Find the moment about the x-axis of a wire of constant density that lies along the curve y = √7x from x = 0 to x= 3.

Q: The velocity of a material point that starts moving on a linear trajectory from the point 1 X= 0 is…

A: Given Initial point is x = 0 V = 50-0.5x a = dV/dt = -0.5 dX/dt a = -0.5V

Q: Find a point on the folium x3 + y3 = 3xy other than the origin at which the tangent line is…

A: Implicit differentiating both sides of the equation x3+y3=3xy with respect to x. Use power rule of…

Q: Determine the least radius of curvature of the exponential function y=ex.

A:

Q: What is the gradient of the tangent line to the curve y = 2x³ – 3x2 at the point with a = 2? |…

A:

Q: Find the length of the curve x=t/(1+t),  y=ln(1+t) ,0≤t≤2

A: Given curve x=t/(1+t), y=ln(1+t) ,0≤t≤2. Now we have to find length of curve as shown below

Q: Find the length of the curve y = 4 1 between x 1 to x 2. %3D &x2

A: It is length of curve.

Q: IT Find the length of the curve y= in (cos x ), 0 < x < 4

A:

Q: Find a point on the folium x3 + y3 = 3xy other than the origin at which the tangent line is…

A: Given: Now, And,