The differentiable functions xxx and yyy are related by the following equation: \sin(y)=-xsin(y)=−5x sin, (, x, ), equals, minus, 5, x also, \dfrac{dy}{dt}=10 dt dy =10start fraction, d, y, divided by, d, t, end fraction, equals, 10. find \dfrac{dx}{dt} dt dx start fraction, d, x, divided by, d, t, end fraction when y=-\piy=−πy, equals, minus, pi.

Step-by-step explanation:

We are given that

We have to find the value of when

Differentiate w.r.t time

Using formula:

Substitute the values then we get

We know that

Therefore, we get

Hence,

if x decreases by 4 then y increases by 10

step-by-step explanation:

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.