Calculate the area between the graphs of y = sin(2 · x) and y = 2 · sin(x) on [0, π].
Calculate the area between the graphs of y = sin(2 · x) and y = 2...
Compute the volume of the solid created by rotating the area between the graphs of y = ? and the y z2 between x = 0 and x = 1 around the x-axis.
4. Determine and classify each one of the equilibrium points of y' (y -2) sin y. Sketch the graphs of the integral curves with initial values: y(0) =-T, y(0)--π/2, y(0) = 0, y(0) = π/2, y(0) = 2, y(0) = 3, y(0) = π, and y(0) 4. Label them clearly.
Sketch the graphs of y = x and y = sin(x). Use the bisection
method to find an approximation within to the first
positive value of x with x = sin(2x).
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...
Find the net area and the area of the region bounded by y= 8 cos x and the x-axis between x--2 and x = π. Graph the function and find the region indicated in this question The net area is(Simplify your answer.)
Find the net area and the area of the region bounded by y= 8 cos x and the x-axis between x--2 and x = π. Graph the function and find the region indicated in this question The net...
Question 8 a) Sketch the graph of y=sin(x) and y=sin(2x) for 0<xs. b) Show that the area of the region bounded by these graphs is 4
Set up the integral to represent the surface area of the solid obtained by revolving y=x^2 + sin(2x) on the interval [ 0, (π/2) ] about the x-axis. DO NOT solve.
Area between the curve problems
1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
1. Find the area between y 1/x, y 1/x2 and x 2 2. Find the area between y 8-x2, y x2, x -3 and 3. 3. Find (approximately) the area between y r cos (2) and y
How are these graphs related
a) reflected about y=0
b) reflected about y=x
c) reflected about y=-x
d) all identical
π-2 π-2 π-2 π-2 π-4 π-4 π-4 π-2 π-2 π-2 π-2 π-4 π-4
π-2 π-2 π-2 π-2 π-4 π-4 π-4 π-2 π-2 π-2 π-2 π-4 π-4
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition:
For 0 x π , 0S9, π , and 120 , solve the 2-D wave equation subject to the following conditions. u(0,y,t)-0, u(T.yt):0, u(x,0,) u(x,π, t) 0, 0 Boundary condition: C11 1 u(x),0)-sin(x)sin(2y) + sin(2x)sin(4y), 0 at It=0 Initial condition: