2.a) Find Vop if p = In|r]. b) Find Vp if p==. c) Show that V7" = 1.-27. d)Prove that V² (¹) = 0.

Q: 2,-2 2,- 2

A: We have to prove this formula

Q: 2. Find the divections..in.w.hic . fCx,y) = X- a.. Increases.ms..rapidly.at. paint.C1). b. Decrenses…

A: Solution: The given function is fx,y=x22+y22    ......(1)

Q: く3)-9)12> an 41123

A: we have to find the cross product of the given vectors e and f i.e. e x f. also we have to find the…

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: 33. What is the real part of In (2 + j2)? a. 0.785 b. -0.785 c. 1.040 d. -1.040

A: 2+j2=2√2(1/√2 + j/√2) = 2√2(cos(π/4)+jsin(π/4))

Q: The ball B (1; 9) is the same as the interval: A.) ( - 8, 10) B.) ( 8, 10) C.) [- 8, 10] D.) [8, 10]

A:

Q: Sobe it r=3xi -2j+ 2ZK and ferdz where 121=r and div (=) Findallof gwrandt et 12)

A: Given Information -  r→ = 3xi - 2yj+ 2zkf(r) = 8rr→ = rSince r→ = 3xi - 2yj+ 2zk∴ r = 3xi - 2yj+…