u:(x, t) = и (т, Urz(T, t) u,(0, t) = uz(1, t) = 0 u(x,0) = f(x)

Q: 1. Solve this system of non-linear equations using your calculator. Adjust the calculator window to ...

A: The given problem is based on non linear system of equation. We have to provide the solution. The ca...

Q: (c) Find the value of the constant a, for which, the following function f(x) is continuous V1+ax V1–...

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Q: Solution by Gauss seidel method. - 9х1 + 2х2 + Зx; 3D 7 X1 + 12x2 + 9x3 = 2 4x1 + 6х2 + 14х; 3D 1

A: Let x1 = a, x2 = b and x3 = c So Given equations are9a + 2b + 3c = 7a + 12b + 9c = 24a + 6b + 14c = ...

Q: Suppose that A ⊆ B and x ∈ A. Use the method of “proof by contrapositive” to show that if x ∉ B - C,...

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Q: Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the deriva...

A: We have to find the 3rd maclaurin polynomial of (1 + x) 3/2.

Q: Petermine whether the series is convergest or divergent.Write Xact testthat you u しくe, 2Sin

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Q: Find the equation of the tangent line to the graph of the function at the given value of x. f(x) = x...

A: Given f(x) = x2 + 5x

Q: 18. The equation of the parabola is y? + 24x + 144 0. Solve the following. Standard form of the para...

A: Let us consider the standard equation of parabola y-k2=4p(x-h) Vertex of parabola is (h,k) Foci of ...

Q: For the following exercises, find the area of the surface obtained by rotating the given curve about...

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Q: B. THE CIRCLES B.1. Express the following given to its standard form, graph and determine the genera...

A: 8.

Q: Are the following statements True or False? Input T for true and F for false. (a) If A-1 is invertib...

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Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that A2...

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Q: dx to

A: Given: ∫84x2+12dx To evaluate: The given integral.

Q: Consider a single node x0 and stepsize h. Based on these answer the following: (Q) Derive the formul...

A: Given a single node x0 and step size h, we are asked to derive the formula for the Forward differenc...

Q: Suppose z = (7) + (4)i. Then Im (z ') =?

A: Given z = 7 + 4i

Q: Let V = P5(Q) the vector space consisting of polynomials in the variable x of degree at most 5. Let ...

A: See below for soluton.

Q: Are the following statements True or False? Input T for true and F for false. (a) If A-1 is invertib...

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Q: 4. A theorem states that any continuous function on a closed and bounded interval [a, b] is uniforml...

A: Let D be a nonempty subset of R. A function f:D→R is called uniformly continuous on D if, for any ∈&...

Q: -256 – 256/3i = 2 cos () – 2i sin (E 0.46123174148488i A 2 1.946089741159648 – 27 -256 – 256/3i = 2 ...

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Q: Consider the PDE P(z,y) ди +Q(x,y)º ôxôy = 0, +e. where P and Q are polynomials in two variables wit...

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Q: Let Yn+1 – 1.5yn + 28 be a linear DDS. - a) Suppose the initial value is 69. Find the explicit solut...

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Q: Let u(x, t) be solution of Utt - Uxx = Xxt -00 0 u(x, 0) = u(x, 0) = 0, Then u(2, 3) is equal to (a)...

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Q: 23. Using mathematical induction, show that dn n [F (x) · g(x)] = D dk [f(x}] • n dn-k dxn k) dxk k=...

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Q: Given the data below about the Axial Strain(%) vs Deviator Stress: Axial Strain (%), x 2 Deviator St...

A: We can solve this by using given information

Q: How did it became 10pi/27 from the equation encircled?

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Q: 2. Laguerre Polynomials The Laguerre polynomials can be calculated via the Rodrigues formula d" re²....

A: According to guidelines, we can attempt 1 question

Q: dy Find by implicit differentiation. dx (1+ e*) =4+ In (x + y), y - x Select the correct choice belo...

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Q: If a(n) = 1/((n)*(n+1)), what is the 5th term of the sequence. Here, n is a positive %3D integer. 1/...

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Q: show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is gen...

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Q: 3-11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Ex...

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Q: In what direction from the point (1,-1) is the instantaneous rate of change of 22 f(x,y) = 3x* – 10x...

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Q: (f) A calculator is sold under hire purchase term. A deposit of 560/- is required and a monthly inst...

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Q: 21 +2.T.0 () +2-т-0 3 • k = 0: V512 ( cos 2 (cos (-) (–)) = 2 cos () – 2i sin () + i sin 3 COS 9. + ...

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Q: how can you make a Python Script executable on Unix?

A: Solution

Q: 8 0 The matrix A= 0 5 Is found to have the following eigenvalues: 3 0 8 2 = 11, 2, = 5, and A, = 5 (...

A: Use the given information.

Q: What is the nine roots of -256-j256√3

A: We will find the nine roots of the complex number -256-j2563  First, find the polar form of -256-j25...

Q: Evaluate the double integral So 2 -z- y dydr. O 0.82 O 0.67 O 0.92 O 1.04

A: In first question first we integrating with respect to y and putting the limit then integrate with r...

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogo...

A: Given vectors are y=466−1, u1=1101, u2=−120−1 and u3=−1011. We have to write the vector y as a sum o...

Q: 2. Let 2 2 -2 A = { 5 1 5 -3 1 -3 a. Compute eA using the definition of the matrix exponential. b. W...

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Q: Reduce to the form a + bi: a. (1/i)2509 b. In (-5).

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Q: Use the roster method to list the elements in the set: TI distinct letters of the word "senses". Use...

A: We have to write the distinct letters of the word "senses" in roster method.

Q: Use the method of disks or washers, or the method of cylindrical s the volume of the solid generated...

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Q: 20. The equation of the parabola is x² + 16y -8x + 16 = 0. Solve the following. Srandard form of the...

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Q: Find the area of the surface obtained by rotating the curve y? = 4x + 4, 0 <x s 8, about che x-axis.

A: We have to find the area of the surface obtained by rotating the curve y2=4x+4, 0≤x≤8 about the x-ax...

Q: There is a one-to-one correspondence between any line and the set of real numbers. This axiom simply...

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Q: Consider maximising 4- x2-4y2 + 2xy where where x 2 24. What y-value solves this maximisation proble...

A: Consider the function fx,y=4-x2-4y2+2xy, with inequality constraint x≥24. To find the y-value which ...

Q: A 88.3 g piece of copper (specific heat 0.380 J/g.°C) is heated and then placed into 400.0 g of wate...

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Q: Suppose T:R*R³ is the transformation induced by the following matrix A. Determine whether T is one-t...

A: Here given  A=1-43-6-28-510-28-56 Also given T:ℝ4→ℝ3 is a linear transformation associated with matr...

Q: Find the number of proper subsets for the following set: L {x | x is a letter found in the word assa...

A: We have to find the number of proper subsets.

Q: *Sotve the fotowing tineat optimization Problem using the Latge M me thod- Max Z=Xx+8X2 Subject to Z...

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