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: What is the length of the transverse axis?

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Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

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

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

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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

Q: Find equation of plane normal to line = = and pass through line x = y = z.

A: The equation of a plane passing through the point: x0, y0, z0 is defined as ax-x0+by-y0+cz-z0=0,…

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.