In this problem, you will solve for the response of a "low pass filter" circuit element. Specifically, this element works by setting the rate at which a capacitor is charged. If a voltage signal V (t) is applied to the filter, the output voltage on the capacitor Vc(t) is defined by the following differential equation: dVc(t) dt = V (t) − Vc(t) RC (a) solve for Vc(t) given a square wave drive signal with a repetition period of T, and that takes on a value of −1 V for −T/2 < t < 0 and a value of 1 V for 0 < t < T/2. To make sure the equation is steady-state, make sure the relationship Vc(−T/2) = −Vc(0) = Vc(T/2) holds. (b) Represent Vc(t) as a Fourier sine-cosine series. (c) Comment on the waveform for when T > RC

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

we need to divide the number of toy dinosaurs, 156, by the number of brothers, 4:

in order to estimate, we can use compatible numbers:

156 ÷ 4

  ↓

160   ÷ 4 = 40        

the correct answer is a).