For the position function of a ball given by s (t) = 64 – 16(t – 1), find the most simplified expression you cai for the average velocity of the ball on the interval [2, 2+ h]. -16h – 32 (2+h)? 64 h O -16h² – 32h O 4h – 8

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

Q: Determine the speed as a function of time t for a particle having position function r(t) (t, 10t2,…

A: We have  r(t) = <t,10t2, t4>  Speed = ||r'(t)||

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A: Hi. You have posted multiple questions in a single request. We will only solve the first one. Post…

Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

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Q: The position of a particle moving horizontally is given by s(t) = 2t³ – 15t2 + 24t – 11, where s is…

A: Let's find.

Q: The position of a particle is given by: s = f(t) = t³-12t²+36t, 2. where t is measured in seconds…

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Q: 9) Where is the function h(t) = (t + 5)"3 differentiable?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: The position function of a particle is given below. s(t) = t3 + 6t2 − 59t, t ≥ 0 When does the…

A: Given,         The position function of a particle is given below :          st=t3+6t2-59t ,t≥0…

Q: *z + yz? + 2ry? - = 0 ve z = f (x, y) ise =? what is the f(0,1) at

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Q: The velocity of a ball thrown upward from an initial height of 80m is given by v(t) = -32t + 64 What…

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Q: The position function of a particle is given by s(t) =3t-t, t20. (e) When does the particle reach a…

A: Topic- application of derivatives

Q: 4: Find the approximate value of f(-2.001, 1.002) where f(x, y) 3x?y + y? – xy +1

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Q: Differentiate the function. y = In(16 + t – P) %3D y' = 1– 3r² 372 6 +t-t -- 6 + t- r 2 6+t-t

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Q: If s(t) =t ––t² +2t – 5 represents the position of a yo-yo off the ground then when %D would the…

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Q: Q3. A parachutist weighing 192 lb falls from a plane (that is v, = 0). When the parachutist's speed…

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Q: Given velocity function v (t) = –32t + 16 and additional requirement s (0) 32, what is the position…

A: The given velocity function is: v(t)=-32t+16...(1) with the additional requirement s(0)=32. To find…

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A: Use derivative to solve

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Q: Evaluate f (t) given t = 1 for %3D 12s-13 F (s) = s(s-1)(s+2)' (11+ -) 2 e e2 o 13 37 6e2 O…

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Q: given the position function for an object in motion  is s(t)=-4t3+4t2-1 then the accelaration at t=1…

A: Differentiate the position function with respect to time t.

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

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A: Definition used:The average velocity of an object with position function f(t) over an interval [a,…

Q: For a t-curve with df = 4, find the t-value to o5: O A. 2.132 O B. 1.645 O C. 2.353 O D. 4.604

A: Provided information: Degrees of freedom, d.f. = 4

Q: (a)Differentiate t + 3t* – 2t with respect to t. (b) 4 (x³ – - * +) with respect to x. (c) Find when…

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Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

A: given f(t) = -16t2+80t+4(a) first we verify f(2) = f(3)f(t) = -16t2+80t+4f(2) = -16(2)2+80x 2 +4…

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Q: The position function of a particle is given by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: For a t-curve with df = 20, find the t-value to.01- O A. 1.325 O B. 2.528 O C. 2.330 O D. 2.539

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Q: The position function of a particle moving along the x−axis is given by x(t)=t3−4t2+5t−2, t≥0. Find…

A: We find the velocity by finding the first derivative of x(t)

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: A ball rolls down an inclined plane such that the distance (in centimeters) that it rolls in t…

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A: This is a problem related to differentiation of the function. Based on the general formula and…

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Q: The height h, in meters, of an object at time t is given by .h(t) = 12t + 18t 6t² - What is the…

A: topic - functions and derivatives

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Q: 5 B) Find y" for the function y = x + Vx at p(1,3)

A: Given query is to find the double derivative of the expression at point p.

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Q: For numbers 7 and 8. Let v(t) =t2 – 2t – 5 be the velocity function for a particle moving along a…

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Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: Consider a particle with a position function given by s(t)=48t-3t^2. When will the the particle…

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Q: 7. The height (metres) of a bouncing ball can be modeled by the function h(t) = 2sin4t + 2 over the…

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