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With respect to right-handed Cartesian coordinates, [2, 1, 0, b [-3, 2, 0], c [1,4, -2],...
1. Find curl v for v given with respect to right-handed Cartesian coordinates. Show the details of your work (1) v= [4y2, 3x2, 0] (11)v = xyz [x, y, z?] (111) v = (x2 + 2 + z2) -3/2[x. y, z] (iv) v=0.0, e-*sin y) (v) v=(e?,e*?,e-)
coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find the polar coordinates, os02n and ro, of the point given in Cartesian coordinates. 14) 14) (-2, 0) Replace the polar equation with an equivalent Cartesian equation. 15) 15) rcos θ" 11 D) 1ly-1 B) 11x -1 A)x 11 FORM A coondinates all the polar the polnt Cartesian coondinates of the given point 13) B) a, 0) ๑ (.3, 0) Find...
linear algebra Let V (71, 72, 3}, where 71 73=(2,0,3). (1,3,-1), 2 = (0, 1,4), and (a) Prove: V is a basis. (b) Find the coordinates of (b, b2, bs) with respect to V = {71, U2, 3,}. (c) Suppose M and M' are matrices whose columns span the same vector space V. Let b be the coordinates of relative to M. Write a matrix equation that gives b', the coordinates of relative to M'. (Your answer should be a...
show your work 1, if right-handed 0, if left-handed. 10. Suppose the probability for a person to be right-handed is p. Let X = (a) What distribution does X follow? (b) A scientist selected a random sample of 1000 people. Let Y be the number of people who are right-handed, what distribution does Y follow? (c) This scientist found out that among the 1000 people, 100 are right-handed. He then estimated p to be 0.1. What theorem justifies his conclusion....
(a) Find Cartesian coordinates for the polar point (-1, -1) and plot the point. (b) Find Polar coordinates with r > 0 and -1 < <a for the Cartesian point (-1, V3) and plot the point. (c) Convert the equation x2 + y2 = x to polar form and sketch the curve. (d) Convert the equation r = 5 csc @ to Cartesian form and sketch the curve.
(3 points) (a) The Cartesian coordinates of a point are (-1,-V3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0) of the point, where r < 0 and 0 < θ < 2π. Y= (b) The Cartesian coordinates of a point are -2,3) (i) Find polar coordinates (r,0) of the point, where r > 0 and 0 < θ < 2π. (ii) Find polar coordinates (r,0)...
6. Let B = {1+1,-1,1+2+r} and C = {1 - 1,1+1,4 – 2. – 2?} be bases for P2(R). Find the change of coordinates matrix cPp from B-coordinates to C-coordinates.
(m 6. a Find the polar coordinates corresponding to (x,y)-(3, 2) m (b) Find the Cartesian coordinates corresponding to (r, ?)-(4.0 m, 145")
1. Express the point given in Cartesian coordinates in cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)= 2. Express the point given in Cartesian coordinates in spherical coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) = I know we are only supposed to post 1 per question however for this one I have 1 part correct, I just need some help with the rest. Please if you have the time help with question 2. Thank you for your time and knowledge. (1 point) Express the point given...
1. 2. 3. 4. (1 point) Eliminate the parametert to find a Cartesian equation for I=+2 y= 10 + 2t 2 = Ay? + By+C where A= and B = and C = (1 point) Consider the parametric curve: 2 = 8 sin 0, y = 8 cos 0, 0<<A The curve is (part of) a circle and the cartesian equation has the form 2? + y2 = R2 with R= The initial point has coordinates: 3 = !!! ,y=...