Consider the function f(x)=2(cos(x−π2)+1). Determine its amplitude, period, and midline.   Enter the exact answers. Amplitude A: = Period: P = midline: y =

Q: Differentiate the following functions with respect to ?; (i) ?= 4x^2 + 5?^3 (ii) ?= ?^2 + cos ?…

A: we have to differentiate all given problem with respect to 'x' (i) Given, y=4x2+5x3 differentiate…

Q: Given pair of functions is (sin3x,4sin3x) O a. Linearly Independent O b. Linear O c. Nonlinear O d.…

A: The pair of  differentiable function is linearly dependent if the  Wronskian is zero and is linearly…

Q: T For y = 5 cos ( 4x 3 - its amplitude is its period is its horizontal shift is

A: Given  y= 5cos(4x-π/3)  We have to find its  1) Amplitude 2) Period  3) horizontal shift

Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (,0*? Y = 0 A B…

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Q: Which are the amplitude and period of the function w(x) = sin. TX ? F amplitude 1 period = 1 2' H…

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Q: Find d2y/dx2 for the following functions: b) y = cos*(sec? 3x) 4 = COS

A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

Q: 9x Differentiate y = sec sec(; COS a

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Q: cos-1(2 x2)

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Q: Find of the following functions. dx (a) y = sec(6a?) (b)y = sinbx+ cos5x (c) y = cot-'(v6 – x²)

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Q: For the function f(x) = 3 cos(2x + 7), a. The period is: b. The amplitude is: c. The phase shift is:

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Q: findd y = (cos(x))*®s)

A: we have to find dy/dx

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: .Is f (x) = x sinx a periodic function ? %3D

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Q: Graph the curve described by the function, indicating the positive orientation. r(t) = (2 cos t)i +…

A: The given function is- r(t) = (2cos t)i + 3j + (2sin t)k, for 0 ≤ t ≤ 2π

Q: Rewrite f(x) = 5 sin(3x) – 2cos (3x) in the form A sin (Bx + C). Round your final angle to two…

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Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

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Q: 17/3 cos (t)h(sinct)) dx

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Q: Ly = Ce* + C2 cos x + C3 sinx

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Q: Consider the function given by y = cos(bx) on the interval (0, 2). (a) Sketch the graph of y =…

A: Introduction: The cosine function is a significant trigonometric function. It is a periodic function…

Q: tan x- 2x°y = c 3

A:

Q: Differentiate the following function. y= cos 14x

A: We will find the solution in the following step

Q: find the derivative d/du 1/(1+cos2(u))1/2

A: given:    ddu(11+cos2u)

Q: What is the amplitude of the function y =- cosx? o4% O2n Previous

A: What is the amplitude

Q: Is the function A cos (ka - wt = psi) a function of the operators ^ E and ^ T?

A: yes this is true

Q: Find the period and amplitude of the following functions : amplitude, lal Period 1. y= 3sin 2x 3 2x…

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Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

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Q: Q2/Find the length of the curve r = sine + cose between

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Q: Express the function f in terms of the unit step function: sin(2t) 0st 2n.

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Q: y = In tan(x – A) +B

A: Some Important Formulas 1. ddxtanx = sec2x2. ddxsin-1x = 11-x23. sec2x = tan2x +1

Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

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Q: Use this equation to find dy/dx. 4y cos(x) = x² + y2

A: We will differentiate  equation with respect to X.

Q: T For y 10 cos ( 10x 4 - its amplitude is its period is its phase shift is

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Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: Use the tangent equation. tollowing equation to find the approximation at Co,0): fCX.y)e Jy+ cos cx)…

A: The given function is: f(x,y)=y+cos2x

Q: Express f(x) = 2cos3x + 2sin3x to the form f(x)= a cos(bx+c) and determine the amplitude, period,…

A: Here we have to express f(x)=2cos3x+2sin3x to the form f(x)=a cos(bx+c) and also determine the…

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: Let a function y(x) be given implicitly by the formula: y° - 3xy2 +y cos(x) – x = 10. %3D Find the…

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Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

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Q: Match the function with its graph. 1. y 3 sin 2r 2.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the function f(x)=3(cos(x-5pi/6)+1) determine it's amplitude,period,midline

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Q: Given the function y = (x³ –4 – 3x) COS x, find dy in any form.

A: Solve for dy /dx

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: Q9.a) Find if y=sin(tant) and t=cos(x) dx

A: We can solve this problem using chain rule.

Q: 21. For f (x) = 4 sin(3x – T) – 1, determine the amplitude, period, and midline equation; then…

A: Using the form f(x) = asin(bx—c) + d,   Where a = 4, b = 3, c = π, d = —1 As our function is f(x) =…

Q: Verify whether the function u=e^(x^2-y^2 ) cos⁡2xy is harmonic or not.

A: A function u=fx,y is said to be harmonic if ∂2u∂x2+∂2u∂y2=0 Now, we have u=ex2-y2cos2xy We will use…

Q: write the function in the form y = ƒ(u) and u = g(x).Then find dy/dx as a function of x. = 5 cos-4 x

A: Given: y=5cos(-4x) Here y=5cosu, and u=-4x.

Q: y 3x+ 6 cosx, 0 £xs 2n

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Q: cos (x-Inx) dady. at.

A: Here, from the limit of integration, the integral is bounded by x=1e,x=1y,y=1,y=1. Plot the curve as…