This question is designed to be answered without a calculator. If dy/dx = 2x - (2^x) (ln2), what is the particular solution given that y = –2 when x = 0?

y = x² – 2^x
y = x² – 2^x – 1
y = x² – (2^x)(ln 2)
y = x² – ((2^x) – 1)(ln 2) – 2

step-by-step explanation:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi