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A train starts off with an initial velocity of u (at km/hr) and accelerates at a steady rate (a = km/hr2) for a time of t hours. Using the ‘area under the curve' method, derive and explain the equation to calculate the distance travelled: Distance travelled, s = ut + ½(a)(t^2).
find the slope, if it exists, of the line containing the pair of pairs. (9,5) and (10, -8)
Use the improved Euler method with h=0.05 to find approximate values of the solution of the given initial value problem at t=0.1,0.2,0.3, and 0.4 y'=3+t-y, y(0)=1.
Evaluate the coordinate of centroid using multiple integral method - Find the z- coordinate of the centroid of T
You are driving to Columbia, SC and due to a traffic jam can only go 30 Mph for the first 20 miles. After that you drive the remaining 90 miles at 60 mph. Sketch a graph of distance versus time and one of speed versus time.
Calculate the amount earned by a principal.
Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
find the area of the parcel of land that is , the area under the curve y=x^3+1 over the interval 0 and 1 where x and y are in hundreds of feet. If the land in the parcel is appraised at RM12 per square feet, what is the total value of the parcel? ..
find the equation for those products and CPI, & use those equations to predict the average cost of each product for the year 2020.
A toy rocket is launched straight up from the top of a building 64 ft tall at an initial velocity of 243 ft per sec. Using the function V(x)=-16t^2+vt+h, answer the following.
The size of a certain bacteria culture doubles each hour. If the number of bacteria present initially is 3000, how many would be present at the end of 6 hours?
Four number are drawn at random from a box of ten numbers 0, 1,....,9. Find the probability that the largest number drawn is a six.
Choose ten of your friends, and make a graph where the edges represent two friends being Facebook friends. (Do not include yourself in the graph). Order your friends alphabetically, and label the vertices v1, v2, ..., v10 respectively.
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