Find the period of the function y = sin(2x + 1.5). %3D 2 2 2л

Q: QUESTION 13 If y = sin?t+ tant, x=-1 – In(- cost) – e* - esinr, find the value of y' when t= 2+ Vze…

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Q: 5. The period of the function f(x) = 3 cos 5x is 13 2 3

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Q: R.1. Identify the amplitude and period. y = 2cos 4x

A: Given: The trigonometric function y=2cos4x, To determine: The amplitude and period of the function.

Q: L NOI Find the amplitude, period or phase shift. TL Find the phase shift of y = 3 + 2sin 5x + to the…

A: see 2nd step.

Q: B. Complete the table below Given Amplitude | Period Phase Shift Vertical Shift y = 2 cos(2r – 7)+2

A: Given: y=2cos(2x-π)+2

Q: Eveluae the indafinite intagal cos (i7/x") dx 32

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Q: Find x where 0 <x < T. 2 cos?x = 1 Enter the smaller answer first.

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Q: 43. What are the periods of these functions? (a) y = sin 20 (c) y = sin 20 + sin (b) y = sin

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Q: Give an example of a trig function with an amplitude of 2020 and a period of 37. Write answer as an…

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Q: 4. The period of the function y =-4 tan (-60) – 2 is А. В. С. D. 3 6. 3 6 B.

A: Period of tan(x) = π  and tan(-x) = -tan(x)

Q: The position of a particle moving along the x axis is given by s(t) =2 cos t + 5 sin t state the…

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Q: 2- 1- 3一寸

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Q: What is the value of b that will result in a period of 90° for y =a sinb(x-c)+d? (A) i (B) 5 (D) 4…

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Q: Find amplitude and period of function  y = 1 + 1/3 cos pi x

A: Given problem:- Find amplitude and period of function  y = 1 + 1/3 cos pi x

Q: THWI Find d?y /dx? for and cos

A: To find the d²y/dx²

Q: 2e'cos (t) d t In(x)

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Q: 36 What is the period of y= Acos 2x? (0) 2 (b) 1 () 27 (d) (e) None of the above

A: According to the guidelines we can not solve more than one question or more than three subparts. So…

Q: = - In(- cost) – e sinr, find the value of y' when t= 4 If "y=sin?t+ tant, x=

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Q: If the equation of motion of a particle is given by s = A Cos ( ω t+? ), the particle is said to…

A: a) The velocity of the particle at time t is ds/dt

Q: Find the exact Valve Sin (a-B); Sin a = for Cos B= 12 for B in Quadrant IV a m Quacront II and 73

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Q: Q1/ Find L{sin(at + b)}

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Q: Which of the following is equivalent to -dx 1+ cosx – sinx after appropriate half-angle substitution…

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Q: cos H = 0.05 %3D

A: Given cosH=0.05H=cos-1(0.05)=arccos(0.05)

Q: 4. What are the amplitude, frequency, period, and phase of the following sinusoid signal? s(t) = 3…

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Q: 10. Which of the following equation is an even function? A. y=x sec x B. y = cos x+ 1 C. y=sin x - 1…

A: Given That, A. y=xsecx B. y=cosx+1 C. y=sinx-1 D. y=tanx+2 We have to find which one is Even…

Q: 12. Based on the equation below, find the following pieces of information y = 6'cos3(0 – + 2…

A: Amplitude=|A|

Q: What is the value of b that will result in a period of 90° for y = a sin b(x-c)+d? 1 1 (A) (B) 2 (C)…

A: We will find the period.

Q: Consider solving -dx using a suitable trigonometric substitution. After performing substitution with…

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: nd the specified quantity. 7) Find the period of y = -5 sin 8x +

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Q: 7. The period of the equation of motion given by x(t) = 6 sin (4nt) is (a) T s (b) 2 s (c) s 4 (d)…

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Q: If y=tan(arcsec/x), then dy/dx is x- (A 2(x-1) X-1 B 2(х - 1) sec (arcsec/x) 2х sec2(arcsec/x) D E)…

A: Solution :

Q: H(x) = sin(esinh~1 *) %3D

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Q: 3. Complete the chart below, using the equation to determine the properties of the function. f(x) =…

A: f(x) = 3cos(2x-π) +4 We have to find period, Equation of the axis, phase shift and range of f(x)

Q: = kx³y? - ? %3D What is the value for k when DE is an exact equation? (2x* + sine(y)) dx -2 4 -4

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Q: The signal x(t) shows the following properties and its period is 3. So what is x(t)?

A: Given: ak=ak+2.ak= a-k∫-0.50.5x(t) dt = 1.∫12x(t) dt = 2. The period T = 3.

Q: :- cos (a - B); sina for a in Quadrant II and cosB = for ß in Quadrant III. 4. %3D 2/3

A: 30)

Q: 4b) Write a sine function that has an amplitude of 4, a midline of 3 and a period of T.

A: 4b. Consider the function y=4sin2x+3. Clearly, amplitude is 4.

Q: f(t) = mt + b+ A sin-

A: Given data:     The given price of the model is: f(t)=mt+b+Asin(πt/6). The given price on the first…

Q: 1 Which of the following is equivalent to -dx 1+ cosx+ sinx after appropriate half-angle…

A: Let's find.

Q: - ysec?x and y = 5 when x = 0, then y = etan x + 4 A в etan X + 5 5etan x D) tan x+ 5 E) tan x+ 5e*

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Q: 7. The period of the equation of motion given by x(t) = 6 sin (4t) is ( a) πs (b) 2 s (c)는s (d) 0.5…

A: Time period

Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: •0.5 5x+3 Evaluate dx. Give your answer in radian up to four decimal places. V1-x²

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Q: Identify the amplitude, period, horizontal shift, and phase. (Find these values using the methods…

A: y=sin2x+π⇒y=sin2x+π2⇒y=sin2x--π2+0 Now comparing with y=asinbx-c+d, we get a=1,  b=2,  c=-π2  &amp;…

Q: (X siny) dx tx+) cosydy= Solue the eqution

A: The given equation is: xsinydx+x2+1cosydy=0

Q: Find d-/dx? at the given point without eliminating the parameter. *=0+cos0 and y= 1+ sin® ; 0 = r/6…

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Q: 10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7 cos(x) + 13 а.…

A: The function f(x) is period  function of period T if f(x+T)=f(x) The period of the constant function…

Q: x One period of the cycloid 3(t-sint) y = 3(1- cost)

A: Arc length of the curve: - Consider a parametric curve (x(t), y(t)) with the parameters t∈[a,b]. As…

Q: Trace the curve r =1/2(sinꝋcos3ꝋ)

A: Given,            r =12sin(θ)cos3(θ)