3. Use the surface integral is Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction of the outward unit normal. F = x*yi + 2y²zj + 3zk; S:r(r,0) = (r cos 0)i + (r sin 0)j + rk, osrs1,0s0s 2n. %3D

Q: 3 1 -1 1 tA = [1 B= [0 1 ‚ nd the least-squares solution to the equation Ax = B.

A:

Q: dy + 0.4y = 3 cos(2t). dt 7. Consider the nonhomogeneous equation (a) Find the general solution…

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

Q: 7. D is bounded by the surface (r + y² + z²)² = a²(x² + y² – 2²). %3D

A:

Q: Suppose X, Y and Z are three independent N(0, 1) random variables and U = X, V = Y + X and W =…

A: Sol

Q: A student attempts to find the shortest distance between A and B as shown below. There are two lines…

A: To find the mistake and to determine the correct solution.

Q: Let: U = (a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B). O (a,…

A: Given that,U=a, b, c, d, e, f, g, h, iA=a, c, d, f, g, hB=b, c, d, e, iThe set A∪B' is determined as…

Q: It is a branch of Mathematics that deals with the study of possible outcomes of an event or set of…

A: We know that the definition of Probability "Probability is the branch of mathematics that studies…

Q: (x – 2)² – In x = 0, [1,2]

A:

Q: Solve for the 4th determinant. (You can use any method)

A: The given 4th determinant is solved as shown below.

Q: Use Newton-Raphson (Newton’s) Method to find the solution to the following within 10−6

A: Algorithm Newton Raphson method Steps (Rule) Step-1: Find points a and b such that a<b and…

Q: please send handwritten solution Q15 complete solution part b

A: Maclaurain Series for the function

Q: hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

A:

Q: equilibrium

A:

Q: There are 10 people in a dinner gathering. In how many ways can they arrange themselves around a…

A: Given Total people = 10

Q: (a) (i) Use Euclid's algorithm to find a multiplicative inverse of 23 modulo 75, and hence solve the…

A:

Q: 6. Given vectors spaces V with bases B and E and W with basis D and a linear transformation T:V→ W,…

A: Sol

Q: QUESTION 2 a b Let G : a,b,c ER, a= 0 and c 0 1 b : 0 1 bER Given that Kis a subgroup of G. Let K…

A:

Q: Find the area of the paraboloid x? + y +z² = 2 by the plane y = 0.

A: The solution is below.

Q: ttempt to use the Root Test to decide whether the series converges. L = lim lan| n00 of the limit L…

A: In this question, the concept of convergence is applied. Convergence The feature of approaching a…

Q: 2.28 Find a set to span the given subspace of the given space. (Hint. Parametrize each.) (a) the…

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

Q: Use variation of parameters to find a particular solution of the DE y/" – 4y + 4y then write down…

A:

Q: If two dice are rolled, find the probability ofshowing a sum of 7 or 11 ? 1/18 7/36 14 2/9

A:

Q: .) Find its domain and range b.) Draw a contour map with the following k values, k=-1,0,1,2,3 c.)…

A: Given function is: fx,y=4x2+y2

Q: Determine the inward column and the outer row for the following linear programming problem Max (Z) =…

A:

Q: The series (-1)"n²n! 2n n=1 O converges absolutely converges conditionally O diverges diverges…

A:

Q: 1. The weekly investment report each company's stocks with its high bid, low bid, closing bid…

A: Average net change= sum of all the net changes/number of terms.

Q: A parent comes to you and asks the difference between percent correct and the national percentile…

A: Concept: Percentage in simple terms can be difined as a number that is out of 100. Maximum marks are…

Q: Suppose that f is a continuous function such that | f(z) dz = -12. Find 1*f (2") dr.

A:

Q: Q6. Which 2 of the series below are divergent ? You must select exactly 2 answers: 23n A. ) (-1)N 1…

A: To  determine which two of the given series are divergent.

Q: Verify Green's Theorem by evaluating both integrals Lv? dx +. - x² dy dA ay ax for the given path.…

A:

Q: please send handwritten solution Q14 complete solution part a

A: Geometric series, find the sum of series

Q: f(x) g(x) -2 1 1 1. -1 4 2 1 9 3 16 2.

A:

Q: For the conical surface 0 = 30°,0 <0< 21,0 <r< 2, the lateral surface area is what?

A: Sol

Q: Let feC-2,2], fo-o. Prove that Max -2

A:

Q: provide a correct solution for the following

A: Introduction: In mathematics, differentiation is the process of determining the derivative, or rate…

Q: Graph the following equations Y = x 2. %3D 3

A:

Q: [1 0] A =La A 1 what is Ak ?

A:

Q: In a 10-item Mathematics problem-solving test, in how many ways can you select 6 problems if you are…

A:

Q: . Apply to the initial value problem y' = -xy + 1, y(0) = 0 three steps of the Picard-Lindelöf…

A:

Q: Find a unit vector u in the direction opposite of (-9,–2, –1). u =

A: Given vector is  -9, -2, -1

Q: Determine if the following tables represent a linear, quadratic.or exponential function. Linear 1.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Shade the region of area from z = -5 to z = 4. Next, using rectangles of unit width, give a rough…

A: To determine a rough approximation of the below integral using rectangles of unit width. ∫−54Qzdz

Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

A: Given- Assume that  dx1dt = x110 - 2x1 - x2dx2dt = x210 - x1 - 2x2 To find-  Graph the zero…

Q: S (3" - 3/a+") Q14. For each of the following convergent series, find its exact sum. Show all your…

A:

Q: -у — (: 3x)dx + curve passing thr• atisfying the diffe -2x 2x in

A:

Q: 7. Isosceles triangle (a) Determine the area of AABC. Note that you will need to use right triangle…

A: The plane figure bounded by the union of three lines, which join three non-collinear points, is…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Obtain the Taylor series for the given function about the point x = 2. You can write the first 5…

A:

Q: Use Laplace transform and its inverse to solve the initial-value problem. y' +y = e²t; y(0) = 0 Then…

A:

Q: 6. Let V be a vector space of dimension n and W a vector space of dimension m. Let L: V → W be a…

A: