Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
Mateo jogged 8 3/20 miles in the past 2 days.
Step-by-step explanation:
Given:-
Distance on Saturday = 3 3/4
Distance on Sunday = 4 2/5
Total distance = 3 3/4 + 4 2/5
= 15/4 + 22/5
= LCM of deniminators (20)
= 75/20 + 88/20
= (75 + 88)/20
= 163/20
= 8 3/20
Answer:
Answer (C) ⇒ He replaced the wrong term with its reciprocal in step 2
Answer (A) ⇒ How many 3/8 's in 48
Step-by-step explanation:
∵ The distance = 25 miles
∵ The time = 2/3 hour
∵ Average speed = distance ÷ time
∴ Average speed = 25 ÷ 2/3 ⇒ step 1 (he is √)
= 25 × 3/2 ⇒ step 2 (his 1st error 1/25 × 2/3)
= 75/2 miles/h
∵ How many 3/8 's are in 48 means:
48 ÷ 3/8 = 48 × 8/3 = 128
∴ Answer (A) is best modeled with a division expression
Answer:
B.
Step-by-step explanation:
