Compute the 35th percentile, the 55th percentile, Q₁, Q2, and Q3 for the following data. 14 26 28 11 15 21 9 36 31 24 23 29 19 17 33 P35 P55 Q₁ Q₂ Q3 I

Q: = (b) ſ sin (7(x – 2y)²) dA, where T is the triangle bounded by x – 2y T 1, y = −3x and 5y = -x.

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Q: 7. Let x² - y² 2xy '(x² + y²)²¹ (x² + y²)²) when (x,y) # (0,0). a) Determine the potential o to F…

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Q: ²-6m+9=0 3m 3m +9 = 0 (m-3)-3(m-3)=0 (m-3) (m-3)=0 m-3 = 0 m = 3 m-3 = 0 3 = 3

A: For the given quadratic equation m2-6m+9=0  m=3,3

Q: 2. Find the volume of the solid whose base is the region bounded between the curve y=x² and the…

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Q: 10. Consider the equation u, = ux. Use forward differences for both partial derivatives. (a) Write…

A: Since there are many multiple questions, so here solutions of first three parts.

Q: 3.6.5. Let X be a finite-dimensional vector space, and let B = {₁,..., ed} be a Hamel basis for X…

A: Given :  X be any finite dimensional vector space and  B = e1, e2, ..., ed be a Hamel basis.…

Q: 3. Find the trajectories of solutions of the systems. dr dt = -4y³ - 2y = 4x³. 4. Find the…

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Q: Consider the system defined by: O a. O b. ن 8-618-00 2 0x₂ 3 The characteristic equation can be…

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Q: (b) Draw the complex plane, locate the elements of the set {ze Cz(1+i) = R}, and provide an…

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Q: (-1)m Am = 7+ m Bm 2 min {5-m(-1)m+3, 7} R= {m EN: Bm = -4m}, V = {m EN: Bm = -8}, W = {m € N: Bm =…

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Q: find the approximate root of function f(x) = 3.43x³ -6.4cos(x) - 9.61 by using the Newton raphson…

A: Sol:- Here 3.43x3-6.4cos(x)-9.61=0Let…

Q: 12. Find the solution of the initial boundary-value problem Utt = c²²u, 0 0, u (x, y,0) = sin² x sin…

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Q: 1. Use the separation of variables, u(r, 0) = R(r)e(0), to solve the following partial differential…

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Q: for the graph determine between the vertices and the excentricity 40

A: To determine the distance between two vertices and define the eccentricity of the graph.

Q: Determine the following value: 1. F20 + F30

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: (2) Consider: fi R f (x) ->> + z whole = x² + 2x (a) find the function is one. to one, on-to (b)…

A: Function which is one one and onto

Q: (b) [₁³ sin (π(x – 2y)²) dA, where T is the triangle bounded by x – 2y = 1, y = −3x and 5y = -x.

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Q: Calculate the following integral: f+ + +∞ е-6x²-6xy-6y²-8yz–6z² dxdydz

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Q: a) A student is measuring the length of a wood. The reading from the measurement tape is 56.73 ±…

A: Sol:- Given Measurement :-56.73±0.02 cmAbsolute Error = Actual Deviation in one side = 0.02

Q: Locate the centroid of the shape shown. Use r= 15cm. X a. What is the y-coordinate of the centroid…

A: Given- Locate the centroid of the shape below. Use r = 15 cm To find-  What is the y-coordinate of…

Q: 3. Convert the following decimal numbers to their hexadecimal equivalents: a. 255.875 b. 3000 c. 70…

A: Sol- (c) Decimal to hex calculation steps Divide by the base 16 to get the digits from the…

Q: What if a1=16

A: Same procedure as before.

Q: 4. (a) Calculate the chromatic number of a graph whose chromatic polynomial is t(t-1)(t - 2)².

A: A naive way to find the chromatic number of a graph from its chromatic polynomial P(n) is        –…

Q: Find the inverse Laplace transform of (s² + 4) s(s² +16)

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Q: --- Let A = = 1 2 1 6³1 -1 -5 5 -2 -8 6 (i)Find the solution of Ax = c where c= 4 [4] tion of {[1 -1…

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Q: What is the prime factorization of 125

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Q: (c) Find an n such that P₂ is isomorphic to Rn. (Don't just state the value of n; prove why the…

A: As per the policy, we are solving first question. Please repost it and specify which question is to…

Q: Let A 3-2 4 62 23 -2 4 Find the eigenvalues and the corresponding eigenspaces for A. Orthogonally…

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Q: 8. Compute the flux of the vector field. F(x,y,z) = (2x -z,-2y, 1-2x) through S= {(x,y,z) € R³: z =…

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Q: The following system of equations has a unique solution. ) Write the system as Ax = b ) Perform PLU…

A: Given system is   x1 - x2 =3  x1 +2 x2 + x3   = -32x1 +3 x2 + 2x3 = -5

Q: Q5. Find the Laplace transform of following functions (a) t³eºt (b) 1-e² t

A: Sol:- (a) Le6tt3Use Laplace Transform table:   Ltkft=-1kdkdskLftFor t3e6t:  ft=e6t,…

Q: The equation for the sinusoidal graph below is: f(x) = 4sin(2x) 3sion (2) 1 f(x) = 3sin f(x)=2sin…

A: Given is a sinusoidal graph.   To Choose: The correct equation for the sinusoidal graph

Q: True or False: Note: explaining your answer can either include a counterexample, a diagram, or a…

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Q: ted solutions. (d) Show that the scheme is stable if 0 < At/Ax ≤ 1.

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Q: Q1. Simplify (cos-isin )² (cos 70+isin 70)-³ (cos 40+ i sin 40)² (cos+ i sin 0)³ using De Movier's…

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Q: Let B={b₁,b₂, b3} be a basis for R³, where b; are as given below. If x is the vector given, find the…

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Q: Using the error propagation in formulas, determine the range in the computation of a volume of a…

A: Please comment if you need any clarification.  If you find my answer useful please put thumbs up.…

Q: Q2: Find inverse F.T of: Y(w) = π 8(w) + Ans. y(t) = (1 + 2e-t cos4t)u(t) 1 + 2(1 + jw) (1 + jw)² +…

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

Q: 6. Given the final tableau (after deleting the columns of the artificial variables) for phase 1 of…

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Q: For j=4, solve for the f(w, 8), and for any given initial values (ONLY assumed by you) using the…

A: Given: The function fω, δ=e-jωδ-δ3 is given. To find: The value of fω,δ at j=4 by bisection method.…

Q: A warehouse tracks inventory using stock codes consisting of a sequence of 5 uppercase letters…

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Q: 4. Determine a power series for the function 2 A. f(x) = 3-5x x = 2 B. f(x) = C. g(x) x²+3 D. h(x) =…

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Q: Verify the Divergence Theorem by evaluating [/F. F. N ds as a surface integral and as a triple…

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Q: 7. Compute the second fundamental form.

A: Given: Xu,v=u2-cosv, u+sinv, cosv We have to compute the second fundamental form.

Q: (b) Find the number of terms that are to be retained if an accuracy of 10-10 is required in solving…

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Q: 1. Determine the convergence of the series 3η Α. Σ.Ξ Β. Σ.Ξ (-5)n+1 3η Ζη=0 n2+2 3n C. Ση=0. D. Ση=0…

A: 1. To Determine: The convergence of the series A. ∑n=0∞3n-5n+1 B. ∑n=0∞3nn2+2 C. ∑n=0∞3nn3 D.…

Q: 8 people fit comfortably in a 2 yards by 5 feet area. Use the value to estimate the size of a crowd…

A: It is given that the area occupied by eight people is 2 yards by 5 feet. We will convert 2 yards in…

Q: Q4. Using Lagrange's Interpolation method, determine the value of y if x is 13 from the following…

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Q: First convert the problem to a system of ODE then obtain Y₁₂ Y₂ and Y₂ by Euler method= у У 1 3 h =…

A: Given : y"+ty'=sint      h=0.1       y0=0  , y'0=1 To Find : y1 , y2 , y3

Q: In the general equation f(x)=asin [k(x-d)] +c the equation of the axis of the curve is determined by…

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