Find f (x) satisfying f (x)>x for all x > 1 if it is given that the area bounded by the curve y = f (x). y=x and the lines x = 1, x =t is V1+t? )- 2 -1 sq. units for all t>1.

Q: Illustrate local linearity for the function f (x) = xsinx at x = l.

A:

Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

A:

Q: Evaluate F.dr where F(x, v)=xyi (4, 0).

A:

Q: On what interval(s) is the function y = –2x² + 3x/3 both increasing and concave down?

A:

Q: Show that the maximum value of f (x, y) = x 2 y3 on the unit circle is

A: We should maximize f(x,y)=x2y3 under the constraint gx,y=x2+y2 where x2+y2=1. Now, ∇f=2xy3,…

Q: have found the minimum distance using the second derivative and write a thorough conclusion. to a…

A: Given:    Curve      y=lnx2   Let x,y be point on curve             Another point is 52,0 We know…

Q: Find the lengths of the curves x = (y3/12) + (1/y), 1 ≤ y ≤ 2

A:

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: Find all functions from X = {a,b} to Y = {p,r,t}.

A: Given :- To find all functions from X = a,b to Y= p,r,t.