Compute22-2 dz, where C is the square with vertices 2+2i, -2+2i, -2- 2i, and 2 - 2i oriented in the positive direction 32-2

Q: = 11. Evaluate ffs (VXF) dS, where F yi + (x-2x³z)j + xy³k and S is the surface of a sphere x² + y²…

A: To compute the integral we use the stokes Theorem:

Q: Use the given information to complete the following table n(A)=40, n(B) 65 n(AUB) 90, n(U)=105 B…

A: Given that, n(A)=40, n(B)=65, n(AUB)=90 and n(U)=105 Now find the following:

Q: How many distinct four-letter "words" can you form using all the letters of SETS?

A: We have to find no of distinct four letter can be formed using all letter of word SETS.

Q: Locate the centroid of the parabola by integration and use integration to locate the centroid of the…

A: We can use integration to find the centroid of the parabola y = x2. The centroid of a curve is the…

Q: 13. y" + 3y' +2y=6_y(0)=1 _y'(0) = 2

A: y''+3y'+2y=6y0=1y'0=2

Q: (a) Use Riemann sum with m = n = 2 to estimate the value of Jk³ 7xe XY dA, where R= [0, 2] x [0, 1].…

A:

Q: EVALUATE: A = Ꮭ Ᏻ 7[ Ꮖ cosx + siny dy dx

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and…

A: To estimate the total amount of oil that leaked from the tank over the interval [0,10], we need to…

Q: Part 1: Find an explicit description of the null space of matrix A by listing vectors that span the…

A:

Q: Leo's Auto Repairs Inc. borrowed $6,600 to be repaid by end-of-month payments over four years.…

A: Since you have posted a multi subparts question according to guildlines I will solve first…

Q: Consider the following data set. x 4.1 5.7 7.3 8.9 10.5 y 7.5 8.3 8.4 8.9 8.9 (a) Plot the data.…

A: We have to given following data x 4.1 5.7 7.3 8.9 10.5 y 7.5 8.3 8.4 8.9 8.9   Formula used…

Q: Using the curve sketching model, sketch= 1. f(x)=x²ex 2. f(x) == x 3. f(x) = ln(4x²)

A: Following functions: 1) fx=x2ex To Find: Use the curve sketching model, to sketch the above…

Q: Find a basis for the null space of the matrix. [10-7-2] A = 01 7-2 00 0 0

A: The given matrix is A=10-7-2017-20000. We have to find the basis for the null space of the matrix.

Q: A. Find y in terms of x if and y(0) = 9. W y(x) sqrt(10x^5+2025)/5 The solution is defined on the…

A:

Q: Given that 3599 = 59-61, determine whether x² = 581 (mod 3599) has solutions.

A:

Q: Prove : if f is strictly monotone on its domain then f is one to one function

A: f is strictly monotone on its domain.

Q: Normalize the state: 14 > = (1 -2i) 1 0 > - 2i 11 >

A: This question asks us to normalize the given state which is a linear combination of the basis…

Q: 313.5 is incorrect

A: Drawing the region R in xy-plane and u-line ,v-line

Q: K NA Solve the initial value problem below using the method of Laplace transforms. (-1) = 0 = 1, y'…

A:

Q: A matrix A is given along with an iterate x5. - [ A = - 3.5 2.5 2.0 3.0 813.500 (a) Use these data…

A:

Q: Use the fact that for points  (a1, b1)  and  (a2, b2)  in the coordinate plane, we can calculate…

A:

Q: 5. Determine all eigenvalues and eigenfunctions of the Sturm-Liouville systems: (a) x²y" + xy' + Xy…

A:

Q: Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D…

A:

Q: Evaluate /// 2xz dV where E = {(x, y, z) | 2 ≤ x ≤ 4, x ≤ y ≤ 2x,0 ≤ z ≤ x+2y} E

A:

Q: Find bases for the spans of the vectors given below from among the vectors themselves. [1 2 −3], [1…

A:

Q: A 320g sample a radioactive substance is placed in a chamber to be tested. After 5 hours, 200g of…

A: A 320 g sample of a radioactive substance is placed in a chamber to be tested. After 5 hours, 200 g…

Q: You have found an investment that pays 0.5% each week.  What is the effective annual rate of return…

A:

Q: Evaluate L{u(tπ/2) cos 2(t- π/2)} Option 1 Option 3 se πs/2 8² 2 3e-s $²9 O Option 2 O Option 4 3es…

A: Here we have to find the laplace transformation of the given function.

Q: A B 11 cm 5 cm 9 in 5 cm 6 in 4 cm DO

A:

Q: 4. Prove the statement: If X is rational and xy is irrational, then y is irrational.

A:

Q: Name: A. 1. You must use the space provided space provided is NOT enough. All Use Integral Test to…

A:

Q: Find a basis B for the span of the given vectors. B [01-41] [51 -1 0], [4191] -

A: The given vectors are, 01-41, 51-10, 4191. We have to find the basis for the span of the given…

Q: Find the missing coordinates such that the three vectors form an orthonormal basis for R³: J -0.6…

A:

Q: Hi, please help to answer this question: Determine the extreme values and their types from the…

A:

Q: The following table provides data on three popular protein supplements. (Figures shown correspond to…

A: Protein (g) Carbohydrates (g) Sodium (mg)  Cost ($) Designer Whey (Next) 18  2  80  0.50…

Q: Part 1: Find the specified change-of-coordinates matrix. Let B = {b₁,b₂} and C = {c₁, c2} be bases…

A:

Q: A leprechaun places a magic penny under a girf's pillow. The next night there are 2 magic pennies…

A:

Q: Consider the following function. f(x)=sin() if x #0 0 if x=0 Prove that f is discontinuous at x = 0.

A:

Q: The graph of a function is given. Determine the average rate of change of the function between the…

A: We have to find average rate of change of function between indicated points on the graph.

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

A: Trapezoidal rule: ∫abf(x)dx≈∆x2(f(x0)+2f(x1)+2f(x2)+2f(x3)+2f(x4)......+f(xn)) Simpon's rule:…

Q: Determine whether the vector field is conservative. 5yi ƏN/ax= ƏM/Əy= F(x,y) = x -

A:

Q: (a) Below is an estimate of all her expenses and sources of funding for her 2-year colleg education.…

A: (a) The expenses are: Books and supplies: $1460. Tuitions and Fees:$7400. Student loans: $5760.…

Q: 3. A firm produces two output goods, denoted by A and B. The cost per day is C(x, y) = 0.04x²…

A:

Q: Find the angle between the vectors. (Round your answer to two decimal places.) u =(4,-5), v = (0,…

A:

Q: • J / S₁ (²²+ // Let E be the solid below z = 72-x² - y² and above the square [-6, 6] x [-6, 6]…

A: Let E be the solid below z=72-x2-y2 and above the square [-6,6] x [-6,6]. And density is ρ=5. To…

Q: Write the dual optimization problem to the following: min 2x^2+2x1x2+2x2^2 + x1 + x2 subject to…

A: As per the question we are given a nonlinear optimization problem and we have to find its dual…

Q: Consider the following initial value problem, in which an input of large amplitude and short…

A:

Q: [10] (4) EVALUATE: A = = 2 1 [² [²√y² + 1 Inx X dydx HINT: Perform a reversal of integration

A:

Q: 2. Construct a 2x2 matrix and obtain the Hill cipher for a message built using seven distinct…

A: To construct a 2 X 2 matrix for Hill Cipher, we need to choose four integers a, b, c, and d such…

Q: Use a left sum and a right sum with rectangles of equal width for the given value of n to…

A: Given integral is  ∫211 5x3+1 dx   with n = 3                     Length of interval  ∆x = b-an =…