Homework Answers
Since the y-axis passes through the centre of the semi-circle, the angle will be π/2.
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The angle between the hyperbolic geodesics: the y-axis and the semi-circle given by x^2 + y^2...
Recall that the upper half plane H ((x, y)ly > 0) gives a "model" for hyperbolic space. In this m...
Recall that the upper half plane H ((x, y)ly > 0) gives a "model" for hyperbolic space. In this model, distance decreases as one moves up (i.e. the distance between (0, 1) and (1, 1) is 1, the distance between (0,2) and (1,2) is 1/2, and the distance between (0, y) and (1, y) is 1/y. Draw a picture to see that this is strange.) The geodesics on H are given by (1) half circles with center somewhere on the...
1. The area between the part of the curve-6x 8 above the x-axis and the x-axis itself is 2. The a...
1. The area between the part of the curve-6x 8 above the x-axis and the x-axis itself is 2. The area below y 4x -x and above y 3 (for1 xS 3) is revolved around the x-axis. 3. The areas between the following portions of curves and the x-axis are revolved around the revolved by an angle 2π around the x-axis. Find the volume swept out. Find the volume swept out. y-axis. Find the volume swept out. (a) y- betweenx...
A volume is described as follows: 1. the base is the region bounded by x y2 + 6y + 109 and x-y2-26y + 187; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this...
A volume is described as follows: 1. the base is the region bounded by x y2 + 6y + 109 and x-y2-26y + 187; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. Preview volune
A volume is described as follows: 1. the base is the region bounded by x y2 + 6y + 109 and x-y2-26y + 187; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the...
2. For an angle on the plane with vertex at origin and initial side on x-axis,...
2. For an angle on the plane with vertex at origin and initial side on x-axis, when is the angle equal to its reference angle and when is it not equal to its reference angle? In your answer, in 4 – 6 sentences, also briefly describe or define a reference angle. (IF NEEDED HERE IS PREVIOUS QUESTION) 1. Which of the following equations corresponds to the given transformations of cosine? Amplitude is four, period is 2pi/3, right shift pi/6,...
Calculus question! A volume is described as follows: 1. the base is the region bounded by y = -x^2 + 4x + 76 and y = x^2 - 20x + 116; 2. every cross section perpendicular to the x-axis is a semi-circl...
Calculus question! A volume is described as follows: 1. the base is the region bounded by y = -x^2 + 4x + 76 and y = x^2 - 20x + 116; 2. every cross section perpendicular to the x-axis is a semi-circle. Find the volume of this object.
What is the angle between the given vector and the positive direction of the x-axis? (Round...
What is the angle between the given vector and the positive direction of the x-axis? (Round your answer to the nearest degree.) i + voj 30 o X Need Help? Read It Watch It Talk to a Tutor
The intersection between the surface x + y + 2-2 and the circle x² + y2...
The intersection between the surface x + y + 2-2 and the circle x² + y2 = 4,2=0 is Your answer: The point (2.0.2) The point(0,0,2) The point (2,2,0) O The points (0.2.0) and (2,0,0) The point(0,0,0) The point (0,2,0) The point (2,0,0) O No intersection points Clear answer
Only need prob 4 3. Geodesics on the sphere. Consider the 2-sphere with coordinates (0,0) and...
Only need prob 4
3. Geodesics on the sphere. Consider the 2-sphere with coordinates (0,0) and metric dsa = aʼ(do? + sin? 0d$2) Note that a is the constant radius of the sphere. (a) Show that lines of constant longitude (ø = po = constant) are geodesics. (b) Show that the only line of constant latitude (0 = 0o = constant) that is a geodesic is the equator (@0 = 7/2). 4. Parallel transport on the sphere. Consider the 2-sphere...
4 Th e centre of a circle lies on the line 3y-4x-11 and the circle intersects the y-axis at the p...
Help me solve this question asap
4 Th e centre of a circle lies on the line 3y-4x-11 and the circle intersects the y-axis at the points (0,-1) and (0,11) a) Find the equation of the circle. b) Find the possible values of λ such that the circle passes through the point 4 marks] 2 marks] c) Find the coordinates of the points where the circle meets the line y-x-11-0 [4 marks]
4 Th e centre of a circle lies...
1. Find the area between the graph x(t)=t^2, y(t)=t^2 + 2 and the x-axis when 0...
1. Find the area between the graph x(t)=t^2, y(t)=t^2 + 2 and
the x-axis when 0 is less than or equal to t and t is less than or
equal to 4.
2. Find the surface area when the curve, x(t)=e^t + e^-t; y(t)=5
- 2t with 0 less than +t which is less than or equal to 3 and
rotation about the x-axis.
Please answer both problems if possible with work. Thank you in
advance.
1. Find the area...
Recall that the upper half plane H ((x, y)ly > 0) gives a "model" for hyperbolic space. In this model, distance decreases as one moves up (i.e. the distance between (0, 1) and (1, 1) is 1, the distance between (0,2) and (1,2) is 1/2, and the distance between (0, y) and (1, y) is 1/y. Draw a picture to see that this is strange.) The geodesics on H are given by (1) half circles with center somewhere on the...
1. The area between the part of the curve-6x 8 above the x-axis and the x-axis itself is 2. The area below y 4x -x and above y 3 (for1 xS 3) is revolved around the x-axis. 3. The areas between the following portions of curves and the x-axis are revolved around the revolved by an angle 2π around the x-axis. Find the volume swept out. Find the volume swept out. y-axis. Find the volume swept out. (a) y- betweenx...
A volume is described as follows: 1. the base is the region bounded by x y2 + 6y + 109 and x-y2-26y + 187; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the volume of this object. Preview volune
A volume is described as follows: 1. the base is the region bounded by x y2 + 6y + 109 and x-y2-26y + 187; 2. every cross section perpendicular to the y-axis is a semi-circle. Find the...
What is the angle between the given vector and the positive direction of the x-axis? (Round your answer to the nearest degree.) i + voj 30 o X Need Help? Read It Watch It Talk to a Tutor
The intersection between the surface x + y + 2-2 and the circle x² + y2 = 4,2=0 is Your answer: The point (2.0.2) The point(0,0,2) The point (2,2,0) O The points (0.2.0) and (2,0,0) The point(0,0,0) The point (0,2,0) The point (2,0,0) O No intersection points Clear answer
Only need prob 4
3. Geodesics on the sphere. Consider the 2-sphere with coordinates (0,0) and metric dsa = aʼ(do? + sin? 0d$2) Note that a is the constant radius of the sphere. (a) Show that lines of constant longitude (ø = po = constant) are geodesics. (b) Show that the only line of constant latitude (0 = 0o = constant) that is a geodesic is the equator (@0 = 7/2). 4. Parallel transport on the sphere. Consider the 2-sphere...
Help me solve this question asap
4 Th e centre of a circle lies on the line 3y-4x-11 and the circle intersects the y-axis at the points (0,-1) and (0,11) a) Find the equation of the circle. b) Find the possible values of λ such that the circle passes through the point 4 marks] 2 marks] c) Find the coordinates of the points where the circle meets the line y-x-11-0 [4 marks]
4 Th e centre of a circle lies...
1. Find the area between the graph x(t)=t^2, y(t)=t^2 + 2 and
the x-axis when 0 is less than or equal to t and t is less than or
equal to 4.
2. Find the surface area when the curve, x(t)=e^t + e^-t; y(t)=5
- 2t with 0 less than +t which is less than or equal to 3 and
rotation about the x-axis.
Please answer both problems if possible with work. Thank you in
advance.
1. Find the area...
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