A board of directors is made up of 5 to 15 people, with fewer men than a third of the number of women. Knowing that x is the number of men sitting on this board of directors and y, the number of women, translate this situation into a system of inequalities.

Q: I e-32² (y2 +3) dy 7. Which of the following is the particular solution of the differential equation…

A:

Q: Q2.) Determine if f(x) is convex, concave, or none of these also state if it attains a max. or a…

A:

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² −…

A: When a curve  described by the function x=g(y), a≤y≤b  rotated about the y−axis, Then the area of…

Q: dC₁ = -k₁C₁ + k₂C₂ dt dCB dt B = k₁C₁-k₂C₁ Solve this ODE-IVP system in Excel up to 2 min with a…

A: We are given the following information.           k1=1 min-1k2=0.5 min-1CA0=1  (gmol/L)CB0=0…

Q: 1) You wish to minimize f(x)=10x1²-x2² If you use steepest descent starting at (1, 1), will you…

A: As per the question we are given an unconstrained optimization problem as : minimize : f(x) = 10x12…

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky + k² = 0 and…

A: Consider the given curves, x2-2kx-4ky+k2=0y=x2-2kx+k24k and, 4x-4y+k=0y=4x+k4 the area bounded by…

Q: Infinite ransforms: 21. If Fourier transform of f(x) is F(o), prove that the Fourier transform of…

A: Fourier transform of the function

Q: Explain how to get y=kx+b from y=x, and how to get y=ax^{2}+bx+c from y=x^{2}

A: Transformation of the function  f(x)+b shift b units upward f(x)-b shift b units downward…

Q: A group of 300 incoming grade 7 students were given questionnaires to find out who like online…

A:

Q: 6. Which of the following is NOT an improper integral? ∞e-3r A. · S -dx 5 2x 5² x²-4 O A OB O C OD…

A:

Q: out a calculator?

A: To find the tan inverse of 3/2 and larger than 1 as,

Q: S S SVET Evaluate the iterated integral Hint: It maybe be easier to use spherical coordinates.…

A:

Q: A company distributes its products from four source to four retails stores. The supply capacities of…

A: According to guidelines we can solve only one problem.

Q: Use modular arithmetic to determine the following:  Disregarding a.m or p.m., if it is now 9…

A:

Q: 12. Consider the arc L: y = 1+ cos z from (0,2) to (.1). Which of the following integrals give the…

A: Given arc  y=1+cosx From x=0 to x=π2

Q: Determine whether the differential equation is exact. If it is exact, find the solution. (8x² − 2xy…

A: Comparing the given differential equation with the general differential equation Mdx+Ndy=0 we get,…

Q: Find the volume of the solid generated by revolving the - area bounded by x² − 2kx − 3ky + k² = 0…

A: The given curves are  x2-2kx-3ky+k2=0                 …13x-3y+k=0                 …2 The given line…

Q: The diagram shows a scale model of a garage. Its width is 7 cm, its length 12 cm and the height of…

A:

Q: Find the formula for the summation of the first n terms of the sequence -38, -45, -52, -59, -66…

A:

Q: 2. T Let n be a positive integer. Use mathematical induction to show that 1+8+27+ + n²³: .... =

A:

Q: True or False?

A:

Q: Find 2=-{m/? L In transformation. s²-1 S+ 2)² by using the properties of inverse Laplace

A: Use the following formulae, to obtain the solution.…

Q: 12. Consider the arc L : y = 1 + cos z from (0, 2) to (,1). Which of the following integrals give…

A:

Q: Solve the following x³-x²-√2x limx→2²-11x+18

A:

Q: Double Integrals In each problems a) sketch the domain F over which the integration is performed;…

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² +…

A: Solution:   Given data, x2+y2-6ax=0x+y=6a we have to find centroid of solid formed by above equation…

Q: Let a and b be natural numbers and define d = gcd(a, b). Prove that alb iff d = a. For all sets A,…

A:

Q: Find a power series representation for the function X f(x) = 9+x² and determine the radius of…

A:

Q: 31. Solve the initial value problem y' = 2y² + xy², y(0) = 1 and determine where the solution…

A:

Q: Use the Cylindrical co-ordinate system to find the area of the curved surface of a right circular…

A: We have to find the area of the curved surface of a right circular cylinder where r=20 m, h=5 m and…

Q: In each of Problems 19 through 22, The given differential equation Descr

A: Given,           y'=-y3-ty

Q: 2. Let A = [1000] 1 1 00 01 1 0 001 1 Answer the following questions. a) Do the columns of A span…

A:

Q: 3. Setup costs involves: a. costs of staff posted for ordering of goods b. expenses incurred on…

A: Set up cost is define as the cost which incurred to configure a machine for a production run. Setup…

Q: For items 8, 9, and 10, consider the region bounded by y = e+1, y = 1, and y-axis. 15 10. Using the…

A:

Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

A:

Q: Determine y(t) y" - 2y' + y = 4e-t + 2et, where y(0) = -1, y'(0) = 2

A:

Q: Miles between Adjusted Towns Town C D E Destination Origin 50 A - 70 B 20 55 40 C 50 D 10 60 E 80 i)…

A: The given table represents the distance in miles considering the origin, A, B, C, D, E and…

Q: The calculated experimental values for the heat capacity of ammonia are: T(C) Cp (cal/g.mol C) 0…

A: ANSWER 1: As Cp = aT3 + bT2 + cT + d   .......(1) So, at T = 0, Cp = 8.371 cal/g.mol C So, 8.371 = 0…

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A: Given information 1.   The domain of f(x) is  -∞,  ∞ 2.  f'x = 5x2 x2 -3 3. f''x = 10 x 2x2 -3 4.…

Q: Q2- By using Chain Rule, find au/ax, du/dy, du/az at (x, y, z)=(√√3, 2, 1) u= p-q 9-r' p = x+y+z…

A:

Q: Let f: G H be a group homomorphism. Then, Im f≤ H. The kernel of f, we write Ker f, is Ker f= {g G:…

A: We know the definition of subgroup ,  A subset H of  group G is a subgroup of G if H itself a group…

Q: Please help with this question: Find the equation of the line or plane  a) Plane parallel to the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. A group of 5 men and 3 women is randomly splittes into two groups of four people. What is the…

A:

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ex+y dxdy

A:

Q: Melanie places $5,000 into an account that earns 6% interest compounded daily. Approximately six…

A:

Q: In each of Problems 13 through 28: (a) Find the solution of the given initial value problem in…

A: Sol

Q: Q4- Solve the following differential equation: (1+r)dy + (y-tan-¹(x)) dx = 0

A:

Q: (a) Evaluate the surface integral JL. TU xy ds where D is part of the plane x+y+3z = 3 that lies in…

A:

Q: x^2 + 5x - y = 6; y = 0; x = 3

A: Please see the attachment  According to the guidelines we are supposed to do one problem.

Q: Prove that sin²x x cos²x = csc²x-cot²x 4csc²2x

A: