Extra Credit: 1) Find the distance between P1 (-3,4) and P2 (2.-3). Give the exact value...
Find the distance between (2, -4) and (1,-6). Give the exact distance. midpoint of the line segment that joins points P(2,3) and Q(-2,5).
Please answer all using MATLAB Find the distance between points P1=(3,-1,5)P1=(3,-1,5) and P2=(2.1.-1). Find the distance between points P1=(1.-5,4)P1=(1.-5,4) and P2=(4,-1,-1)P2=(4,-1,-1). Calculate the dot product of c=(-4,-9)c=(-4,-9) and d=(-1,2) — Find the dot product of 2i+j-k and į +2j Example 5 Find the Maclaurin series for (1+x)" Example 4 Find the Taylor series of the cubic function 23 about <= 3.
Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
For 41 and 42 how to give exact form of answer ? Find the distance and the midpoint of the pair of given points. Give your answer in exact form 41) (4.-1) and (2,-7) t 36 Find the missing length(s) in the right triangle. Write your answer in exact form? 42) a +o 2 8 43) 10 cm
Let L1 be the line passing through the point P1(4, 3, 1) with direction vector d=[-1, 1, -3]T, and let L2 be the line passing through the point P2(-1, 2, -5) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. Use the square root symbol '√' where needed to give an exact value for your answer. d = _______ Q1...
You choose a random permutation (p1, p2, p3, p4, p5, p6, p7) of 1, 2, 3, 4, 5, 6, 7, with each of the 7! permutations equally likely. What is the probability that (1 + p1)(2 + p2)(3 + p3)(4 + p4)(5 + p5)(6 + p6)(7 + p7) is even? Give an exact answer as a simplified fraction and justify your answer.
The parametric equations where 0 tl describe the line segment that joins the points P1(x1, y and P2(x2, y2) Use a graphing device to draw the triangle with vertices A(1, 1), B(3, 4), C(1,7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma- separated list of equations. Let x and y be in terms of t.) A to B B to C A to C The parametric equations where 0 tl describe the line...
Let L1 be the line passing through the point P1(5,3, 2) with direction vector d=[2, 1, -2]T, and let L2 be the line passing through the point P2(-3,1,-4) with the same direction vector. Find the shortest distance d between these two lines, and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2)=d. Use the square root symbol '√' where needed to give an exact value for your answer.
Consider the initial value problem y' +y=e-, with y(0) = 0. PROJECT 1.) Find the exact solution to this equation, say 0(x). 2.) Use MATLAB to plot 6(x) in the interval [0.0, 4.0] . Use sufficient points to obtain a smooth curve. 3.) Now create a MATLAB program that uses Euler's Method to approximate the values of $(2) at N = 10 equally spaced points in (0,4). Plot these points on the same plot that was generated in part 2....
Find parametric equations for the line described below. 30) The line through the points P(-1, -1, -1) and Q(7,-5,7) Find a parametrization for the line segment beginning at P1 and er 31) P1(3, 0, -2) and P2(0, 5, 0)