5x^4
.........................
The sum of the partial fraction is
<h3>How to express as partial fractions?</h3>
The expression is given as:
As a partial fraction, we have:
Take the LCM
This gives
2x + 4 = A(x + 2)(x -4) +Bx(x -4) + Cx(x + 2)
Expand
Further expand
Collect like terms
By comparing the coefficients, we have:
A + B + C = 0
-2A - 4B + 2C = 2
-8A = 4
Divide both sides of -8A = 4 by -8
Substitute in the other equations
1 - 4B + 2C = 2
- 4B + 2C = 1
Substitute in - 4B + 2C = 1
- 4B + 1 = 1
Subtract 1 from both sides
-4B = 0
This gives
B = 0
Substitute B = 0 in
So, we have:
, B = 0 and
The equation becomes
Evaluate
Hence, the sum of the partial fraction is
Read more about partial fraction at:
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This is a 3-4-5 triangle.
Remember,
SOH-CAH-TOA
S(ine) = O(pposite)/H(ypotenuse)
C(osine) = A(djacent)/H(ypotenuse)
T(angent) = O(pposite)/A(djacent)
In Cosine, the adjacent = 3, and the Hypotenuse = 5
Hypotenuse is the longest side.
3,4,5 is the triangle that fits inside, therefore, the Opposite is 4, and Adjacent is 3
T(angent) = O(pposite)/A(djacent)
Plug in the numbers
T = 4/3
tan = 4/3 is your answer
hope this helps
Answer:
2nd degree
Step-by-step explanation:
Answer:
Option a)
Step-by-step explanation:
The given formula seems to represent the volume of right circular cone. The correct formula is:
We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below: