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Q: Always show full working. Where possible give the exact answer. 1. A biochemist is testing the…

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Q: For the matrixA=daig(-2,-1,2), put the following values in increasing order: det(A), rank(A),…

A: The given matrix is,  A = diag(-2, -1, 2). We have to put the following quantities in increasing…

Q: The numerical value of the lim 31-0 Question 1 n+3 nln (2) n+1 is equal to

A: Note:-Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Example 2.19. Find a real root of the equation x³ - 2x - 5 = 0 by the method of false osition…

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Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

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Q: How many edges does a tree on 9 vertices have?

A: A tree with n vertices has n-1 edges.

Q: 4. Let S={1,2,3,...,10}. Suppose you pick an element A from the power set of S. What is the…

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Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₁ + x₂ +5x3 = 5 is ?. a)…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

A: This is a problem of the volume of rotation

Q: 4] Solve the equation, and find the values of x and y. ex + ln y = 2 sin(x) + cos(y) = 1

A: Solution : Given equations are, ex+lny=2sin(x)+cos(y)=1 Solving above non linear equations by…

Q: A shrimp farm in thailand starts with 3,000 shrimp. the natural growth rate of shrimp is 12% per…

A: Given that a shrimp farm in Thailand starts with 3,000 shrimp that is at t=0 we have yt=3000 where…

Q: Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not…

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Q: Q.1 Find Laplace Transform of the given functions: 1. f(t) = (0, 0≤t<T 1, ≤t<∞0 3. f(t) teat sin(bt)…

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: 1. Prove the following using a truth table. {℗ is a symbol for XOR.) p@q = (pvq) ^ (p ^ q)

A: We will make the Truth table to show the given two statements are equivalent.

Q: Example 2.40. Solve x¹-5x³+20x² 40x+60=0, given that all the roots of f(x) = 0 are complex, by using…

A: Here we need to solve equations using Lin-Bairstow Method.

Q: 2. Which is the main connective of the following sentence: -(F-G)→ H A. - B.. C. → D. O

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Q: t, g(t)= (t-4)², (9t-e20-4t, t <3 3<t<5 t25

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Q: Suppose A is a 3×3 symmetric matrix such that [x_y_1]4|\y=xy-1. X If p is the number of positive…

A: My solution is correct,  so request you to check your options  for q please.

Q: QUESTION 3 Find the general solution of the following linear first-order ODE (1-x²)y' +2y-x=2

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Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

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Q: v" - 4v" +5v' - 2y = 7t-5. v(0) = 0. v'(0) = 0. v"(0) = -2

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Q: If S., t, = \n(n+1)(n + 2)

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Q: 7-15 SIMPSON'S RULE dx xex dx, Evaluate the integrals A = B = dx J = C by Simpson's rule with 2m as…

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Q: The numerical value of 34 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of Lxds R xdA is…

A: We have to find the numerical value of  ∫RxdAwhere R is the disc with centre at origin and radius 5.

Q: Given set U = {1,2,3,4,5,6,7,8,9,10} and A = {x | x is an odd number}. List the elements of set A.

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Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: ● ●● 4

A: Here in the top row right corner ball was removed in each step if we observe row wise. Other wise if…

Q: y"" + 2y" - 11y' - 12y = 11t-9, y(0) = 0, y' (0) = 0, y" (0) = -3

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Q: The following values are obtained from the function f(x) = 2* X: 1 2 3 5 7 Ans. 15.65 f(x): 2 4 8 32…

A: Newton's divided difference formula can be defined as:…

Q: The volume for solid of revolution between the curves y = √49-x² and y=0 around the x-axis is (26/3)…

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Q: Consider the direction field below for a differential equation. U

A: Given,

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = •[ f(x) dx + [90 g(x) dx,…

A: First we identify the region by plotting (sketching) it.

Q: 3. Transform the following to Laplace equivalent a. y(t) = of усь +0 5 -66 3 b⋅ y ≤t) = 100+ € ² +…

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Q: Example 2.25. Find a real root of the equation cos x = 3x - 1 correct to three decimal places using…

A: Here, we need to use Iteration method and Aitken's Method to solve given equation.

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. The x-coordinate of the centroid of the…

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Q: Example 2.33. Evaluate the following (correct to four decimal places) by Newton's iteration method :…

A: (i) To find: the value of 131. Please post the multiple questions separately. Here I answered 1st…

Q: 1. Determine the parametric equations of the curve of intersection of the ellipsoid 4x2 + y² + 4z² =…

A: 1) determine the parametric equations of the curve of intersections of the ellipsoid 4x2+y2+4z2=4…

Q: f(1) = 9l²u₂o(1) + 6(l − 5) ³u₁ (0) — 12 sin()u(0) 3 15

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Q: Example 4.15. Using Given's method, reduce the following matrix to the tri-diagonal 2 1 3 form: A =…

A: Step 2 contains the required form of the matrix.

Q: Consider the solid formed by the boundaries outside the elliptic paraboloid = z and inside the…

A: As per the question we have to formulate the double integral (in Cartesian coordinates) to find the…

Q: a.) 2y + y = 0, b.) y" - 10y' + 9y = 5t, y(0) = -3 y(0) = -1 and y' (0) = 2

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Q: A rope that weighs 0.5 lb/ft is attached to a bucket filled with cement plaster that weighs 22 lbs.…

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Q: If+b+=++, then show that for 1 a" +b" +c"

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: We have given that the function ,  x2 y2 + 2xy = x3 - 3xy2 We need to find implicit derivative ,…

Q: b. 1008-3 8-³x³ dx

A: We need to evaluate ∫0∞8-3x3dx Let u=313x Differentiate both sides with respect to x:…

Q: Suppose f and g are two functions with nonnegative values. If f(n) is (n) and g(n) is (n³/2), then…

A: We have given that , f and g are two functions with non - negative values. If fn is θn. Also , gn is…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A:

Q: Consider the sequence of functions {fn}nen, where nx fn(2)= Væ€ [1, 10]. 1+nx (a) Find the pointwise…

A: Given :  fn is a sequence defined by ;  fn(x) = nx1+nx ,  ∀ x∈[1, 10]. To find :  (a) The pointwise…

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: The given implicit function is  x+y3=2c(xy4) Differentiating implicitly w.r.t  x,…