Exercise 1.3 Determine the following derivatives and simplify if possible
X
1. y(x) = sin Vx
2. y(x) = sin3 V
3. y(x) = sin Vx3
4. y(x) =
V sin3 Vx3
5. y(x) = cos2 V1 – x2 + cos V1 – x2
6. y(x) =
GA
7. y(x) = cot(In Vx) + cot(Vln x) + cot(In x)
8. y(x) = exln x + In(In x) + In () + In[ln (In x)]
х
2
= CSC
+ esc²
X+1​

Coiled springs ought to be very strong and stiff. si3n4 is a strong, stiff material. would you select this material for a spring? explain.

Ariver flows from north to south at 8 km/h. a boat is to cross this river from west to east at a speed of 20 km/h (speed of the boat with respect to the earth/ground). at what angle (in degrees) must the boat be pointed upstream such that it will proceed directly across the river (hint: find the speed of the boat with respect to water/river)? a 288 b. 21.8 c. 326 d. 30.2

Which of the following refers to refers to how well the control system responds to sudden changes in the system. a)-transient regulation b)- distributed regulation c)-constant regulation d)-steady-state regulation