Find the average rate of change of the function over the given intervals. h(t) = cott 3π 5π a. 4 4 b. 6'2

Q: Find the average rate of change of the function over the given interval. f(t) = 13 + cos t a. - T, 2…

A: given f(t)=13+cos(t) To find the average rate of change of f(t)

Q: The distance of a particle from some fixed point is given by the following function. s(t) =r? + 3t-4…

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Q: The position of a moving particle is given by s(t) = t2 – 7t + 4 on the interval 0 <t< 4, where 's'…

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Q: 1. Find the average rate of change of the following functions over the given interval: (a) f(r) =…

A: Explained below

Q: Let f'(x) = e and g(x) = f(Vx). Let L denote the slope of the tangent line to the graph of the…

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Q: Find the average velocity of the function over the given interval. g(t) = 3+ tan t, |-14 %3D

A: Average value of any function is ratio of  difference in outputs and the difference between inputs.

Q: T Find the average rate of change of f from 0 to f(x) = sin NIX

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Q: A car drives down a road in such a way that its velocity (in m/sec) at time t (in sec) is v(t) =…

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Q: The slope of the secant to the curve is: f (x) = log1o I between x 1 and x 10 %3D O a) 1 Ob) 9 O d)…

A: Topic = Functions As per guidelines , At a time only one question can be answered. please repost for…

Q: Find the average velocity for the position function s (t), where s (t) is in millimeters, over the…

A: We need to find the average velocity over the interval 1&lt;=x&lt;=3.

Q: A car drives down a road in such a way that its velocity (in m/s) at time t (seconds) is…

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Q: For y = 2 sin(x+x); for which interval is the average rate of change the largest? A. 0≤x≤2n B.…

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Q: Given xy + cos(xy) – 4x 5, answer the following: Write the equation of the normal line to the curve…

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Q: Suppose the rate at which a skateboarder is traveling is given over a 10 sec interval in the table…

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.7 sin (t² – 4) .…

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Q: Find the average rate of change of the function over the given intervals. h(t) = cot t 5π7π а. 4 ' 4…

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Q: The position of a particle at time t (s) is s(t) = t2 + 1 m. Compute its average velocity over [2,…

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Q: The distance of a particle from some fixed point is given by the following function. s(t) =t + 4t-3…

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Q: find the average rate of change of the function over the given interval or intervals.

A: Given function, ht=cott

Q: If the position of an object is given by s(t) = 2 +t², then what is the average velocity of the…

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Q: 10. Find the slope of the tangent line for the following function at indicated point: 1 f(t) at t =…

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A: The given expression iswt=9.59+1.05t-0.0049t2+0.000224t3.

Q: With the given equation y = x² + 1. Find the average rate of change of y with respect to x over t…

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Q: Find the average velocity of the function over the given interval. y =x? + 4x, [2,8] 21 O A. 2 О В.…

A: The average velocity of the function f(x) over the interval [a,b] is given by: f(x)=f(b)-f(a)b-a

Q: find the average rate of change of the function over the given interval or intervals. 4. g(t) = 2 +…

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Q: ind the average rate of change between the given points f(t)=t^2 -2t between t=2 and t=5

A: f(t)=t2-2tf(2)=4-4=0f(5)=25-10=15average rate of change  =f(5)-f(x)5-2  =15-03  =5

Q: The position of a moving particle is given by s(t) = t2 – 2t + 6 on the interval 0 <t < 6, - where…

A: We will solve the following.

Q: Suppose that f(t) =t+4t-4. W.at is the average rate of change of f(t) over the interval 3 to 4? %3D…

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Q: Given the following table, use your calculator to estimate dW/dt at t=0 using the average rate of…

A: Step 1:-  dWdt=W2-W1t2-t1 Here, t1=0⇒W1=350t2=4⇒W1=334

Q: For the position function s(t)=15/t+1, complete the following table with the appropriate average…

A: Now,

Q: The average rate of change of f(x)=mx+b on the interval a,c is: В. 1 С. т А. 0 тс -та + 2b D. E.…

A: Let f(x) be any function.Then, Average rate of change of f(x) over [a,c] = f(c) - f(a)c-a

Q: 3. Use the first derivative to find the location of all local extre ma for the following functions.…

A: Explanation of the answer is as follows

Q: For 5 <t < 10, denote by vav(t) the average velocity of the object on the interval [5, t]. Find a…

A: Given data:   The expression for the displacement function in the interval (5,10] is: s(t)={3(5)1/2…

Q: Given that f (x) = Vx2 +1 .1 Determine the equation of the tangent at x = 1. .2 Determine the…

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Q: in a time of t seconds, a particle moves a distance of s meters from its starting point, where…

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Q: The position of a particle at time t is s(t) = 4t^3. Compute the average velocity over the time…

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Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: Z is the distance from kite to person. We use Pythagoras Theorem

Q: Determine the rate of chenge in the ar direction of the scaler function U- sin e and calealate it at…

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Q: If the pdf of a measurement error X is f(x)= .Se -00 <x< oo, show that Mx(t) 1 for |d <1. 1-

A: Given  The pdf of a measurement error X is f(x)    =   0.5 e -|x|  -∞&lt;x&lt;∞ Show that  Mx(t)  =…

Q: Find the first order derivative for the following: cot(e(3•Z)t) sin(z•t²) S = t5

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Q: The distance of a particle from some fixed point is given by the following function. s(t) =t +4t-3…

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Q: The graph below shows the relationship between the height of water in a bottle (in inches), h, and…

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

A: The average velocity of an object is the ratio of the changes in object position and time taken by…

Q: Find the average velocity of an object for the interval 1<t< 3, if its position is given by s = = t²…

A: Differentiate the function to find the velocity function. dsdt=2t+5

Q: A car drives down a road in such a way that its velocity (in m/s) at time tt (seconds) is…

A: vt=3t12+4

Q: Find the average rate of change of the function over the given interval. f(t) = 14 + sin t a. 0, T…

A: Given that

Q: The position of a particle at time t is s(t) = 4t^3. compute the average velocity over the time…

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Q: The position of a moving particle is given by s(t) =t - 3t + 6 on the interval 0<t<6, where 's' is…

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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 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.