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Answer:
6) 7.85 7) 32.97
Step-by-step explanation:
6) p= 3.14×(5/2)
p= 7.85
7) p= 3.14×10×5
p= 32.97
Take x-2 and insert it into 2x^2 + 3x-2 where the x is located
2x^2 + 3x-2
2(x-2)^2 + 3(x-2)-2
Now work out 2(x-2)^2 + 3(x-2)-2 also follow PEMDAS
2(x-2)^2 + 3(x-2)-2
Since (x-2)^2 is an Exponent, lets work with that first and expand (x-2)^2.
(x-2)^2
(x -2)(x-2)
x^2 -4x + 4
Now Multiply that by 2 because we have that in 2(x-2)^2
(x-2)^2 = x^2 -4x + 4
2(x-2)^2 = 2(x^2 -4x + 4)
2(x^2 -4x + 4) = 2x^2 - 8x + 8
2x^2 - 8x + 8
Now that 2(x-2)^2 is done lets move on to 3(x-2).
Use the distributive property and distribute the 3
3(x-2) = 3x - 6
All that is left is the -2
Now lets put it all together
2(x-2)^2 + 3(x-2)-2
2x^2 - 8x + 8 + 3x - 6 - 2
Now combine all our like terms
2x^2 - 8x + 8 + 3x - 6 - 2
Combine: 2x^2 = 2x^2
Combine: -8x + 3x = -5x
Combine: 8 - 6 - 2 = 0
So all we have left is
2x^2 - 5x
Answer:
Because the 
The integral converges to 
Step-by-step explanation:
For this case we want to find the following integral:
And we can solve the integral on this way:
And if we evaluate the integral using the fundamental theorem of calculus we got:
Because the
The integral converges to
Answer:
j = -8
Step-by-step explanation:
-13j - 20 = -8j + 20
Add 13 j to each side
-13j+13j - 20 = -8j+13j + 20
-20 = 5j+20
subtract 20 from each side
-20-20 = 5j +20-20
-40 = 5j
Divide by 5
-40/5 = =5j/5
-8 =j
