4. The sine curve y = a sin k(x – b) has amplitude . period , and horizontal shift The sine curve y = 4 sin 3(x - ) has amplitude period and horizontal shift.

Q: 2. = COS X- 4. Amplitude= de%3D Equation of mid-line: ent Length of period: Phase Shift:

A: Given:- g(x) = cos(2(x-π/4)) To find  Amplitude Equation of midline  length of period phase shift

Q: sin z What kind of discontinuities have the functions y = cos z and ? at x = 0? Indicate the…

A: ka

Q: 9. A windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its…

A:

Q: 1 lim h-0 2h sin(x²)dx = %3D -2h O cos(1) sin(1)

A: Using Fundamental theorem of calculus: ∫-2h0sin(x2)dx=sin(0)-sin((-2h)2)=0-sin(4h2)=-sin(4h2)

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A: Given curve is y=2xsinx. Given point is π2,π. Differentiating the given curve with respect to x, we…

Q: Consider the function f(x) = 4 sin (5 (x – 2))+6. State the amplitude A, period P, and midline.…

A: Given, the function f(x)=4sinπ3x-2+6. We have to find the amplitude, period, phase shift, vertical…

Q: Question 1: Verify that the point ) is on the curve x Sin2y = y cos 2x. Use implicit differentiation…

A:

Q: 10. Determine the amplitude, the period, the phase shift, and the vertical shift of the y = -4 sin…

A: The given data is: y=-4sin2x+30∘+1 And  y=sinx

Q: - 5 sin(10x), determine its amplitude, period, and section Without graphing the function y = width…

A: Given  y = - 5sin (10x)

Q: A sine function has an amplitude of 7, a period of 720°, and range {y € R-2 ≤ y ≤ 12}. Identify the…

A:

Q: B. Derivatives of Trigonometric Functions Using the formula find- dy dx 7. y= sin In(4x + 3)

A:

Q: # 4: Given: y = 4 sin(-2rx +7) Find the Period: Amplitude: Phase Shift: Vertical shift:

A: Given,

Q: 4) Let f(x) =-2 sin(3 x-T). Determine the amplitude, the period, and the phase shift. Graph this…

A: To Determine: the amplitude ,the period and the phase shift.Graph this function on an interval with…

Q: The derivative of cos (x²) Graph y = -2x sin (x²) for –2 < x < 3. Then, on the same screen, graph…

A: We draw the graph of y=-2x*sin(x^2) using graphing calculator

Q: Find the slope of the tangent line to the sine function at the origin. (a) y 2 y= sin(x) 1 Зл 2 (b)…

A: we have to find slope

Q: Find the slope of the tangent line to the sine function at the origin. (a) y 2- y= sin(x) 37 2 EX…

A:

Q: For the function y=-2-sin 2-x-- |+5, determine the properties 2 Amplitude: Period: Phase shift:…

A:

Q: (B): Find the tangent equation to the curve y = sin² x at point x = 7. (C): Solve the following…

A:

Q: 11. Given y = -2 Sin ( 2( x + ) + 6 Find Amplitude (A), Period (P), Vertical Shift (V), Phase Sh…

A:

Q: 3. A cosine function that has the same graph as y = 2 sin x. 4. A sine function that matches the…

A: We have to find the graph that is same as given function.

Q: 7. Find the amplitude and period for the function y = -3 sin(4x).

A: Given,           The function is y=-3sin4x .

Q: a) y = 3 sin 2(x-30°) +1 b) y = 0.25 cos 0.5(x-1)-3 Range Range Amplitude Amplitude Period Period…

A: Part a) Given: y=3sin2x-30°+1

Q: 3 Determine the amplitude of the function y =- cos(x). Also, choose its graph. The amplitude is

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Find the equation of tangent line

Q: ind the amplitude,period, phase shift and vertical shift: y=sin(2x+Pi/2)+1

A: The general form of the given function is, y=Asin2πPx+ϕ+C⋯⋯1 where  A is the amplitude, ϕ is the…

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

A:

Q: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

A:

Q: 7. A sound wave is modeled by the curve y = 3 sin 4x. What is the period of this curve? 4. 3.

A: y=3sin4x

Q: Part A,B, and C.

A:

Q: Find the amplitude, period, and horizontal shift of the function. y = 3 + 2 sin(3(x + 1))

A:

Q: Find the equation of the tangent line to the curve 2 sin z + 5 cos z at the point (0, 1/5). The…

A: Solution:- use u/v formula to differeniate

Q: 0. te (-0, 0), solves x' 3 sin t (. - Show that x(t) = -3 cos t 1 and sketch the graph of the…

A: To verify the solution , prove left hand side is equal to right hand side Now, consider Left hand…

Q: 17c

A: From part b, it is obtained that the graph is as shown below.

Q: 15. What is the amplitude, period, phase shift and vertical shift of y = sin(40) + 3 A. Amplitude:…

A: Let us first understand the terms. Amplitude is height from center line to peak. Or Distance…

Q: Find the amplitude, period, and phase shift of the function. y = 5 + 3 sin 6(x + 3) and  than graph…

A:

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t. x…

A:

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: ope of the curve 2xy = In(e*) sin(x)

A:

Q: Solve (cos x cos y- cot x) dx-sin x sin y dy = 0 %3D

A:

Q: 3. If a body of weight W pounds is dragged along a horizontal floor at constant velocity by means of…

A: Consider the given function F=kwksinθ+cosθ

Q: 5. Evaluate | (x² +1)* dx using trigonometric substitution as your first step (not a u-sub as your…

A: The solution is given below in the next step:

Q: 1.y= 3 sin (x -) – 1 Amplitude Period Phase Shift Vertical Shift

A:

Q: – 5 sin(10x), determine its amplitude, period, and section Without graphing the function y width…

A: We have to determine amplitude, period and section width of the given function.

Q: the slope of the tangent. line to: the graph of y=XT COSXY the point (0,1)? What is of: 4=XT COSメ

A: Given: y=x+cosxy

Q: (x) = 5cos(3x) f(x) = -6sin Amplitude: Amplitude: Period: Period: Name: Period: 8.3 Day 3 Graphing…

A: As per the guidelines we can solve 3 questions.

Q: 4. (a) The graph of f(x) = e -kx cos(x) , as well as the tangent line at x = 0, are shown below: (a)…

A:

Q: 3. If a body of weight W pounds is dragged along a horizontal floor at constant velocity by means of…

A: givenf[θ]=KWK(sinθ+cosθ)       =KW(Ksinθ+cosθ)-1 now differentiating if,f1(θ)=-KW(Ksinθ+cosθ)-2…

Q: Y+y-cos x + 3 sin 2x

A:

Q: /² sin ( cos() sin() dx (Consider initially the first 2 terms)

A: To evaluate the value of given integral. Use the identities: 1.sin A cos B=12sin(A+B)+sin (A-B)2.sin…

Q: 1 Fig. 8 shows a sketch of part of the curve y=x sin 2x, where x is in radians. The curve crosses…

A: