Consider the curve given by x^2+ sin(xy)+3y^2 = c , where c is a constant. the point (1, 1) lies on this curve. use the tangent line approximation to approximate the y-coordinate when x = 1.01. a. 0.996 b. 1 c. 1.004 d. cannot be determined e. 1.388

Answer is

Step-by-step explanation:

Since (1,1) lies on the curve it must satisfy it hence

Now tangent line approximation of is given by

Applying values we get

Now differentiating we get

Solving for we get

Applying values we get

Using all the values we have obtained we get

i think c. but don't trust it.

step-by-step explanation: