The number of workers permissible to be carried are 5 and the average weight of the workers is 80kg. The weight of the tools and equipments carried by these workers are 20kgs in total. Find the maximum load that can be carried in EWP?

Q: Say whether the following is true or false and support your answer by a proof.…

A:

Q: 1. Let n be a positive integer and a, 6 € Z. Show that ab € Z. In other words, show that ZX is…

A:

Q: Solve for the values of a, b, c, & d in the following System of Linear Equations using Gaussian…

A:

Q: If a and b are real numbers such that a > b , find the solution set of x-a/b-x≤0

A: Given, a and b are real numbers such that a>b . We have to figure out the region of values of x…

Q: Find the general solution to the DE (x+m) dy =(nx - py) dx where m, n, and p are constants. Express…

A: The given differential equation is:                                    x+mdy=nx-pydx…

Q: Assuming this is a right-sided signal, please determine the inverse Z transform. x(z) = 22-1 -2…

A: The Z- transform is given as:                                       xz=2z-13z-2-2z-1+1 Inverse…

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A:

Q: 4 20 785 123 Get det [AB] and det [(1²¹) TB] T A 4 12 13 B = 358 217 =

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: We have to find the volume of rotation when region bounded by  y=x281,x=6,y=0is rotated about y…

Q: Min 2= 2x, t SX ₂. subject to: 2x1 + x₂4 25 2x,. 420 - X₁ + 10x₂ ≥20 5X₁ + 3x₂ > 15 X₂ ≤ 15 X₁20 x…

A: To Solve: The following optimization problem: Min z=2x1+5x2. Sub to…

Q: Substitute y = ex into the given DE to determine all values of constant r for which y = ex is a…

A:

Q: Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each tractor and…

A: Solution: Formulate a linear programming model for this problem. Use the graphical method to solve…

Q: A salt solution enters a mixing tank at 4 gal/min and exits the tank at 2 gal/min. Due to problems…

A:

Q: (c) y" + 4y' + 13y = 6cos3x − 8sin3x, y(0) = 0, y'(0) = 0 3.5 Applications of Des

A:

Q: Find the kernel and range of each of the followinglinear operators on P3: L (p(x)) = p(0)x + p(1)

A: We know that Pn is the vector space of all the polynomials of degree less than or equal to n. This…

Q: dy dx True False 2 __? cosx+y? + −y= -x² COS .y² X - is a Bernoulli Equation.

A:

Q: Question 1. Consider the points P such that the distance from P to A(2, −5, 0) is twice the distance…

A:

Q: In a year tracking a population of widowbirds, you recorded that 150 individuals were born, 75 birds…

A:

Q: An ordering function is a function f:Z→Z which takes the set of integers, and maps them to another…

A: Given: A recursive definition to define the set of all possible ordering functions is as follows:…

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A:

Q: 1. Let 3 be the permutation α, β € Σ3 such that Here a² = aa. group of {1,2,3}. Find two…

A:

Q: Let CE Rxn be a matrix such that xCx > 0 for all nonzero vectors & Prove that for k= 1,...,n, the…

A: Given : xTCx > 0 , C∈ℝn×n , Ck  is nonsingular . To Prove : yTCky > 0 , y∈ℝk

Q: Give an example to show that the mapping a -> ap need not be anautomorphism for arbitrary fields…

A: Let Zpx be the field of quotients of Zpx. So, we need to show that ϕ:α→αp is not surjective and so…

Q: Consider the differential equation (DE) 5 j=4 xj+¹y(²j) + πx² (y(7))¹² + xy" + y' = cos(2x). a) Its…

A:

Q: In Z3[x], show that the distinct polynomials x4 + x and x2 + xdeterminethe same function from Z3 to…

A: We know that ℤ3 is a field i.e., a commutative ring with unity in which every non-zero element has a…

Q: Consider the autonomous first-order differential equation dy y-y³, y(0) = yo dr Sketch the graph of…

A:

Q: A fractal pattern has the sequence {1, 7, 49, 343, …}. The explicit formula is _________.

A:

Q: For each of the following vector fields F, decide whether it conservative or not by computing curl…

A: As per policy, the first three subparts have been answered, please repost the question mentioning…

Q: If the Accumulated Value of an investment at time t is AV₁ = 1.2+.1t², what is & when t=2? A. .05 B.…

A:

Q: First solve the equation f(x) = 0 to find the critical points of the given autonomous differential…

A:

Q: Solution of the differential equation y cos²x dy dz - ytanx = -cos^zsin² z 2 +c y² cos²x = sinºz + c…

A:

Q: 7.2. A consumer has a utility function u(1, 2) = max{1, 2}. What is the consumer's demand function…

A: Here Given that u(X1,X2)=Max{X1,X2} Since Utility function is such that MUx=MUy=1 and thus demand of…

Q: Use the specified row transformation to change the matrix. Replace R₂ with 6R₁ + R₂. What is the…

A: Given matrix is 198−64−1270. We have to replace the row R2 with 6R1+R2. Now performing the row…

Q: (e2y - y cos xy) dx + (2x e²y - x cos xy + 2y)dy = 0 is an exact equation. True False

A:

Q: We are constructing a box from a piece of paper. The paper is a piece of “ledger-sized paper” which…

A: According to guidelines I'm allowed to answer only 3 sub-parts.  So please post other sub-parts as…

Q: Show steps and workings. (Review examples in the lesson notes in blackboard.) x²+x-6 x-2 f(x) == a)…

A:

Q: 6. Can any of the given sets of 3-vectors below span the 3-space? Why or why not? (a) [1 2 1] [231]…

A: We have to check whether the given set of 3-vectors span the 3 space. (a) 1 2 1, 2 3 1, 3 4 2 (b) 8…

Q: Solve the following system and use parametric equations to describe the solution set. x₁ + 2x₂ + 3x3…

A: The given system is  x1+2x2+3x3=112x1-x2+x3=23x1+x2+4x3=13 TASK: To Solve the system of equations.…

Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

A: The volume is found using disk method and washer method . Disk method : To find the volume of the…

Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = O -3n-m is Cmn = e

A: To show:  The general solution of ndm+mdn+mn(3dn+dm)=0 is cmn=e-3n-m

Q: For the following ODE, find the particular solution and show the steps of derivation, beginning with…

A: Using integrating factor 1/x^2

Q: Solve each of the following initial value problems: y'1= 2y1 − 6y3 y'2= y1 − 3y3 y'3= y2 − 2y3 y1(0)…

A: Given :  y1'=2y1-6y3y2'=y1-3y3y3'=y2-2y3     ,         y10=y20=y30=2 To Prove : Solve the initial…

Q: [y"+y=g(t) y(0)=0, y'(0)=2 ,whereg(t) = 3' 0st<9 3, 9st.

A:

Q: The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of…

A: Solution :  Given ,  The temperature of a chemical reaction oscilllates between a low of 40 degreesC…

Q: 12. Calculate i!. i=1

A:

Q: (3) As the salt KNO3 dissolves in methanol, the number r(t) of grams of the salt in a solution after…

A: (a) Consider the given differential equation, dxdt=0.8x-0.004x2 it is required to find the maximum…

Q: 7.5. A consumer has a direct utility function of the form U(x₁, x2) = u(x₁) + x₂. Good 1 is a…

A:

Q: A. Find the derivative of the following functions. Whenever possible, express answer in factored…

A: The given function, 4. y=x1+x5 5. y=x-1x2-2x+2 6. y=x-1x+1 We have to derivative of the given…

Q: 1. Give the domain of y=xin set builder notation. 2. If a and b are real numbers such that a <b,…

A: Given that 1. y=1x2-42.  x-ab-x≤0

Q: Use Variation of Parameters e2x 1+ e²x (D² - 3D + 2)y=

A: (1). Given,                  D2-3D+2y=e2x1+e2x.