2 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x, 0≤x≤ 4, about the x-axis. The lateral surface area of is (Type an exact answer, using as needed.)

Q: A body is thrown at an angle α with the horizontal. Neglecting air resistance, determine the angle…

A:

Q: Evaluate + y?)dr – 2rydy if C is the contour limited by y = VT, y = x2.

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?

A: While rotating the triangle around x=0 it becomes a cone

Q: What is the slope of the tangent line to f (x) = 2" +1 at x = 2? O a) 1.5 O b) 3.2 c) 5.1 d) 2.8

A: Solution

Q: Find the acute angle between the planes x + y = 1 and y + z = 1.

A: The acute angle between the planes x + y = 1 andy + z = 1. Use the cosine definition of the dot…

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

A:

Q: The designer of a ski resort wishes to have a portion of a beginner's slope on which the…

A: The designer of a ski resort wishes to have a portion of a beginner's slope on which the…

Q: find enclosed by following curves area Oくx(2て (a) 4= Cog x ;y=2- Cosx ; (b) y = X Sitx? Recall…

A: (a) y=cos(x), y=2-cos(x) Lets graph both equations using graphing calculator Area =∫abupper…

Q: Consider the area shown in (Figure 1). Suppose that a=2.1 in., b= 4.2 in., c = 1.4 in. Figure 1 of 1

A: From the figure we get:

Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx