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Q: Answer the folowing if it is: ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE. (a) If S={u,,u,,u,,u} is…

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Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. y Answer:y- Mi…

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Q: Consider the equation y"-y-2y = 0. Assume that y₁ (1) = ¹ and y₂(1) = e² form a fundamental set of…

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Q: Find the sum. 5 Σ k = 1 (k+ 1)2(k - 5)

A: Sum of Squares Formula for “n” numbers = 12 + 22 + 32 ……. n2 = [n(n + 1)(2n + 1)] / 6   sum of…

Q: = 1 traced counterclockwise and C₂ be the paral- lelogram with vertices at (2, 1), (1,-1), (-1,-1),…

A: Given,C1 be the ellipse x29+y24=1C2 be the parallelogram with vertices (2,1), (1,-1), (-1,-1), and…

Q: Show that √3 € Q [√6].

A: Let 3∈Q6 Then there exists rationals a,b such that 3=a+b6 Consider:…

Q: 5. Suppose A is a 10 x 6 matrix and the system of equations Ax = 0 has only the trivial solution.…

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Q: It cost $200,000 to put a kid through college.  How much money would you have to deposit monthly…

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Q: Exercise 8.11. Suppose |G/Z(G)| = p², where p is prime. Prove that G/Z(G) ≈ Zp & Zp.

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Q: Which of the following pairs of vectors are linearly independent?

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Q: 5. This video showed you strategies for graphing y = csc x based on the fact that it is the…

A: Given That : y=sec(x) To Plot : plot the graph of y=sec(x) using cos(x) function

Q: 1 2n+3 - whether an C. Is the sequence bounded? is increasing, decreasing or not

A: a sequence {a_n} is called bounded if there exists two real numbers m and n such that…

Q: Suppose an undamped forced spring mass system is driven by the equation d²x +49x = f(t), di where…

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Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: Provide an example of a that is onto. Can this fun Justify your answer.

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Q: Solve the following initial value problem to find y(2). dy 2 at =yt ²-l·ly, y(0)=1 using midpoint…

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Q: 3. Let S be the subset of Mmn containing all matrices A such that (A)11 = 0. Determine whether or…

A: Introduction: A subspace is first of all a non-empty subset of a vector space. If it is a vector…

Q: Find the matrix A' for T relative to the basis B'. A' = T: R² R², T(x, y) = (x + y, 3y), B' = {(-4,…

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

Q: Refer to the Figure below; disregard the differential lengths and imagine that the object is part of…

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Q: The binary operation a o b = a is defined on Z. Select the correct statements. The binary operation…

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Q: Let F= (x, y², z²). (a.) Let E be bounded below by xy-plane and above by the sphere x² + y² + 2² =…

A: Given: Let us consider the given, F=x2,y2,z2 Let's determine a) The flux of F through ∂E direct…

Q: 2 se Stokes's Theorem to evaluate F. dr where F(x,y,z) = −ln√√x² + y² i + arctan с -25-2x-3y over r…

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Q: Given are five observations for two variables, and y. Excel File: data14-25.xlsx What is the value…

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Q: Exercise 8.8. Let p be a prime. Prove that ZpZp has exactly p+1 subgroups of order p.

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Q: 7. Using Lagrange multipliers, determine the absolute maximum and minimum values of the function on…

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Q: State whether the following statement is true or false: The vectors u, v and w are linearly…

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Q: Calculate the flux of the vector field F = (xy, xy, z) through the surface > Σ = {(x, y, z) = R³ : z…

A: Given That : F=(x y , x y ,z) ∑=(x,y,z)∈R3:z=1-x2-y2,z≥0 To find : calculate the flux of vector…

Q: Determine the y-coordinate of the centroid of the area under the sine curve shown. Answer: i Save…

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Q: Exercise 8.7. (a) Determine the number of cyclic subgroups of order 10 in Z30 Z120. Find all the…

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Q: Let V = R² and S = {(0, y) ly = R}. If v = (1,0), then what is the coset v + S. O The line y = x. O…

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Q: Apply Power Series to find the general solution of x" + x = 0.

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Q: : The region D in the x, y plane defined by the inequalities 0 ≤ y ≤4, √√4y-1² ≤x≤ Isas √√16-₁², can…

A: We have use relation between cartesian and polar co ordinate system  x= r cosθ  , y = r sinθAlso…

Q: κα Σ (20 + 1) sin2 δι l=0 = = κα κα Elsin de + Σ ( + 1) sin? δι l=0 l=0 ka 1 Σε (sin? δε + sin?…

A: As per the question we are given a partial sum involving sin function and we have to show the given…

Q: Let F= (x, y², 2²). (a.) Let E be bounded below by xy-plane and above by the sphere x² + y2 + 2² =…

A: Given :   F=x2 , y2 , z2      ;     x2 + y2 +z2 =1 To Find : (a) Flux               (b) flux through…

Q: 1.2. Prove that for every matrix A, (AT) = A

A: Introduction: There are many properties that are exhibited in a matrix. One such significant matrix…

Q: ¹ f* (tî + 37 — sin(1) k) dt. Find Ⓒ 2rî Oni +ĵ- k O î+ 2ĵ- k ½a²î + 3aĵ – 2 k 2

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Q: 2. Using h = 0.1, approximate the value of y(0.5) for the given differential equation using a) Euler…

A: Given :   y'=y+2x-x2                      y0=1                 h=0.1 To Find : (a) Euler method y0.5…

Q: State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n + 1 3n…

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Q: Find the area of the surface over the given region. The sphere, (u, v) = 10 sinu cos vi+10 sinu sin…

A: Introduction: When the surface is provided is parametric form, the surface area is determined…

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to…

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Q: The figure to the right shows the letter L in a rectangular coordinate system. The figure can be…

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: Use the definition of Taylor series to find the first four nonzero terms of the Taylor series,…

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Q: At noon, ship A was 8 nautical miles due north of ship B. Ship A was sailing south at 8 knots…

A: 1st we will represent the situation in diagram and then use Pythagoras   theorem to find distance…

Q: y 125 mm 125 mm 200 mm 200 mm 150 mm- 60 mm X

A: Given figure Area of the figure = Area of rectangle ABCE - ( Area of circle C + Area of triangle…

Q: Consider the rectangular box enclosed by the planes x=0, x=3, y=0, y=5, z=0, and z=2. Let S₁ and S₂…

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Q: Set A is the set of all natural numbers less than 30 that are divisible by 5.  Express the following…

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Q: Cosine of Angle of Rotation (3d) The following matrix is the matrix of rotation. Find the cosine of…

A: Consider the given rotation matrix, Q=-23-13-2323-23-13-13-2323 Here we need to determine cosine of…

Q: Find the inverse Fourier transform of the function 10 sin(3) w+T

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Q: Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0)…

A: Since you have asked two questions, here is the solution of part (a).