V = 4/3*PI*r^3 dV/dt = 12 = 4*PI*r^2*dr/dt = 4*PI*1^2*dr/dt Solve for dr/dt, the rate at which the radius is growing
vboat + vcurrent = 23/3.6 vboat - vcurrent = 23/3 where vboat is the speed of the boat without a current, v is the speed of the current. The first equation models the boat traveling with the current; the second equation models the boat traveling against the current. Use algebr...
graph the function on your graphing calculator. The domain is the set of x values for which the function is defined; the range is the set of y values. Look at the graph and determine the set.
deltaQ = 0; where Q = m*C*T m is the mass, C is the specific heat, T is the temperature 608*C*(Tf-77) + 429*C*(Tf-23) = 0 Where Tf is the final temperature Solve for Tf
The boundaries for phi are 0 to 2*PI The boundaries for theta are 0 to PI
Q = m*C*(Tf-Ti) where Q is the heat, m is the mass of the substance, C is the specific heat, Tf is the final temperature; Ti is the initial temperature. deltaQ = 0 or 5*C(Tf - 10) + 1*C*(Tf - 40) = 0 divide by C: 5*(Tf-10) + (Tf-40) = 0 Solve for Tf.
a) 160 males answered the survey; and 110/160 = 68.75% preferred the current schedule. 140 females answered the survey, and only 50/140 = 35.71% preferred the current schedule, and 90/140 preferred the flex schedule b) One way of describing the preferences is that males are al...
angular momentum of a hoop is m*r^2; the angular momentum of a solid cylinder is 1/2*m*r^2; the angular momentum of a solid sphere is 2/5*m*r^2; the Angular momentum of a hollow spherical shell is 2/3*m*r^2
Volume of air in the balloon = V =(4/3)*PI*r^3 = (4/3)*PI*0.5^3 mass of air displaced is 1.29 * V mass of helium is 0.181*V Upward force due to pressure difference between helium and air is (1.29 - 0.181)*V Sum of forces in the y direction is 0: (1.29 - 0.181)*V - T - 0.0120 =...
F = -k*x where F = force, x is displacement 70.4 = -k*0.0535
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