Answer:
( x +4)^2 + ( y-7)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
( x-h)^2 + ( y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -4)^2 + ( y-7)^2 = 6^2
( x +4)^2 + ( y-7)^2 = 36
<span>The question is asking us to write a function that represents the total number of words ( y ) that Mrs. Garcia can type in x minutes. Then we have to calculate how many words she can type in 49 minutes. In 1 minute she can type 70 words, in 2 minutes 140 etc. Answer: the function is: y = 70 * x. In 49 minutes ( x = 49 ) : y = 49 * 70 = 3,430. In 49 minutes she would type 3,430 words. </span>
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:
Since dx/dt=−2, we have that:
When y = π/4, x is given by:
xcos(y) = 2.
Hence:
Since cot(pi/4) = 1, we have that:
Which means that option a is correct.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer:
<h2><u><em>
12</em></u></h2>
Step-by-step explanation:
0.5 = 1/2
6 ÷ 0.5 = 12
or
6 : 1/2 =
6 × 2 = 12