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Q: Determine whether the Fourier series of the following functions converges uniformly or not. Sketch…

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Q: (a) Find the exact length of the curve (i) r = 1+ sin 0, 0<0< 2ñ, (ii) r= 2(1+ sin 0), 0<0< 27. (b)…

A: If f is continuous and non negative on the interval α≤θ≤β with 0&lt;β−α≤2π. Then  Arc length of…

Q: A company estimates that a certain piece of machinery will have to be replaced in five years' time…

A: Future value of growing annuity (due) = [P/(r-g)] *((1+r)^n - (1+g)^n / (r-g)) P = Initial payment =…

Q: EXERCISES Find the absolute maximum and minimum of the functions on the given domains. 1) f(x, y)…

A: Here we find the first and second order partial derivatives of function and use the first order…

Q: If a function f: D R is differentiable at a point (a, b)ED, then f is continuous at (a, b);

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Q: matrices over K. For each j, 1 <j<n, the function E defined by

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Q: diverges. . Determine wether.the.semies.converyes.co.. .b.(.n.) .C... n³+ 3

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Q: Q2: Find a root of x - 0.5 – 2-2x = 0 by using Newton-Raphson method correct to %3D 4 decimals so…

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Q: ACTIVITY 2. A. FIND MY SIDES. Direction: Determine the possible sides of a triangle. Encircle the…

A: Note: A triangle made of three line segments is valid if sum of its two sides is greater than the…

Q: 23. Jake had these balances on his credit card for his last billing period. He did not pay the card…

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Q: b. 14 d. 36 11.What is the probability of getting an even number in tossing a die once? а. 25% b.…

A: Solution:-As per guidelines I submit first question only

Q: (1 2 3 4 O = 3 1 4 5 6 ).r - (; 2 3 4 5 6 1 3 6 5 4 2 3 4 5 6Y (1 5 2 4 3 1. Compute a100 Compute…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Prove that a line cannot contain three distinct points.

A: We prove that a line cannot contain three distinct points by method of contradiction.

Q: Find the trace of the matrix A =

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Q: Consider the functions f: R2→R2 given by  f (x,y) = ( 5y−3x, x2)   and g: R2→R2 given by g (v,w)…

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Q: The series E(-1)"-1. Vn+1 is conditionally n=1 convergent, but not absolutely convergent. Select…

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Q: 15. y = sec'x, y 8 cos x, -T/3 < x< T/3

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Q: Given the following experimental values:.. 1 3 10 15 Fit the given data to a parabola of the…

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Q: Find the Laplace transform of 1. f(t) = [1– uz,(t)](2 sin t – sin 2t)

A: We have to apply the Laplace transform of the given function.

Q: Consider the function defned by f(x, y) - y-e* (a) Find the domain and ran ge of f. (b) Draw a conto…

A: For a function: z=f(x, y), the set of real values of x, y for which z is defined is called the…

Q: ind the maximum value of |2iz? + 3| on |z| <1 using the Maximum Modulus Principle.

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Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: 1 Given that L-(4+9)) = 8in(Bt) – sin(Dt) L-'(+4)(s²+9) Match the following values. 10 is the value…

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Q: (a) and value ot odiv arad - R Bind the and Curd gras te AX A = Le2 (b) gt Ř -Îx +âtêz and rolRi…

A: Using partial differential.

Q: 11.Which corresponding angles establish the congruence of the given figure below? a. ZK b. ZR C. ZM…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: f(x) = (x² + + 6) cos(4x) 3 х

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Q: 5. Use Laplace transforms to solve the following system of equations I' + 3x + y/ = 1 I' - a + y – y…

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Q: The Question: An airplane has to land at a destination 300 km northeast, with a wind blowing at 40…

A: Solution :-

Q: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. F =…

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Q: 2. (i) Let x, y be vectors in R?. Can one find a 4 x 4 permutation matrix P such that P(x y) = y ®…

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Q: For X and Y normed linear spaces, let {Tn} be a sequence in L(X,Y) such that Tn → T in L(X,Y) and…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = x 2y i  -…

A: To find the flux of the vector field F across the surface S. F=x2yi−zk S is the portion of the cone…

Q: Topic: (Conics, Parametric Equations, Polar Coordinates) Graph the polar equation and find the area…

A: Given  r = 2- 6cosθ

Q: 25. (i) Calculate the determinant of thenxn matrix (1 1 1 ... 1 1\ 1 0 1 ... 1 1 1 1 0 1 1 ... A = 1…

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Q: The productivity of a country is given by ​f(x,y)=14.41x0.427y0.573​, where x is the amount of…

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Q: M1 := sup ||T(x)|| and ||x||=1 M2 := inf{C > 0 : ||T(x)|| < C||x|| for all x e R"}. a) Prove that M1…

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Q: th n = 4 to approximate the integral

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Q: f (t) =t cos 81 +2 f (1) =1*tb +acosh 21 +bsinh 2!

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: In V, (R), where R is the field of real numbers, examine each of the following sets of vectors and…

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Q: 25. (i) Calculate the determinant of thenxn matrix 1 1 1 0 1 1 0 1 ... ... I 1 1 1 A = 1 1 ... 1 1 1…

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Q: Problem 10 (Hyperbolic Functions] (a) For what values of k is lime 3x cosh(kx) finite? X00 sin h(kx)…

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Q: dz IV. Suppose z is a function of æ and y, and a? – y? = 2"e®y. Solve for dx

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Q: 1/2 :Evaluate e sinx dx by using trapezoidal rule so that er < 0.025

A: Solution :-

Q: linear operator on the finite – dimensional space V. Let c1,...,Cg be the distinct characteristic…

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Q: (a) Find the domain and ran ge of f. (b) Draw a conto ur map of f for k =-2,-1,0, 2 (c) Using part…

A: This is the problem of multi-variable calculus.

Q: oblem 7. point) Find the eigenvalues 21 < 12 < 23 and corresponding eigenvectors of the matrix -2 25…

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Q: An open-top rectangular box is being constructed to hold a volume of 400 in³. The base of the box is…

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Q: k Ink is Ln=1 (k+1)3 In k а. k2 In k+ln 1 b. k3 In k+ln 1 с. k2 In k d. k3

A: Serie and sequence, limit comparison test