The displacement, x of a body as a function of time, t is given as r(t) m. The velocity in m/s at t = 1.5s is: = 3e 2t + 5t2, where t is in seconds, and x

Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

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Q: ind the derivative of the function f(z) = (2r+7) 71+11 %3|

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Q: The velocity, v of a body as a function of time, t is given as v(t) = 4e2t + 5, where t is in…

A: We are given with velocity of a body as a function of time and we have to find the acceleration of…

Q: The displacement, in meters, of an object moving in a straight line is given by s(t) = 3+ 4t +t2,…

A: The displacement is given by

Q: The traffic flow rate past a certain point on a highway is q (t) = 1400 + 2400t – 210t? where t is…

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Q: Given f(x) = 6xe® csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: A function f(x)=6xexcsc(x), we have to find the derivative of the given function i.e. f'(x) also…

Q: Use the definition of the derivative to find r'(t). r(e) = Vi + i - 3k 3tk r'(t)

A: =>r(t)=f(t)i +g(t)j +h(t)k

Q: The traffic flow rate past a certain point on a highway is q(t) = 3000+ 2000t − 300t2 (t in hours),…

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Q: For the function F(x) = [ 2|t|dt, find the tangent lines which are parallel to the bisector of the…

A: 1. Slope of equation is equal to dy/dx 2. Equation of line at point (a, b) and slope = m is :…

Q: 3. The velocity of a car (in miles per hour) is given by v(t) = 5 +2t, where t is in hours. Find how…

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 8t + 17,…

A: We have solve the problem by putting the value of interval in average velocity formula.

Q: Q4) find at t= from the following functions, x= cost . y= 1+sint

A: Given that  x=cost  y=1+sint  To find the d^2y/dx^2 at t=π/2

Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

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Q: The derivative dy for the function y=($ +5> 515

A: Here we will use power rule to differentiate

Q: For the pair of functions, find the derivative of the composite function k(t(x)) in terms of one…

A: Given,            K(t) = 4.4t3 - 8t2 + 5t - 11             t(x)  = ln x              dtdx = ddxln x…

Q: Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Time (sec) in (w)…

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2300t – 270r where t is in…

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Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: The velocity of a particle moving along a straight line is given by v(t) = 6t² + 4t – 5 cm/sec at…

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Q: Assume a particle’s position is given by f (t) = −4 / t, where t is measured in seconds and f (t) is…

A: The velocity of a particle is found by differentiating the position function of a particle,…

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

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Q: height of a projectile launched into the air is given by f(t) = - 16t + 225t + 10, where t is the…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line,…

A: The velocity function, in feet per second, is given for a particle moving along a straight line,…

Q: 1. For the square root function f(x) = VT, (a) calculate an equation for the secant line connecting…

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Q: The rate of snow accumulation over a two hour period is given by R(t) = t − t^2 + 1 (inches/hour),…

A: R(t)=t-t2+1

Q: If a ball is thrown into the air with a velocity of 14 m/s, its height (in meters) after t seconds…

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Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

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Q: The time it takes (in hours) to travel from bridge A to bridge B can be approximated by, T(v) = 119…

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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 displacement (in feet) of a particle moving in a straight line is given by s= - 9t + 19, where t…

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Q: Find- for the following function dx x=a(cost + t sint).y=a (sint-tcost)

A: y=a(sint-tcost), x=a(cost+tsint) To find dy/dx.

Q: dx Given the revenue and cost functions R(x) = 26x -0.3x2 and C(x) = 4x + 14, where x is the daily…

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Q: The position function of a golf ball rolling on an incline is given by d(t) = 4t² + 3t, where d is…

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Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

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Q: Engineers have determined that the maximum force t in tons that a bridge can rry is related to the…

A: As per guidelines i can solve only first question

Q: The height h m of a projectile after t s is given by the equation h = 340t – 5.0t? + 6 Use…

A: To calculate the maximum height. (in the given question h = 340t – 5.0t? +6, maybe the ? sign means…

Q: The velocity function (in meters per second) is given by v(t) = t2 - 2t - 3, for a particle moving…

A: We will use formula for the Displacement and distance in terms of Velocity function

Q: Q4) find at t= from the following functions, x= cost. y= 1+sint

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Q: The velocity, v of a body as a function of time, t is given as v(t) = 3e 2t + 2, where t is in…

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Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :-         V = 20-10t            The time (t) when V is between 5 and 15 m/s.…

Q: The distance (in feet) of an object from a point is given by s(t) = t2, where time t is in…

A: Given the distance of an object from an point at time t is given by equation s(t) = t2, where t in…

Q: The position of a moving object is given by the function s (t) = 4t² – 10. What is the instantaneous…

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Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: Find the derivative of the function. Simplify and express the answer using positive s = [(2 – t2)(?…

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Q: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters…

A: To find the velocity function from the position function, we have to differentiate position function…

Q: Find the derivative of the function w=(9r−4)^4. dw/dr=?

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Q: The traffic flow rate past a certain point on a highway is q(t) = 1300 + 2200t – 390,² where t is in…

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Q: Suppose the velocity of an object is given by the following formula: v(t) = 2(t^2) +8t -12 When will…

A: To determine: Velocity of an object is given by the following formula:…

Q: The displacement, 8 in feet, of a particle moving in a straight line is given by 8 = 5t2 6t + 14,…

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Q: The velocity, v of a body as a function of time, t is given as v(t) = 5e4+4, where t is in seconds,…

A: Since, we have been given that v(t)=5e-2t+4-(i), where t is in secondsand v is in m/s.Our Aim is to…