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,

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: