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velocity after a ricochet.a particle travelling in a straight line with constant velocity i+j-5k passes through the point (0,0,30) and hits the surface z=2x^2+3y^2.the particle ricochet off the surface, the angle of reflection being equal to the angle of incidence.assuming no loss of speed,what is the velocity of the particle after the ricochet?simplify your answer.
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
Which of the following is not a necessary assumption underlying the use of the one factor between-subject Analysis of Variance technique?
what are the domain and the image of the absolute value function?
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
Suppose T is a Mobius transformation such that the image of the real axis under T is the real axis. Prove that T may be written in the form T(z) = (az+b)/(cz+d) with a, b, c, and d real.
Find all lines through the point (2,1) that are tangent to parabola y=xsquared. What properties of parabolas and formulas do you use to solve this problem?
A plane flying into a headwind travels 216 miles in 2 hours and 42 minutes. The plane does the return flight in 2 hours. Find the speed of the plane and of the wind.
A plane is heading due south with an airspeed of 294 mph. A wind from a direction 51 degree is blowing at 8 mph. Find the bearing of the plane.
If the sales effect for period 5 is $125 million and the carryover effect is 0.25, calculate the total sales impact for period 5.
You wish to deposit $500 per month into an account for 36 months. Assume your interest rate is equal to the prime interest rate.
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
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