⚘ <em>R</em><em>e</em><em>f</em><em>e</em><em>r</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>t</em><em>t</em><em>a</em><em>c</em><em>h</em><em>m</em><em>e</em><em>n</em><em>t</em><em>s</em><em>!</em><em>!</em><em>~</em>
Answer:
50 students
Step-by-step explanation:
20 + 30 = 50
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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<em>x</em> = amount invested at 8 %. Then 23 000 - <em>x</em> = amount invested at 9 %
Annual income (<em>I</em>) = interest at 8 % + interest at 9 %
<em>I</em> = 0.08<em>x</em> + 0.09(23 000 – <em>x</em>)
<em>I</em> = 0.08<em>x</em> + 2070 – 0.09<em>x</em>
<em>I</em> = 2070 – 0.01<em>x</em>