3.(1) List all the partitions of the set S = {1, 2, 3, 4}. (2) From (1), determine how many different equivalence relations are there on S.

Q: You are 50 feet from the screen at a drive-in movie. Your eyes are 3.5 feet above the ground and 50…

A:

Q: 5) An ice cream shop has 10 flavours of ice cream and 7 toppings. Their megasundae consists of your…

A:

Q: Consider the ordered bases & = {1, t, t²} and B = {1, t − 1, t² − 2t +1} in P2, the vector space of…

A:

Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V₂ in…

A: The given points A,B,C,D generated by the vectors v1,v2∈ℝ2 are shown as follows: Parallelogram law…

Q: Let P = (42+42²) + (7y + 5z +5 sin(y)) 3+ (4z + 5y + 7e) k (a) Find curl F. curl F = (b) What does…

A:

Q: Find the condition on a and b for ² 1² two distinct chords of the hyperbola 2a² 26² through (a, b)…

A: Let the line x+y=b bisects the chord at point P(α, b-α).Therefore , the equation of the chord whose…

Q: At 2:00 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03…

A: Temperature is defined as the physical quantity that is used to express quantitatively the…

Q: is less than The following numbers are given in ternary form. Find the real number that each…

A: Introduction: In mathematics, a ternary form is a homogeneous polynomial of degree three in three…

Q: 2. (a) If F(x) = f(x)g(x), where f and g have derivatives of all orders, show that F" =…

A:

Q: Draw a Mikhailov's plot of the following G(s) and examine the stability. 1 s³ +0.2s² + s +1 G(s): =

A: As per the question we are given a transfer function G(s) of a system and we have to determine the…

Q: Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to…

A: Given: Real-valued sequences are, (b) Sn=n+3·(-1)n3n-1 (c) Sn=(-2)n·n-12n·n2-2n+1   Real-valued…

Q: The point on a circle nearest to the point P(2, 1) is at a distance of 4 units and e farthest point…

A: (a)Since we have P(2,1)  and B(6,5)  , let a point between P and B , say A(h,k)…

Q: Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p…

A:

Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

A:

Q: 5 determine which of the following functions are entire. Justify your answer: cos 1214 v) Imz

A:

Q: Determine the Maclaurin series of ?(?). b) Use the ratio criterion to determine the region of…

A: Maclaurin Series:  Maclaurin series of function f(x) is a Taylor series of function f(x) at x=0.…

Q: Topology:Q13 or 14 For each of the following, if the statement about a topological space is always…

A: Solution (13):-" the interior of the closure of a set equal to the interior of that set"    The…

Q: 1) Use the limit definition of derivative f'(a) = lim h→0 f(a+h)-f(a) h X to find the equation of…

A:

Q: (4) Determine the RCF of the following matrix A € M₁(Q): 1 20 1 1 00-1 0 02 -1 0 0 A 0 1

A: Given: A=1201100-10020-1001,  A∈M4(Q)

Q: m) 3 Let fex,y)= 9x²³+ y². Sketch the followi 2 9 The level curves of f of values (= 0,1,0. b. The…

A: Given function is fx,y=9x2+y2. (b) To draw the sections of the graphs of f in the planes x=-1, x=0,…

Q: make k the subject of the formula 6k = 9k/4t + 11t

A:

Q: Given points M and N, RMN = .  If M is located at (36, -44, 31), then N is located at

A:

Q: Consider the ordered bases & = {1, t, t²} and B = {1,t— 1,t² — 2t+1} in P2, the vector space of…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…

Q: 7. Find the area of the triangle with vertices A(-4,1,3) and B(1,0,3), and C(1,3,4).

A: The vertices of triangle ABC are given as A(-4,1,3),B(1,0,3) and C(1,3,4).

Q: Given the multistep method. 3 Yi+1 = Y₁ + 3Y₁-1 determine if this method is unstable, weakly stable…

A: It is given that Yi+1=-32Yi+3Yi-1-12Yi-2+3hfti,Yi for i=2,3,⋯,N-1. The objective is to determine if…

Q: ^2

A: Since given surface is  x2=y2+z2                        f(x,y,z)=0that is ,   x2-y2-4z2=0⟹…

Q: 4. Write system/ 2, 3, 4. Sum the four equations to derive a simple equation for system. out in full…

A:

Q: .If you deposit 6000RS into an account paying 6.5% annual interest compounded quarterly,  how long…

A: we need to find time when there is Rs12600 in the account

Q: 6. Find the remainder when 15 + 25 +35+. +985 +995 + 1005 is divided by 4. ***

A:

Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A: Graph of the functions f and g are given and define ux=fgx, vx=gfx, wx=ggx. We have to find the…

Q: Consider a <= cosa. (a) Find all critical points. (b) Draw the phase diagram. (c) Identify stable…

A:

Q: For the following exercise, write an equation for the graphed function by using transformations of…

A:

Q: Alt X 6. Find the distance of the point P = (2,3,-1) to the plane 2x - 3y + z = 1.

A:

Q: b) Compute Re fli) when: $(2) = √2-₁² and f(0) = -i

A:

Q: 6. Draw the space curve given by r(t) = (t cost, t², -t sin t) for t≥ 0.

A: The given curve rt=t cos t, t2, -t sint for t≥0. We have to sketch its curve.

Q: Graph the equation and identify the x- and y- intercepts.  x+5y=5 write each intercept as an…

A:

Q: Solve for the orthogonal trajectories. x² (3k-x) - ky² = xy² 2 хуч

A:

Q: MacBook Air Kiln 1: Kiln 2: Kiln 3 ation 2. The Brighton Brick Company (BBC) makes two different…

A:

Q: (a) Determine the Prüfer code of the following tree. 2 4 3 5 6 1 7 8 (b) Draw the trees with Prüfer…

A: One can generate a labeled tree's Prüfer sequence by iteratively removing vertices from the tree…

Q: c) Which of the following functions are analytic in 121² 2 2: 42²26649 (ii) Z²-1 Z-√√Z²74

A:

Q: 1. Show that if (a, b) is a cointegrating vector for the I(1) variables Y, and X,, then a(a,b) is…

A: We need to show that if a, b is a cointegrating vector for the I1 variables Yt and Xt, then αa, b is…

Q: In this question, you will work step-by-step through an optimization problem. Many airlines…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: (d) Find the E-matrix of the linear transformation T: P₂ → P2, T(p(t)) = p'(t) + 2p(t).

A:

Q: Let be a sequence of functions belonging to L P-space. If this seque is n onvergent, then it is a…

A: Sol:- The statement is true.

Q: Consider the function f(x, y) = (e - 3x) cos(y). Suppose S is the surface z = f(x, y). (a) Find a…

A:

Q: If a function f : R” → R is differentiable at Xo, prove that ƒ is continuous there. Let ƒ : R" → R.…

A: Given the function f:ℝn→ℝ is differentiable at X0. To prove f is continuous. Given f:ℝn→ℝ and there…

Q: Find the linearization at x = a. 1 f(x) == ₁² a = 7 x4 (Express numbers in exact form. Use symbolic…

A: Linear approximation at x=a

Q: ) Let u be a function of R² such that ди ди (x, y) | Әх = en prove that ду (x, y); for all (x, y) ∈…

A: (a)Since given partial differential equation is               ux=uy⟹      ux-uy=0Auxillary equation…

Q: Find the equation of the straight line that (a).makes equal intercepts on the axes and passes…

A:

Q: 1) Use the limit definition of derivative f'(a) = lim h→0 f(a+h)-f(a) h

A: