Chapter 4.1, Problem 66E

rV1-x² dy dx -1 J-V1-x²

Evaluate y' at the point (2,2) 5x3y - 2x2 = 72

← An arrow is shot into the air and moves along the parabolic path y=x(50-x) (see figure). The horizontal component of velocity is always 80 ft/s. What is the vertical component of velocity when (1) x= 15 and (ii) x= 35? (1) Calculate the derivative of y=x(50-x) with respect to time. dy dy dx dt dx dt dy The vertical component of velocity at x = 15 is (Simplify your answer.) dy (ii) The vertical component of velocity at x = 35 is dt (Simplify your answer.) ▼ ▼ *** A 600 400- 200+ of 0 10 20 30 40 50

a red coin as a 1 on one side and a 3 on the other. a blue coin has a 0 and 1. let X represent the total of both coins ,Y= number  flipped on the blue coin.  find(x,y) draw the pdf find fx(X) and fy(Y)

a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t, where x is the horizontal direction and y is the upward direction. the projectile lands after  a. 16 seconds b. 8 seconds c. 4seconds

(1+V) 22. dx

particle P moves clockwise at a constant rate along a circle of radius 10 m centered at the origin. The particle’s initial position is (0, 10) on the y-axis, and its final destination is the point (10, 0) on the x-axis. Once the particle is in motion, the tangent line at P intersects the x-axis at a point Q (which moves over time). If it takes the particle 30 sec to travel from start to finish, how fast is the point Q moving along the x-axis when it is 20 m from the center of the circle?

rx+1 Find the equation of tangent line to the curve f(x) = 2 – J2 dt 1+t at the point x = 1.