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cmcdonnell6945
31.07.2019 •
Mathematics
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
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Ответ:
Answer is![f(1.01)=0.91](/tpl/images/0155/9080/8cd62.png)
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
Ответ:
————
x+2