4. Find the quadratic function f(x) Arches if it passes through the points (0, 0), (1, 7.6), (9, 6). Use the WIND OW shown to check vour solution. = ax? + bx +c that models the left side of the MacDonald

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A: fx,y=3x2+4y2 and x+4y=104⇒x=104-4yTo find:Extremum and determine its type.

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Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

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Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y² +…

A: The explanation of answer as follows :-

Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

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Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

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Q: Find maximum and minumum values of f(x, y, 2) = 7x – 14y + 35z subject to the constraint z? + y² +…

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Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

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A: Introduction :

Q: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x? + y? +…

A: The given function is; f(x,y,z) = 8x-16y+40z

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A: We sketch 2x+y≥2 , 3x+4y≤12 , x≥0, y≥0 using a graphing calculator.

Q: quadratic form 1.) 2xy+6xz-4yz 2.)x2+y2+z2+2xy

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Q: Find maximum and minumum values of f(x, y, z) = 5x – 10y + 25z subject to the constraint x2 + y? +…

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Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

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A: max U=x+y+z subject to xyz=8

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Q: 3. Find the maximum value of f(x, y)= 2xy subject to constraint 2x+y=12 using Lagrange Multiplier.

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Q: 3. Find the complete solution of the giyen DE using the Method of Variation of Parameters: y" + 44…

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Q: i) Find dp(v5,Vs), dp(v2,V4), and dp(V2,Vg). ii) What is the maximum distance between any two…

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Q: Find the extremum of​ f(x,y) subject to the given​ constraint, and state whether it is a maximum or…

A: Solution:-  the given constraints are  f(x,y) = xy and 14x+y=8 we have to find extremum....

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.