Answer:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
Step-by-step explanation:
This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:
Given that resulting expression is a second order polynomial of the form , there are two real and distinct solutions. Roots of the expression are:
and .
Now, it is also required to determine which part of the interval is equal to a number greater than zero (positive). That is:
and .
Therefore, exists two sub-intervals: and . Besides, in each sub-interval. The definite integral of the region between the two curves over the x-axis is:
The area of the region between the two curves by integration over the x-axis is 9.9 square units.
As stated 1 mile equals to 1.6 km,
so do calculation to get the 6 km
1 mile = 1.6 km
Then try to divide the 6 km with 1 mile value in km which is 1.6 km so that we know exactly how many miles required to get 6 km
So the answer is 3.75 miles
To prove this
If 1 mile = 1.6,
Then,
3 miles = (1.6 x 3 ) which produce 4.8 km
0.75 mile = ( 0.75 x 1.6 ) equals to 1.2 km
4.8km + 1.2km = 6km , which proves that
3 miles + 0.75 mile = 6km
Answer:
Step-by-step explanation:
i Don't now how to explain the answer
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)