Simplify √1² +7 85x -X25+78x5 .Write the answer in the form ax² + bx axp+bxq

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A: As per the question we have to plot the following surface : (x-1)2/4 + (y-1)2 + z2 = 1 With the help…

Q: Marie and Danny Would like to buy a house for $220,000. The down payment for the mortgage is 30% of…

A: Given, Price of house is $220,000. The down payment for the mortgage is 30% of the price of the…

Q: a) 13 C, C₂

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Q: expand (x+y)6

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Q: For any integer a, show that a²-a+7 ends in one of the digits 3, 7, or 9.

A: For any integer a , we have to show that a2 - a + 7 ends in one of the digits 3 , 7 , or 9 . Note…

Q: 450 SFO LAX 135 311 76 DFW 34 214 61 ORD 557 322 101 46 ΜΙΑ 35 JFK 256 BWI 86 115 156 PVD 176 BOS

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Q: Use the binomial theorem to expand and simplify (write out the Sigma Notation first) (5x³ - 3y²)¹

A: The Binomial theorem states that (a+b)n=∑k=0nCknan-kbk, where Ckn=n!(n−k)!k!​ and n!=1⋅2⋅…⋅n. We…

Q: f(t) = 1²e-³1 cos 4t F(s) = F (s) = O O F (S) = F (s) = F (s) = 2s³ + 16s² 46s - 234 (s² + 6s+25)³…

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Q: Problem No.2 Evaluate the determinant of the given matrix A= 1 3 4 -1 1 1 -1 4 2 0 1 -1 2 -1 3 2

A: We have to find the determinant of the matrix A=1   3   4 -11   1-1    42    0   1 -12-1   3     2 .

Q: dy + 4 (X-11² Y = X+1 cos y dx + (x Siny - cos²y) dy = o 0 9. (x-1)³ [X-11³

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Q: A lighthouse is on an island 250 meters off shore. The lighthouse beam makes a full turn every 13…

A: Given: Distance between lighthouse and shore 250m, The angle between the perpendicular line joining…

Q: Determine with of the following statements are TRUE.

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Q: Approximate the following integrals using the following method. Use Boole's Rule Method [² [* (x²y +…

A: Given: ∫01∫x2xx2y+xy2dydx n=16 To find: Approximate value of the integral using Boole's rule.

Q: Determine the value of z in the below equation, giving the answer in the form x + yi. z 8 i (7 + 2z)…

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Q: Given the set X = {x € R³ : d(x, a) < r}, where d is the usual metric on R³. 3 The set X C R³ is an…

A: Solution

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

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Q: Question 4 Calculate the following limit. A) 12/2 B) 2 C) 1 D) 0/0 1 x² →1 1 X E) This limit does…

A: To find the limit  limx→11-x21-x

Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

Q: Q2; find all spanning tree for the following graph

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Q: Given Show that the Fourier series for f(x) is π² f(x)= +2 6 (-1) n² n=1 -^≤x≤0 0≤x≤T 2 Σ(-1*¹.…

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Q: If each component of a vector in R³ is doubled, the L2 norm of that vector is doubled True False

A: To give answer in true or false of the statement.

Q: Homework of differential equation Q₁: Solve the following differential equations a) xy' y'= x² + 2y…

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Q: Find all the distinct 5th roots of 32, then plot the results on an Argand diagram.

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Q: To approximate cos(x) dx would Simpson's Rule, Midpoint Rule, or Trapezoidal Rule give a better…

A: The exact value of the given integral is 1

Q: [1 Encode the word KNIVES using the encoding matrix: L3 4 O a [53 78 75 106 L62 86 [53 78 75 105 161…

A: Given word is KNIVES.Encoding matrix A=1234The word KNIVES is encoded as shown below.

Q: 1933 a. b. The first five terms of a sequence are given. Find the nth term an of the sequence. 44 44…

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Q: Solve the following systems of equations, using the A\b construct, as well as the Gauss-Seidel…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Marlene estimates that 48% of 1,220 is about 600. Which statement describes why this is a reasonable…

A: 48% of 1220 means approx 50% of 1200. Because there is 2% increase in percentage value and 20…

Q: Find the number of automobile license plates where: (a) Each plate contains 2 different letters…

A: We have to find number of automobile license plates where each plate contains 2 different letters…

Q: Consider the given graph below: A PA B с 31/4 E E LL F G 0 1/4 11/2 5/4 31/2 717/4 D Let y = a…

A: Note: y= a sin[k(x-b)] + c  2a is the amplitude of oscillation, c is the vertical shift and 2π/k is…

Q: Using the method of Least Squares, determine the value of y when x = 3.0 ation By using the given…

A: Given, the equation          y=AeBx               and x 2.07 8.60 14.42 15.80 y 1 2 3 4…

Q: Let 8 = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and 8' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for…

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Q: An operator T on a complex inner product space is normal if TT - TT. a) State the Complex Spectral…

A: The complex spectral theorem states that for a complex inner product space U and some linear…

Q: Divide the interval [0, 1] into n equal subintervals. For the resulting partition P₁ compute U(f,…

A: Here given function fx=2 Here given interval I=0, 1 Now partition of I=0, 1, as Pn=0, 1n, 2n, ....,…

Q: 2. Determine the value of (k) in each of the terms below from the binomial expansion of 15 (a + b)…

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Q: Consider the two quadrature rules 0 Which one is better? Þƒ (¹) +cf (1), 2 3 + ߃ ( ¹² ) + yf าร์ (…

A: The function f(x) is integrated from 0 to 1.

Q: Evaluate the integral S CO|CT CT | CO CT /Co NIC 8 dx using the two-point Gaussian quadrature rule.…

A: We have to evaluate the integral ∫−22816+x4dx using the two-point Gaussian quadrature rule. Here,…

Q: Get the partial derivatives δω θω дх’ ду δω given that Əz w = Arc sin (x² + y) — tan 2z + 1 and

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Q: U = {1, 2, {1}, {2}, {1, 2}}      A = {1, 2, {1}}       B = {{1}, {1, 2}}       C = {2, {1}, {2}}.…

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Q: 2. An investment of $3500 is deposited into an account earning a rate of interest of 4.3% per year.…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: H-w.4 Find the volumes for the following solids whose heights are defined by E (x,y) and bases are…

A: Volume bounded by xy-plane plane.

Q: Use Fermat's Theorem to verify 17 divides 11¹04 + 1.

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Q: Consider the given graph below: B A O 1/4 2 с 3/4 D E E 71 F 5/4 31/2 G 71/4

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Q: Player2 A 1, 2 QUESTION 3. Consider the following screening game where Nature plays U with…

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Q: e singular values

A: Given, if the singular values of a matrix A belonging to R3x5 are 6,4 and 1. To find:…

Q: Q₁: solve the following differential equati a) xy' y = x + 2 y ² 4 the to b) (x+y) dx - xdy = o 1 0…

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Q: Refer to the following functions: p(x) = x² + 2x 15 1 x+1 q(x) = X 3 r(x)=√7-x Which of the…

A: We will verify all the given statement utilizing given three functions and then will conclude about…

Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given function y=4x2x-3xx+2xx             =4x-3+2x Differentiate y with respect to x dydx=ddx4x-3+2x…

Q: Consider the function f(x) = 12, x = [0, 2]. Construct the Lagrange interpolation polynomial which…

A: Given function is fx=x21+x2, x∈0,2. We have to construct the Lagrange's interpolation polynomial…

Q: c) 1-λ 1 2 λ -3 ο

A: