Find the radius of convergence, R, of the series. R = 00 Σ n = 1 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

Which equation solutions need numerical approximation?

Water flow at a water treatment plant is often in the units of gallons per day.   However, in pipe flows, we often need to express water flow in feet per second.   Convert 17,200 gallons per day to feet per second. Round your answer to the nearest ten-thousandth feet/second (i.e., 0.0000).

Write down the cardinal polynomials in the Lagrange interpolation polynomial for the points x 5 1 2 3 y 38 14 20 28 and the Lagrange interpolating polynomial.

A vertical photograph taken from a camera has calibrated focal length f153.206 mm contains an image point "a" of object point A at coordinates x=64.969 mm. y =-78.526 mm relative to the fiducial axes, Calibration sheet shoWS x = 0.247 mm and y= 0.238 mm as calibrated coordinates of principal point. Also, lists the radial lens distortion coefficients K1 2.99778547 x10-08 mm-2 K2-3.15091119 x10A-12 mm-4: K3 H 6.05776623 x10-17 mm-6. Compute the corrected coordinates for the image point "a"

Q1/The pressure drop in pascals (Pa) for a fluid flowing in a pipe with a sudden decrease in diameter can be determined based on the loss of head equation given below: h = 24-11 2g Area A Area A Area A Where: V₂ is the velocity in position 2 (m/s), g: is acceleration due to gravity = 9.81 m/s², A₁ and A₂ are the cross-sectional areas of the tube in position 1 and 2 respectively. A==d² Where: d is the diameter (m). Write a program in a script file that calculates the head loss. When the script file is executed, it requests the user to input the velocity (V₂) in m/s and values of diameters (d, and d₂). The program displays the inputted value of v followed by a table with the values of diameters in the first and second columns and the corresponding values of h, in the third column. 2 2

x is congruent to 21 mod 8. Then x is

Determine the drag coefficient c needed for a parachutist of mass m=68.1kg to have a velocity of 40m/s after free-falling for time t=10s. Note: The acceleration due to gravity is 9.8m/s2. Use the Regula Falsi method

Need correct answer only upvote

The spring in the figure below is stretched from its equilibrium position at x = 0 to a positive coordinate xo. ko HINT x = 0 x = xo PE sn PE 50 The force on the spring is F and it stores elastic potential energy PESO. If the spring displacement is tripled to 3x, determine the ratio of the new force to the original force, and the ratio of the new to the original elastic potential energy, Fo Fo PESO (a) the ratio of the new force to the original force, PE ST PE SO (b) the ratio of the new to the original elastic potential energy,