Problem 1: Find the equation of the parabola with focus at ( 1, 1) and x = 7 as directrix.

Q: Question 15 Find the extreme values of the function subject to the given constraint. (x y, 2) = x2. ...

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Q: Suppose z1 = 2+j, z2 = 3-j2 and z3 = -+j. Evaluate 23+2-5-1 2-+3-3 %3D

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Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First e...

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Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y ...

A: Solutions of both question are given below . May these help you.

Q: n average bathtub uses 8 gallons of water and an average shower uses 6 gallons. To provide baths for...

A: Given An average bathtub uses 8 gallons of water and an average shower uses 6 gallons.

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the n...

A: We have to find the volume of region.

Q: $1,600,000 in her retirement account. When she turns 28, she decides to begin depositing money into ...

A: Introduction: The formula of monthly payments is given by, A=PMT×1+rkn-1rk Where PMT is the monthly ...

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...

A: Given: y=x23x=1y=0

Q: F(1) = [cos (t – ;) + sin (t -))« (- -;) + sin (t –)] u (t – ;) 2

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Q: Find a parametrization of the line in which the planes x- 2y - 2z = 3 and -3x + 3y + 3z = -6 interse...

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Q: Find the general solution of the following diferential equations -5=3e-2x+1

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Q: Determine the volume obtained by rotating the area enclosed by y = x(4 – x) and y 0 about the line x...

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Q: The square root of an irrational number is itself irrational.

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Q: Find the general solution or particular solution of each of the following DE's . (y²– 2r³) dx – 2xy ...

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Q: Solve for the absolute value with the given below. JA'NBNC given: JU = 35 JAI = 15 |B - 15 |C| - 14 ...

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Q: ssume that x is a binomial random variable with n800 and p-04 Use a nomal approximation to find each...

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Q: Find L{f (t)} using the First Shifting Theorem, Note: a, b, e, w, k and n are constan -at sin

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Q: [1 1 -2 1 3 0 1 [2 3 -1] [1 1 -2 -1] 3 -7 3 2 -7 5. If matrix A = 0 0 -1 lo o 3 -3 2 -1 -2 a. Find a...

A: Multipart :    We have given a matrix ,  A = 11-20-1133-73013-32230-20  ~  11-20-1025-7400-1-1000000...

Q: Use the divergence theorem to find the outward flux || (F-n) ds of the given vector field F. F = xy'...

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Q: 94° 56° 26

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Q: 48. Σ 1+ k k=1

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Q: Let u(x, t) = $(x)T(t) assume that this rod is of length 1 and has non-homogeneous Robin boundary co...

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Q: 3. Differentiate. a) M(u) = (1-4u²)(u+2) b) g(x)= (-x+3)(x – 10) ) p(n) = (5n+ 1)(-n² + 3) d) A(r) =...

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Q: My mom's friend bought cookbooks and travel books at a book sale. She spent $21 and bought 6 books. ...

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Q: 5. y" – 4y' + 13y = 4e* sin 3x

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Q: Consider the function f defined by f(x) =| sin x |, for -7<x<T. a) Find the Fourier series of f. b) ...

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Q: Let U and W be subspaces of Vector space V. Answer the following questions. Argue your answers: 1....

A: It is given that U and W are subspaces of a vector space V. (i)  We have to show that,  U ∩ W is als...

Q: Let A denote the formula (Vx)f(x, x) = z → (3y)4(x, y, z) = ¬(Vx)f(x, x) = z V (3y)4(x, y, z) (1) De...

A: Given- formula for A To find- 1) whether variable is free or bound 2) abstraction of A 3) whether A ...

Q: Part I. 1 -2 [5 -/2] 1 71 A = 6. -3 B = C = -8 6 D = 3 2 [¼ 2 3] [1 4 А. Evaluate [E] where [E] = [A...

A: # we are entitled to solve three subparts But for the third subpart matrix C is not clear, therefore...

Q: Determine the system of linear congruences which yeild all the square roots of 31 modulo 33.

A: Please find the answer in next step

Q: Please do in the form of handwritten answer.

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Q: D

A: This problem can be done in different ways.I choose coordinate geometry to solve this problem.i.e.,b...

Q: T/2 gral S

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Q: Determine whether the series of functionsE fn converges uniformly: fn(x) on D= [0,+o0). n2 + x2n fn(...

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Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the syst...

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Q: Find a particular solution to the differential equation -3y" + 2y' + ly = 2t2 – 2t – 6e*. Yp =

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Q: Determine if the set of vectors shown to the right is a basis for R. If the set of vectors is not a ...

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Q: is said to be the Laplace transform of f, provided that the integral c Find L{f(t)}. (Write your ans...

A: Given f(t) = et + 2

Q: My mom's friend bought cookbooks and travel books at a book sale. She spent $15 and bought 4 books. ...

A: Given Cookbook cost $3 per piece and travel book cost $6 per piece

Q: 5 cosh 2t +-sinh 2t 2 -2t 3. L{

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Q: www 15 4 3/ -3 D= 8 [-1 E = 2 2 4 [2 1 01 A = l7 8 9] [4 5 6] B = C = [2 5 31 1 3 1 l4 1 1 -3 -4] 2 ...

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Q: Your team will be playing 13 basketball games during the first season. In how many ways can the team...

A: Multiple:    Here total 13 Basketball games. Also there are 8 wins , 2 losses and 3 ties. We know th...

Q: Prévicy (Find y as a function oft if 144y" – 408y' + 289y = 0, | y(0) = 8, y' (0) = 4. y =

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Q: The volume of the solid obtained by rotating the region enclosed by 1 Y = 0, x = 3, and x = 8, x4 ab...

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Q: Question 15 Find the extreme values of the function subject to the given constraint. (x y, 2) - x2. ...

A: Lagranges Multiplier method is used

Q: Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that seque...

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Q: The plane z =0 separates region 1 (z 0), which is a dielectric material with ɛ, = 4, from region 2 (...

A: The complete solutions are given below

Q: 3. Consider the linear transformations T: R² → R² and S: R² → R² defined by "(E)-H *(E)-L |2x2 X2 S ...

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Q: In a standard deck of 52 cards how many ways are there to: a) Pick a face card and a ten?

A: We have to find in a standard deck of 52 cards how many ways are there to: a) Pick a face card and a...

Q: Evaluate: tan -12ß dß. A ß tan-128 – In|1+4ß²| + C B none of the given choices ß tan-12ß + –In|1+4ß2...

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