4. A wheel is rotating about the line y = x, z = 0 with angular speed w = the velocity and speed of a body at the point (4, 2,-2). 10 sec-1. Find

Q: Proof of angular Simple harmenic motion.

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Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

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Q: What is the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

A: What is the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

Q: What is the length of the transverse axis?

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Q: Explain how to plot (r, θ,) if r > 0 and θ > 0.

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Q: (i) Determine the required initial angle of inclination (in degrees) of the projectile (ignore air…

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Q: find parametric equation (cartesian) for tagent line to r=cos(2theta) at theta=2

A: The equation of the tangent line is

Q: Find the unit tangent vector to the curve defined by F(t) = (4 cos(t), 4 sin(t), 3 sin (t)) at t = 3…

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Q: SOLVE STEP BY STEP IN MAT Determine the equations of the lines tangent and normal to the curve…

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Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

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Q: : Find the angle between the lines whose direction cosines satisfy the equations 1+m +n=0,1 + m² -n…

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Q: Abee flies around a room at an altitude of 2 2.3 meters making circles, so that its a coordinate…

A: Solution :  To write the parametric equation to describe the motion

Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =

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Q: (4) Calculate faz, fyy, and fry when f(x, y) = 2x4y³.

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Q: convert parametrici equation in rectangualr form  x=5sin t, y=4cos t

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Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

A: Here I am attaching image so that you understand each and every step.

Q: Let x' = (1, 1, 3) and y' = (-2, 0, -2). calculate the angle between x and y

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Q: Q5/A// Find the distance between the point P =(2, 1, 1) and line L:x = -2+ 5t, y= 2 +4t, z = -3-6t.…

A: Use distance formula

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.