Give an example of a function f: -1, 1] → R that is not continuous at 0. Then find an explicit sequence (₂) such that în → 0 and such that ƒ(ïn) does not [6] converge.

Q: Because N=26•34•53•76•175and can be written as (2•3•5•7•17)•25•33•52•75•174.   B. Because…

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Q: Find the inverse Laplace transform f(t) of the following: a. F(s) = b. F(s)= C. F(s) = 15s -2xs ²+25…

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Q: - Find a basis for S for the subspace S. 3 5-0 S=span 1 2

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Q: Prove that if two rectors are linearly dependent, one of them is a scalar mulitple of the other

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Q: # -6 5. Find the orthogonal projection of b = (1,-1,2) onto the left null space of the matrix A =

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 3…

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Q: Use the substitution y=x to find general x³y''(x) +8x²y''(x) + 11xy'(x) = 0 v(x) =

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Q: 968 CHAPTER 14 Partial Derivatives A MON 4. f(x, y) = 3x -x³-2y² + y4 5-20 Find the local maximum…

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Q: 1. Let F(r, 0, 0) = r sin cos o r sin sin o r cos 0 for r≥ 0, 0 = [0, π) and = [0, 27). Compute det…

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Q: 2. Solve a²ua²u 8x² ?х მy2 u(0, y) = 1, u(x,0) = 0, = 0, 0<x< un, y) = 1, u(x, n) = 1, , 0<y<n,…

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Q: se the partial fractions method to express the function as a power series (centered at x = 0) and…

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function f(x) = (1/6)x…

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Q: Solve the following equation (1 − x²)y" + 2( (x² − x − 1)y' + - (-x² + 2x + 7-1₁-²2) y = 0

A: Given: The differential equation 1-x2 y''+2 x2-x-1 y'+-x2+2x+7-11-x2 y=0 To find the general…

Q: find the real solutions, if any, of the system.  y=x2  x2+y2=12

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Q: why here f(x)=e^(x^2), support to be f(x)=e^(-1/(x^2))

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Q: A = 1/³2 32 a. b. C. d. 31 Consider matrices A, B, and C. Compute the following: c = 1/2 = 2521 [4 B…

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Q: (b) u Use the Fourier Transform to find general solution formula for - 4u" +4u = g(x)

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Q: of find the fixed point and classify 2 x= x y=-x their Stability with draw

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Q: Using the graph below, estimate the magnitude of the error in approximating sin x by x for -1.3 ≤ x…

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Q: Please finish the entire question

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Q: Consider the problem with initial values y' = (x + y -1)2, y(0) = 2. Use the improved Euler's method…

A: Given, the problem with initial values y' = (x + y -1)2, y(0) = 2. We have to Use the improved…

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 76°C, it…

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Q: If/ is a function on (-4, 4) having exactly tre critical points and the sign of f'. f" are 0 012…

A: Given Information: The critical points of the function are -2,0,2.  f'x&lt;0 in the interval…

Q: solve the equation using initial value and final value laplace theorem V(s) : = 100 (s + 3)…

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Q: Find the approximations To Mr and S, for n = 6 and 12. Then compute the corresponding errors ET, EM,…

A: ∫1423xdx=23·∫141xdx=232x1214=232x14=23· 2=46 Thus, the exact integral value is 46.   Let us…

Q: 3. ( } Perform row operations to find a basis of the column space of the following matrix A, and…

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Q: Determine if the vector u is in the subspace S¹. (S¹ = {u € R¹|s € S, u · s = 0}) [31 S =span 3 4 2…

A: Introduction: The orthogonal complement is the set of all vectors whose dot product with any vector…

Q: Which fairness criterion is always satisfied by the plurality with elimination method?…

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Q: Consider L: R2 R2 given by → 2x1 L + (+₁) = (₁²+1₂). X2 x2, Consider the two bases S = [e₁,e2] and F…

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Q: To solve a maximization problem using the simplex method, which of the following statement is…

A: We know for simplex method: 1. All constraints must be in less than or equal to inequality. 2. The…

Q: Given the eigenvalues: λ = -5 and -2, find an invertible matrix P and a diagonal matrix Q for the…

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Q: Determine the approximate area of the puddle (colored white). to solve. 32 in 36 in 4

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Q: Find the Laplace transform of rt f(t):= Jo ег e" sin (tv) dv

A: Let L{f(t)}=F(s) and L{g(t))}=G(s) , then L{f*g}=F(s)G(s) .  Where f*g=∫0tf(v)g(t-v)dv .…

Q: 1. Use the Alternating Series Estimation Theorem to find the minimum number of terms of the infinite…

A: Alternating series estimation theorem :             If  ∑-1nan is a convergent alternating series…

Q: Problem #2: Consider the following vectors, which you can copy and paste directly into Matlab. x =…

A: Given: x = [4 2 5 4 2 1 4 4 51]; y= [2 3 5 2 5 2 3 61];

Q: For z=6xy and P(-1,1,6) find a. An equation of the tangent plane to the surface at P b. A set of…

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Q: In this exercise we consider finding the power series solution of the second order linear initial…

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Q: Let S be a subspace. Prove that S ns¹: = {0}.

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Q: Compare between thes solution of th PDE ux-3u=0; yx-3y=0; y = y(x) @prove the integral ferms of as…

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Q: Find, if possible, AB and BA. (If not possible, enter IMPOSSIBLE in any single cell.) -1 A = 2 1 -2…

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Q: 2 Find the best straight-line fit (least squares) to the measurements b=4 at t= -2, b=3 at t = -1,…

A: Let  b=r t+s be the least square straight line fit for given data then we have…

Q: How about the converse

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Q: Jsing the following methods, determine the real roots of f(x)=2x³-11.1x² -26.75x+70.6 1. a)…

A: Note: As per the guidelines, I am only solving the first question with all its subparts. Kindly…

Q: 1. Use the method of homogenous equations to solve the following differential equation (x² + 3y²)dx…

A: In the given differential equation,  (x2 + 3y2 ) dx -2xydy=0  with y(2) =6. we can solve it by…

Q: a. Justify 26 (135.1000). Choose the correct answer below. O A. 135.1000=(13.2) 134.500 OB. 135.1000…

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Q: 1. What is the center of the given power series? (This is what the book calls “a”.) 2. Determine the…

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Q: An exercise physiologist wants to determine how speed on an exercise bike affects heart rate. The…

A: The given data, Speed(mph) 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 Pulse(bpm) 59 63 70 74 78 82 86…

Q: Formulate this as a deterministic operations research dynamic programming problem. A company must…

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Q: X 4 10 Let f(x) = sin(₁ ) and g(2) = -21-2 (2-1) 2 3 Let R and S be the two regions enclosed by the…

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Q: Covers chapter 8 section 8.3! Be sure to show and explain your reasoning for each part. 21. Use the…

A: Since you have posted a multiple question according to guildlines I will solve first(a) question for…