If y = 2x^3 - 4x and dx/dt = 4, find dy/dt when x = 1. give only the numerical answer. for example, if dy/dt=3, type only 3.

dy/dt = 8    

Step-by-step explanation:

y = 2x^3 -4x

dy/dt = 2 * 3x^2 dx/dt -4 dx/dt

dy/dt = 6x^2 dx/dt - 4 dx/dt

substitute dx/dt =4 and x=1

dy/dt = 6 * (1)^2 * 4 - 4(4)

dy/dt = 24-16

dy/dt = 8

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.