PROVE A is subset of B. A= { 4x l x ∈ Z }. B =  { 2y l y ∈ Z }. Also, if A is subset of B, what does B - A mean?

Q: Let G be a group of order 40 whose subgroups include H and K, of orders 4 and 5, respectively. to…

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Q: - Calculate the surface integral ff F. NdS, where F S r(u, v) = (uv, v, u) where 0 ≤ u ≤ 1,0 ≤ v ≤…

A: The given problem is to evaluate the given surface integral of given vector field over the surface S…

Q: Recall the definition of even numbers. Definition. An integer n is even if n = 2k for some integer…

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Q: By recognizing the series ((1/2))² ((1/2))³ 2 3 sum = ((1/2))" n -((1/2)) + + (−1)”. as a Taylor…

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Q: Question 2. Let c be a positive number. A differential equation of the form dy dt = ky¹+c = where k…

A: 1st we will solve the differential equation with initial condition and then then check value of…

Q: where did  0.5 come from and 0.0228?

A: We will show that how 0.5 and 0.0228 come.

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: To find: Use the method of cylindrical shells to find the volume of the solid obtained by rotating…

Q: Rewrite the triple integral a = 8₁(z) = h₁(y, z) = 1 X KK² K² b = f(x, y, z)dzdydx as 82(z) = ·b…

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Q: 3 Calculate the following limits. In each case, clearly state any facts or results you use (for…

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Q: You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57…

A: You have a bag of enough ping pong balls such that each one has exactly one of the numbers from 57…

Q: Consider the experiment of flipping a fair coin five times. What is the probability that all the…

A: In this problem we are to find the probability of all the outcomes have same face when a fair coin…

Q: IS F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

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Q: Let S be the lower half of the unit sphere x² + y² + z² = 1 and take n as the outer unit normal. Use…

A: Given That : Let S be the lower half of the unit sphere x2+y2+z2=1 and n be the outer unit normal .…

Q: Prove that: ² ² ; x ²) = ↓ sin¯' x + 1 + + ((a) 2 ³₁ ( ² ² ² i (b) 2 -x tan X

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Q: Suppose the vector field v(x, y, z) = 3yi+ (3x − 3) j+ (2y − 1) k represents the velocity field of a…

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Q: Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of…

A: Food Fiberg Fatg Calories Toast 2 1 100 Cottage Cheese 0 5 120 Fruit 2 0 60

Q: Define functions f: {0,1,2} → R+ and g: R+R by f(x) = 4x and g(x) = log2 (x). Write down the ordered…

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Q: Find a Gaussian integer to complete this equation: (___) x (-9-11i) =  - 57 - 137i What is the…

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Q: f(t) = cos 3t sin t

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Q: 1. Solve for G.S. = 6 tan ax 24" + 184 (D4 + 5D²+4) y = cos (3x +4) 2. 3. (0²+4) y = 8 sec 2x

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Evaluate the triple integral plane a 4. adV where E is bounded by the paraboloid z4y2 + 422 and the

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: V•U Compute u. u, v. u, and using the vectors u = u u u U= (Simplify your answer.) -5 ... and v= 6 3

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Q: If $89,000 is invested in an annuity that earns 5.3%, compounded quarterly, what payments will it…

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Q: Lot X= [a,b] with the standard topology and let Y= [9₁6) with the Cofinito topology. Why is the…

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Q: that f(x)=x^2. Analyze if the function is continuous by taking the domain and codomain with the…

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Q: Evaluate the triple integral DI x²e dV where E is bounded by the parabolic cylinder z = 49 - y² and…

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Q: (a) What are the conditions on the common ratio r and initial value a, that would make the resulting…

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Q: 4 Let ƒ: R → R given by f(x) = 2 sin(x) − x² + 1. enames for text alFind an interval [a, b] for…

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Q: Expand the following function in terms of Legendre polynomial: 35(cos(theta))^4

A: Given the function,                           35cos4θ.

Q: Determine the interval(s) on which x² + 2x-3 > 0. x 1 c. d. a. b. -3 1 x > 1

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Q: Solve the following differential equation explicitly up to order x5: y" (x) = (1 + x²)y(x).

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Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

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Q: Evaluate w f(x, y, z) dV for the function ƒ and region W specified: SSSw(42(x + y)) dV = f(x, y, z)…

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: Find the geodesics on a sphere of radius a; i.e. x² + y² + z² = a². Use this o calculate the…

A: geodesic  is defined as the shortest path between two fixed points for motion that is constrained…

Q: For a roll of three dice, show that both a 9 and a 10 can be achieved in six different ways.…

A: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is…

Q: Given f(x) = ) = x² + 7x + 25 and g(x) = -x² - 10x-10, determine when f(x) = g(x). a. x≤-5, xz -3.5…

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Q: 9. O. y 7/2 a 37/2

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Q: 2. Consider the vector field F(x, y) = (x,y). Let C be the upper half of the circle of radius 1…

A: The given function is F=x,y, and the curve C is upper half of the circle x2+y2=1 oriented counter…

Q: ffyz S yz ds S is the surface with parametric equations x = u², y = u sin(3w), z = u cos(3w), 0 ≤ u≤…

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Q: Find an orthogonal basis for the space spanned by Calculator 2 2 00-0 and 2 -6

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Q: Give an example if f : (0,1) -> R that is bounded, continuous but not uniformly continuous on (0,1).

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Q: Five years ago Uncle Shelby had $108,000. He put of the money in the bank. He invested the rest of…

A: This question is basic maths question with general understanding and calculations.

Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of…

A: Account with more interest rate yield more So Lowest yielding ,least risky account interest…

Q: Approximate 6² using each of the following Riemann sums with 4 subintervals of equal length. Do not…

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Q: - Let an = NCN such that la 3+1. Use the definition of convergence to show that an →3 as n →∞o. That…

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Q: EXERCISE 3 Find the general solution of the differential equation y"" - 4y" + 5y' — 2y = 0, y =…

A: Homogeneous ordinary differential equation

Q: Not everyone pays the same price for the same model of a car. The figure illustrates a normal…

A: Given mean = 22,000 and standard deviation = 1000 we have used the 68-95-99 rule to compute the…

Q: 1 + 6an−2 for n ≥ 2. Use generating functions to solve for an

A: Given,         a0=1, a1=2, and an=an-1+6an-2 for n≥2.

Q: Determine whether the set {0.0-0} is linearly dependent or linearly independent. Justify your answer…

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