Answer:
a = 3
Step-by-step explanation:
Factorize (x+5)(x-4)(x+2)
(x+5)(x-4)(x+2)
= (x²-4x+5x-20)(x+2)
= (x²+x-20)(x+2)
= (x³+2x²+x²+2x-20x-40)
= x³+3x²-18x -40
Compare with x^3+ax^2
3x² = ax²
3 = a
Rearrange
a = 3
Hence the value of a that makes the expressions identical is 3
The radius is half of the diameter, and half of 9 is 4.5. That is your answer. Hope this helps! Have a nice night.
I'll assume you're supposed to compute the line integral of
over the given path
. By the fundamental theorem of calculus,

so evaluating the integral is as simple as evaluting
at the endpoints of
. But first we need to determine
given its gradient.
We have

Differentiating with respect to
gives

and we end up with

for some constant
. Then the value of the line integral is
.
Answer:
3
Step-by-step explanation:
divide the top number by the bottom to always find the constant of proportionality :D
Answer: 540.00
Step-by-step explanation: