Maximize p = x + y subject to X + 2y 2 20 2x + 2y < 20 2x + y> 20 X > 0, y > 0.

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A: Given figure is

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A: Solution :- (1) Plotting y = log2x and y = 2x  

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A: H°+M°-S°=46.1667°.

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A: We have a sequence, an = n · an-1 + (-1)n  ,  n ≥ 1 We have ,  a5 = 44 we need to find ,  a3 Now, Pl...

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Q: 3. For the transformation T: R3 → R³ where T(r1, x2, a3) = (3r1, r2, T1 – 12), (a) Determine whether...

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Q: Find the prime factorization of 99. The prime factorization is

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Q: An elite private college receives large donations from successful alumni. The account that holds the...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub-...

Q: If f(x) = x2 – 5x + 7, what are the co – ordinates of the minimum of y = f(x – 2)?

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Q: X/Example 19-40. If U̟ is a function whose fifth differences are constant and if | U, dx can be expr...

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Q: Based on a survey, assume that 32% of consumers are comfortable having drones deliver six consumers ...

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Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in Z...

A: First we find addition table for Z5. Then find values of x.

Q: 1. use the residue theorem to Verify TT (44ス+5)2そ -00

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Q: The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 x 10° m, what is the dist...

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Q: Prove that if A is invertible and B is row equivalent to A, then B is also invertible.

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Q: The message 22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1 was encoded with matrix A. Decode the mess...

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Q: Find the equation of the tangent plane Pr to the surface S: a2 +y? + z2 = 9 at (2,-1, 2)

A: Given that S:x2+y2+z2=9 at 2,-1,2. We have to find the equation of the tangent plane PT to the given...

Q: An integrating factor of

A: Given,             (x2y-2xy2)dx+(3x2y-x3)dy=0

Q: f(x) = 3x + 7, g(x) = 4х — 5 -, h(x) = 5x² x + 2 1) Find g(3) 2) Find f-1(x) 3) Find gfh(x) 4) Know ...

A: given fx=3x+7 gx=4x-5x+2 and hx=5x2 find (1) g3 (2) f-1x (3) gfhx

Q: Find the simple interest. $1977 at 6.5% for 40 weeks The simple interest is $].⬜ (Round to the neare...

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Q: For all sebs AiB andc, if CAUB)-C =B, then coo CAnC) B=¢

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Q: An object moves along the x-axis with velocity given by v(t) cos(t) m/s || Suppose that the object's...

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Q: Show that H = ((1 2)) is not normal in S3. However, why is H' = ((12 3)) normal in S3?

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Q: 2. Consider a fourth-order polynomial approximation 0e (x) = a, + a2x + a3x2 + a4x3 + a5x* applied t...

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Q: If f(x,y) =log, (cos (e* ))+ sin(x + y) then f (x,y) is ây ôx A) – sin(x + y) B) 0 C) cos (x + y) co...

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Q: 4. Consider a periodic function which takes the form f(t) = 3t on the interval -1 < t< 1 and has per...

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Q: 3 1 A = 4 2.

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Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Answer the following 1. Determine the ar...

A: Given y2=2x and y2=-x+6 We can rewrite y2=2x, as x = y22 and y2=-x+6 as x=-(y2-6)

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Q: Determine whether or not the first number is divisible by the second number 150,606; 9 No Yes

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Q: (1) :) Let o, t E S6 such that 1 2 3 4 56 1 3 4 5 6 and 6 4 3 1 2 2 3 1 6 5 4 Determine the followin...

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Q: Classify the number as a member of one or more of the following sets: the rational numbers, the inte...

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Q: Evaluate f du . 9-4eu

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Q: Q4: using scalar prodect to find the angle between A= 2i+3j+1k B= -4i+2j-1k

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Q: Exercises: 1. Create and plot a signal x, (t) te-lel using the following commands: %3D >>t=-10:0.1:1...

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Q: Solve the system given in the previous problem using Crout's LU factorization method. 4x, + 5x, + 14...

A: Given system is 4x1+5x2+14x3+14x4=223x1+6x2+5x3+2x4=45x1+10x2+8x3-4x4=132x1+5x2+2x3-3x4=1 We can wri...

Q: Sketch the graph of the function f (x, y) = 10 – 4x – 5y.

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Q: Let M denote "Miyazono plays violin.", A denote "Arima plays piano." and S denote the Music is sorro...

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Q: dy 13. y(1) = e de ar(In y - Inr + 1)'

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Q: Example 2 Use Cholesky's LU factorization method to solve the system 16x, – 12x, – 12x3– 16x, = 16 %...

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Q: Use the substitution x = e' to transform the given Cauchy-Euler equation to a differential equation ...

A: When a differential equation is written in the form of xndnydxn+xn-1dn-1ydxn-1+...+xdydx+y=fx The eq...

Q: Q5. (a) Use Laplace and Inverse Laplace transform to solve the following DE: y" +2y' +5y=5sint, y(0)...

A: Some properties of Laplace transform L-1as2+a2=sinat L-1ss2+a2=cosat Lsinat=as2+a2 L-11(s+a)n+1=eat...

Q: lease solve for q2. I wa

A: Given,          q2=a-c2b-a-c2b-q222