Let r(t) = (t2,1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9,assuming that a(9) = (-7, -2, 2) and a' (9) = (-2, –9, 9)d고r(t)·a(t)\b-9 =Dt=9dt

Answered: Image /qna-images/answer/2ee184b0-3389-4cf9-8f2f-3e4d5a87cb16.jpg

Answered: Let r(t) = (t2, 1 – t, 4t). Calculate…

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

Suppose that x=x(t) and y=y(t) are both functions of t. If x2 + y2 =17, and dx/dt=2 when x=4 and y=1, what is dy/dt? dy/dt=?
Suppose that x=x(t) and y=y(t) are both functions of t. If y=2x2−1, and dx/dt=5 when x=14, what is dy/dt?
suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation with respect to t to determine dy/dt in terms of x, y, and dx/dt. x2y2 = 2y3 + 1
Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point (1,−1). Use Δx=0.03 and Δy=−0.02. What is the exact value of Δz?
Assume x and y are functions of t. Evaluate for dy/dt for 4xy-4x+2y^3, with the conditions dx/dt=-6, x=2 y=-3 dy/dt=??
let f(x,y)= z-sin(xy),x= t, y= lnt, z=e^t-1. find derivative of f directly and by using chain rule at t=1
Let f(x, y) = exy and P(1, 0). Find the maximum and minimum rates of change of f at the point P. In which directions will these rates of change occur?
Determine the first order partial derivative of the following: F(x, y) = cos(e^t) dt and f(x,y,z)=xy^2e^-xz
Suppose that y is a differentiable function of x andw = cos(y6).Express the derivative of w with respect to x in terms of x, y, and dy/dx dw dx dw/dx= A yB sin(yC) dy/dx dy dx A = B = C =
Assume that x and y are both differentiable functions of t . Find dy/dt when x = 16 and dx/dt = 9 for the equation
Find the differential d4y of the function y=x5.

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

Let r(t) = (t2, 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 9, assuming that a(9) = (-7, –2, 2) and a' (9) = (-2, –9, 9) d r(t) · a(t)-9 dt