relationship between the angles in the

erastovalidia [21]

The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.

The answer would be x = 180 - (67 + 52)

5 0

2 years ago

Suppose that PR=47. Solve for x and find the lengths of PQ, and QR.

Troyanec [42]

Answer:

×=7, pq=27, qr=20.

Step-by-step explanation:

(4x-1)+(3x-1)=47 therefore 7x-2=47 or 7x=49 and x=7, pq=4x-1=27, qr=3x-1=20.

6 0

3 years ago

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.​

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.