----j n(x, y) = x² + 3xy – 6y has a critical point at (2,- Use the second derivative test to describe what happens at that critical point. (a) h has a local maximum at (2, (b) h has a local minimum at (2, (c) h has a saddle point at (2, (d) The second derivative test is inconclusive for h at 2, –.

Q: Evaluate the following permutations by hand Find the number of permutations of 6 objects taken 2 at ...

A:

Q: Prove that if H is a normal subgroup of G of prime index p then for all K < G either (1) K < H or (i...

A:

Q: Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the formula. ...

A: Solution:   This is an equivalence relation since:A U Y = A U YA U Y = B U Y implies that B U Y = A ...

Q: C(4) А(3) F(5) D(2) H(2) B(5) "G(6) 3 E(3) The diagram above is the activity network relating to a b...

A: A network diagram is used to schedule the activities in a project. It describes the precedence relat...

Q: A software company uses two quality assurance (QA) checkers X and Y to check an application for bugs...

A: If A and B are independent events then PA∩B=PAPB

Q: Find the limit of the function f(x) = x²esin(1/x) as x approaches to zero.

A: To find limit of function f(x)=x2esin(1/x) as x approaches to 0. (Using Squeeze theorem)

Q: 2.) Edwin is three times as old as his brother, Four years ago, Edwin's age was two more than five t...

A: There are four polya's steps in problem solving 

Q: ii) Obtain the Fourier series of the function g defined by g(x) = | f(t)dt, justifying your method b...

A:

Q: Using truth tables examine whether the following statement patterns are tautology, contradiction or ...

A:

Q: Solve the sifferential equation using Ace Laplace transforms- y-3y'+2y=1-4X+2X y(0)=4, y'0)= 5-

A:

Q: 1) Let a function f: [-1,1] -> Real Number be defined by f(x) = {[-1 if -1 </ x < 0]; [0 if x=0]; [...

A: As multiple questions were posted and it was not mentioned that which question to be solved, I solve...

Q: Q6) Using the Newton's forward difference interpolation formula evaluate f (2.05) where f (x) = x, u...

A: The value of table for x and y x 2 2.1 2.2 2.3 2.4 y 1.414214 1.449138 1.48324 1.516575 1.54919...

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2...

A: The given problem is to solve the given linear programming problem with given constraints  using the...

Q: Suppose three events namely A1, A2, and A3. Show that P(A, U A, U A, ) = P(A,)+ P(A,)+ P(A,) iff P(A...

A:

Q: X + 5y + 15 z+35 w + 70t = 0 X + y + z + w +t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20w + 30...

A: We solve the given system of equations by using Gauss Jordan elimination method.

Q: (Multiple) Given Expression g suppose that x = 2 and y = 5. Define these variables in MATLAB and eva...

A: Given g = yx3x-y

Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" + ...

A: The given problem is to find the Laplace function Y(s) for the given initial value problem with give...

Q: (c) If F(x) = San x Jesa dt find F'(x).

A:

Q: 4) Sketch the graph of r = 3 + 15 sin 60 and find the area that it encloses.

A: The given problem is to find the area enclosed by given parametric curve. Given curve r=3+15sin(6θ).

Q: Solve the following: (Show all details) 1. Let matrices be [3 0 4] A = |-1 2 2 5 4] [o 2] C = 2 4 li...

A: It is given that ; A = 304-122654  ,    B = 0-5-3-524-340  ,     C = 022413  ,  D = 61-47-83 u = 20-...

Q: Find the length of the curve in the picture given in polar form.

A:

Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: Which of the following correctly sets up the integral of f(x, y) over the triangular region whose co...

A:

Q: Compute for a real root of sin√(x) -x = 0 using the fixed point method with x0=0.50 until absolute e...

A:

Q: On a certain island, at any given time, there are R hundred rats and S hundred snakes. Their populat...

A: We are given with this relation: R-162+16S-202=68 where R is no. of rats, S is no. of Snakes on a ce...

Q: ands 1. Let m*(A) = 0. Prove that for every B, m" (BUA) = m" (B). %3D %3D

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Let V=R2[x] be the real vactor space of polynomials of degree most 2. B={f0 ,f1 ,f2 } where f0(x)=1,...

A: The quadratic approximation of a function f at x0 is: f(x0)+f'(x0)(x-x0)+f''(x0)(x-x0)22 = Q(x)

Q: 2. An automobile travelingat the rate of 20m/s is approaching an intersection Whenthe automobile is ...

A:

Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2 s...

A:

Q: 1?+3 v (1) =: 4/ 5t +8 5<t< I5 Where t is in seconds and v is in m/s. Using Simpson 1/3 Rule using h...

A: Here the given function is                                     vt=t2+3;     1≤t≤545t+8 ;   5&lt;t≤15...

Q: 2. (aibic) is He pt. on te plane 2x ty-32=5that is cioust to the pornt P(i,ll). Then atbre = all b)2...

A:

Q: While calculating correlation coefficient between two variables x and y from 25 pairs of observation...

A: The formula to calculate the correlation coefficient is given by r=n(∑xy)-(∑x)(∑y)[n(∑x2)-(∑x)2][n(∑...

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [.e., B = (0,0, b) ] (a...

A:

Q: I find the Laplaa Transform ) f4): e" (3t*+ 1) - 5 sin at 5 sin 3t

A:

Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

A:

Q: 1. Let X = {1, 2, 3, 4, 5} and Y = {3, 4}. We define the relation R on the set P (X) by the rule (AR...

A: 1. Given is a set and a relation R. First we prove that the relation is an equivalence relation and ...

Q: The velocity v(km/min) of a moped which starts from rest, is given at fixed intervals of time t (min...

A: if s (km ) be the distance covered in time t(min ) then  ds/dt =v  estimate approximately the distan...

Q: Identify the vertical asymptotes, horizontal asymptote, and zeros (roots) of the function graphed be...

A:

Q: Find the volume of the solid inside the sphere x2 +y2 + z2 = z and the planes z = 0 and y + z = 1. S...

A: First, we will be sketching the solid inside the sphere x2+y2+z2=z, the planes z=0, and y+z=1. Now,...

Q: 5. Use induction to prove that for every n E N we have E(k · k!) = (n + 1)! – 1 k=1

A: We want to prove ∑k=1n(k·k!) = (n+1)! - 1

Q: 7. jika z + 0 (0, jika z = 0. f(z) = Show that: a. Function f continuous for C b. f'(0) is NOT EXIST

A:

Q: Use Adamss's method of apportionment to solve the following problem. 1. Suppose a nation has 6 state...

A: To assign the number of representatives to each state by Adams's method, use the following formulae....

Q: f(t) = 4t – 5 %3D L{f(t)} = %3D

A:

Q: Find the coordinate vector of v (2, - 1, 3) with respect to S = {v,, v, v} where v, = (1, 0, 0), v, ...

A: According to our guideline we can answer only one question and rest can be reposted.

Q: Suppose P(n) is a variable proposition. For each of the following pairs of assumptions, determine th...

A:

Q: Summarized on the right is the number of visitors (in millions) of the top five websites in 2015. Us...

A: First we find total number of visitors and then we divide D by the this sum. 

Q: 2. Q is a n x n symmetric matrix, b is a vector of size n and e is a scalar. If f(x) =x"Qx + b"x + c...

A:

Q: Produce the linear minimax approximation to f(x) = ln (x) on [1,2). Graph the error, and compare it ...

A: Given function f(x)=lnx We have to graph the function on the interval [1,2] and compare it with the ...

Q: There is an ant on a circular heated plate. The plate temperature is given by f(x, y) = y² – x² + 12...

A: Consider the function fx,y=y2-x2+12, with equality constraint x2+y2=121 (since the radius is given t...

Q: 4 Find the area of this composite shape. 11 cm 3 cm 16 cm 5 cm 4 cm 7 cm 4 cm 4 cm

A: The area of the rectangle is  area=Length x Breadth The area of triangle is  area=12x Base x Height