The displacement of a particle moving back and forth along a straight line is given by the motion equation s(t) = 2t^2 + 5t – 1 meters, where t is time in seconds. The value of the average velocity during the time period (0, 1] is s(t) = 2t2 + 5t – 1

Q: Find the root of an equation f(x)=x²-2x-5 between 0 and 4, using Secant method, accurate to 3…

A: , We have to find root using secant method.

Q: To determine the weather, a meteorologist uses the function T = x^2y^3z, where T represents the…

A: Given the function T = x2y3z. Find the rate of change of temperature in the direction (-2,-1,2) and…

Q: x + + 8)(6y – 1) = 0 find the second derivative %3D

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

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Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: One boat is 20 nautical miles due North of point A traveling toward point A at a rate of 15 nautical…

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: If f(t) = t^2 - 5t + 4 represents the rectilinear motion of a particle, the particle changes…

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Q: Q1/ If the position of the particle which moving as function to the time can be expressed by the…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: estimate the instantaneous rate of change at the point indicated

A: To find the instantaneous rate of change we will find y'(x) We use the power rule

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: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

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Q: d Find {1+ 2x + 3x*} dx Find the equation of the tangent to y = 1++ 2x + 3x4 at the point with…

A: Since there are multiple questions present and you have not specified which question to answer,…