Tutorial Sheet- 1. Show that the function 2t et“ cos (et") is not of exponential order, however its La exists. Lap CoS

Q: 1. Find the amplitude, period, and phase shift of the function y = 2 sin (;x – -). Then graph the…

A: Answer is mentioned below

Q: 5. The following graph is of the function y Asin Ba. (a) What is the amplitude of the above sine…

A: a)  The amplitude is genrally defined as the height of the wave from the center line.  Here, in the…

Q: a. Consider the function f(x) = 6 cos(8x). i. How much must x increase by for 8x to increase by 27T?…

A: a. The given function is: fx=6cos8x i. How much must x increase by for 8x to increase by 2π

Q: Question 2 The range of the function y = log7x is O a R Ob-o, 7) Oc (0. ) Od (7. 00)

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Q: g(t) =2000 cos ((11/105)t) +8500 t is in weeks  at what week is g(t) increasing the fastest

A: Given data is: gt=2000 cos11105t+8500 t is in week To find at what week g(t) increasing the fastest.

Q: 2. Sketch one complete cycle of the following function by first graphing the appropriate curve and…

A: Given y=-6cos2x+π3

Q: (iii) Compute E[X].

A: iii) The probability of getting a head for TJ= 12[because the coin is fair] The probability of…

Q: Question 9 What is the derivative of y log b ( cos? (ax)) ? Note that a and b are real numbers. A 2…

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Q: The graph of which function has an amplitude of 3 and a right phase shift of ? y-3+ sin 2(z-) y = 3+…

A: The equation of the trigonometric function is   y=A sin Bx+C+D

Q: Question 2 (a) Define the following hyperbolic functions directly in terms of the exponential…

A: Hyperbolic functions: These functions are defined using the exponential function ex and its inverse…

Q: 6. Graph the function y=1.5 cos 3 x-- 3 Amplitude = Period = Phase Shift = Midline = You'll need to…

A: Explained below

Q: Ttt = 85 - 0.16 cos 12 A model for the basal metabolism rate, in kcal/h, of a young man is R(t) kcal…

A: Please comment if you need any clarification.. If you find my answer useful please put thumbs…

Q: Question 1 Scientist sometimes use the formula f()=asin(bt+c)+d to simulate temperature variations…

A: Let the function f(t) be the temperature variation during the day with time t in hours and t = 0…

Q: 10) Find the period, amplitude, and sketch one cycle of the function y = 2 + 3 cos s(2t-). Clearly…

A: given function is ,                         y=2+3cos2t-π3 we have to find period, amplitude and…

Q: Question 14 Find Screen Shot 2021-10-05 at 8.13.33 AM.png Vh + 5-2 lim h→-1 h +1 DNE 0. 1/4 1

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Q: Give the amplitude, period, phase shift, and mean for f(x) = 2 cos(3x – n) – 1 and graph two periods…

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Q: Find the value of the base b so that the graph of f(x) = log,(x) contains the given point. %3D…

A: The point (1/625 , 4) is on the graph. So x= 1/625 and f(x)=4

Q: 13. Write a sine function with a horizontal shift of h=1.

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Q: 15. When looking at the graph of the function y = cos if a cycle begins at T, at what point does the…

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Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side.…

A: 3) PANIS

Q: Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the…

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Q: . a. Graph the function ƒ(x) = sin x + cos(x/2).b. What appears to be the period of this function?c.…

A: a) we have to graph the function fx=sinx+cosx2. b) we have to tell what appears to be the period of…

Q: Question 11 The distance of a swinging pendulum from its resting position is given by the function…

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Q: Question 2. Evaluate S, 7 cos(5x)dx. HINT: Prove that the product of an even and an odd function is…

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Q: Determine whether the following statement is true or false. The graph of y= cos 2x + has phase shift…

A: The general equation of sinusoidal and cosine function is: y =A sin (B(x-C)) + D And, y = A…

Q: 1. Find the amplitude, period, and phase shift of the function, and graph one complete period. A. y…

A: Given: y=3cosx+π4 To find the amplitude, phase and period

Q: 10 18 Does this graph have the shape of sin(x) or cos(x)? What is the period of the graphed…

A: Topic = Trigonometry

Q: A certain sine function has an amplitude of 3, a period of t, a phase shift ofT/2, and a vertical…

A: Given:Amplitude=3Period=πPhase shift=π2Vertical displacement=-1To find:we have to find…

Q: (-) Sketch a graph of the function f(1) = -4 cos 1/3

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Q: 6. Given the graph below, answer the following (d) State the phase shift (horizontal shift), if any.…

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Q: Analyze g(x) = cos (x-π) Sketch one period of the graph beginning from the phase shift

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Q: The temperatue of a townt months after January can be estimated by the function f(t) -26 cos 6. + 61…

A: Given, The temperature of the function t months after january is given by ft = -26cosπ6t+61  We have…

Q: 3. Plot one cycle of the function below on the grid provided. (5 marks-A) f(x) = 3 sin ( 2x + - 1 2…

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Q: Question 2 > csc(t) Simplify to a single trig function with no fractions. cot(t)

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Q: 1. Sketch the graph of each function in [0,2n) by transforming its parent function. (a) y = cos(x)…

A: According to Bartleby guidelines I can only answer the first three subpart of the given problem.

Q: 4. The period of the function shown is approximately -2- An 2 8. A 8 в 6 С 4 D 2

A: To approximate the period of the graph of the below function.

Q: Question 1 Differentiate the function F(t) = arcsin(ln(t)) · arctan(3t²) – arccos(/2). You do not…

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Q: d. State the phase shift, if any. е. Use your answers to construct a formula for this function.

A: The given function is the sinusoidal function. The sinusoidal function can be expressed in two…

Q: Activity 3: Sketch the graph of the following functions. 1. y= 2 sin 4x 2. y=-2 cos- 3. y=tan 2x *IN

A: Given that some function and we Sketch the graph of this given function . 1.  y = 2sin4x. 2. y =…

Q: C. Sketch the graph of each function over two periods, starting from x = 0. Indicate the period,…

A: Note- Since multiple questions are asked, I am solving first question with both sub parts . Please…

Q: . The current I, in amperes, flowing through an ac (alternating current) circult at time t, In…

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Q: a. Consider the function f(x) = 6 cos(8x). i. How much must x increase by for 8x to increase by 2T?…

A: Solved below

Q: Question 3: (a) A projectile is fired straight up from ground level. After t seconds, its height…

A: Given - A projectile is fired straight up from ground level. After t seconds, its height above the…

Q: Question 3: Find the principal value of cosec (2)

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Q: 2. A model for the length of daylight(in hours)in Philadelphia on the tth day of the year as 27T (t…

A: Given: A model for the length of daylight( in hours) on the tth day of the year is: L(t)=12+2.8…

Q: Question 10: Find the principal value of cosec(-2)

A: Introduction : Here , we have asked to find the principle value of cosec-1(-21/2)

Q: Question 6 Give a number between 3 and 4, that is in the range of the function f(x)=cos-lx.

A: Explanation of the answer is as follows

Q: Question 3 of 17, Step 1 of 1 - 1612 + vot + ho, where h is the height of the object after time t,…

A: Consider the given information.   The given equation is h=-16t2+v0t+h0.   The initial velocity is 32…

Q: Write a function of the form y=A sin (Bx-C)+D that has period 8, phase shift -2, and the range…

A: Y=?