Answer: 1,2 and 4
Step-by-step explanation:
factors of 12 are : 1,2,3,4,6,12
factors of 28 are :1,2,4,7,14,28
commom factors are= 1,2,4
Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
Answer:
The volume of a cylinder is
.
Step-by-step explanation:
We have,
Height of cylinder, h = 7 cm
Diameter of cylinder, d = 18 cm
Radius, r = 9 cm
It is required to find volume of cylinder. The formula of the volume of cylinder is given by :

So, the volume of a cylinder is
.
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- Write the number in exponential form with the base of 3
- Simplify the expression by multiplying exponents
- Evaluate the power
- Calculate the product
- Use the commutative property to reorder the terms
- Evaluate the power
- And, We are done solving!!~