Answer:
Step-by-step explanation:
Adding and Subtracting 1 to the Numerator
Dividing Numerator seperately by 
Here integral of 1 is x +c1 (where c1 is constant of integration
----------------------------------(1)
We apply method of partial fractions to perform the integral
= 
------------------------------------------(2)
1 = 
-------------------------(3)
Substitute x= 1 , -1 , i in equation (3)
1 = A(1+1)(1+1)
A = 
1 = B(-1-1)(1+1)
B = 
1 = C(i-1)(i+1)
C = 
Substituting A, B, C in equation (2)
= 
On integration
Here 
= 
- 
- 
+ c2---------------------------------------(4)
Substitute equation (4) back in equation (1) we get
Here c1 + c2 can be added to another and written as c
Therefore,
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)
Answer:
102
Step-by-step explanation:
it is an isosceles triangle as two sides are equal i.e 3.3 so angles opposite to equal sides are also equal so 39 plus 39 plus x = 180°
78 plus x =180
x=180-78
x=102°
hope it helps
Answer:
32
Step-by-step explanation:
You need to work backwards to solve this equation!
9 - 17 = -8
w / -4 = -8
32 / -4 = -8
Which means that w = 32
Divide them and then multiply
