Find the derivative of g in the direction of a = 2i+ curl w at point (0 where น u+2 8 = In- J u = z(xy + z²), w = cos U= x W = cosi+: yz xe + ¹j+xyz k

Q: Find the directional derivative of f(x, y) = (xy)^1/2  at P(6, 6) in the direction from P to Q(9, 2)

A: The directional derivative (D.D) of function f at point P in the direction of vector a is given by,

Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

A:

Q: Find the tangential and normal components.  r(t)=(t+1)i+2tj+t^ 2 × k     ,   t = 1

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Find the maximal directional derivative magnitude and direction for the function…

A: Consider the given function and point, f(x,y)=x3+2xy-cos(πy),(3,0) Now, find the derivative with…

Q: Find the gradient of cos(xy) – 3y4 + 3 at the point (1,4) -

A:

Q: Determine order and degree * d'y d'y + cos dr? dr? 2 O 5 undefine- Not linear

A: The degree of a differential equation is the power of its highest derivatives.

Q: apply linearity property of laplace in the equation f(t)= t cos 2t and f(t)=t^2e^-3t

A: f(t)=t cos 2tf(t)=t2 e-3t

Q: The direchional derivative of the salan funchion at (l,-1,0) in the direction (i-j+2k) is xy- z- xyz…

A: Given that  Let f(x,y,z)=x^2y-y^2z-xyz To find the directional derivative at point

Q: + Find the maximum value of isu = Sinn Siny Sincnty) U

A: The given problem is to find the maximum value of the given function u=sin(x)sin(y)sin(x+y).

Q: Express dw/ðu and əw/dv as functions of u and v both by using the Chain Rule and expressing w…

A:

Q: linearise R = AT + BT

A: To linearise the below equation. R=AT+BT2

Q: Find the directional derivative of ø = x² + y² + z² at point (1, 2, 1) for a direction determined by…

A:

Q: vative of o = P(1, 1, 1) in t 3 = Z

A:

Q: 4. Let f (x) = x³ -x² + 5. a) Find the y-intercept of f. y-intercept: b) Find f' and f", and…

A: Topic: calculus As per our guidelines we are supposed to answer only three subparts of a question.…

Q: Find the tangent vector for the position vector r(t)=ln(1-t)i+(t-t^3)j+e^-3t k

A: Explanation of the answer is as follows