Use Stokes' Theorem to evaluate fF.dr where F(x, y, z) = zi − 3yzj+ xk and C is the boundary of the plane 2x+2y+z= 6 in the first octant oriented counterclockwise.

Q: a) Solve y" -6y' +9y=0. b) Find the particular solution of y"-6y' +9y=3-t c) Use the Laplace…

A: THE SOLUTION IS GIVEN BE

Q: Determine the area of the shaded region given the following figure. (a) What is the area of the…

A:

Q: Find a function f such that F(x, y, z) = evaluate F. dr along the curve C given by r(t) = (t²…

A:

Q: Consider the dynamical system V-1AV where 01 Vo and A- 15 2 Find a formula in terms of k for the…

A: The given dynamic system is Vk+1=AVk, where: V0=45 and A=01152. Since Vk+1=AVk, therefore:…

Q: On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove…

A:

Q: 7. Find the solution to the given differential equation with the stated initial conditions. d²y dt²…

A:

Q: Determine and classify all the stationary point(s) for f(x, y) = 3x² + 7y³ - 42xy + 5.

A: Given that f(x,y)= 3x2+7y3-42xy+5 We have to determine and classify all the stationary point for…

Q: Revenue In January, the Left Coast Bookstore chain sold 700 hardcover books, 1,600 softcover books,…

A: A matrix is the arrangement of numbers in rows and columns such that they form a rectangular array.…

Q: uce the following systems to a single transfer function using block diagram reduction techniques.…

A:

Q: Please explain and solve w steps, thank you

A:

Q: d²y dy +4+13y = 4x + e²x dx² dx

A:

Q: According to the table below, what percentage of renewable energy in California is generated by…

A:

Q: 3. Draw Venn diagrams for the sets (AUB) nC and AU (BNC). Do your diagrams suggest these sets are…

A:

Q: 4. Let f: Z Z be defined by f(n) = 3n-1. Determine whether this function is 1-to-1 and/or onto.

A:

Q: Solve the system of equations and inequalities below simultaneously using graphical methods only. Y…

A:

Q: 16. Determine the following sum. Στο 1 2

A:

Q: If f(x, y) = (3000 ey)/(1+x1/2) represents the population density of a planar region on Earth, where…

A: Given Data: Let us consider the given data, fx,y=3000ey1+x2 To find: The number of people within the…

Q: The figure shows FGHIJ on a coordinate plane 5 98 7-6 5 4 3 2 30 -2 -3 F H 6 H Which of the…

A:

Q: evious Problem Set question, we started looking at the cost function C (z), the cost of a firm…

A:

Q: Q) Solve the following problems by using two phase method? 1-Max z= 5x1+12x2+4x3 ST 4x1-2x2+6x3=4…

A: The given problem is to find the linear programming problem with given constraints by using the two…

Q: ROOT FINDING METHOD - Find the root of e-²x - e-* -2.

A:

Q: Hello, can you please help me solve this problem? Write clearly and neatly on a paper. Upload it…

A:

Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

Q: I have a very long rope of licorice: 93 inches long! If I cut it into 12 pieces, how long is each…

A:

Q: 8. How many numbers between 1 and 200 are divisible by 2 or 5?

A: The given problem is to find the how many numbers between 1 and 200 are divisible by 2 or 5.

Q: 1. (10) Consider the following differential equation: 'dat dx4 2 +cosx dx³ 3 + √t= What is the…

A:

Q: Find the determinant of each of the following Matrices. D=4 7 0 1752 T 20 C= 1 2 3 100 201 302 300…

A: We have to find the determinant of each of the following matrices. C = 123100201302300600903D =…

Q: 2. Solve in three methods (x² + 6y²)dx - 4xy dy = 0, a) as linear equation, b) as homogeneous…

A:

Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

A:

Q: . Use Green's Theorem to find the flux of the vector field F (x, y) = (x + y, −x² — y²), where is…

A:

Q: Determine the closed-form expression for the following infinite sum C (1+r)

A: We have to determine the closed form expression for the following infinite sum. ∑i=0∞ C(1+r)i

Q: 10. Verify Stokes' Theorem for the vector field F = (y, 2x, 1) and the surface S, where S is the…

A:

Q: Which of the following graphs shows a function? Select all correct answers. Select all that apply:

A:

Q: Let S be a set, P(S) is the powerset of S, and let T be the set of all functions from S to {0, 1}.…

A:

Q: Find the Laplace transform of f(t) = sin² 5t a. 50/($³+125s) 25/(s³+ 100s) b. C. 25/(s³ + 125s) d.…

A:

Q: -[ _ If A = 2 1 -4 3 a) Use technology to find the inverse of A. b) Use the inverse you just found…

A:

Q: 6. DETAILS Use the Comparison Theorem to determine whether the integral is convergent or divergent.…

A:

Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: As per bartleby guidelines we have to solve only 3 subpart of a question.

Q: If f (x, y, z) has continuous partial derivatives and S is a closed surface, show that მ2 f f [[ D.…

A:

Q: Select True or False. (a) True/False: In order to use Green's Theorem, the vector field must be a…

A:

Q: 4. Find any relative maximum, minimum, or saddle points for the function, reporting the point(s) as…

A: The given problem is to find the relative extrema and saddle points of the given function…

Q: Construct a function that passes through the origin with a constant slope of 1, with removable…

A:

Q: 02/05 The set of basis vectors {V₁, V2, V3} are augmented to form Matrix A. Which of the following…

A:

Q: (5) Using Pascal's triangle, find the fourth term in the binomial expansion of: (2x-3y²)7

A:

Q: 1. Consider the region bounded by y = e-* + 1, y = 2 and x = 3. a. Sketch the region. Do not forget…

A:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A:

Q: On the binormal to a given curve, a point Q is taken at a constant distance c from the curve. Prove…

A:

Q: - Prove that the functionƒ : R² → R defined by ƒ(x, y) = x² + 4y² − 1 is neither injective nor…

A: Domain: The set of all the values of x, y for which the function fx, y is defined and real-valued is…

Q: Prove in details 3 -=S (jr 820 81 (n+3) mer لمی 13ة

A:

Q: Based on an analysis of sample data, an article proposed the pdf f(x) = 0.65e-0.65(x - 1) when x ≥ 1…

A: here we will use the fact for a probability distribution function ( pdf) of f(x) Probability between…