For the first problem,
The definite integral from 0 to c is
[f(c) - f(0)] / (c - 0)
since the function is continuous in the interval 0 to c.
Since f(a) = f(b) = 1, then by the Mean Value Theorem, there is a point somewhere in the middle two values of x that f'(x) = 0 since the curve has a degree of more than 2.
Answer:
45
Step-by-step explanation:
KL- because triangle is a isosceles
(base angles are congruent)
Answer:
48.6 quart of fertilizer
Step-by-step explanation:
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Answer:
x = 4.5
Step-by-step explanation:
By geometric mean theorem:
![{3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2%7D%20%20%3D%202%20%5Ctimes%20x%20%5C%5C%20%20%5C%5C%209%20%3D%202x%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%204.5)
Answer:![\dfrac{11}{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B12%7D)
Step-by-step explanation:
Given that Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down.
The total distance he travelled will be the sum of distance he jogged and the distance he walked.
So,the total distance he travelled is
miles.
![](https://tex.z-dn.net/?f=)