Answer: f'(x) = - cos^2(sin(x^2))
Step-by-step explanation:
Derivative of:
f(x) = Sin^2(cos(x^2))
f'(x) = cos^2(-sin(x^2)
f'(x) = - cos^2(sin(x^2))
Comment
You need to set up a direct proportion. You have to relate Keith and Jared's ages to the ratio you were given.
Givens
Keith is 24
Keith / Jared = 3/5
J = Jared
Solution
3/5 = 24 / J Cross multiply
3*J = 5 * 24 Combine factors on the right.
3J = 120 Divide by 3
J = 120 / 3
J = 40
Conclusion
Jared is 40 years old.

Here I have included 3 methods: Differentiating, Integrating and factorize
Differentiating:




Integrating:


Factorise:

Answer:
A) SSS
Step-by-step explanation:
We have,
Since the sides are in proportion, the two triangles are similar by the SSS test.
Answer: The answer is 28%.
Step-by-step explanation: Given that the volume of construction work was increased by 60% and the productivity of labour increased by 25% only. We are to find the percentage by which the number of workers must increase to complete the in time.
Let 'V' be the volume of construction work, 'p' be the productivity of labour, 'n' be the number of workers, and 'x' be the percentage by which the number of workers must increase.
According to the question, we have

Dividing the second equation by the first equation, we have
.
Thus, the required percentage of workers that must increase in order to complete the work in time as scheduled originally is 28%.