The goal of this activity is to see if you are comfortable with the derivative of trigonometric functions. Consider the following data: A steel ball is rolling along a 20-inch long straight track. After t seconds have passed, its distance from the midpoint of the track is measured in inches and it is given by d(t) = 3 sin(t). Think of the track as aligned from left to right. Positive distances mean the ball is to the right of the center; negative distances mean the ball is to the left of the center. Find a formula for the velocity of the ball after t seconds. Ov=3sin(t) ○v = 3 cos(t) Ov=-3 sin(t) Ov=-3 cos(t) What is the physical interpretation for a positive velocity? Select all options that apply. O The ball is moving to the left O The ball is speeding up. O The ball is moving to the right O The ball is slowing down.

Q: #4. Show that equation | 2-1-2|=1 Can be written as 121²2 Re Z-2 Im Z +1=0.

A: Given equation  z-1-i  =1. Show that: z2 -2 Rez -2 Imz +1=0.

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Q: Questron No 02:- (a) Reduce the quantity (1-i)(2-i)(3-¿) to real number. (6) let f be the map…

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A: Given,Mean μ = 8Standard deviation σ =1.7Sample size n = 16

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A: a). z1-z = 1 - 5i⇒ z = (1-5i)(1-z)⇒ z = 1 - z - 5i + 5iz⇒ (2 - 5i)z = 1-5i⇒ z = 1-5i2-5i

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A: To find the area

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Q: Number 8

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Q: Question 5: The roots of the equation 1 4 20 1 -2 = 0 = 0 are 5x² %D 1 2x

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Q: Evaluate. Show all your work and make sure answer is in simplest form. 1 dx (9+16x*) 9+16x² )

A: ∫tn dt =tn+1n+1+C ∫cos(at) dt =1asin(at)+C

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