The parabola x² - 2x + 2y + 7 = 0, has a vertex at (1,3). O(-1,3). O (-1,-3). O (1,-3).

Q: Use multiple equation Newton-Raphson method to determine one of the roots of the following…

A: Given x2+3y2=10x-22+y-12=3

Q: 5. Let a₁ = √5, (a) Find the recursion formula (b) Assuming the sequence converges find its limit…

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Q: 1. 3. Determine [[e=²*² +25-+²] kt [[e+cos (√2+)] [[ext_H(t-a)]

A: Used Formulae :  L{eat} = 1/(s-a)  L{1} = 1/s L{tn} = n!/sn+1  Shifting theorem of laplace transform…

Q: Prove this: A=B iff A° U B = Ω =

A: Solution : First prove left to right, If A⊂B is true , All elements of A are inside B, Then Ac is…

Q: K(G) < K'(G) < 8(G).

A: For a graph G ; κ(G)=Vertex connectivityκ'(G)= Edge coonectivityδ(G)=Minimum degree of G

Q: Using Secant Method in Excel, Given: f(x) = x^3 + 3x^2 - 1 = 0, how many iterations would you take…

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Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

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Q: et [a, b] be a real interva b]→X is continuous, the is continuously differentia

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Q: Using Bisection method find the root of cos(x) - xex=0 with a = 0 and b = 1. Show your solution…

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Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

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Q: Express (i)(T) J3(x) in terms of J₁(x) and Jo(x) (ii) J₂(x) in terms of J₁(x) and Jo(x) (iii) J4…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: 25. Which of the following inequality has a graph and solution as illustrated? OA. 3x+4ys9 8.3x-4ys9…

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

Q: The general solution of y" + y = sec³ x

A: First we will find the complementary solution for which we will find the roots of it's auxiliary…

Q: Let X = {a,b,c,d} and Tx = {X, Ø, {a}, {a, b}, {a,b,c}} be a topology on X. Let y = {1,2,3,4} and Ty…

A: I have used the definition of continuous function in topological space.

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Introduction: A rate of chage is the ratio of two related quantities in different units in…

Q: Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 -1 3.5 2 0 4 3j E= 5.5…

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Q: y" + 3y' +2y=(− 4x² − x + 1)cos 2x − (2x² + 2x +1)sin 2x

A: To solve the differential equation of the form y''+ay'+by=A(x)cosbx+B(x)sinbx Assume the particular…

Q: 4-Let (Z12, +12) be a group and let S={4,6}, find subgroup H generated by S. if exist

A: I have used the definition of subgroup generated by a subset.

Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: Suppose the rule ²[ƒ(-2,−1)+4ƒ(−2,0) + ƒ(−2,1)+ ƒ (2,−1)+4ƒ (2,0)+ƒ(2,1)] applied to 12 solve f(x,y)…

A: Given: The rule, 23f-2,-1+4f-2,0+f-2,1+f2,-1+4f2,0+f2,1 is applied to solve ∫-11∫-22fx,ydxdy.   To…

Q: d²y (a) Solve the differential equation +y dx² y'(0) = 0. got up (4) pap = sin(x) + cos(x) with y(0)…

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Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Solution :-

Q: Given: region R below bounded by the graphs of y=√x-3, y = 9 - x, and y = 0. (7,2) R (3,0) (9,0) (a)…

A: We will use integral to find area and volume  Arc length of y=f(x) from x=a to x=b  L=∫ab1+dydx2dx…

Q: Use A-1 to decode the cryptogram.

A: Given,         A=122379-4-114

Q: 6. Find the Laplace transform of f(t) = t²e²t

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Q: X 1 4 7 9 11 f(x) 12 -23 -15 33 -13

A: Lagrange's interpolation polynomial for n points can be defined as:…

Q: Let F be a field of characteristic not equal to 2. Let a, b E F such that b is not T CL If 1

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Q: Trapezoidal (Use n = 9) 5. 6. √² (5√x - ³) dx 3) (5ex-e)dx

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Q: Commencing with the Cobb-Douglas function below: q(K, L) = K¹/4L3/4 Optimize q subject to the…

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Q: Let (a) Show that I is an ideal of Z × 2Z. (b) Use FIT for rings to show (Z × 2Z)/I ≈ Z₂. I= {(x, y)…

A: Given: Let us consider the given I=x,yx,y∈2ℤ a) Let us depict an ideal of ℤ×2ℤ b) Let us depict…

Q: 7.) John borrowed P4500 cash from his friend. His friend's condition is that he must pay his debt in…

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Q: Evaluate the iterated double integral JI-X² ( [√x² sin (x² + y²) dz dy dx

A: A a couple of imperative is a specific imperative of a characteristic of numerous actual variables…

Q: 2 2. y² dx + ( x² + 3xy + 4 y²) dy = 0 when x = 2, y = 1

A: Solution :-

Q: 1. Consider the following first-order ODE: dị y t dx from x = 0 to x = 1.5 with y(0) = 1 (a) Solve…

A: We can solve this using given information

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: This is the application of calculus.

Q: If A is a group and B is a subgroup of A. Prove that the right cosets of B partitions A

A: Given : A be any group and B be any subgroup of A. To prove : The right cosets of B partitions A.

Q: Find the 103rd derivative of cos(2x).   Hint: find the first few derivatives and observe a…

A: First find nth derivative then put n=103 to find the 103rd derivative as in next step.

Q: For the function ƒ(x, y) = 4x³ + x² − 7, find the solution of the differential equation from x = 0…

A: We can solve this using mid point method

Q: c) A student wishes to allocate her available study time of 60 hours per week between two subjects…

A: given, g1(t1)=20+20t1g2(t2)=-80+3t2 grade average = g1(t1)+g2(t2)2 setting lagrange…

Q: The metric subspace ]1,2] of the Euclidean metric space R is a complete metric space. False True

A: Solution

Q: choose

A: Given: Disjunctive Resolution. We have to choose correct option from given four option.

Q: 9. (a) Use the method of Lagrange multipliers to determine the minimum and maximu values of f(x, y)…

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Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

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

Q: Let f(x + y) = f(x) f(y) for all x and y. Suppose that f(3) = 3 and f'(0) = 11, then f'(3) is given…

A: Solution

Q: 2. Find at least the first four nonzero terms in a power series expansion about x = 0 for a general…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Show that matrix multiplication is associative i.e. A(BC) = (AB)C when- ever the multiplication is…

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Q: Find the approximated value of x till 6 iterations for x³-4x+9=0 using Bisection Method. Take a = -3…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Compute the Fourier series for the given function ? on the specified interval.

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Q: 6. Two point charged particles are 4.41 cm apart. They are moved and placed in a new position. The…

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Q: r5 √2 (2x² – 3x)dx

A: ∫25(2x^2-3x)dx  ∫252 x2dx -∫253xdx=2∫25x2dx-3∫25xdx =by formula∫xndx= xn+1/n+1