3. Show that 1 > 0. 4. Show that if a > b and c < 0, then ac < bc.

Q: dy y (0) = 1 dx 1– 2xy2

A:

Q: You are given a technology matrix A and an external demand vector D. Find the corresponding…

A:

Q: Given the 3-dimensional vectors: A = (xy)i + (2yz)j +(3xz)k B = (yz)i + (2xz)j +(3xy)k Determine the…

A: Here given vectors as A=xyi+2yzj+3xzkB=yzi+2xzj+3xyk

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A:

Q: The Question Ronan is building an extension to his house to facilitate a social space and games…

A: The plane figure bounded by the union of three lines, which join three non-collinear points, is…

Q: B. Two coins are tossed and a ball is drawn from a bag containing a yellow and a red ball a. If L is…

A: two coins are tossed The ball is drawn from the Bag (R,Y)

Q: Let W=Fcw)+9(v) where u= Xtiy and V=X-iy, show that w Satis fies the Laplace egr Wxxt Wyy=o…

A:

Q: Consider the following coefficient matrix, which contains a parameter a. 9 4 4 x' 9. 4 Determine the…

A: If both the eigenvalues of the coefficient matrix has negative real parts, then origin will be…

Q: »A sphere of constant radius r passes through the origin O, and cuts the axes in A, B, C. Prove that…

A:

Q: Find a particular solution yp(x) to the equation y′′ + y′ − 2y = 5 sin x in the form yp(x) = c1…

A:

Q: b) Use the square points to graph y = g(x). on the grid.

A: Given: y=x2-2x-2 b) Use the square points to graph y=g(x) on the grid. d) Use the circular points to…

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used…

A: Given: Group 8) Total length of string 64 cm.

Q: x + 2, -2 < x < 0 2, Given: Let f (x) = 0<xs2 1. Sketch to what function you expect the Fourier…

A:

Q: In the recent "Asian War" in the South China Sea, the allied forces captured 6,400 of China's…

A:

Q: 5 e 2y sin (- 4x) - lim (х, у) >(0,0) (Type an integer or a simplified fraction.) %3D

A:

Q: dx V4-9x2 2.

A: Evaluation pf the indefinite integral by trignometric substitution

Q: f(x) =  x 8x2 + 1

A: See the following steps.

Q: 6 A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to maintain…

A:

Q: (a) Write down a set of parametric equations that describe the entire ellipse. Be sure to state the…

A: Consider the equation of an ellipse x2a2+y2b2=1, 0&lt;a&lt;b

Q: A manufacturer of hospital supplies has a uniform annual demand for 180,000 boxes of bandages. It…

A:

Q: . For n, m 20 and n # m, show S' T.(z)Tm(7). VI- -dr 0 This is called the orthogonality relation for…

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 8y? - 72x - 4 over the closed region…

A:

Q: 4. The function b(x) = . is shown with the solid graph. Which dotted %3D curve could represent t(x)=…

A: We have to draw a graph.

Q: O Prove, by induction, that 3" +4" < 5ª for all natural numbers n, greater than or equal to the…

A: (a) The given inequality is: 3n+4n&lt;5n Substitute n=1 into the inequality and check whether the…

Q: dw and at the point (w, x, y, z) = (22,1, – 1, – 2) if w =2x²y? +2yz- 2z° andx? +y² +z? = 6. Find…

A:

Q: Simplify using the Logical Equivalence Laws or Algebra of Propositions 24. S v ~(~P ^ ~Q) v ((P v…

A: Solution :       S v ~(~P ^ ~Q) v ((P v Q) ^ S)    ≡ S v (P v Q) v ((P v Q) ^ S) [DeMorgan's law]

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A:

Q: 3. Determine the fourier series that represents the function as follows; T = 8, A, = 0 (Symmetrical)…

A: Given T=8, A0=0Yt=-1-4 to 0Yt=10 to 4

Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

A:

Q: Given a line segment with starting point as (0, 0) and ending point as (4, 4). Apply 45 degree…

A: Solution 1: Given old coordinates are xold, yold=4, 4 and angle of rotation is θ=45° Let the new…

Q: True or False. Justify your answer. Since we have sin(a+y)= sin(z) + sin(y), the function sin(r) is…

A:

Q: Find Df and Duf to:- XZ on the point (,,1) inthe direction of V = 2i -3j+6 K. %3D soLiin ansi- lo

A: Directional derivative of the function.

Q: The following problem represents a dual maximization problem:  Max Z = 2y1 + 3y2 subject to…

A:

Q: Write the Sample space, outcome or event of the ff: 1. A couple has 4 children. If 2 of their…

A:

Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

A: .

Q: A rain gutter is being installed on a home that has the dimensions shown in the figure below. At a…

A: Here given that a=9, b=12, c=17 and d=30 Here we imagine two rectangles of side a , d and (c-a) , b…

Q: Solve the system graphica x+ys5 x+2y s 8 X20 y20

A:

Q: Betermine if the sets of vectors are linearly independent or dependent. Justify your answer. You may…

A: We Know that,

Q: Question 1*. Prove, using mathematical induction, that n(3n 1) - 1 + 4 + 7 + ·.. + (3n – 5) + (3n –…

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

Q: Use the given transformation to evaluate the integral. + v), y = v - 3u) (16x + 16y) dA, where R is…

A:

Q: Question 5 For any r E R, prove that there exists q E Z such that q – 1 < x < q.

A: For any x∈ℝ, we have to prove that there exists q∈ℤ such that q-1≤x&lt;q.

Q: Consider a function f(t). It is known that it satisfies the following conditions: f"(t) = f(t), f(1)…

A: Solution

Q: 12. f(x) = 4 – x

A: For the solution of the problem follow the next steps.

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the curves y = x² and x =…

A:

Q: For z=1+i find the ratio 7 of z and its complex conjugate z/z

A:

Q: = e* +cos x+-sinx+- 21 +x" Find general solution

A: we have to find the general solution of given differential equations

Q: 1. Three factories produce printers to supply the market. Factory A produces 25% of printers are…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If you are a fire-eater, then you work in the circus. If you don’t like cotton candy, then you don’t…

A: Solution:     Let us define the logical symbols          f = fire-eater          c = work in circus…

Q: a plane takes 1 hour to travel 450 miles with the wind it can travel 350 miles against the window in…

A:

Q: Question 2 s] Let y = f(x) be the solution to the initial-value problem dy -3z + 2y dz with the…

A: