Locate all the corner points And find the maximum value of the objective function P=14x+12y over the feasible region

Q: Refer to the graph to the right and follow the directions in parts (a) through (f). (a) Is a > 1 or…

A: Given Data: Let us consider the given graph,

Q: 4. In 2[z], let be the ideal generated by z and 4 (that is, the set of all elements of the form 4a…

A: Given: x,4 is an ideal generated by x and 4 . To show : 1∉x,4  and x,4 is not a principal ideal .

Q: 1 -1 16 ~ -j 1 -1 1 -1 1 -i i 1 j -j -k j k -k k -1 −j i i -2 -i i 1 LI -1 -i j -j -1 k k -k J.J. -j…

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Q: Mateo needs to access a point 16 km downstream on the opposite side of a straight, 4 km wide river.…

A: Let x be the distance  Mateo cover by rowing down stream  and y be the distance  cover by rowing…

Q: max 7 ln(wl+ (1 − q)x) + (1 −7) ln(w - qx). 120 Solving this problem and checking the SOC leads to…

A: As per the question we are given a constrained optimization problem as : maximize : π ln(w - l +…

Q: Used Neuston Raphson method to find the Yout of two functions F(x,y) = ln (x+y) + Sin xy -2 =0 Foxy)…

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Q: Determine the particular solution of the ODE below. y" +2y+y=t+e¯t, y (0) = 1, y′ (0) = − 1 a) y (t)…

A: Given differential equation is y'' + 2y' + y = t + e-t ,  y(0) = 1,  y'(0) = -1

Q: 3. Find the domain of (f + g)(x) when f(x) = x-3 and g(x) = 4 x+2

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Q: A local pizza parlor has the following list of toppings available for selection. The parlor is…

A: Total Pizza Toping available= 19 Total Number of 4 toping pizza combination = 19C4

Q: m-1 1 If * Σ( ² ) = 4( ¹ - ₂ = ²/₁ ) ₁ ₁ k=1 2m m «£ () simplification of 04(1-2-²-1) 2m 04 (1+ 1 2m…

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Q: If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Consider the equation (2¹ +64) = 32√/31³. Find all the roots and express them in rectangular form.…

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Q: Use the residue theorem to evaluate the following integral. -2π 4d0 S™ 5 + 4sin0

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Q: Problem 2. In this problem, we will practice a bit with numerical integration. We take the following…

A: Since you have asked multiple sub-questions, as per the guidelines we will solve the first three…

Q: Write the augmented matrix of the system and use the matrix method to solve the system. Write the…

A: Solution :-

Q: The goal of consumers is to maximize utility from a given budget. Assume there are three commodities…

A: Max U=xyz Subjected to constrain  5x+5y+10z=750 gx,y,z,λ=xyz-λ5x+ 5y+10z-750∂g∂x=yz-5λ=0…

Q: Every rational number x may be written in the form x = m/n with n > 0 and m, n coprime integers.…

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Q: Find the remainder when 81⁹054 is divided by 13.

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Q: For ohy a <bony f: [dsb] → IR and any n ≥4 RIGHT (f, n)-f(x) dx = 1 (b-d) ² max 2 n xeld by |f'(x))…

A: Given a=0, b=2, fx=2πe-x22. With n=4, the width of each interval will be ∆x=b-an=2-04=12. Thus, the…

Q: Find the area of the shaded region in specified by the graphs of the circles

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Q: 9.) A genetics analysis of 50 pea plants' characteristics revealed: 22 plants were tall 25 plants…

A: After a genetics experiment on 50 pea plants, the numbers of plants with certain characteristics…

Q: Prove that ax² bx + (x-a) (x −b) (x -c) (x - b) (x - c) 27 (x-a)(x-b)(x-c) C x - с +1

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Q: 2. Consider the functions f(x) g(x): - = 3x2 when x -10 −6 when x = -6' 3x² + 16x 12 x+6 9-x and…

A: The given functions are  f(x)=3x2+16x-12x+6, g(x)=3x-2when x≠-6-10when x=-6, h(x)=3x-2. (A) To…

Q: Construct a matrix whose null space consists of all linear combinations of vectors (3, 2, 0, 1) and…

A: Null space and corresponding matrix

Q: The following matrix A has a triple eigenvalue at Aλ = -1. Compute its Jordan canonical form, and…

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Q: 2. Set up (but do not evaluate) a triple integral for the volume of the solid that lies inside both…

A: We will use cylindrical system to find volume of solid  x=r cosθ , y=r sinθ , z=zHere r is distance…

Q: Let W(x, y) mean that student x has visited website y, where the domain for x consists of all…

A: We have given that, Wx, y=student x has visited website y. Here domain for x consists of all…

Q: 1. Find the work done by the force F(x, y, z) = (y² − z²)i +2yzj — x²k on an object moving along the…

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Q: (a) Graph f(x)=7 sin (2x)+1 and g(x)= on the same Cartesian plane for the interval [0,x]. (b) Solve…

A: Given: f(x)=7sin(2x)+1 and g(x)=92 To find: a) Graph f(x)=7sin(2x)+1 and g(x)=92 on the same…

Q: A bin contains 32 red balls and 17 white balls. Four balls are selected at random from the bin, one…

A: Given A bin contains 32 red balls and 17 white balls. 4 balls are selected at random without…

Q: Find the sum of the convergent series. (Round your answer to four decimal places.) Σ (sin(1))" n = 1…

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Q: Define the following a) span {v₁, v₂,v}, b) {v₁, v₂,vis linearly n dent, mation. m c) span {v₁, v₂,…

A:

Q: (a) The curve with equation   2 y3 +y2 -y5 =x4 -2x3 + x2 has been likened to a bouncing wagon. Use a…

A: The given equation 2y3+y2-y5=x4-2x3+x2 we have to sketch the graph of the curve and find the number…

Q: g is a piecewise function composed of line segments and a semicircle. -1 G(0) = G(1) G(2) G(4) G(5)=…

A: j

Q: For ony »ony f: [dsb] → IR and ony n>1 RIGHT (f. n)-f(x)d₂ ) ≤ & (6-0)² max 1 f'(20) 1 If'(x)) n d…

A: fx=2πe-x22 a=0, b=2n=4∴h=2-04       =0.5∴x0=0, x1-0.5, x2=1, x3=1.5,…

Q: 1. The position of an object moving in space is given by R(t) = (cos 2t)i + (sin 2t)j + tk a. Find…

A: Given, The position of an object moving in space is given by, R(t) = (cos2t)i+(sin2t)j+tk

Q: PROOF EVALUATION (This type of exercise will appear occasionally): Each of the follow- ing a…

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Q: Determine the full solution of the ordinary differential equation (ODE) given below. The usual form…

A: First we find auxiliary equation of given ODE. Then we find particular solution of given ODE from…

Q: 'Find a function f such that Vf = 4x²i + 3y²j. f= Use ƒ to evaluate: [(4x²i+ 3y²j) - dr = Σ + K Σ…

A: Line integrals independent of path. Let F(x,y,z) be continuous in region R of space. Then the line…

Q: Let T be the linear transformation whose standard matrix is given. Decide if T is a one-to-one…

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Q: b) tan² + tan 0-2=0 0≤0<2π

A: (b) The given equation is tan2θ+tanθ-2=0 Substitute tanθ=x. x2+x-2=0 Using the discrimant formula,…

Q: Used Newton-Raphson method to find the foot of two functions. [(80) = log8 - tane - @ → () F (0) =…

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Q: Find the last digit in the decimal expansion of 719064

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Q: Determines the acute angle of intersection of ellipses 4x² + y² - 32x+56= 0 & 6x² + 8y² = 86 at one…

A: 4x2+y2-32x+56=0      (i)6x2+8y2=86      (ii) Putting substituting the value of y2  from equation ii…

Q: 1. Identify the domain of this relation. {(8,10), (5,7), (9,–11). (6,-8)} O A. Domain: {5,6,8,9} O…

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Q: 3. Let g be a primitive root for Fp. ) Suppose that x = a and x = b are both integer solutions to…

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Q: 9. Translate the following statement into English, where the domain for each variable consists of…

A: Here the domain for x and y are real numbers.

Q: Find the remainder when 217054 is divided by 17.

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Q: Compute the surface integral s F-ndo. F = xyi - x¹j+ (x+z)k. The surface is the top of the plane 2x…

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Q: A population of insects currently numbers 22,900 and is increasing at a rate of R(t)- 1215e0.13…

A: