he graph of y=cosx is vertically stretched up by a factor of 3 and shifted down by 5 units. One cycle of /= cosx on [0, 2t] is compressed to |0, and shifted horizontally 3 units to the left. The equation 4 of the transformed function is:

Q: Sketch the graph of the function. (Include two full periods.) y = −3 sin(6x + π)

A: Given: y = −3 sin(6x + π) To find: Sketch the graph of the function.

Q: Find the period and phase shift of the graph of y -) + 2, and 18 sketch its graph over two periods.

A: Given y = tanπ18 - x3 +2 Compare it with the equation y = a tan (bx + c) +d Hence a = 1 , b = -13 ,…

Q: Express the equation in Heaviside Function

A:

Q: Sketch the graph of y=sin(1/3x+pi). Please show at least one full cycle, and label at least 2…

A: Given,

Q: Find an equation of the line tangent to the graph of y = exat x = 0.

A:

Q: How would you graph one period of y=4sin(2/3x) on paper?

A: GIVEN: y = 4 sin (2/3 x)

Q: Sketch the graph of the function. (Include two full periods.) y = 5 sin x

A:

Q: Determine the equation of a sine function with a minimum at ,-10 | and a maximum 57 at 6

A: Given problem:- Determine the equation of a sine function with a minimum at (π/3, -10)and a maximum…

Q: 9) Find the equation for the following sinusoidal graph. 3- -1 2 -2 -3 -4 -5-

A: To find the equation for given sinusoidal graph

Q: What is the equation of the cotangent function whose graph has a period of 4TT and shifted 2TT units…

A: A general equation of cot function is cotat-b with period πa and shift b to right.  Now, as per the…

Q: Sketch the graph of y = - -x'cos x

A: By the limit of the function when x goes to zero the function also goes to zero.. But other case…

Q: Determine the equation of a sinusoidal function with a minimum at (2, 4), an amplitude of 3, and a…

A: Given:-for a sinusoidal functionminimum at (2, 4)amplitude=3period=10 equation of sinusoidal…

Q: A cosine curve with a period of π, an amplitude of 1, a left phase shift of π, and a vertical…

A:

Q: a) y = 2sin (x +) – 1 - 1 4 b)y = tan를(2x + 3) - 2 3 c) y = (2x-π)-1 4

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: answer is in next step. please give a like !!

Q: 3. Determine a sinusoidal function that could represent the graph drawn below. a.

A: topic - trigonometric functions

Q: Find the amp, period, and phase shift of function. Also graph on complete period, specifying the…

A: Given,        We have to calculate the amplitude, period and phase shift of the function. Also…

Q: If the graph of y= sin(x) is to be modified by halving its period (period divided by 2) a shifting…

A:

Q: The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum height of 8 cm…

A: Given that  The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum…

Q: The time for one complete cycle of a point in simple harmonic motion is its ________.

A: The time for one complete cycle of a point in simple harmonic motion is its ________.

Q: In the given question , find equations of the two tangent lines to the graph of f that pass through…

A: Given function and point is  f(x)=x2,  1, -3

Q: 1. Sketch one cycle of the graph for the function below: f(x) = 3 sin 2x - 2 for 0 < x < 2n…

A: first we y= 3(sin2x-pie/8)-2,

Q: The graph of cos(T) is shifted left 270°, has the period decreased to 180°, and is shifted up 2…

A: The graph of cos(T) is shifted left 270°, has the period decreased to 180°, and is shifted up 2…

Q: Sketch the graph of the function. (Include two full periods.) y = tan 4

A: To Determine: Sketch the graph of the function:

Q: Sketch at least 2 periods of the graph of y= −2sin(2x)−1 and find the amplitude, period, horizontal…

A:

Q: Find the equation of the tangent line to the graph of 3

A:

Q: Use the guidelines of the section to make a complete graph of ƒ. ƒ(x) = sin x - x on [0, 2π]

A: Given function - f(x) = sinx-xIntervals = 0, 2πUsing value of π as 3.14 to draw the curve,let us…

Q: The length of the curve r = 6sine for the period0<0< is 3п

A:

Q: Find the period of the sinusoidal function. Ex 64 2 -3T -2T 27 -1 -2 -3 -4 -5 Simplify any…

A: The period of the sinusoidal function is the time to complete one wave cycle. The period of the wave…

Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: Give an equation for the tangent line to = 1 at the y2+1 point (5,2) and sketch it on the graph. -5-…

A:

Q: Find the equation of the tangent line that passes through point (1,2) to the graph 8y3 + x2y - x =…

A:

Q: Suppose the lowest point of a Ferris wheel is 1.5 meters o↵ the ground, and its radius is 15 m. It…

A: It is given that the rider starts at the lowest point.  So, the maximum point will be 1.5+15+15=31.5…

Q: The function graphed is of the form y = cos x + c, y = sin x+ c, y= cos(x - d), or y = sin(x - d),…

A: Given:

Q: Find the exact value of the function: arcsin(1)

A: arcsin1 can be written as sin-11. The value of sinθ is equal to 1 when θ=π2.

Q: Write an equation for a function with the given characteristics. A cosine curve with a period of 7,…

A: We have to write the  cosine function using given  information.

Q: Use the graph of the equation y = -sin 2x + shown below to identify the graph of one complete cycle…

A: our objective is to draw the graph from 1stonr

Q: Graph one period of the following function. Be sure to identify all of the transformations and the…

A: Solution is given below:

Q: The ________ of a sine or cosine curve represents half the distance between the maximum and…

A:

Q: If a sinusoidal function has a minimum at x=5 and a period of 14 units, at what x-value will the…

A: Since we know that in a sinusoidal function each value of the function will repeat after each period…

Q: Write an equation for a function with the given characteristics. A cosine curve with a period of π,…

A: Given that the required cosine curve is with a period of π, an amplitude of 1, a left phase shift of…

Q: sketch their graphs y = 2 sin (x + π) - 1

A: Here we have to draw the graph of y=2sin(x+π)-1 since it a sinusoidal curve.....

Q: Transformations were applied to the graph of g(x) = cos x to produce the graph of v(x) = 20cos(10x).…

A:

Q: Sketch two cycles of a sinusoidal function that has a period of 15 seconds, an amplitude of 4 and…

A: see below the answer

Q: Find an equation of the tangent line to the graph of y = arcsin(2x) at the point 2/2 4

A:

Q: The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the…

A:

Q: 1. Sketch one cycle of the graph of y = 3 sin(x + 90) – 2 starting from the graph of y = sinx.

A: At first draw graph of y=sin(x) then follow steps as  Step 1. Draw y= sin(90+x) = cos(x) i.e. draw…

Q: Find the exact value of the function: 0 6 arccos (-/-)

A: See this solution in below

Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

A: For the solution of the problem follow the next step.