Produce an example of an element of Co (R, R) which is not an element of the following vector subspace: R [X] = { ƒ : R → R|ƒ is a polynomial with real coefficients}

Q: Set the limits of integration for finding the volume of the solid inside the sphere x2 + y2 + z2 =…

A: Given: Equation of the sphere: x2+ y2+ z2=16  Equation of cylinder: x2+y2=4 To Find: We have to set…

Q: 2. Simplify completely: (a) √1+i√3

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Q: the mean and standard deviation of the measurements. If the mean is 75°C and the standard deviation…

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Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

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Q: 2. Another equation that has been used to model population growth is the Gompertz equation dy/dt =…

A: Given Data: dy/dt =ry lnKy where r and k are positive constant (a) Find the critical points (b) To…

Q: I. dy tan(x) dx Cos (x) + x²

A: Given equation is dydx=tanxcosx+x2   What is the best way to solve the First Order Differential…

Q: At which point maximum value and does foxs the (e.g. instead = 2 sin X- Cos 2x what is the maximum…

A: For absolute maximum or minimum   If  the function is continuous on the given  interval .We need to…

Q: Consider the initial value problem (x + 2) y" + with initial condition x 1 5Y' + e²y=x³ y (0) = 7 y'…

A: Given the Initial Value Problem x+2y"+1x-5y'+exy=x3 with given initial conditions. y0=7,y'0=2

Q: Integrate the function f(x, y, z) = (x2 + y2 + z2)4 over the part of the solid cone y2 + z2 ≤ x2…

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Q: 5) now that for all n EN, if A1,A2, ..., A and B are any sets, then n 11 nc₁x) = (N₁) va (A₁\B) B.…

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Q: When is the vector x = (3) orthogonal to the vector y = ()? You may want to go through the proof of…

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Q: Let yty + 0.1y³ and y(0) = 0.70. Use Euler's method to find approximate values of the solution of…

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Q: Let f(x,y,z) = g(√x² - 4y² +2²)√√x² +16y² + z², where g is some nonnegative function of one variable…

A: Given Data: fx,y,z=gx2-4y2+z2x2+16y2+z2 Where g is some non negative function of one variable such…

Q: 7. Determine the length of side a, in triangle ABC, to the nearest inch. B 62⁰ A 87⁰ a 10 in. C

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Q: Determine the infimum and supremum of the set S given by the grand union below. Write your answer as…

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Q: Compare the monthly payment and total payment for the following pair of $180,000 loan options.…

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Q: 3. For the following quadrics identify the type of the conic section find the coordinates of a focus…

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Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule with n = 4. Compare…

A: given function ∫1221+x2dx using trapezoidal rule with n=4 let fx=21+x2 h=b-an substitute the values…

Q: Suppose that people who own a Numberkrunch computer for home use will purchase another NumberKrunch…

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Q: 5. Use the forward and backward difference approximations of 0(h), and a centered sin(x) difference…

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Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

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Q: If x is a n-700 as a. always b. real number Sometimes never such that 1x11, then x" -> -0

A: We want to find correct answer.

Q: 3.45. The density (d) of a liquid is calculated by measuring its depth (c) in a calibrated…

A: Given Data: The density of the liquid is given by the expression   To find: The maximum possible…

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

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Q: Find the solution of the given initial value problem. cos t y' Y(T) = 0, t-9, y(t) = 9 y = t t> 0

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Q: Consider the system of differential equations: dy dx = 1+y², - dt =x (2-y) dt Find a conserved…

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Q: Let f (x, y, z) = g (√x² − 4y² + 2²) √√x² +16y² + 2², - where 9 is some nonnegative function of one…

A: As given, f(x,y,z) = g(x2-4y2+z2) x2+16y2+z2R→(u,v) = 1+4v2cosu, v, 1+4v2sinu

Q: Write down a differential equation of the form all other solutions diverge from y = 9 as t →∞. y' -…

A: Given: Let us consider the given differential equation form, dydt=ay+b and it diverges from y=9 as…

Q: Show that the set of all polynomials with integer coefficients is denumerable

A: Given : set of polynomial with integer coefficient  To Show : set of polynomial with integer…

Q: (b) Solve the following IE u(x) = f* (z + 1²) dz by "Adomian Decomposition" method.

A: Solution:

Q: Consider the NxN-dimensional matrices A and B, where B=S¹AS (with S an NXN-dimensional non- singular…

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Q: ) Find the Laurent series expansion of 1 (z − 1)(z- 3)² in ann(3, 0, 2).

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Q: Let f: XY and A,BCX. Give an example of a function f and sets A and B that f[A\B] #f[A]\f[B]

A: Take any constant function and subsets A and B such that they overlap.

Q: b B 490 9 a Note: Triangle may not be drawn to scale. Given the triangle above, find the following:…

A: Let us consider a triangle ABC right angle at B Sum of angle of triangle is 180° Properties of…

Q: Find an angle between 0° and 360° that is coterminal with the given angle. 398° is coterminal to…

A: Coterminal are the angles that start and end at the same point. So, to find a coterminal angle add…

Q: Solve the IVP -8 0] *-[× -16 dx dt x(t) = x, x(0) [8]

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Q: 43. If f is differentiable and is periodic with period T, show that f' is also periodic with period…

A: First we prove that f'(x) is periodic by definition of derivative. Then we give an example to prove…

Q: If a vector function v(t) = (t, ln t,t) is given for a scalar function Ø = x lnz+√√y − cos(x + 1)…

A: Given vector function is v(t)=t,lnt,t-2                    (1) scalar function is ϕ=xlnz+y-cosx+1,…

Q: f(t) = 0≤t≤1 1≤t≤2 1 t²-3 t>2

A: The function f(t) is a rule that associates or fixes a number to the particular point t. The Laplace…

Q: Idaho Investment CO. borrows $11,100 from a bank at 3.9% compounded quarterly for 6 years and 3…

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Q: Width - 24 inches 60 cm Length - 48 inches 120 cm Please answer 1 and 2 CEDURE sler Table tick on th…

A: We know that 1 inch is equal to 2.54 centimetres. Therefore, 24 inches 60 cm = 24 x 2.54 = 60.96+ 60…

Q: Find the largest interval where the following IVP is guaranteed to have a unique solution: (t²-4) y"…

A: To Find: The largest interval where the following IVP is guaranteed to have a unique solution:…

Q: 11. x²y" - 2xy + 2y = 0, y (1) = −1, y (2) = 1

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Q: Find the flux of the curl of the vector field F(x, y, z) = [(z2 −4) cos(xyz), 3x+y,(z2 −4) sin(ex…

A: Surface is oriented outwards. And -2 <= z <= 2

Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2 2eycosy+2 = C…

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Q: (b) Let g(x, y) = 2 + 5x + 6xy + y². Find the degree 1 and degree 2 Taylor polynomials of g at…

A: (c.) Consider a function h that is a degree 2 polynomial in x and y, that is,…

Q: 1. (e)(1-e²y)¹/² dx = dy 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: S √ + (25 +4z²)(z³ + 1)¹² dz

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Q: Given y(x)=Nex where x goes from 0 to 2.46. The value of "N" required for normalization of y(x) is:…

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