(a) Find the arc length function for the curve y = 4(x + 1)³/² with starting point Po(0,4).

Q: Consider the curve f(y) = -y + for 1 <y<2. Find the arc length of the curve.

A: The curve is fy=18y4+14y2 where 1≤y≤2. The arc length of the curve fy on the interval a,b is defined…

Q: find the tangent line of the curve (1– sin(1).tcos(1)) at the vale t(0) = T, (and so at the point(…

A: The curve is defined by the equations: x(t)=(t-sin(t))    and    y(t)=tcos(t)

Q: Find the length of the curve x = e' cos(t), y = e' sin(t), 0 <t < r. Length =

A:

Q: Find the exact arc length of the graph of y==x² -- In(x) where xe[1, 2e].

A: Given : f(x)=14x2−12lnx    on  x∈[1,2e]

Q: 4. a) Find the arc length of the function y = ln(1 - x²) in the interval [0, 1]. b) Find the…

A:

Q: x(t)=sin2((pi/2)-t)  y(t)=cos4((pi/2-t) 0≤t≤pi/2 determine the slope of the curve at t= pi/4…

A: xt=sin2π2-t,  yt=cos4π2-t,  0≤t≤π2 Differentiating with respect to t, we get dxdt=2sinπ2-t·ddtπ2-t…

Q: Find the arc length (8) of the curve 7 (t) = ( – 2e*, – 4e*, – 2e*) fo %3D c - - -

A: Explanation and solutions is given below....

Q: Consider the implicit curve C defined by the equation C: ln(²+1) + ln(y² + 1) = In 5. dy da dr dy'…

A: