1. y = e¯*“ and the x – axis is revolved about the y – axis. (Answer: 1 c. u. )

Q: Sketch the region R bounded by the curve y=x2 and the line y=1. Find the volume of the solid…

A:

Q: Find the Volume of the solid obtained by rotating the curve 1 for 1 < x < 4 1+ x2 around the line r…

A:

Q: y = e-x and the x axis is revolved about the y - axis. (Answer: t c. u.)

A:

Q: z2 = 9 and outside the cylinder x? + y? = 1.

A: coordinates, x=r cos θy=r sin θz=2 x2+y2=r2cos2θ+sin2θ=r2x2+y2+z2=9r2+z2=9⇒z=±9-r2 x2+y2=r2⇒r=2

Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

A:

Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Find the volume formed by rotating the region enclosed by: y = x² and x = y² about the line x = −6

A:

Q: Calculate the volume of solid Q limited by surface z

A: Consider the solid Q: Clearly, 0≤z≤11+x2+y2Let x= r cos θ       y=r sin θ⇒x2+y2=r2Projection on the…

Q: (a) y || 8 x = 2, y = 0; (b) y = 7-x², y = 3; about the line x = -2. about the x-axis.

A: