100 nickels 150 dimes 250 quarters

**Step-by-step explanation:**

Trust me

To find the derivative, you must use the chain rule.

If u=x^3+2x:

dy/dx=(dy/du)(du/dx)

dy/du=d/du(e^u)=e^u=e^(x^3 + 2x)

du/dx =d/dx (x^3+2x) = 3x^2 + 2

So dy/dx=

e^(x^3+2x) * (3x^2+ 2)

**Answer:**

261763

**Step-by-step explanation:**

599*437

=261763

**Answer:**

12

**Step-by-step explanation:**

96/8 = 12

De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i

and that is the answer.

For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

And the answer is -32 -32 √3 i

Summary:

1) -243/√2 + 243/√2 i

2)-32 -32 √3 i