The velocity, f(t) in ft /sec, of an object at time t seconds is given in the table below. 1 2 3 4 5 6 f(t) 5 6 8 12 15 a. Use the right hand Riemann sum to estimate the distance the object traveled from time t =0 to t=6, use At = 2. b. Use the left hand Riemann sum to estimate the distance the object traveled from time t =0 to t =6, use At = 2. c. Assume the velocity of the object was strictly increasing, give an estimate of how far do you think the object actually traveled over this six second interval of time? Give a specific number for your answer; do not give an interval answer. Give a clear reason for your answer.

Q: A hot air balloon rising vertically is tracked by an observer located 8 km from the lift-off point.…

A:

Q: use differentials to approximate the vaule of sqrt(25.1)  A. 5.0300 B. 5.0200 C. 5.0100 D.…

A:

Q: 5. The average rate of change of the function y = cos x, from x = A. 0 C. B. - TT 2πt = to to x = is…

A: ;  to .We have to find the average rate of change.

Q: +₁=5, apply three iterations of Ne to find a zero for h. To how many de eloes the third…

A: Introduction: The formula of Newton's Raphson method is given by, xn+1=xn-f(xn)f'(xn) Where f(x) is…

Q: Find the average rate of change of y with respect to x from P to Q Then compare this with the…

A:

Q: The velocity v (in m/s) of a rocket measured at half second intervals is shown in the image below.…

A: Introduction: Suppose, n+1 data points x0,y0,x1,y1,...,xn,yn are given. Then, we can approximate the…

Q: (Excel or MATLAB) Plot the voltage as a function of time and use Newton's divided difference method…

A: Newton's divided difference formula can be defined as:…

Q: The voltage Vin a simple electrical circuit is slowly decreasing as the battery wears out. The…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.