On your own, verify that the indicated expression is an implicit solution of the given first-order differential equation. dX/dt= (X − 1)(1 − 2X); ln 2X − 1/X − 1= t
Which of the following is an explicit solutionX = ϕ(t)?
a. X =
et − 1
et − 2
b. X =
et − 1
et + 2
c. X =
X = et
X = e2t
d. X =
et + 1
2 − et

Enter numbers to write 0.000328 0.000328 in scientific notation. 1 1 0.000328=3.28 × 0 . 000328 = 3 . 28 × =3.28×10 = 3 . 28 × 10

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.

Oliver had $50 on the day before his birthday. after he recived some money for his birthday , he had $75. write and solve eqaution to find how much money oliver received for his birthday. x+50=75