Let f(z) = v/4z2-2z + 4 f'(z) = Preview f'(2) = Preview Let f(z) = v/4z2-2z + 4 f'(z) = Preview f'(2) = Preview
3. S how that if z is a complex number, a. Rele)-2 b. Im(2)- 2 2i 2 ίθ d. sin θ 2i
Find an equation of the tangent plane to the cone 4z2 = x2 - 9y2 at the point (5, −1, 2)
1. 2. (1 point) Let f(x,y,z) = 4x2 + xy + yz +5z?. Find the linearization L(x, y, z) of f(x,y,z) at the point (-1, -3, -1). L(x,y,z) = -5x-2y+72-3 Find an upper bound for the magnitude El of the error in the approximation f(x, y, z) ~ L(x, y, z) over the box |x +11 30.04, \y +31 < 0.04, 12 +11 30.04. E 3 (1 point) Let f(x, y) = 3 In(x) +2 In(y). Find the linearization L(av)...
Forums Calendar Gradebook sages Nabandyan 17878> Assessment Du Let f(z)= (5z- 6z) (6+ ) Find f'(z). f'(z)= Preview TIP Enter your answer as an expression. Example: 3x 2+1, x/5, (a+b)/c Be sure your variables match those in the question Get Help: /1) 1) Points possible: 1 This is attempt 1 of 3. Message.instructorabout this qucstion Submit 31 tv MacBook Pro o00 000 DII DD F3 FA F5 F6 F7 F8 F9 $ % A & 4 5 6 7 A
1. The heat transfer in a solid block can be represented by f(x, y,z)- 3x2 28y 4z2. Point M is (-2,3,5). Find the: Maximum decrease of the heat transfer process " Unit vector of the maximum decrease at point M Unit vector of zero change of heat transfer If an iso-surface which describes a region with a heat transfer " " " unit of 7, find a unit vector that is normal to the surface at point M 2. A...
2i (a) Find where M(v) - ( b) Find M() for v 2z? + 2-1-5. - 2i (a) Find where M(v) - ( b) Find M() for v 2z? + 2-1-5. -
Question 1) Find I = z +2 3z - 2 + 3i 22 + (2i - 2)2 - 4i ] dz, C:\z| = 3, CW a. 4πί b. 8πί C. 2πί d. -2π(3 +i) e. 0.0 f. ο g. -4πί h. 6π
Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl Batchelor Math 03 HOME-WORK (for F.E.) Consider the path: c() (a+i,-a+t), e [o,a) a> o, a constant 1.01 Let's ran(c). GIVEN: F: RR, F (.x) a) FIND: F ds Useful formula: ANS 2I(1+/2) ANS: FIND: d b) Egl Page 2 of (19) Egl...
a) Find the real part u(x,y) and imaginary part v(x,y) of f(2)= (1+2i )z? + (i – 1)2 +3 b) Verify if the above function is analytic c) Using Laplace's equation verify if the real part u(x,y) is harmonic.