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Question 2 Line 2: **.*** sa Two lines are better and that (1,3,-1) point in the...
ees Question Completion Status: The two long, parallel wires shown in the following figure are separated...
ees Question Completion Status: The two long, parallel wires shown in the following figure are separated by d = 1.00x10m and carry currents of I, = 1, = 5.00 A in opposite directions. Point P, is located the distance 2d from the left of the wire on the left What is the direction of the net magnetic field at point P,? The net magnetic field at point P, points A to the right out of the past into the page...
Question 8 (1 point) Which of the following sets is equal to {1,3}? o {2x +...
Question 8 (1 point) Which of the following sets is equal to {1,3}? o {2x + 1 € Z1-3 < x² < 3} {x² + 1 € Z|XE Z and x < 2} . o {x E N | 2x + 1 <2} o {x? EN|0 < 2x +1 < 3} O None of the above Question 7 (1 point) Let Α = {a, b, c} and consider the equivalence relation R = {(a, 1), (b, b), (c, c), (c,...
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to th...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
Drive Question 60 2 pts The equilibrium reaction below has a Ke-0.000018. At the equilibrium point,...
Drive Question 60 2 pts The equilibrium reaction below has a Ke-0.000018. At the equilibrium point, we would expect to see mostly in the reaction flask. HC2H30 m H + CH302 () HC,H,O, molecules CH:02 "lons both HC,H,O, molecules and Hand C H, , ions in equal amount Hions Hand CH 0,lons Next a 30 dtv A $ 4 2 3 5 6 7 9 w E R T Y C 0 A S D F G H K Z...
Question 4 Consider the lines L, D=1+2, y = 2 – 3t, z = 2+t and...
Question 4 Consider the lines L, D=1+2, y = 2 – 3t, z = 2+t and L2 X = 3 - 4s, y=1+ 48, z = -3 + 48. We will use these lines for the questions 4 and 5. Are these lines parallel? Explain your answer below. B IV A - A - Ix E - C o o x G You HTML 11 x Ⓡ 5E T To 12pt Pan Question 5 9 pts Determine where these lines...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed in the circle C4(0) (b) Are they isolated singularities? If so, which kind of isolated singularity are they (remov- able, pole, essential)? (c) Compute the residue of f at each of these singularities (d) Evaluate the integral f f(2)dz where y is the circle Ca(0) oriented counterclockwise 1.0 0.5 -0.5 Answer key 1. (а) z0,-T, T (b) Yes. Each is a pole of order...
If z is standard normal variable, find the probability. The probability that z lies between -1.25...
If z is standard normal variable, find the probability. The probability that z lies between -1.25 and -1.10. 0.2238 0.0300 0.2222 0.2012 2 0 0 3 4 5 8 W E R T Y S D F G H J K Х С B N M alt
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (...
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
ees Question Completion Status: The two long, parallel wires shown in the following figure are separated by d = 1.00x10m and carry currents of I, = 1, = 5.00 A in opposite directions. Point P, is located the distance 2d from the left of the wire on the left What is the direction of the net magnetic field at point P,? The net magnetic field at point P, points A to the right out of the past into the page...
Question 8 (1 point) Which of the following sets is equal to {1,3}? o {2x + 1 € Z1-3 < x² < 3} {x² + 1 € Z|XE Z and x < 2} . o {x E N | 2x + 1 <2} o {x? EN|0 < 2x +1 < 3} O None of the above Question 7 (1 point) Let Α = {a, b, c} and consider the equivalence relation R = {(a, 1), (b, b), (c, c), (c,...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
Drive Question 60 2 pts The equilibrium reaction below has a Ke-0.000018. At the equilibrium point, we would expect to see mostly in the reaction flask. HC2H30 m H + CH302 () HC,H,O, molecules CH:02 "lons both HC,H,O, molecules and Hand C H, , ions in equal amount Hions Hand CH 0,lons Next a 30 dtv A $ 4 2 3 5 6 7 9 w E R T Y C 0 A S D F G H K Z...
Question 4 Consider the lines L, D=1+2, y = 2 – 3t, z = 2+t and L2 X = 3 - 4s, y=1+ 48, z = -3 + 48. We will use these lines for the questions 4 and 5. Are these lines parallel? Explain your answer below. B IV A - A - Ix E - C o o x G You HTML 11 x Ⓡ 5E T To 12pt Pan Question 5 9 pts Determine where these lines...
Part II. (4 pts) Given the axiom set for the Incidence Geometry as below: Undefined terms: point, line, on Definitions: 1. Two lines are intersecting if there is a point on both. 2. Two lines are parallel if they have no point in common. Axioms: I. Given any two distinct points, there is a unique line on both. II. Each line has at least two distinct points on it. III. There exist at least three points. IV. Not all points...
Math 32-_ Multivariable Calculus HW 3 (1) Consider the two straight lines L1 : (2-t, 3 + 2t,-t) and L2 : <t,-2 + t, 7-20 a) Verify that L1 and L2 intersect, and find their point of intersection. (b) Find the equation of the plane containing L1 and L2 (2) Consider the set of all points (a, y, z) satisfying the equation 2-y2+220. Find their intersection 0 and 2-0. Use that information to sketch a with the planes y =-3,-2,-1,0,...
Log(2+5) 1. Consider function f(z) sin 2 (a) Determine all singular point (s) of f enclosed in the circle C4(0) (b) Are they isolated singularities? If so, which kind of isolated singularity are they (remov- able, pole, essential)? (c) Compute the residue of f at each of these singularities (d) Evaluate the integral f f(2)dz where y is the circle Ca(0) oriented counterclockwise 1.0 0.5 -0.5 Answer key 1. (а) z0,-T, T (b) Yes. Each is a pole of order...
If z is standard normal variable, find the probability. The probability that z lies between -1.25 and -1.10. 0.2238 0.0300 0.2222 0.2012 2 0 0 3 4 5 8 W E R T Y S D F G H J K Х С B N M alt
Question 2 (30 points) Integrate f(x, y,2) xzv2-z2 - y2 over the path C, which consists of two curves, C1 and C2 from (1, 0, 0) to (1,0, 0), then to (-1,3, 0). Curve C1 is only half of the circle2 Curve C2 is a straight-line segment. The parametric equation for G is G: r! (t)-cos t î + sin t k, 0 π Find the line integral: Jcf(x. y,z)ds - (25 points) C2 (-1,3,0)
Question 2 (30 points) Integrate...
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