Question 12 Find the moment of inertia of the region between the parabola y = 9 - x2 and the line y = 4 - 4x from x=0 to x=2 with respect to y-axis. Express your answer in 3 decimal places.

Q: A particle moves along the top of the parabola y2 = 2x from left to right at a constant speed of 5…

A: A particle moves along the top of the parabola y2=2x from left to right at a constant speed of 5…

Q: Find an equation, in slope-intercept form, of the line tangent to the curve with parametric…

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Q: 8. y = sin(cos7x) %3D

A: It is given that, y=sin(cos7x)   It is known that the derivative of sinx is cosx and derivative of…

Q: 1. y = 2t2 – 7t3, x = 9t – t5

A: dy/dx and d2y/dx2  are find in next step dy/dx = (dy/dt) /(dx/dt)

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: Find the points on the curve 5x + 5y? - 6xy - 6xy = 4 nearest to the origin.

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Q: Find y in terms of x. dy dx 5x 3/4, curve passes through (1, 10) A) y =- 7/4 א. -714. 5 By = 5x 1/4…

A: The given differential equation is dydx=5x-34. It is given that the curve passes through the point…

Q: Find the curve y if dy = x2 +5, dx + 5, curve passes through (0, 25)***

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Q: Sketch one loop of the curve 9y² = x(3x)² Find the area of the surface of revolution generated by…

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Q: Find the point on the curve y = Vx +1 that is closest to the point (5,0)

A: We will use second derivative test to find the smallest distance among point (5,0) and curve

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: What is the moment of inertia of this area about the line y = -10 ?

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Q: What is the moment of inertia about the x-axis bounded by the curves y² = -16(x-4), the line 8x-15y…

A: here we have to find the moment of inertia about x axis so we can use integration to find this.

Q: Find the equation of normal to the hyperbola        x2 -9y2=7 At the point (4,1).

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Q: 24=y cotx

A: Given differential equation is 2y'=ycotx.......1. We have to find the general solution of the given…

Q: A cycloid has parametric equations z =t - sint, y = 1 - cost, 0 <t< 2x. Find the slope of the…

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Q: A plane area is bounded in the first quadrant by the curves y² = -16 (x-4), the line 8x-15y = 0, and…

A: Given the curve is y2=-16x-4 and the line 8x-15y=0 and x-axis. We have to find the moment of inertia…