5. Determine a function v(r, 0, ø) with Av = 0 _in B2 \ B1 satisfying the boundary conditions v(1,0, ø) = 0 and v(2,0, ø) = cos 0 .

Q: • The Doman of f(x) = 4-Vx is 1. (2, co) 2. [-2, c0) 3. [2, 0) 4. [-2,2]

A: The domain is the set of all values of x for which the value of function f(x) exists.   For f(x)=4-x…

Q: Find V· (V × F), if F(x, y, z) = 3e**i+3xe'j – 3e²k. - V·(V × F)

A:

Q: The equations ry? + 8zzcos(u) + ye" = 16 and r*yz + xe" – 5u²v² = 15 are solved for u and v as…

A:

Q: 4. Compute the first fundamental form.

A: Given xu,v=u2-cosv,u+sint, cosv

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

A:

Q: Find the equilibria of x_(t+1)=0.9x_(t) when t= 0, 1, 2, 3 ... and use cobbwebing to determine the…

A: According to the given information, it is required to find equilibria.

Q: Assume that F= (e^x−y)i+ (2y−x)j, C1 is curve from (0,1) to (2,5) along the graph of y=x^2+ 1, and…

A: Given , F=ex-yi^+ (2y-x)j^ C1 is a curve from (0,1) to (2,5) along the parabola y=x2+1 C2 is a line…

Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: Given a differential equation yy'''+2x=tanx. Given differential can be written as yd3ydx3+2x=tanx.…

Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention…

Q: Let g(x) = ax* + bx' + cx + dx + 1 be a polynomium whose graph intersects the points (-2, 4), ( – 1,…

A: We will find out the required solution.

Q: 2. Let z= x²sin2y дz Compute (a) дх (b) дz ду

A:

Q: 4/(A)Find the derivative of f(x, y) = xe + cosxy at the point (2,0) in the direction. дz əz (B)If Z…

A:

Q: What is the largest value of the function f (x,y) = x³y³ on the curve x4+ y^= 1? O 2-1/2 0 3√4 01…

A:

Q: B) Find- for following functions: дz მა 1) z = exy tan y, x = s + 2t, y = s/t. 2) z = x² + xy + y²,…

A: The objective of the question is evaluate the partial derivative of the given functions.

Q: directional derivative

A:

Q: Find the denhetive f fue function: In(G at

A: Explained below

Q: af of H.W: Find and for the functions: b əx ду 1. f(x, y) = (xy-1)² 3. f(x, y) = (x²-1)(y + 2)…

A: Given functions are 1. f(x, y)=(xy-1)2 3. f(x, y)=(x2-1)(y+2) 4. f(x, y)=x(x2+y2)   To Find: ∂f∂x…

Q: dy dalam dr Gunakanlah diferensiasi parsial untuk menentukan pernyataan untuk kasus-kasus berikut:…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Plz give correct solution. Suppose T in L(F^2) and dim E(3, T) = 2. Prove that T is invertible.

A: The transformation is :  The aim is to prove that "T" is invertible.

Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

A:

Q: 1 1 1 1 ++* 1 2 1 1 -2 1 1 Which system of ODEs matches the velocity field above? Ox'= 1, y = x…

A: The velocity field is shown in the picture. Consider, x'=yy'=1 This means: y'x'=1yydy=dx Integrate…

Q: 3. Bir f (1,y, 2) = ee cos 5z fonksiyonu veriliyor. a) grad f (r, y, z) =? bulumuz. b) Bu…

A:

Q: Parameterize the following 1.) cos(z^4)+1y=1 (a surface) 2.) x^2 +5y^2=25 (a curve in R2) 3.)…

A:

Q: what local linearizatoin of the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1)  (show all steps…

A:

Q: 5. Compute the lenght of the curve u = t, v=0 from t = 0 to t = 1 using the first fundamental form.

A: Suppose, a continuous function is provided over a certain interval. The arc length is the length…

Q: = (u² - cos v, u + sint, cos v) x(u, v):

A:

Q: Let F(x, y, z) = x³yz² – 6x?yz + 9xz – 5y°z. Find F %3D xyz Fxyz

A:

Q: Evaluate the path integral SF. dr, where F(x, y) = yi + xj and C is the line segment from (0, 0) to…

A: The given problem is to evaluate the given path integral of the vector field in the given path of…

Q: Draw a direction field for the equation y'=y+x-y^2 for -5 < x, y

A: The direction field is obtained as follows:

Q: Let f(x) = (2a² – 8) (5æ + 8) 13 %3D f'(x)

A: Given:         fx=2x2-865x2+813         differentiating on both sides      f'x=ddx2x2-865x2+813…

Q: Let f(z) = r? – 9z + 5 with domain 0 <r < 4, 5. Calculate (f ')(-3). Note: Round to two decimal…

A:

Q: Use the substitution u=-3x+2y to solvethe differential equation (-3x+2y) y'= - 1. a) Clearly…

A: Given differential equation is: -3x+2yy'=-1. Let, -3x+2y=u. Differentiate both sides w.r.t. x.…

Q: et X=R^(2) and C={(x y)in R^(2):x>=0 y=0}. Show that C is not a generating cone.

A: Given: Let   and .  To show that C is not a generating cone.

Q: 21: dz 22: Find the derivative of f(y,x) = xe?y + cos(3yx) at a point (1,0,7)in the direction of V =…

A:

Q: II. Let f(x, y, z) = z° sin a + Determine 2 dydzərəz'

A: We know, ∂2f∂y∂x=∂∂y∂f∂x