Answer:
1/3
Step-by-step explanation:
<span>first, we are going to define variables as the following:
a = 0
a = π/2
n = 4 rectangles
Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8
right endpoints :
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate
left endpoints:
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate
the reason because the actual estimate by integral as the following:
π/2
∫ 4cos(x) dx = 4
0</span>
<u>Answer </u><u>:</u><u>-</u>
Given inequality ,
- -5x +3y > 12
- 3y > 5x + 12
- y > 5/3x + 12/3
- y > 5/3x + 4
From the options ,
<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>
- y >1* 5 + 4
- y > 5 +4
- 9> 9 ( Not possible )
<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>
- y > 5/3*-5 + 4
- y > -8.3 + 4
- 5 > -3.7 ( Possible )
<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>
- y > 5 + 4
- -6 > 9 ( Not possible )
<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>
- y > -3.33 + 4
- -5 > -0.67 ( Possible )
<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>
- y > 3.33 + 4
- 8 > 7.77 ( possible )
<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>
- y > -10 +4
- 0 > -6 ( possible )
Answer:
f(x)=x-2
f(2)=2-2=0
f(3)=3-2=1
you only have attach the number to x
Answer:
d. 
e. ![x=\sqrt[3]{\dfrac{15}{4}}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B15%7D%7B4%7D%7D)
Step-by-step explanation:
I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).
I've used the product, quotient and power log laws.
Product: 
Quotient: 
Power: 