Answer the question below: The student should find the absolute maximum and minimum values of h(xx) =x + 2y + 3 using Lagrange multipliers on the circle x² + y² = 45

Q: Advanced Math 4. Let f: S^2 → S^2 be a reflection of the sphere which leaves the plane H = {(x, y, z...

A: Given Plane : H =x,y,z100x +239x+11z=0 To find: All great circles which are invariant under f.  

Q: For each of the following functions defined on the interval (0, T): (a) Find the Fourier sine series...

A: The functions given on the interval 0, π are as follows: fx=2x-πfx=   10<x<π2-1π2<x<πfx=...

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Q: Let f(x) = 3 x² +6. x +4 and g(x) = 4 x² + 8. x +3. Write down an expression to calculate the area b...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: Introduction: The coordinate of a point x,y,z is actually the components of the position vector join...

Q: Question 5. Sketch the graph of the function: x – 1 f(a) x + 2

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Q: The graph of a function f is given. Consider the integral I when answering the following questions. ...

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Q: Let A, B, C, D be four distinct points on a line, in that order. The circles with diameters AC and B...

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Q: b        i        Find the y-coordinates of the points of intersection of the parabola with equation...

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Q: 4. Divide. y² + 10y +21 y +7

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Q: Let = = 4cjs49°, E; = 2/2cjs92°, and =, = cjs(-86°). Evaluate the expression %3D 5+(-j)*. 26 FINAL A...

A: The given numbers are: z1=4 cjs 49∘, z2=22 cjs 92∘and z3=cjs -86∘ Evaluate the expression z1z3+-j26z...

Q: |(1) Solve the following D. E's :- a) Y=l+a0lY, b) y'= xy/2, c) xy'= y+Y, d) Y= (x²+ y²)/xY, e) y'+ ...

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Q: 2. Let X1 and X, be sets. Define functions T1 : X1 × X2 → X1, T2 : X1 × X2 → X2 by T1 (x1, x2) = x1,...

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Q: Find an equation of the line, and write it in (a) slope-intercept form if possible and (b) standard ...

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Q: Find the absolute extrema of the function f(x) = x?e-z on the interval %3D

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Q: The true proportion of voters in favor of a candidate is unknown. A random sample of 329 voters resu...

A: The point estimate of true population proportion of the voters who favor the candidate would be the ...

Q: 1 Question 4 Determine whether the series )` converges or diverges. Be sure to name any test(s) n · ...

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Q: 3) Approximate the value of following integrals by using composite Trapezoidal rule, composite Simps...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Suppose p is true, q is false, s is false. Find the truth value of (p A -q V -S O True O False

A: Writing "T" for true and "F" for false. Given p is true, q is false, s is false.

Q: power series

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Q: Determine the values of p, q, and r so that the function f(x) = px° + qx² + rx will have an inflecti...

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Q: Find the smallest value of k, k EN, for which the average value of f(x) = 12 x +k %3D on the interva...

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Q: x sin wx O Show that dx = x² + 6x + 10 (3 sin 3w + cos 3w) w> 0

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" – (2a – 1...

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Q: 1. About x = 6, S(x) 2. About x = 0, S(z) = e3=

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Q: We have two complex numbers (C1 = 1+ j2) and (C2 = 4/-2.2°). Find %3D 1. Ст * С2 2. Ст — С2

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Q: What is the value of the correlation between Academic Performance and Digita Literacy? * Speed of In...

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Q: 8 5 In the following, let A denote the coetficient matrix in (1). a) Compute the 1-norm of the matri...

A: M

Q: Tuto A builder has some red and grey bricks. The red bricks weigh 2 kilograms each, and the grey bri...

A: Let, number of red bricks = a        number of grey bricks = b Then, total number of bricks = a+b   ...

Q: Show wheatear the statements are True or False (provide explanation/justification). a. Q' = R b. If ...

A: We have to check whether given statement is true or false.

Q: Q– Fin the surface area of the portion of the paraboloid z= 6- 2x -y that is above the x-y plane (z-...

A: Solution :-

Q: Define the line Lo to be a = xo + at, y = yo + bt, z = z0 + ct. If Lo passes through the origin, the...

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Q: V5 and an+1 = 5an. Find lim an. Let {an}1 be a convergent sequence defined by a1 =

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Q: U se (dire ct) comparison test to determine whether the given series is convergent or divergent. n +...

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Q: Calculate (2x + y) dxdy, Where R is a region bounded x=y-1,x=3,y=-1 and y=2 R

A: The double integral is of the form ∫ab∫g(x)h(x)f(x,y) dxdy  or ∫cd∫g(y)h(y)f(x,y) dydx To solve the ...

Q: 05. Solve follawoing mas - g"+ 4y= fint t çinist + ein St, yeos=0

A: Introduction: One of the significant applications of the differential equation is a mass-spring prob...

Q: Question 4 The current I(t) in an LC series circuit is governed by the initial value problem below. ...

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Q: Identify the type of symmetry, if any

A: We have to check symmetry of given graph.

Q: s defined over ai at one point in tl асcordi

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Q: A: Find the Fourier of the following function and sketch: f(x) ={ if - A<x<0 0 <x<I x +n if

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Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y wh...

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Q: Let /(x) = x (x + 2)" and calculate f(x) dx by using integration by substitution. What was your subs...

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Q: Find the Fourier transform off (x) defined by Example 6. 1, |x| a f(x) = sin s ds (ii) 00 sin sa. co...

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Q: Question: Chapter 6 Show That A Topology T On X Is Finite If And Only If T Has A Finite Base.

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Q: Using Fourier Transform of derivatives and Table of Fourier Transform in the Appendix A, solve the f...

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Q: Let E = . Determine the smallest choice of N > 0 such that N. |n(n+1)|

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Q: Example 6. Find the Fourier transform off (x) defined by ´ 1, |x| a f(x) = and hence evaluate sin s ...

A: Fourier transform

Q: Which would show that the diagonals of HJKL are perpendicular? Select all that apply. А. HJ KL В. HK...

A: HK and JL are the diagonals of HJKL.  So option (b) directly shows that the diagonals HK and JL are ...

Q: c Given dy/lde =yal and when y=49, x =2, find the value gx when y= 49. %3B

A: As mentionedin question, solution of part c is here below.