Answer:
f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]
Step-by-step explanation:
f' of tan(x) = sec²(x)
f' of csc(x) = -csc(x)cot(x)
General Power Rule: uⁿ = xuⁿ⁻¹ · u'
Step 1: Write equation
2tan³(x) + 5csc⁴(x)
Step 2: Rewrite
2(tan(x))³ + 5(csc(x))⁴
Step 3: Find derivative
d/dx 2(tan(x))³ + 5(csc(x))⁴
- General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)
- Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)
- Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)
- Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]
We are given : Rate for regular pay = $12 per hour.
Rate for over time = $12 and a half rate of $12, that is 12+ 12/2 =12+6= $18 per hour.
We need to find the total pay for 40 hours of regular time and 10 hours of overtime.
<em>Pay for 40 hours at the rate $12 per hour = 40 × 12 = $480.</em>
<em>Pay for 10 hours of overtime at the rate $18 per hour = 10 × 18 = $180. </em>
Total payment for 40 hours of regular time and 10 hours of overtime = 480 + 180=$660.
<h3>Therefore total pay or 40 hours of regular time and 10 hours of overtime is $660.</h3>
Answer:
25
Step-by-step explanation:
10÷1/4=25
So because it's an equilateral triangle, you can cut the triangle in half and make a right triangle with a hypotenuse of 32. The bottom of the triangle would be half of 32, which is 16, because you cut the triangle in half. Now you can use the pythagorean theorem to solve for the height.

The answer is whatever b is:
b =

So your answer is 27.713.
Lizzy's new neckalce cost 0.4 cents less than lucy's neckalce that cost 0.29. cents.How many cents did lizzy's neckalce cost.