2) The region is defined by y= sin x, y = 0, x= 0, x = T. Rotate the region about the: a) x-axis b) y-axis c) the line x = T d) the line y= 1

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: Describe the image of the line z = 1 + iy under the map flz) = sin z %3D

A:

Q: Guen Kuncbon foo) 28°-loct3. of secant line joining a) Find slope m (2,F(-2) and (0,F (0)

A:

Q: (10) Let f(x, y) = /x-y a) Find the domain and range of f (x, y). Sketch the domain on the x-y…

A: Step:-1 Given that fx, y =x-y Part (a):- The square root function is real when x-y≥0 x-y≥0⇒x≥y⇒y≤x…

Q: 5. Let L₁ be the line with parametric form (x, y, z) = (1, 0, 2) + (-1,2,3), and let L₂ be the line…

A: Given,The parametric form of the line ,The parametric form of the line ,.Aim: (a) To find the angle…

Q: find the sLope Of a tangent line hCx) = x +44 iz

A:

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

A:

Q: GD and GF are common external tangents with points of tangency at D, C, F and E. Why is AGBF AGAE?…

A:

Q: a) Mark the points on the contours where Iz = 0. b 2.

A: A contour line or level curve is the intersection of a surface with a horizontal plane. For example…

Q: ) Find the pdar eawation for the cartesian curve x²-y²= \x?+yz A)rsinz0=2 b)r=ュ )cos 20=1 Dr=cos2@…

A: In polar coordinates, substitute x =r sin(theta) and y= r cos(theta)

Q: What is the equation of the circle that has radius of 8 and centre at(-3, 4)? A. (x +3)2 + (y – 4)?…

A:

Q: 2) Show that W = 1/2 maps the interior of the unit circle in the first quadrant to the exterior of…

A: Note: We will be solving Q 4B (2) only as asked.Consider the function .We need to prove that the map…