Answer:

Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a) 
b) 
<u><em>Step(ii):-</em></u>
Differentiating equation (i) with respective to 'x'
<em>First apply formula </em>
<em></em>
<em>Now we will apply formula </em>


<em>Again apply formula </em>
<em></em>


we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ

<u><em>Final answer:-</em></u>

Answer:
Michael needs to purchase 1 5/8 feet more of metal flashing.
Step-by-step explanation:
To have the same denominator in both fractions, you can multiply 4 by 2. This will turn out to be 8, resulting in 8 being our common denominator. To achieve this, multiply:
<u>7</u> x <u>2</u> = <u>14</u> or 1 6/8
4 2 8
We next add both fractions together, resulting in:
3 1/8 + 1 6/8 = 4 7/8
The fraction 6 1/2 can also be expressed as 6 4/8, so to find out how much metal Michael still needs to purchase, subtract 4 7/8 from 6 4/8.
Answer:
13, 15, 17
Step-by-step explanation:
If we let the smallest of these odd integers be "x"
then the next one is "x + 2"
and next one is "x + 4"
We can write an equation from the word problem:
x + x+2 + x + 4 = 2x + 19
let's find x, the smallest, and then find the other 2:

The next one is 15, and next one is 17
The three consecutive odd integers are 13, 15, 17