OC userin Calculus·16 Feb 2019 Problem 2 [6 points]. Find parametric equations of the following lines. a) The line through A(1,2,3) and B(-1,3,5) b) The line through A(1, 2, 3) and parallel to the line å® c) The line through A(1, 2,3) and normal to the plane 2x 3y z+3-0
OC userin Calculus·31 Jul 2019 PART 1 Problem 1 [6 points]. Consider the points A(0, 2,1), B(2,1,3), C(1,3,3). a) Find the angle between vectors AB and AC. b) Find the area of the parallelogram with two adjacent sides formed by AB and AC. c) Find the distance from the point B to the line through A and C.
OC userin Calculus·11 May 2019 Problem 3 [6 points]. Find the position function from the given acceleration function a(t) (0,2,6), where r(0)-(1,3,1), v(0) = (2,-1,0).
OC userin Calculus·13 Nov 2019 Print FindHelp Give Fee PART 2 Problem 4 [6 points). Let f(x, y, z) = x2 + 2y2+xyz? a) Find the gradient of f and the maximum rate of change of f at P(1,2,1). b) Find the directional derivative of f at the point P(1,2, 1) in direction from P to A(3,0,0).
OC userin Calculus·21 Aug 2019 forf (1 point) Let F(z)- dt o t2 +5 (a) Find the value of z where F obtains its maximum value (b) Find the intervals over which F is only increasing or decreasing. Use interval notation using U for union and enter 'none" if no interval. Intervals where F is increasing: Intervals where F is decreasing: (c) Find open intervals over which F is only concave up or concave down. Use interval notation using U for union and enter "none" if no interv Intervals where F is concave up: Intervals where F is concave down:
OC userin Calculus·9 Sep 2019 Set 14 16.3 16.4: Problem 6 Previous Problem Problem List Next Problem (1 point) Let C be the positively oriented square with vertices (0,0). (2,0). (2,2) (0,2). Use Green's Theorem to evaluate the line integral
OC userin Calculus·21 Jul 2019 (1 point) a) lf F(x)= -dt, then F,(z)= 22 t 12 b)If F(x) = - dt, then F, (z) = c)If F(x)-/., dt, then F,(z) = t 22+1 c) If F(x) dt, then F,(z) = t cos t
OC userin Calculus·13 Oct 2019 Problem 7 [7 points]. Set up an iterated integral to find the mass of the tetrahedron bounded by 2x+ y+ = 2 and the coordinate planes, with density given by Ï(x, y,z) = + x, (DO NOT EVALUATE THE INTEGRAL.)
OC userin Calculus·17 Aug 2019 x= 8 as mantion eri over c where c is the boundary(positively oriented) of the region defined by y-x and x =8 . een's theorem in plane fo
OC userin Calculus·31 Oct 2019 (1 point) Evaluate the following limit. Enter-l if your answer is-o answer is oo, and enter DNE if the limit does not exist. enter l if your zâ0
OC userin Calculus·20 Sep 2019 Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF for negative infinity, and D for the limit does not exist limo 4x [ln(x + 5)-In(z)] =
OC userin Calculus·3 May 2019Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not evaluate the limit. f(x) = 2x/x2+1, 1 ⤠x ⤠3
OC userin Calculus·3 Sep 2019 Problem 9 [7 points]. Transform the following integral into an integral in spherical coordinates (DO NOT EVALUATE THE INTEGRAL) Jo Jo