5. Given a small cube resting on the xy plane with corners at (0, 0, 0), (a, 0, 0), (a, a, 0), and (0, a, 0), which vector field will produce positive flux through that cube? [A] F = 31 [B] F=xi-yj [C] F = 2î+3j+k [D] F = zk

Q: dx-x²dy )dx + (xy- dx + x²dy = dx + 2xydy -t√t² + x² tx =(y/0) + y Ө

A:

Q: (D2 + 5D + 4)y = 3-2x, Find Yp O a. 11 O b. 00 8 | O d. 11 8 X 11 X 8 3 OC. 11 X + 3 8 3 O e. none X…

A: SOME TERMS ARE EXPANDED BY USING BINOMIAL EXPANSION WHICH IS AS FOLLOWS-:…

Q: Let n be an element in Z. Prove that 5|n^2 if and only if 5|n.

A: If n be an element in Z. We have to prove that 5|n^2 if and only if 5|n.

Q: how can one combine power series? what is the convergence of the combination?

A: To Explain: How can one combine power series? What is the convergence of the combination?

Q: A ball is dropped from a height of 15 feet and bounces. Suppose that each bounce is 5/8 of the…

A: The height of the ball from where it is dropped is given 15 feet. When the ball hits the floor first…

Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A:

Q: Let Let f: R² → IR² be the linear transformation defined by be two different bases for R². Find the…

A:

Q: In this question, we seek to determine the area of a rectangular domain, R, with base on the x-axis…

A: Given :  Two curves : C : y = 2x and S : x2 + y2 = 4   To solve : The given four bits of the…

Q: = [4 pts] Suppose the only information you have about a triangle ABC is that C is 89°, b= 35, and c…

A:

Q: 5. Let f(x) = and consider f(x) dx. 1+x² e [ ²₁ ƒ(² (b) Find the Taylor series of f(r). Replace f(x)…

A: Function fx=11+x2 is given. Our aim is to find the interpolation polynomial of degree n = 7 evenly…

Q: The table below shows a stem-and-leaf diagram for a sample of test scores of students in Liberal…

A:

Q: The number of supporters of a volleyball team, n, grows at a rate proportional to its size, so that…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Divide the polynomial by the monomial denominator by writing the fraction as the sum (or difference)…

A:

Q: Q3B. Consider the following graph: b a C b and d a and c and f e and f a and e d and f b and c f d e…

A:

Q: Could you explain this in detail?

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: 8. A tank contains 50 liters of oil at time t = 4 hours. Oil is being pumped into the tank at a rate…

A: Given that t (hours) 4 7 12 15 R(t)  (lt/hr) 6.5 6.2 5.9 5.6   A tank contains 50 liters of…

Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

A:

Q: Use the phase-plane method to show that the solution to the nonlinear second-order differential…

A:

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral - = 64…

A:

Q: Travis Thompson uses his credit card to obtain a cash advance of $600 to pay for his textbooks in…

A:

Q: Let A and B be sets. Prove that A union B = A intersection B if and only if A = B.

A:

Q: d) f(x) = (x²+1)/(x²+2)

A:

Q: nt) The matrix -5 10 -5 10 0 -5 10 has two real eigenvalues, one of multiplicity 1 and one of…

A:

Q: Q1D. Consider the following graph: a C f d e How many vertices are there in the graph? How many…

A:

Q: The following graph shows the average American household debt h as a function of the date d.…

A: Given h(d) represents household debt as a percentage of disposable income.

Q: Find the general solution (D²+3D+2)y=12x² A B C y=c₁₂e-²x+c₁₂e-21+ 18x − 6x² - y=c₁e¯²x+c₂e¹+21−18x…

A: The given differential equation is D2+3D+2y=12x2 Our aim is to find the general solution of the…

Q: 3. Let E be the elliptic curve E(F3). y² = x³ + 2x + 1 defined over the field F3. Compute

A: The given elliptic curve is y2=x3+2x+1. To Find: EF3. As per policy, only first question is solved…

Q: b a C c and d b and c b and d d and f e and f a and b c and f f d e elect all pairs of vertices…

A:

Q: A regular-size girls' basketball was bounced from a certain height. The following data was collected…

A: The regression is performed to fit a dataset into a function of the form: y=f(x). The quadratic…

Q: (7) Evaluate the following surface integrals (b) ff 2x²zdS where S is the surface x=u+v₁y=v², z =…

A: here we will use surface integral formula  ∫∫S   f(x,y ,z dS =∫∫Dfru,v  ru×rvdA

Q: 2. (a) Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1,4}. Let f: C → B be the function…

A: Let A = {1, 2, 3, 4, 5} and B = {6, 7, 8, 9} and C = {1, 4}. Let f : C → B be the function given by…

Q: Water from a thunderstorm flows into a reservoir at a rate given by the function g(t)- 450 -0.38 t,…

A:

Q: Determine the solution of the following differential equations: (D²-1) y=- (Use MRO and MVP) 1 e2x+

A:

Q: Which of the following linear programming model has bounded feasible region? max z = 3x + 2y subject…

A: (a) Max z=3x+2y subjected to  x+y≤10x+2y≥2x≥0y≥0 Hence the model has bounded feasible region (b)…

Q: You owe $2300 on a credit card with 21% APR if you want to pay it off in 18 months, how much would…

A: Loan amortization formula is  A=Pi1+in1+in-1 Where A is periodic payment amount, P is loan amount,…

Q: 6) Respond to each of the following. a) Find 1010112 + 110112 b) Write 1001010₂ in decimal form. c)…

A:

Q: 9. Let F be the function such that F (n) is the sum of the first n positive integers. Give a…

A:

Q: no, please do question 21! a and b, not the one above it

A:

Q: An interior decorater wants to mount a picture that is 5 inches by 7 inches unto a wall. A picture…

A: Let, the uniform width of the picture is m inch.  Then, dimensions of the picture with the frame is…

Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on…

A: given y=cosx and 1-2xπ≤cosx≤-x2+4+π42 integrating both sides , we get ∫0π21-2xπdx≤∫0π2cosx…

Q: State the order of the following ordinary differential equations. a) The equation b) The equation dA…

A:

Q: Let 1= [t I Evaluate the integral I defined above. Use C for the constant of integration. Note that…

A:

Q: Solve the Differential Equation y""+y" = 6x

A:

Q: The Richter scale is used to rate the severity of earthquakes. An earthquake is measured in…

A: Given

Q: Identify and graph the polar equation. r = 2-3 cos 0 -12-10 3 6 www. 10 9 e N WY 1990 10- N * 10 12…

A:

Q: c) Find the flux of the vector field F(x, y, z) = 4xi + 4yj + 2k outward (normal away from the…

A: The given problem is to find the flux of the given vector field outward through the surface cut from…

Q: If f : X → Y and g: Y→ Z are functions such that g of is one-to-one, then f is one-to-one.

A: