Minimize 3x2 - y2 using steepest descent method, with initial point (4,4) and give the values of ao, X1, a1 & X2

Q: Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the…

A: Let Q(x,y,z) be the point closest to the point P. Let D be the distance between these two points.…

Q: A piece of wire of length L is to be cut into two pieces, one piece to form a square and the other…

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Q: Implement one iteration of the Steepest Descent method with a0) = (0,1,1)* towards ap- proximating…

A: For steepest descent method  Find gradient of function f = ∇f at given point  then find φ(t)rate of…

Q: Graph the feasible region.  x + y ≤ 3 and  x ≥ 1, y ≥ 0

A: Given    x+y⩽3  and x⩾1, y⩾0     To draw x+y⩽3, first draw x+y=3    ⇒y=-3+3    x     0…

Q: Two cities A and B are 8 km and 12 km, respectively, north of a river which runs due east. City B…

A: Given,  Two cities A and B are 8 km and 12 km respectively , north of a river which runs due…

Q: Minimize ?=?+3?+10 subject to:  2?+4?≥8  4?+3?≥12  ?,?≥0 Corner points at…

A: The objective function is given as, Zx,y=x+3y+10 Subjected to the following constraints,…

Q: A rectangular lot is to be fenced in using two different kinds of fencing. Three sides will be…

A: Given that, Three sides of rectangular land will be fenced using standard fencing that costs $7 per…

Q: Find the slopes of fourth order Runge Kutta method.

A: We need to find the slopes of fourth order Runge Kutta method.

Q: Why we use the minimum ratio test to find the column in the DUAL simplex method, what will happen if…

A: The dual simplex method minimum ratio test is used to determine the leaving base variable. Recall…

Q: using the Variation of Parameters method the particular solution is:

A: Let y1 and y2 be the solutions of associated homogeneous equation y''+P(x)y'+Q(x)y=f(x),then by the…

Q: The marginal cost of a company is MC = 100 – 20x + x². 2006 and the fixed cost is The quantity that…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: 2. The Minimum point of y= 320

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Q: The production function for a firm is p(x, y) = 68x"y"", where x and y are the number of units of…

A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: The production function for a firm is p(x, y) = 72x"y"", where x and y are the number of units of…

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Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: Minimize Z = 5x1 + 7x2, subject to 2x1 + 3x2 > 147 3x1 + 4x2 > 210 X1 + x2 > 63 and

A: Min Z =   5 x1 + 7 x2 subject to   2 x1 + 3 x2 ≥ 147   3 x1 + 4 x2 ≥ 210     x1 +…

Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: rectangular field with one side along a river is to be fenced. Suppose that no fence is needed along…

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Q: 1. Without using Lagrange Multipliers, find three positive numbers whose sum is 100 and whose…

A: let the numbers be "x" and "y" Given the sum of numbers is 100  then  x+y=100                  Then…

Q: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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Q: A closed rectangular box with a volume of 81 cm3 is made from two kinds of materials. The top and…

A: Solve for the dimensions

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: A farmer wishes to build a rectangular fence and has 800 meters of fencing material with which to…

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Q: roduction function for a firm is p(x, y) = 96xy", where x and y are the number of units of labor and…

A: According  to guidelines  we solve one question. Thanku

Q: View Steepest Descent MEthod Identify single problem on this method and solve

A: use steepest descent method to find one iteration to minimize the function fx,y=x2+3y2-2xy with…

Q: In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed…

A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that    X…

Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: Determine the minimum point of fx) =x,²+x,x, +x,² – 3x, – 3x, by using conjugate gradient method,…

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Q: Use Lagrange multiplier to solve. Max U = x+y+z subject to xyz = 8

A: max U=x+y+z subject to xyz=8

Q: Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: 2. Maximize 2= X, + Xå subject to and X, H2zo

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 230 and whose product is…

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Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10

Q: 3. A line of negative slope through (1, 2) cuts off a triangle in the first quadrant. For which such…

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Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is 5 miles…

A: Given- A boat in the ocean is 3 miles from the nearest point on a straight shoreline; that point is…

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: 1. Shade and label the feasible region R which satisfies: ys-x+6 1 y2-xーー y< 2x+4 y54

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Q: A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km…

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Q: Q2, Maximize the profit P which depends on x-size, y=quality and z= weight of the product Maximize,…

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Q: III Locate the possible y = x³ + 6x² + 9x max and min points and pt/s of inflection

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Q: A piece of land next to a stream is to be divided into three adjacent fields and then fenced so that…

A: One side is covered with stream and not needed any fencing. Total area to be fenced is 800 ft².…