Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive zeros xk and xk+1 of u(x) we have π π

Q: In(1-76) + 26 zsin(x¹) Iª Use power series to compute lim Select one: O 1/2 03 O O O 1/6

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Q: EXERCISE 2.2 Derive the expression of the Bezier curve for the four points Po = ( = (0, 0, 0), P₁ =…

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Q: Using the geometric sequence find a10 1,1/5,1/25,1/125... a10=___

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Q: Consider the initial value problem: y-y+8, 0sts 1, y(0)-1 The approximation of y(1) by using…

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Q: Find the sum of the series: sum_(n=0)^infinity (((-1)^n

A: We find required sum of series.

Q: Consider an RC circuit with R = 10, C = 2, Eo = 0. Suppose that the initial charge on the capacitor…

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Q: 5. 4x² - x+4 x³ + x² + 2x + 2) Evaluate ·S= -dx.

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

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Q: 11. Consider the function defined by f(x) = e-x². i. ii. iii. Using the Maclaurin series expansion…

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Q: xº. Prove that the function f(x)=2 a concave function. For this purpose, compute the Hessian matrix…

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Q: Find the residues of the following functions at the indicated points. 2-2 a. at z = 0; at z = 1 b.…

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Q: show that any infinite discrete topological space is not compact

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Q: 4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: 2) 2° +2¹+2²+...+ 2n = 2n+¹ -1 Remember: 2⁰=1

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Q: the smaller region bounded

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Prove: A bipartite graph with an odd number of vertices does NOT have a Hamilton Circuit.

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Q: Having chosen primes p and q, and suitable integers d and e, what is the public-key of our RSA…

A: There are primes p and q and integers d and e, the public-key of RSA cipher is: n,e=pq, e

Q: Write the given function as a power series and give the interval of convergence. a.) f(x) = 3x²…

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Q: 1. If f is an increasing function on (a, b) and P= (ro) is any partition of [a, b], prove that sup…

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Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

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A: Each volume is 1 inch think, without the covers. There are three volumes. If one volume is 1 inch…

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A: Draw a line start at 0, 2, 0 and move in the direction of 2, 0, 4. The parameter goes from 0 to 1.…

Q: ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.

A: Use parallelogram method of vector addition.

Q: tatements represents this cooling process? se the correct statement)

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A: Apply differential  y=f(x)   ∆y=(dy/dx)∆x

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Q: in fuzzy graph What is the fuzzy trees ? And give an examples

A: We have to define fuzzy tree with example.

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Q: True or False? 5. Let x and y be integers. If 5x − 7 is even, then x is odd. 6. Let x and y be real…

A: To find which of the above is true or false :-

Q: 9. Show that is a two-dimensional vector Ai = -x2 X1

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Q: By using Chain Rule, find au/əx, du/dy, du/dz at (x, y, z)=(√√3, 2, 1) p-q u= q-r p = x+y+z q=x-y+z,…

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Q: Juan is designing a pool and a deck for his family. The pool has the shape of a cardioid whose…

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Q: 3. Find the Maclaurin series for ƒ(x) = ln(1+x) using the definition of a Maclaurin series. Also,…

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Q: Find the determinant of the following elementary matrix by inspection. 1 0 0 0 1 0 E 0 0 -3 det(E) =…

A: I have given the answer in the next step. Hope you understand that

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Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

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Q: True or False? 7. If A and B are two sets such that A ∪ B = A ∪ C then B = C.

A: Given: If A and B are two sets such that A ∪ B = A ∪ C then B = C.  We check that it is true or…

Q: ・ Rephrase the initial value problems as integral equations yzyte, yco) 21 2 * x²= t-2² (0)=0 1 2

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Q: 8. a) Suppose (an) is a real sequence. Define the phrase, "(an) is a subsequence of (an)". b) Prove…

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Q: For each part below, consider the area enclosed between the curves y = 2+1, from 1 = 0 to x = 3/1/2…

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Q: 3.0 Let T: R³ R be a temperature function defined as T(x, y, z) = x² - y² + 2xyz. Find the heat flux…

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