Evaluate the following integrals: a) fall spaces (r2 + r. a+ a2)o3 (r- a) d-e, where a is a fixed vector, a is its magnitude, and the integral is over all space.
b) fv lr- bl 283 (5r) d-e, where V is a cube of side 2, centered on the origin, and b=4y+3Z.
c) fv [r 4 + r 2 (r. c)+ c4] o3 (r- c) d-e, where V is a sphere of radius 6 about the origin, c = 5 i: + 3 y + 2 z, and c is its magnitude.
d) fv r · (d- r)o3 (e- r) d-e, where d = (1, 2, 3), e = (3, 2, 1), and V is a sphere of radius 1.5 centered at (2, 2, 2).

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

- click here to get an answer to your question ✍ 75 i will mark one of the angles formed by two

step-by-step explanation: