Show that the differential form in the integral is exact. Then evaluate the integral. (1,2,3) 5 5x¹y dx + (x³ -z¹) dy - 4yz³ dz (0,0,0) Compute the paruar derivative. ƏM = 0 əz Compute the partial derivative. ap = 0 ax Compute the partial derivative. ƏN = 5x+ ax Compute the partial derivative. ƏM = 5x ду Select the correct choice below and fill in any answer boxes within your choice. (1,2,3) 5x¹y dx + (x³ - z¹) dy - 4yz³ dz = A. (0,0,0) (Type an exact answer.) B. The differential form is not exact.

Q: 2. Let A M, (R) be given. (a) If AA¹ On, prove that A-0₁. Does this hold if A € M₁(C)? (b) Suppose…

A: (a): If we put A=(aij)1≤i≤j≤n , then At=(bij), with bij=aji , so by…

Q: A string of length 15 cm is stretched between two points as shown in Figure 1. A point P on the…

A:

Q: Let K be an extension of be an algebric element o 2 F Show that a ² is algebr

A:

Q: Let g and h be both differentiable functions. Also g, h e R. Suppose that g' = h and h' = -g on R.…

A:

Q: - -2-4 For matrix A given by 1 -2 1 2 3 -6 3 6 Find Column space, Null space and Row space of A Also…

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

Q: 3x+4y-2z+ cos6x+9 exp(x)=-9 5x+2y+z=-3 x-y+5z=-11

A: Note:- This system contains some trigonometric terms. so, we'll use graphical method for solution.…

Q: 3. Find the maximum and minimum values of z-a 1-āz on 2 ≤ 1 (where a with la| < 1 is fixed)

A:

Q: Find the value of following the integral: ☎ COS²T -π1+a* S². dx,a>0

A:

Q: Write the general solution if the ODE and its solutions are given as follows. y (4) + y" = 0 ;…

A:

Q: Suppose that f and g are both continuous functions. Also f, ge [a, b] and b that f f = fg. Prove…

A:

Q: Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm.…

A:

Q: A S B 15 D 11 18 19 16 10 Given the Venn diagram as shown above, answer each of the following…

A:

Q: Consider the piecewise function 2+x² x<0 x=0 g(x) = 1, 2-³, 0<x< 1 2-x x 21 (a) For each of the…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. z = x² + y² − 4, z = 8…

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

Q: 2x=4(mod 7) The values of X that makes the statement true is/are Or there’s no solution

A:

Q: C. Identify each angle without actual measuring 2. 5. 4. 7 A four pairs 3 point c Analyze an L The…

A:

Q: [x√1 + x² dx Find the integration in the Simpsons method when n=3 Then compare the integral with the…

A:

Q: Find the 4-point discrete Fourier transform (DFT) of the sequence x(n) = {1, 5, 3, 1}.

A:

Q: Hence, find the distance between this point and point Q when a > 2.

A: This is a problem with the Application of derivatives.

Q: Q: In usual topological space (R.Tu). answer the following: 1- Is [0,1] is compact set in R? Why?…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: 2°) Write the volume integral of the solid bounded by 2 = √√√x² + y²² and == √√2-x²-y²², in a)…

A:

Q: A = {0,2,4,6} B = {{0},{2}, {4}, {6}} C = A ∪ Ø D= A ∪ {Ø} E= {n ∈ ℕ | n² ∈ ℕ} F= {n² ∈ ℕ | n ∈ ℕ}…

A: We will do it by simple definition of subset of sets.

Q: [20x (5x² + x − 2)¹dx

A: Indefinite integral: When an integral does not have the upper limit and the lower limit of…

Q: properties to evaluate : 8 (In x)3 dx

A:

Q: LEARNING TASK A Directions: Write Yes, if the two triangles are congruent and No if not. State the…

A: State the congruency of the figure 1.

Q: 8. Show that for any orthonormal sequence F in a separable Hilbert space H there is a total…

A:

Q: B: 3:Use Gamma & Beta properties to evaluate : f (In x) 3 dx

A:

Q: 1 8) Find the Laurent series of f(z) = (2-1)(z-2) if 1 < |z| <2

A: Here we have to find laurent series of f(z) in given interval

Q: If K is a finite extension of a field F, then the group G (KF) of F K is finite and o[G (KF)] ≤…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: A = {{]-[~-3²2)} and A²={_-¹,1],[9]}. If B=[82] is the matrix representation of linear operator Z:…

A: Given that A = 11 , -23 and A' = 1-1 , 01. Also given that B = 3204 is the matrix representation of…

Q: TIN (2-1)(z-2) +-+-22+ z+ + <<

A:

Q: B 15 5 U A O 11 19 18 16 10 Given the Venn diagram as shown above, answer each of the following…

A:

Q: = 238 and the 93rd term is 539. S

A:

Q: The degree of precision of the following quadrature formula is: Ο 2 Ο 4 Ο 3 Οι Ο Ο Ο Ο 3h 3h Jo"fdx…

A: Given quadrature formula is ∫03hfxdx=3h4f0+3f2h. Let fx=1 then f0=1=f2h. ∫03hfxdx=∫03h1dx=x03h=3h.…

Q: 2°) Write the volume integral of the solid bounded by 2 = √ x² + y²² and Z= √2-x²_y2¹, in a)…

A:

Q: Find a differential equation that corresponds to the given lirection field. Consider differential…

A: Solution :

Q: 3- The interval (0,1) in (R, T;) is: a- Compact subspace, b- Connected subspace, c- Both a and b, d-…

A:

Q: Solve the following initial value problem. = Y -5y1 + y2 y₂ = -2y₁ - 2y2 y₁(0) = 1, y₂(0) = 3.

A:

Q: answer letter b Note: y(pi/2)=y'(pi/2)=y''(pi/2)=0

A:

Q: The difference equation given Ayt = ayt-B can be written as

A: This is the question of generating function, difference equation, counting and finite math.

Q: Proldom nog y(x) Find y as frofx ly "" + 64y' = 0; y(0); y'(0) = 24; y²¹ (0) = 0 ia (32) ma 08-…

A:

Q: An open box with a volume of 128 cm3 can be made by cutting a square of the same size from each…

A: Square: A closed and two dimensional shape with four equal sides is called a square. Each angle of…

Q: Find the values of x for which the gradient of the tangent to the graph of y=f(x) is equal to the…

A: We have to find the values of x for which the gradient of the tangent to the graph of y=f(x) is…

Q: Let T: R³ → R³ be a linear operator and B = [v₁, V2, V3] a basis for R³. Suppose 0 T(v₁) =_=A T(v₂):…

A:

Q: Let D be the portion of z = 2x + 5y inside z2 + y² = 1, oriented up, and let F = (y, z, -z). Compute…

A:

Q: 3. Find the maximum and minimum values of |-| on |z| ≤ 1 (where a with lal < 1 is fixed) 1

A:

Q: The temperature, 7 °C, in an office is controlled. For a particular weekday, the temperature at time…

A:

Q: Determine whether or not the below series converges or diverges. If

A:

Q: Give an example of a differentiable function g: R → R such that f is strictly ncreasing on R but g'…

A: