Which option is not correct? 0000 0000 The set X=2 The set X=2 The set X=2 3 -0. 3 The set X = 2 is a linearly dependent set. is a linearly independent set. cannot be a basis for R³. can be extend to basis for vector space R³.

Q: (a) Give the centre c and the radius r of S = B(0,5) B(3, 4). (b) Which of the following are neither…

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Q: The table gives the values of a function obtained from an experiment. 2 4 6 8 10 12 14 f(x) -1.3…

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Q: solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

A: Min(z)=300x1+200x2S.T.20x1+20x2≥16030x1+10x2≥120x1≥0, x2≥0 We have to solve using graphical method

Q: 2. Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) from the given data by using quadratic…

Q: Q-4: Let T: R³ a) Show that I is a linear transformation. b) Describe R(T). What is the dimension of…

A: The linear operator is T : ℝ3→ℝ3 defined by Txyz=x-y-z2z

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: Let S = V₁ = {V₁, V2, V3, V4, V5} where, ) 22 = , V3 = ₂V4 = V5 = 22 2 Find a basis for the space…

A: We have to find a basis for the space span(S) which is a subset of S. Then, we can proceed further.

Q: Find the parametric equations of the tangent line to the curve of intersection of the surfaces x² -…

A: The equation of the tangent plane to the surface f(x, y, z)=0 at x0, y0, z0 is defined as: fxx0, y0,…

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Q: 2. Consider the following vector 1 v= = [1, 0, √6 (a) Write a projection on this vector. Proof your…

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Q: The matrix A 250 = 300 TTO -2 21 -2 1 one of the eigen vector is (solve) 11 Option 4 O 3 園 in Option…

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Q: Given the scalar functionf (x, y) = 2xy, calculate the line integral along the ellipse curve+= 1…

A: To Evaluate: ∫CF·dr, where F(x,y)=2xy and the curve is  C: x29+y24=1.

Q: Find vector-valued functions forming the boundaries of the region in the figure. Intervals are given…

A: given graph we have to find vector valued representation.

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A: Introduction: The act of combining two or more items is known as addition. The process of computing…

Q: The graph of y=√x^2+1 is symmetric about y axis. If 3 up 0 down √x^2+1 dx=a and 15 up and 0 bottom…

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Q: 13. Aij If for a square matrixes, [a] of even order (4) A is skew-symmetric (C) A is symmetric and…

A: Here we have given that aij=i2-j2 So, for all i=j  we have aii=0 that means all the diagonal…

Q: A boat is on the top of a flat lake (the top of the lake can be pictured as being on the xy-plane,…

A: Solution is given below:

Q: 1л 4 X Оп = 0 = 0.7853 Іл 2 Зл 4 п = 3.1416 = 1.5707 = 2.3561 f(x)= sen (2x) f(0п) = sen(2x0) = 0…

A: To Sketch: The graph of f(x)=sin(2x) for the given values in the table.

Q: 1. Find In 9.2 from In 9.0-2.1972, In 9.5-2.2513 by linear interpolation and determine error.

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Q: 1 If f(x) is a non-negative continuous function for all x, such that f(x) + + f(x+1/2) = 1,0 ≤ x ≤ -…

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Q: 5. x' = 3x - y, y' = x + 2y

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Q: p(x) = x(x-k) (x+k) is divided by (x-2k) is  3/4. Find the value of k. Hence, find the remainder…

A: We have p(x)=x(x-k) (x+k) Remainder theorem says that when a polynomial px is divided by x-a then…

Q: Having suffered an embarrassing defeat in Hobshire, Achlúk is rearming his army of orcs with axes,…

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Q: Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5=2.2513.

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Q: QUESTION 3 For a certain population the growth rate is dependent on the size of the population. The…

A: From the above details we have,

Q: 2 -1 -1 4 -1 1 2 = 1 -1 0 -1 -1 - 0 −1 1 30 020 03 10 0 ㅜㅜㅜ -1 -1 -1 -1 0

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Q: 10 dx 64-Г 3

A: It is known that  ∫0π2sinpt cosqdt=Γp+12Γq+122Γp+q+22. Here, Γx is the Gamma function.

Q: Q.1: Solve the differential equation below; y' = e²x-1 y²

A: The given problem is to solve the given differential equation. Given differential equation…

Q: Q4:A/ solve the following linear programming problem using graphical method Max (Z)=80x+72y S. T:…

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Q: 1) Let A be a and r(a) < 1 Banach algebra with unit, let at A Then (1-a) is invertible and ¡M8 (1-a)…

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Q: Consider the function i) f(t) = For r. MICHAL a half-ranc 0 <1 < 1/12 1 <1<1 function, f(t)rier co…

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Q: Find three positive numbers x, y, and z whose sum is 21 and product is a maximum.

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Q: ||| O GEOMETRY, MEASUREMENT, DATA ANALYSIS Word problem involving the Pythagorean Theorem An 11-ft…

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Q: N -10+ -30+ (x)+(x)=x too-

A: Graph of h(x)=f(x)+g(x) is given where f(x) is cosine function. To determine: The function g(x).

Q: 7. A windshield wiper is 18 inches long and has a blade that is 12 inches long. If the wiper sweeps…

A: Consider the diagram, So, area of the shaded region is determined by, area of shaded region=area of…

Q: (2) In the following a set V, a field F, which is either R or C (Complex Numbers), and the…

A: We know that ℝ is a vector space and ℝ2 is a vector space represented by a, b : a, b∈ℝ. A vector…

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S6 dx x+8 Write your answer exact…

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Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: Find the following using the table below. AN X 1 2 4 1 2 f(x) 3 4 ƒ'(x) 1 3 g(x) 1 4 2 3 g'(x) 1 3 4…

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Q: 1. Find the lateral area of the square pyramid. 2,5cm

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Evaluate each expression, where and indicate addition and subtraction, respectively, using a 12-hour…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Solve the differential equation by variation of pa 2y" - 4y + 4y = ex sec x y(x) =

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Q: Identify and sketch the domain of the function In (4-x² - y²)-√√ √(x−1)² + y² −1 f(x,y) =

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Q: Use power series to solve the differential equation; Y y" + xy' + y = 0

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Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S6 dx 8 8 x-6 6 x+8 Write your answer…

A: Use the following formulae, to evaluate the definite integral. Midpoint Rule:…

Q: 11. Let (V,(, )) be a complex inner product space. For vectors v, w, set (v, w)r = 1/[(v, w)+(w,…

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Q: Use the matrices that you found in part (a) to show that the linear transformation f = kohog is…

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Q: 4. A water glass is shaped like a cylinder with height 9 in. and diameter 4 in. How many times as…

A: Explanation of the answer is as follows