Suppose that it + [[ f(x, y)dA - 26 and ₂⁹(2, 3)dA R R (A) The value of [kf(x, y) + g(x, y)]dA is [ R (B) It might be the case that f(x, y) > g(x, y) for all (x, y) in R. O True ● False 24. Further assume that k = 7.

Q: Show that 1 п-1 .. 1 X2 x5 п-1 x2 ... =II("; – 2;) i>j 1 n-1 .. •.

A:

Q: Show that f[x0, x1, x2] = f[x2, x1, xo].

A:

Q: f(x) = 8+x 8 - x on [4, 6].

A:

Q: 1 x⁹ Determine the derivative of h. Let h(x) h'(x) = = = 1 9 X 10 Determine the slope of h at x = 2.…

A: h(x)=

Q: Q3) If f(z) is analytic function and u(x, y) = x3 – 3xy find f(z)

A:

Q: If f(z) = (a") + and f(z +y) + f(z-y) Kf(z)f(y), then the 21 value of K.

A: Given that: *f(x)=ax+a-x2 *f(x+y)+f(x-y)=K×f(x)×f(y) Thus, the function f(x+y) is,…

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

A:

Q: Let f(x, y) /150- 4а2 — 2у? 4x? – 2y? Evaluate f(1, 3)

A:

Q: Suppose that f(z, y) = 10z²y² + 8z? + 2y? then find the discriminant of f.

A: We have to find the discriminant of the function of two variables fx, y. It is given that the…

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: xy* Let f (x, y) = if (x, y) # (0,0) and f (0,0) = 0. (a4+6y8)

A:

Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: = Evaluate S₁2₁,22,23] f (2) dz where 21 = −i, z2 = 2 + 5i, zg 5i and f(x + y) = x² + iy

A:

Q: of of and ду Find f(x,y) = Vx + 3y?

A:

Q: Let sin(3x4 + 6y5) if (x, y) # (0,0) f(x, y) x² + y4 if (x, y) = (0,0) Which of the following…

A:

Q: Which graph corresponds to the function given? h(x) = {x², x 1

A: Here we have to draw the graph of the function.

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: what values of k will

A: Given,              f(x, y)=(x+iy)2+x-ikyx+iy

Q: Compute f 3 2 x-5x+6 dx.

A:

Q: Let g(v) = (-v- 3) (6v + 7) Determine the derivative of g. g'(v) -12v- 25 OF Determine the…

A:

Q: 3. ſ(4 csc2x cot2x + 2sec² 2x)dx A. 2 tan2x – 4 csc2x + C C. tan2x – 2 csc2x + C B. - tan2x + 4…

A: To evaluate:∫4 csc 2x cot 2x+2sec22xdx

Q: 2n- X 2n 3. Let f(x)- x-x +... + xxx-ax+b. Which value for'the pair (a,b) will X guarantee that the…

A: At x=1 the graph of f(x) touches x axis. This means at x=1, f(x)=0Or, f(1)=0From it we get equation:…

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: 1. express the given function in the form f(z)= u+iv a) f(z)=6z-5+9i b) f(z)= z+ (1/z) c) f(z)=…

A: We know that z = x + iy We express the given function in the form f(z)= u+iv, where u = u(x,y) and v…

Q: Plot the point whose polar coordinates are given. (4, 9/4)

A: The objective of the question is plotting the point in the polar co-ordinates and choose the correct…

Q: Let g(v) = g'(v) 0-5 9-v Determine the derivative of g. 4 (-v+9)² 0 Determine the slope of g at v =…

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: 4- (a) Show that XYX = -Y and (b) show that [XY,YZ] = -2iY.

A: a) To show that XYX = -Y, we can use the definition of the commutator [X,Y] = XY - YX and the…