11.Solve step by stepFind the moment of inertia of the given plane area with respect to the given line or lines.(c) Within x + y² =a²; about a diameterAns. a A/4

We have to find the moment of inertia of the plane area about its diameter.

Answered: 11. Find the moment of inertia of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Please solve...
B. Let C be the curve y = 1 – x², 0< r < 1. If C is rotated about the y axis find the area of the surfaces.
Determine the equation of the normal line to the surface z? = cos(x + 2y) at the point (2, –1,0). %3D
16:24 O * l 87%i Home wroke2.pdf (ans. : a )Vx,0 0; c)x 0) 16. Find the points of intersection of .x' = 4y and y= 4x. (ans.:(0,0,(16,64) 17. Find the coordinates of the points at which the curves cut the axes : a) y=x' -9x' , b) y=(x'-1)(x* - 9) , c) y=(x+1\(x-5} (ans.a)(0,0;(,0,9,0;b)(0,9;(1,0,(-1,),(3,0),(-3,0;c/(0,25;(-10),50) poo0000000oooo000000ooo000000g 20. If flx) = 1/x and g(x}=1/^x ,what are the domain of f, g , ftg , f-g, fg, f'g, g/f, fg and gf ? What is the domain of h(x) =g(x+4) ? (ans.: Vx + 0,Vx> 0,Vxr>0,Vx>0,Vx>0,Vx>0,Vx2 0,Vx 2 0,Vx> 0;Vx>4) 21. Discuss the continuity of : x+- for x 2 (ans.: discontinuous at x=0,2 ; continuous at x=1) 22. Evaluate the following limits : x+ Sinx 1+ Sinx a) lim -* 2x + 5 b) lim x. Sinx c) lim 1-+* tan 3x d) lim N (x+ Sinx ) Vx +1- 2x f) lim 1- Vx e) lim 1-X g) lim(Vn' +1 -n) x' -x (ans.:a)1/2, b)0, c)1/3, d)0, e)1/2, )-1/22, g)0) f(x) for x+ 3 23. Suppose that : flx) = x² – 3x² -4x +12 and h(x)={x- 3 k for x= 3) Find : a) all zeros of…
The area of the surface obtained by rotating the curve e asxsb, about the x-axis is 9. X 1/2 e2 + e 2 dx e2 + e 2 dx 2 e + e 2 dx e2 + e 2 dx 9. e2 + e 2 dx
Q9

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

11. Find the moment of inertia of the given plane area with respect to the given line or lines. (c) Within x² + y² = a; about a diameter Ans. a A/4