boloid z=x^2+y^2 in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin

Q: define the region bounded by y = 0, y = 4√x, y = 24 − 2x, and y = x − 4 using vertical and horizonta...

A: Given curves are  y=0y=4xy=24-2xy=x-4  

Q: Find the length of the curve with parametric equations x = e' · cos t, y = e' sin t, with 0 <t < 2nT...

A: Given x = et.cos(t) y = et.sin(t)

Q: Explain how to find reduced row echelon on a matrix. Please explain to me as if I’m learning it for ...

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Q: Suppose z = 7+-8i and w = 9+7i. Then Re (2)=? %3D

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Q: Use the Euclidean Algorithm and the solving for remainders method to find the f 32-mod2007= 32 (Your...

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Q: Find the maximum and minimum volumes of a rectangular box whose, surface area is 1300 cm² and whose ...

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Q: Which of the following sets of vectors are linearly independent? (Check the boxes for linearly indep...

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Q: 5. Show f(x) = x'/4 – In(x) is positive for r e R sufficiently large. As well, use the p-series to s...

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)²

A: Formulas of derivative and integration  ddxxn=nxn-1∫xndx=xn+1n+1+C∫1x2+a2dx=1atan-1xa+C

Q: Give an example of a linear operator TE L(R*") which is not diagonalizable. Justify your answer.

A: give an example of a linear operator T∈Lℝ3,1 which is not diagonalizable. justify ur answer. it is k...

Q: (x2D2 - 3xD + 41)y = 0, y(1) = -n, y'(1) = 2n %3D

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Q: V.  Express each statement in “if-then” form. 4.     Each angle of an equilateral triangle has a me...

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Q: Let y be a solution of the differential equation 2 * - (). where a + y +1 > 0 for all æ, y I+y+I suc...

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Q: Consider the following payoff matrix. -1 -5 P = -3 3 (a) Find the optimal mixed row strategy. (b) Fi...

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Q: Q: Let f(x) = x² – 2 - 2 < x < 2, period = 4 Sketch the graph of f (x) 2- Is f(x) odd or even, or ne...

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Q: Express the answer of the following problems in form rciso with and -Tss下 O Z: I+i 1-i3

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Q: a) Show that f has no rational roots. b) Determine the remainder of the division of f by g. c) Show ...

A: Given function are f=8x3-6x-1 g=4x3-3x and the set M=hcosπ9|h∈Q[x] Solution a: f=8x3-6x-1 Comparing ...

Q: Evaluate the integral sin^4 e de from 0 to Tt/2 * T/4 O 2r/3 O 31/16 О З1/5

A: We have to evaluate the integral ∫0π2sin4θdθ. Use the reduction integral formula, which is given bel...

Q: 47. Determine the first and second derivatives of the function f(x) tan" (x² – x +1) tan %3D at x=1 ...

A: Given: The function, fx=tan-1x2-x+1   To determine: The first and second derivatives of the given fu...

Q: A 50 gallon storage tank initially holds a saltwater solution containing 100 grams of salt dissolved...

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Q: Let f and g be functions from the positive integers to the positive integers defined by the equation...

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Q: plz provide handwritten answer for part b

A: Note: In the question, it has to be sinθ = 1213, instead of sinθ = 12 13 To find- If for a right ang...

Q: If |G = 30 and |Z(G)| that |G| 5, what is the structure of G/Z(G)? What is the structure of G/Z(G) i...

A: Solution:-

Q: Find the general solution of æ²p+ y²q = (x + y)z.

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Q: Consider the power series f(x)=log(n)x" . The R.O.C. of f(x) is (a) 0 (b) 1 (c) 3 (d) o

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Q: Let P3(x) be the interpolating Lagrange polynomial of degree 3 passing through the points (0,0), (1/...

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Q: Over the past 40 years, Interest rates have varied widely. The rate for a 30-year mortgage reached a...

A: Given: A home sells for $125,000. A down payment of $25,000 can be made. So, $100,000 needs to be bo...

Q: Find the root of f(x) = (x – 4)° (x + 2)= 0, using the initial guesses of x = -2.5 and x, = -1.0, an...

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Q: Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the deriva...

A: We have to find the 3rd maclaurin polynomial of (1 + x) 3/2.

Q: Suppose [1]. 7(t) = cet + cze' -1 -3 -2 -1 -1 -2 j(0) = A B (a) Find C1 and C2. C1 = - -3-2 - C2 = -...

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Q: Let G be a finite group, let P E Syl, (G), and let P act on Syl,(G) by conjugation (see the Outline ...

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Q: Evaluate the commutator [A,B] , for each of the following pairs of operators: 1. If two operators c...

A: 1. Let A and B be two operators such that A and B commute. =&gt; AB=BA If  αi is an eigen­func­tion ...

Q: 13. x² + y? + 16x + 10y – 55 = 0 14. x2 + y? -16x + 9y – 8 = 0

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Q: Solve xy" + y = 0.

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Q: If S = 1 +3 + 3*3 +3*3*3 + 3*3*3*3, then S = ? 121 120 241 242

A: Given S = 1 + 3 + 3*3 + 3*3*3 + 3*3*3*3

Q: theorem if Yet, I think I

A: 1. Ax=h+p 2.∀x.Ax 1.Universal Generalization on 3. Ax→∀x Ax  1,2 Introduction.

Q: Topic: Complex numbers Instruction: Perform the indicated operations. Express results in rectangular...

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Q: Q4) A) Find the following limits (for two only). x+1 1. lim x--1 x2-x-2 1-Vx 2. lim x-1 1-x 2x 3. li...

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1 ddx(x+1...

Q: For the following exercises, find all points on the curve that have the given slope. 73. x= t++, y=t...

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Q: Let U, A, B, and C be defined as shown below. U= [ a, b, c, d, e, f, g, h, i, j } A = { d, e, g, h, ...

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Q: Consider a closed storage tank S with walls given by the curved surfaces x = y', z > 0 and r = 2 – y...

A: 1st we will draw the diagram of tank and then find limit for all variable to use integration as surf...

Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first...

Q: a. Write the equation of the line that represents the linear approximation to the following function...

A: Given that  Function f(x) =x/(x+2)  To find the linear approximation

Q: Let A, B, and C be three matrices of the appropriate sizes. Then, the following holds. AB = AC and A...

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Q: Suppose z = -18 + 14i and w 16 + -13i. Then Re (z + w) =? %3D

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Q: [이 F(0) = da -2

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Q: The height h and semi-vertical angle a of a cone are measured and from them A the total area of the ...

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Q: Determine whether the Series is absi utely convergent, ordinergent 52ょ2n+3

A: Given series is ∑n=1∞-1n n2 +2n+35n3 +n+1 This is alternating series. Take an= -1n n2 +2n+35n3 +n+1

Q: Mia just bought a new jeep compass for $22,000. Assume the value of the jeep depreciates at a rate o...

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Q: Consider the set V of all vectors of the form (x y 2) where x, y and z arereal numbers 3. Show that ...

A: As V satisfies all vector space axioms, hence we conclude that it is a vector space over R.