13-14 Find the centroid of th 13. YA (4,2) X

Q: 12. 2y' + y = 3t2

A: The differential equation is 2y'+y=3t2. (a) Draw the direction field of the equation 2y'+y=3t2 as…

Q: Find the constants a and b such that the complex function f(z) = x² + ay² - 2xy + bx²i − y²i + 2xyi,…

A: A function f(z)=u+iv is analytic if ∂u∂x =∂v∂y and ∂u∂y =-∂v∂xGiven…

Q: Find the solution to the following equation that satisfies the condition y = The solution is: dy У…

A: Step 1:Step 2:

Q: Quèstion 17 Solve x33) - 6x²y`+19xy` -27y=D0 | Ocgedx + Czx?nx + c3x (inx)? O Gx²+ Czx?inx +…

A:

Q: Question 20 (4 points) 82,433 Find partial derivative Əz Əz of z= f(x,y) =10x-6x2y3-4y². A) 10-12xy³…

A: Step 1:

Q: (d) Calculate the coefficients (B's) by estimating separately the following models (Use the formulas…

A: The coefficients of β's can be estimated by using the method of least squares.

Q: x1, x2, x3...... x20000 iid U(2, 9), find approximation for 2X-20

A: Central Limit Theorem : If X1, X2 ..... Xn are iid random variable with mean μ and Variance σ2 then,…

Q: 2 - Jx - 3 – v 4) lím エ→7 x² – 49

A: Given: ⇒limx→72-x-3x2-49

Q: 8. Describe the symmetry of the 7 points given function * f (x) = 2(x – 1)3 – 4 180 degree…

A: Let's draw the graph of the function  f(x) = 2 (x-1)3-4

Q: Can you explain step by step

A: Step 1:Step 2: Step 3: Step 4:

Q: Z Show that the complexfunction f(z) = ² +4 Z(Z-21) have a removable discontinuity at z=2i

A: Note:- This function does not have removable discontinuity at z=2i.   Given complex function  fz =…

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3) (2z…

A: 3. Given function is 2z+1zz3-5.

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3)…

A:

Q: Define briefly u(t) and 8(t)

A: u(t): u(t) represents the unit step function, which is defined as u(t) = 0 for t < 0 and u(t) = 1…

Q: Q4. (a) Give A = 2xy â, +3â, +z'yâ,, calculate v.AdV as shown in Figure Q4(a). A, (0, 1, 1) (0,0, 1)…

A:

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (z² + 3z – 5)/2³ (3)…

A:

Q: 16. The point (6, -5) is on the graph of y = f (x), what point must be on ay 2f(-x) +1?

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

Q: 7. Find all right cosets of (3) in Z12. Show how they illustrate Lagrange's Thcorem.

A:

Q: 6. Prove: 4 |x – y| 0, then x = y Vx, yER

A: To solve Q.6 Prove: If x-y<ε, ∀ε>0, then x=y ∀x,y∈ℝ If (Given) Then (To prove) ∀ε>0,…

Q: a) f(z) = vz + Vz - 1 b) ƒ(z) = vz² + 9

A:

Q: It is easy to calculate the covariance of X₁ and X₁+7. We get 7(T) = cov(X₁, Xt+T)= (1+0+02)0² (01…

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Q: (2z3 + 8z) Thnction f(z) = has only pole at z = -5i. (2 - 2i)(z + 5i)2 :Select one True False

A:

Q: 8. (p.241, #4) The function f: R → (0, 0) defined by f (x) = e**+1 is bijective. Find its inverse.

A: Replace f(x) with y.

Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: 3z +1 (z+1)(2z – 1)

A:

Q: The function f(x)=/25-x' is contionous on

A: It is continuous function.

Q: Find the residues of the followings functions at z = 0: (1) (z² + 1)/z (2) (2² + 3z – 5)/z3 (3) (2z…

A:

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: Which of the following functions do not form a set of fundamental solutions of y"-4y C Select one:…

A:

Q: (4) Let f₂ = df/az and ƒz = df/az. Recall ƒ = u + iv, the notation f is used for the complex…

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Q: 74 +4 Z Show that the Complexfunction f(z) = Z(Z-21) havearemovable discontinuity at z=2₁

A: The given problem is to show that the given complex function f(z) have a removable discontinuity at…

Q: 3. (Section 17.6) Determine the upward flux of F = through the part of z = x2 + y2 below z = 2.

A:

Q: 42-152+25 Find the oblique asymptote of f (x) :

A: To find the oblique asymptote of the given curve, we perform long division.

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

A: