The Given integral is :
∫x²√x³ + 37 dx ; u = x³ + 37
Answer:
2/9(x³ + 37)^3/2 + C
Step-by-step explanation:
∫x²√x³ + 37 dx ; u = x³ + 37
∫x²√u dx
Since u = x³ + 37
Differentiate u with respect to x
du/dx = 3x²
du = 3x²dx
dx = du / 3x²
∫x²√u dx = ∫x²√u du/3x²
1/3x²∫x²√u du
1/3 ∫ √u du
Integrating √u with respect to u
1/3 ∫ u^1/2 du
1/3 [u^(1/2+1) / 1/2 + 1] + C
1/3 [u^3/2 / 3/2] + C
1/3 u^3/2 * 2/3 + C
1/3*2/3 u^3/2 + C
2/9 u^3/2
u = x³ + 37
2/9(x³ + 37)^3/2 + C
A^2 + b^2 = c^2
40^2 + x^2 = 48^2
1,600 + x^2 = 2,304
-1,600 -1,600
x^2 = 704
(square both)
x = 26.53....
So the mattress is about 26.5 inches off the ground.
Hope this helps!
Answer: A (-2, 3)
Step-by-step explanation:
1. To know which oredered pairs does not lie on the graph, you must substitute the x-coordinate of each one of thm into the function and if you obtain the y-coordinate shown in that ordered pair, then that point lies on the graph.
2. Therefore, you have:
A. x=-2
(It does not lie on the graph).
B. x=--1
(It lies on the graph).
C. x=3
(It lies on the graph).
D. x=4
(It lies on the graph).
Therefore, the answer is the option A.
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Answer:Brian got 1.75 lbs of rice per dollar.
Step-by-step explanation: easy way to do these problems is just dividing!! 7 divided by 4 is 1.75. How to double check? Just simply times 1.75 by 4 and you’ll get 7:)