suppose s1t2 is the position of an object moving along a line at time t Ú 0. What is the average velocity between the times t = a and t = b?

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height in feet t seconds later is…

A: Average velocity over time period t = a to t=b: f(b)-f(a)b-a    In following solution, y = f(t)is…

Q: Suppose that a company can produce 12000 units when the number of hours of skilled labor y and…

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Q: Suppose that A = r² – 6r and the current radius and rate of change of radius are r = 5 and " = 6.…

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Q: The population ( in hundreds ) of fish in a pond is given by P(t) = 2t + sin(2t –10) t months from…

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Q: Suppose a stone is dropped from a height of 100 ft. Its position at time t is s(t) =-6r +100. Find…

A: To find the time t when instantaneous velocity equal to its average velocity.

Q: Q3:) The point moving on the curve y = x³ - 3x+ 5, such that * +3, where (t) represents time. What…

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Q: If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet t seconds later is…

A: Given         y= 46 t - 16 t2              Average velocity from  t=a to t=b is…

Q: Suppose that an object is moving along a vertical line. Its vertical position is given by the…

A: Suppose that an object moving along a vertical line . Its position is given by the equation…

Q: A car traveling south towards Sioux Falls at 160 km/hr is chasing a truck traveling east away from…

A: Given, A car traveling south towards Sioux Falls at 160 km/hr is chasing a truck traveling east away…

Q: Compute the average rate of change of f (t) = 40t – 16t over the indicated intervals. %3D -

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Q: Find the rate of change of the distance between the origin and a moving point on the graph of the…

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Q: If a ball is thrown into the air with a velocity of 44 ft/s, its height in feet t seconds later is…

A: Authoring guidelines:…

Q: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feett seconds later is…

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Q: Suppose a stone is dropped from a height of 200 ft. Its position at time t is s(t)=-4r +200. Find…

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Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: A particle moves along the x-axis with velocity given by v(t) = 6t – 6t for time t > 0. If the…

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Q: 2. Suppose s(t) is the position of an object moving along a line at time t > 0. Describe a process…

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Q: 3. If the temperature in a room is given by T(x, y, z) = xyz, at what rate will the temperature felt…

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Q: If a rock is thrown upward on the planet Mathemagicland with a velocity of 12 m/s, its height in…

A: Given: velocity=12m/sy=12t-1.86t2

Q: The impedance Z (ohms) in aseries circuit is related to the resistance R (ohms) and reactanceX…

A: Given that The impedance Z (ohms) in a series circuit is related to the resistance R (ohms) and…

Q: 5. Find the rate of change of the distance D between the origin and a moving point on the graph dx…

A: Given: y=x2+7 then A moving point on the graph is: (x,y)=(x,x2+7) And dxdt=8 cm/sec We have to find…

Q: (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the…

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Q: If a ball is thrown into the air with a velocity of 46 ft/s, its height in feet i seconds later is…

A: Given : y = 46t - 16t2  t = 46

Q: Suppose x and y are functions of third variable t. In the equation *+y=45, what are the values of…

A: Given,   x2+y2=45To find dydt, when dxdt=-2 and x=3

Q: Suppose an object moves along a line at 13 m/s for 0sts2 s and at 22 m/s for 2<ts5s. Sketch the…

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Q: Suppose a quantity described by the function y(t) = y0ekt, where t is measured in years, has a…

A: yt=y0ekt The quantity has a doubling time of 20 years. That is, yt=2y0 when t=20.

Q: Suppose that D = √x² + y² is the length of the diagonal of a rectangle whose sides have lengths x…

A: To find the formula for the rate of change of D with respect to x, differentiate D=x2+y2, using the…

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later is…

A: The ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later…

Q: Suppose the position of an object moving in a straight line is given by the specified function. Find…

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Q: A particle moves along a straight line and its position from a reference fixed point O is given by…

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Q: Suppose a stone is dropped from a height of 200 ft. Its position at time t is s(t) =-12r +200. Find…

A: To find the time t when instantaneous velocity equal to average velocity.

Q: What is the average rate of change of y = cos(2x) on the interval 0,? a. = b. -1 с. О d. 4 e.

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Q: If a rock is thrown upward on the planet Mars with a velocity of 10 ms, its height in meters t…

A: Given- y=10t-1.86t2 and the velocity v=10 m/s. To find- The average velocity over the given time…

Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: Suppose an object moving along a straight line has position (measured in ft)…

A: We have  to find velocity

Q: If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later is…

A: Topic :- Application of Derivative

Q: Suppose h(t) = t² + 11t + 7. Find the instantaneous rate of change of h(t) with respect to t at t =…

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Q: 9. Suppose an object is moving along a path described by; f(t) = t - 6t, where f (t) is measured in…

A: The objects velocity at t is equal to 4 will be the objects instantaneous rate of change at that…

Q: A particle moves along a straight line so that after t (seconds), its distance from Oa fixed point…

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Q: f(30+h}-f{30)

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Q: Suppose an object moves along a line at 19 m/s for 0sts2 s and at 25 m/s for 2<ts5 s. Sketch the…

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Q: Suppose the position function for a free-falling object on a certain planet is given by s(t) = - 131…

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Q: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…

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Q: If s(t) represents the position of an object at time t which quantity represents the acceleration of…

A: To determine which of the given expression represents the acceleration of the object at t=4  if the…

Q: If the distance y from the origin at time t is given by y = -16t² + 3000t + 50,000, find the initial…

A: Given: The distance y from the origin at time t is given by  y = -16t2+3000t+50,000 To find: The…

Q: Approximate v10 using a linear approximation. Round to 5 decimal places. つ

A: Here is the solution

Q: Suppose that a turtle is moving along a straight line, and its displacement s(t) at any given time t…

A: Given data: The expression for the displacement is s(t)=(t-√(t2+3)+√3). The given interval is [a,…

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: If a ball is thrown in the air with a velocity 50 ft/s, its height in feet t seconds later is given…

A: If a ball is thrown into the air with a velocity of 50 ft/s, its height in feet t seconds later is…

Q: suppose s(t) is the position of an object moving along a line at time t&gt;0. What is the average…

A: Given: The position of a moving object moving along a line is s(t) for time, t&gt;0.