Let ƒ be defined on a neighborhood of xo. Show that if ø is defined on a neighborhood of to and continuous at to with x = ¢(t) and xo = ¢(to) then lim f(x) = lim f($(t)). tto

Q: x2 x3 x4 x5 x1

A: A: From graph Only for x1, f(x) >0 (For x2, x3, x3, x5  f(x) <0)    B:    f'(xi) >0 implies...

Q: Find L{f (t)}using the First Shifting Theorem, Note: a, b, e, w, k and n are constants 1. Il aydc303...

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Q: F(1) = [cos (t – ;) + sin (t -))« (- -;) + sin (t –)] u (t – ;) 2

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Q: 3. Use the transformation u = 4, v = xy to find || ry³ dA over the region R R in the first quadrant ...

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Q: Jc z + 1 dz, where C is the right half of the circle |z|=1 from z = -i to z = i

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Q: Find the Maclaurin series for f(x). f(x) = sin 3 %D (-1)4-플+ 플)2 TIX 2k f(x) : (2k)! n = 0 8

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Q: Kiara has 7 bags of beads. Some of the bags contain 8 pink beads and the rest contain 10 teal beads....

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Q: 2.18. Halah drew right triangle A JKL. She then drew A RST, which was a dilation of A JKL by a scale...

A: Dilation is a transformation in which the shape of the image remains the same and its size changes b...

Q: Determine the solution set to the complex equation z? – (8 – j5) z + (40 – j20) = 0. (Hint: quadrati...

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Q: Evaluate log (2 +3i)

A: We evaluate log(2+3i)

Q: Show that for any real numbers X and y. one of the following two case can happen: Either [x+Y = [×] ...

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Q: Evaluate the integral by reversing the order of integration. 16 dy dx y³ + 1

A: From the given problem, it is observed that the region of integration is x,y: x≤y≤4; 0≤x≤16. Draw th...

Q: 3. Differentiate. a) M(u) = (1-4u²)(u+2) b) g(x)= (-x+3)(x – 10) ) p(n) = (5n+ 1)(-n² + 3) d) A(r) =...

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Q: INSTRUCTIONS: Determine whether the following symbolized arguments are valid or invalid by identifyi...

A: Given symbolized argument is  ~D⊃~C   R⊃~D   R⊃~C  we have to prove that whether the given argument ...

Q: Find the general solution or particular solution of each of the following D [1+ ytan(xy)]+ xtan(xy)y...

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Q: 35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 ...

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Q: (c) Suppose that A is an n x m matrix full of zeros. Derive the More-Penrose pseudo-inverse of A. Ex...

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Q: The partially completed table below shows the ten basic solutions to the following e-system. The bas...

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Q: 3. [1 Set up an integral that represents the volume of the solid obtained by rotating the region bou...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: Evaluate: tan -12ß dß. A ß tan-128 – In|1+4ß²| + C B none of the given choices ß tan-12ß + –In|1+4ß2...

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Q: [1 1 -2 1 3 0 1 [2 3 -1] [1 1 -2 -1] 3 -7 3 2 -7 5. If matrix A = 0 0 -1 lo o 3 -3 2 -1 -2 a. Find a...

A: Multipart :    We have given a matrix ,  A = 11-20-1133-73013-32230-20  ~  11-20-1025-7400-1-1000000...

Q: Explain why the following assertions, despite looking false, are actually true. (a) All graphs with ...

A: (a). The given degree sequence of a graph is 6, 6, 5, 3, 2, 1, 1. We know that a graph is an Euleria...

Q: You are given the information that B = (a, b, c) is an ordered basis of R, where • a = (-34,0, -8) •...

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Q: INSTRUCTIONS: Determine whether the following symbolized arguments are valid or invalid by identifyi...

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Q: 4. a) Derive the half-angle formula for cos 2 1+cosx , and 士 1 – cosx sin- 士 from a double angle for...

A: We have to find the half angle formula.

Q: '(t) = 2π,04

A: We have to find the Laplace transformation of F(t).

Q: Select ALL true statements: (A) For any matrix A, we have det(A" A) > 0. (B) If M is a square matrix...

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Q: Given the following simultaneous equations: -2x1 + 2x2 + 9x3 + 1x4 + -1 = 0 5x1 + -1x2+ -5x3+5x4 +-7...

A: For better understanding, we use a, b, c and d at place of x1, x2, x3 and x4, respectively.

Q: 2. Use polynomial titting to tind a e

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Q: 2s + 5t Let W be the set of all vectors of the form 3s + 5t Find vectors i and i in IR such that W =...

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Q: Determine whether the series of functions E fn converges uniformly: (-1)n+1 Vn+ cos(x) D = (-0, 00)....

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Q: Let i = [-1 4] and j = [-4 1]. Find the following vectors. i = 62 i = -6j = | w = 62 – 6ỹ = = [ -

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Q: Which of the following equations is a match for the table shown below? 3 y 4 0 1 4 Oy = (z - 2)? Oy ...

A: The equation given in option (i) is ;                    y = x - 22  .................. (I) Now,  we...

Q: solve (a) part

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Q: Given the following simultaneous equations: 5x1 + -5.7x2 + -1.2x3 + 2.3x4 + 9xs + 0.1 = 0 5.4x1 + 2....

A: For better understanding, we take a, b, c, d and e at place of x1, x2, x3, x4 and x5.

Q: Prove that there does does not exist a unique positive real number, x, with the property that x squa...

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Q: The sum of an integer and 4 less than that integer is even.

A: If an integer is divisible by 2 then it is even.

Q: Is 66 a square mod 127? Is 80 a square mod 127?

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Q: Sarah has an average of 94 on her 5 science quizzes. If her teacher drops her lowest grade of 81, wh...

A: It is given that ; The average marks of Sarah on 5 sciences quizzes  = 94 And if  teacher drops her ...

Q: Find the volume of the solid that lies under the plane 4x + 6y - 2z + 19 = 0 and above the rectangle...

A: To find volume set up triple integral ∬∫

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

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Q: 1. Suppose T : R² → R³ is a linear transformation defined by -3] |- (F). {H H} (). T -3 T 6. 9 Find ...

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Q: Use the Gauss-Jordan technique to solve 3x1 – 0.1x2 – 0.2x3 = 7.85 0.1x1 + 7x2 – 0.3x3 = -19.3 0.3x1...

A: we have given the linear system of equation 3x1-0.1x2-0.2x3=7.850.1x1+7x2-0.3x3=-19.30.3x1-0.2x2+10x...

Q: Solve simultaneous equation dx/dt=5x-9y , dy/dt=2x-y , x=3 , y=2

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Q: A line passes through the two points given in the table. Find another point that lies on the line. y...

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Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 4 -6 -5 -4 -3 -2 -2- -4 -5- -6+ Find th...

A: Questions from algebra of limit.

Q: Determine the limit: 0.3 x 3 lim X- 00 Submit Answer Tries 0/8 Determine the limit: lim (1+4 x)1/x X...

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Q: The table below shows the six basic solutions to the following e-system. The nonbasic variable(s) in...

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Q: Show that F(x, y) = x² + 3y is not uniformly continuous on the whole plane.

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Q: Find the z-coordinate(s) of the inflexion point(s) of the graph of f(z) = 2z-3z2 +1 - 1. %3D

A: It is given that,               fx = 2x4-3x2+x-1  .................(I) We have to find the inflexion...