Answer:
7x^16. Step-by-step solution in the attachment.
Answer:
D) 3 and 16
Step-by-step explanation:
A common multiple is the result of multiplicacion of two numbers
3x16= 48
Distribute and combine like-terms!
-4x + 12x - 2x - 2
6x - 2
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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There are a number of ways this can be done. One that is fairly simple is as follows.
Triangle ABC has base AC = 9 and height B to AC of 3 (found by counting squares). Thus its area is ∆ABC = (1/2)·9·3 = 13.5 square units.
Triangle ACF has base AC = 9 and height F to AC of 3, so will have the same area as triangle ABC, 13.5 square units.
Trapezoid CDEF has base CD of 6, base EF of 4 and height EF to CD of 6 (found by counting squares). Thus its area is CDEF = (1/2)(6 + 4)(6) = 30.
The total area of the entire figure is then
... ∆ABC + ∆ACF + CDEF = 13.5 + 13.5 + 30 = 57 square units.