1. Mark Twain sat on the deck of a river steamboat. the paddle blade moved in such a way that its distance, d, from the water's surface was a sinusoidal function. When his stopwatch read 5 seconds, the point was at its highest, 1o feet above the water's surface. The wheel's diameter is 18 ft and it completes one revolution every 10 seconds.

Q: 2. A Ferris wheel 50 ft. in diameter makes one revolution every 40 seconds. The center of the wheel…

A: We know that, General form of a sinusoidal function is given by, y = A cos(Bt - C) + D…

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Given: The outside temperature over a 24hours is modeled using a sinusoidal function. The high…

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A:

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

A:

Q: Question 9 A toy rocket is launched from the ground with an upward velocity of 64 ft/sec. When will…

A: Given data is : Upward velocity is 64ft/sec To find time required to hit the ground. Upward…

Q: воооо 5. A group studies tides and records the function y = 1.5 sin ((-8)) +4.25 with time in a…

A: The given function: y=1.5sinπ3(x-8)+4.25 ; 0<x<24 To find number of times the height of 5 feet…

Q: Two metal strips are measured as 6.21cm and 1.529cm, correct to two and three decimal places…

A: When the metal strips are laid end to end, their combined length will be the sum of their lengths.

Q: A man programs his sprinkler system to have a period of minutes. He notices that the highest point…

A: Given problem can be modeled as: the general equation is given by h(t)=a .Sin(kt)   where a=…

Q: A mass suspended from a spring is pulled down a distance of 2 ft from its rest position. The mass is…

A:

Q: [4.1 Problem 38] You stand 40 ft from a bottle rocket on the ground and watch as it takes off…

A: Given: dhdt=20dθdt|h=30=?

Q: A 4 m long ladder is resting against a vertical wall when it suddenly starts to slide down the wall.…

A: This question can be solved using the concept of rate of change of quantities.

Q: Question 4 Does the graph of g(a) = x? x sin(1/a), "completed" by defining g(0) = 0, have a tangent…

A: Given that g(x)= x2sin (1x), x≠00, x=0

Q: A Ferris wheel has a radius of 70 m, and the bottom of the wheel passes 6 m above the ground. If the…

A: t (minutes) h(t) 0 6 2.5 76 5 146 7.5 76 10 0

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

A:

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

A: topic - trigonometric functions

Q: Problem #10] A kite 100 ft above the ground is being blown away from the person holding its string…

A:

Q: Question 14 d (tanh -'(cosx)) dx A cschx B) -csCx C) -secx D cothx

A:

Q: 6. In the triangle shown, if 0 increases at a constant rate of 3 radians per minute, at what rate is…

A: Given:             θ increases at a constant rate of 3 radians per minute               i.e.,…

Q: A 10-foot ladder rests against a wall. If the top of the ladder starts sliding down along the wall…

A: we use Trigonometry ratios

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: 4 Find a sinusoidal function that matches the given graph. If needed, you can enter =3.1416... as…

A: solution:-

Q: Problem 2 Suppose a baseball player is running from second base to third base at a speed of 30…

A: Given that, dxdt=30 ft/sec w have to find the value of dydt when x = 20 ft According to the figure,…

Q: A ferris wheel of radius 12 m rotates at a constant angular speed and requires 30 seconds to do a…

A: The given question can be solved as shown in step2.

Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: Water is leaking out of an inverted conical tank at a rate of 9200 cubic centimeters per min at the…

A: Given, Leaking out rate from the inverted conical tank is 9200 cm3/min height of tank is h=6 m,…

Q: 1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal…

A:

Q: Consider the following scenario: The population of fish in a pond can be modeled with the sinusoidal…

A: Create a own function based on scenario.Part (1):

Q: A certain Ferris wheel is has a diameter of 15 meters and boarding platform that is 2 meters above…

A:

Q: Problem 2: A The altihude of a trangle is incureasing eta raté of I cm/min while the area of the…

A:

Q: Using the figure #1 and figure 2 (all the figures will be sent by email), it is required to check…

A:

Q: What happens when you try to find cot 0  0 on your calculator? Why does this happen?

A: When we try to find cot0° in calculator, Its will show ERROR.

Q: Given an object in damped harmonic motion, the amplitude (increases/decreases) with time

A:

Q: Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters),…

A: We will find dP/dt at t =18

Q: "The formula specifies the position of a point P that is moving harmonically on a vertical axis,…

A: The formula specifies the position of a point P that is moving harmonically on a vertical axis is…

Q: 2) A fish is stuck in a water wheel that is rotating. A graph of its height (in metres) with respect…

A: (1) from the given graph, we get to complete one revolution of the wheel fish took 8 minutes. (2)…

Q: 5.) A weight attached to a spring is pulled down 3 inches below the equilibrium position. Assuming…

A: f= frequency = 34π X=A Cosωt

Q: On a piece of graph paper, create an amplitude vs. time graph of a sine wave with an amplitude of 5…

A: Given : 1. Create an amplitude vs. time graph of a sine wave Amplitude = 5 pa The SI unit of…

Q: In a certain city, the number of hours of sunlight on the summer solstice is 15.544 and the number…

A: In the question, we need to find sinusoidal function.

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: High temperature is 78∘F at 6 PM and average temperature is 62∘F. Since outside temperatures over a…

Q: The legs of an isosceles triangle are increasing at the rate of 0.5 feet per minute, and the…

A: In an isosceles triangle ABC: From the given data: The legs of an isosceles triangle are increasing…

Q: Question 18 > Two cars are moving towards an intersection. One car is 170 meters north of the…

A:

Q: If the position of a moving object is S(t)= sin t)- meters above zero at t seconds, then what is its…

A:

Q: Consider a triangle where two sides have fixed lengths 14 cm and 16 cm. Suppose the two sides are…

A:

Q: the height of the tide in meters at a particular habour can be modelled by sinusoidal function…

A: Sine curve

Q: Question 19. A circular area of 1²0 is swept out as a rod of fixed length r = 1 m pivots about a…

A: The rate of change of area with respect to the time can be calculated by differentiating the area…

Q: Question 3 According to the ideal gas law pressure, P (in pascals) , volume, V (in cubic meters),…

A:

Q: 1. A pebble is stuck in the treads of a bicycle wheel. If the wheel makes 4 rotations per second,…

A: There are two types of sinusoidal function which are of the form y=Acos(Bx+C)+D or y=Asin(Bx+C)+D.…

Q: 1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal…

A: The minimum and maximum temperature are 420F, 580F.  The minimum temperature occurs at midnight. We…

Q: Find a model for simple harmonic motion that has an initial displacement (t=0) of 5 inches, an…

A: Model for a harmonic motion is given by: y=asinbt+c Where, a=amplitudeb=Periodc=Phase difference…

Q: Question 16 : An inverted pyramid is being filled with water at a constant rate of 25 cubic…

A: This is a problem related to derivative of the volume of the square base pyramid. Please follow the…