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The parametric vector form of a B-spline curve was defined in the Practice Problems as
a. Show that for 0 ≤ t ≤ 1, x(t) is in the convex hull of the control points.
b. Suppose that a B-spline curve x (t) is translated to x (t) + b (as in Exercise 1). Show that this new curve is again a B-spline.
Dividing a complex number with another number
Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this product is 35 hours.
how far downstream does the boater finally land? (Hint: if x is the cross- stream position of the boat and y is its downstream position, find an expression for dy/dx. Then solve for y(x)).
find the distance between A and B
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
A car traveling along a straight road at 51 ft/sec accelerated to a speed of 65 ft/sec over a distance of 330 ft. What was the acceleration of the car, assuming it was constant?
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
budget to rent business space and pay for utilities. Write an algebraic expression that indicates how much money will be spent on business space and utilities. Do not solve.
How can write co variance using summation notation
Use a 0 to 3rd order Taylor Series to approximate: f(x) = 5x3 - 3x2 + 4x - 11 at x=2 from x=1. What is the true percent relative error for each order of approximation?
Find the equation of the plane passing through (3,4,-1) and parallel to the vectors A=2i+j+k and B=i-3k.
what is the probability that the mean breaking strength of the 5 untreated specimens exceeds 50 pounds? what is the probability of the mean breaking strength of the 5 treated specimens exceeds 50 pounds?
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