ラ のut ニ %3D uCost)=0 ,ucLit>=0,Ux(X10) =f Cx)

Q: What is the degree of f (r, y) = (r + y³)' %3D

A: Given query is to find the degree of function f(x,y).

Q: fx*V5-x°dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use the…

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: p(z^2<z) equals?

A: To find: The  z- statistic is given as follows

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: Question 3.5: Calculate o dz. Question 3.6: Calculate o 1 - dz .

A:

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

A:

Q: 3 max z = -x + 3x2 X1 - x2 5 4 X1 + 2r2 2 4 s.t. X1, X2 2 0

A: Maximum to find using graphical method

Q: Ex Fezy)= 3x+ 8x fom <2) F(Zx).2 8+ x9 =

A: Given: f2x=3x2+8x For finding value of f'2, we differentiate given function with respect to x

Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: Let h(t) = 3t3.2 7t-3.2 %3D | Then h'(t) is h'(1) is s! (7),.4 and h''(1) is

A:

Q: Show that is Reciz) e -ImZ p (ii) Im(iz) = Relz). %3D

A: Solution:- we have to show that  (1)    Re(iZ) = - ImZ (2)    Im(iZ) = Re(Z) where , Z = x + iy

Q: 1 dx 5x² – 3 Find |

A: ∫1x5x2-3dx

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

A:

Q: Ql Find se dx |

A:

Q: Star tan 5t dtl

A:

Q: Compute * sin x dx. x4 + 1 p.v.

A:

Q: Lion 1-y If x = Show that 1+y dy V1-y

A:

Q: Evaluate the following limits or indicate that they diverge. (a) lim 2² 1+∞ (b) lim ∞04-1

A: It is known that: limx→∞lnxx=0 and limx→∞1ex=0. If limx→af(x)g(x)=∞∞, then using the L'Hopital's…

Q: how is v^t calculated

A: In the calculation of actuarial present value of a pension that pays $50,000 per year as long as at…

Q: Differentiate, hcx) = In (x-Vr

A:

Q: Is the function 3Sin26x a special function of the operator d? /dx? ?

A:

Q: - SxV4=x°dx

A:

Q: Solve the given O.D.E. by the method of "Variation of Parameters"; 1 Y" - 4 Y' + 4 Y = [12 x2 -…

A: The solution is given as