3let X be a assertions ho ld. topalagical space, thom tollownys ö $ ad X elosed sets ii) The ioterseetion of m or Il eetibon of arbi. elosed sets in X s a elosed se't. ef osed se't. (a1) The Umiom of fimite colletnon seds smX io a elo-sed set.

Q: OUsing L'Hospital 'rule to find the limit of lim, **-4 x-2

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Q: (x-3)(x+3) Graph the rational function f(x) = Find all horizontal and vertical asymptotes and…

A: Given function is fx =x-3x+32x+1x-2x-5

Q: 3. The general form of a linear, homogeneous, second-order equation with constant coefficients is dy…

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Q: Let A be a 7x6 matrix such that Ax O has only the trivial solution. What is the rank of A? O A. 6 О…

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Q: Which is NOT the correct statement of a degree of a vertex? E F Figure 1 A) d(E) = 6 B) d(B) = 4 O…

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Q: Solve using a. Gaussian elimination and b. Gauss Jordan elimination methods 2x1 + 6x2 + x3 = 7 X1 +…

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Q: (1) = -e* sin (21 +n)

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Q: If A is an mxn matrix, then the row space of A is a subspace of: O A. Rmn B. R". O C. R". n-m

A: Given that A is an m×n  matrix, then the row space of A is a subspace of :

Q: 4x2 + 2. Let S be the surface with equation y = 9 (a) Write the equation of the traces of S on the…

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Q: Consider the following optimisation problem max f(r, y) = t/r y, subject to tx? + y 0, y > 0. a)…

A: Given: max fx,y=txysubject to x2+ty≤5x≥0,y≥0 To find: a) t=1 b) Envelope theorem c) Marginal effect…

Q: ion of the linear differential equatio ents, variation of parameters and red

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Q: Find the volume of the solid generated when the plane region bounded by: y = ex and the x-axis is…

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Q: Problem Five: Dorian makes luxury cars and jeeps for high-income men and women. It wishes to…

A: We need to form a lineat programming and solve it by using graphical method to get minimum cost

Q: +00 1 dx xln*(ex) 4 e

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Q: 5. (a) Solve the simultaneous equations: 4x + 2y = 20) 5x – 2y = 7 5 %3D (b) M = ) N= ) 2 М — -2.…

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Q: Consider the function g defined by gx, y) • car (7x Jy ) + r (I X Jj ) + cos logg(x-y)

A: Given function = g(x,y)=cosπxy+1log3x-y point= (4, 1) To find: What is the maximum directional…

Q: 1+ jw +j)? 1+ jw +j)2 -j) ?

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Q: 13.] Refer to the image below. The floor area of a COVID patient room is 72 square feet. If the…

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Q: Let S be the quadric with equation 36x2 – 4y² – 9z² – 36x = 0. (a) Classify the graph of S. (b)…

A: Quadric surface: It is a graph in the three dimensional space. There are six types of quadric…

Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: show that the following series converge. Using the comparison test (a) Ž JU) (b) E k2ik k4+1

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Q: Does there exist an 8 x 8 matrix A - (a) satisfying the following three conditions? (1) If i 2j then…

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Q: "COUNTING MADE REAL" (Performance Task) Situation 2 Grade 10 class with 40 There are 10 contestants…

A: To find for the given situation 1,2 & 3.

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A: Given the map of some cities. To construct a graph where the cities are represented by vertices and…

Q: 1 s'+5s 5.) 5 L' s² +4s+6 6.)

A: 5)   We have given that ,  Fs = 1s3 + 5s We need to find inverse Laplace of F(s). That is , ft =…

Q: 3. The square is dilated under the dilation (x, y) → (0.25x, 0.25y). 4 2- -2 2 -2 a. Graph the…

A: Dilation: It is a type of transformation in which the size of an image in a coordinate plane changes…

Q: Find the value of y, its determinant and Dz 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3z =19

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Q: 6. Find the value of x: 43 Ox=317 O x- 21.5 Ox- 86 Ox- 43

A: The angle made by two lines will always be the same at every points on the line from the point of…

Q: Let f(x) be defined on [0, 1] such that f(x) = min |x- n=D0, 1, 2,.... Find the area under fx)

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Q: t1, [ne*]dx. Find the minimum value of n for which [I] exceeds 2.

A: We have to solve given problems:

Q: -3)(x+3)" Graph the rational function f(x) = Find all horizontal and vertical asymptotes and…

A: Given rational function is fx=x-3x+32x+1x-2x-5

Q: ulie works no more than 40 hours per week during the school year. She is paid $16 an hour for…

A: The LPP is as follows maximize Z=16m+14t+12pm≥10m≤15p≥8p≤12m+t+p≤40m,t,p≥0 use the simplex to solve…

Q: 3- calculate SSm xe' dxdy -if the bounded set M is given by inequalities y <2 - x, y 2 x². -Draw the…

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Q: Question 2 [14 marks]. Show, using truth tables, that (a) ¬(p V q) ^r = -p^ (¬g Ar), (b) ¬ q V (q V…

A: We will construct the truth table to show  Logical equivalence in part (a) and tautology in part…

Q: •MMD1:ro AV% Then M is a basis for M2,3 O the above M3,2 O the above O None of the mentioned

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Q: 1.) s 10e-35 2.) s² +4 se 3.) s² +1

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Q: iii) a) Prove that Pa(-x) (-1)".Pn(x) u (2n)! 22 (n!) b) Prove that P2n(0) = (-1)".- %3D

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Q: B. How many different ways can the letters of each word be arranged? 5. MISSISSIPPI 4. PHILIPPINES…

A: This question related to permutation and combination topic.

Q: (ii) Minimize Z = yi + 2y2 Subject to: Зу1 + 4у2 > 5 2y1 + бу? 2 6 yi + y2 2 2 У1, У2 — 0.

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Q: ii. x² Inx dx L, x³ (e* – e¯*) dx

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you…

Q: Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x)…

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Q: Which of the following is true? 0. 1 0 O A. is a basis for M22. O B. is a basis for M22. 1 0. 0. 0.…

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Q: 1. Which of the following matrices is in reduced row echelon form? A. ⎛⎝⎜100010000⎞⎠⎟…

A: Option A is correct.

Q: III. Find the parametric equations of normal line to the surface given by f(x, y) = tan V x² + y² at…

A: Given : The equation of the given surface is,   f(x, y) = tanx2+y2 To find : We have to find the…

Q: 4) Consider the function g defined by ga, y) - cas (T x Jū ) + 77X logg(x-y) (c) in what dire ction…

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Q: ne solution to y"+ 6y' + 9y =0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d)…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at xo = 0. (In 2 z…

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Q: Find the area of the region R = (x, y) such that |x-1|-|y+1|<1 |x-1|+|y|<1

A: We will find all inequation eliminating modulus and the find common region bounded by both in…