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: given by s(t)=−t^2+25 Find the average velocity of the object from t=1.5 to t=3 seconds

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Q: Find f. f"(x)  =2/3x2/3

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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: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

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: Consider the function y = x^3 + 2^2 − 3x a) Sketch the graph of function. b) Find the instantaneous…

A: This question can be solved using the concept of graphs and derivatives.