Find the absolute maximum and minimum of the function f(x,y) = 2x - 8x + y - 8y + 2 on the closed triangular plate bounded by the lines x = 0, y = 4, and y = 2x in the first quadrant. ... On the given domain, the function's absolute maximum is

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A: From binomial theorem we know, 1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+....

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A: here f(g(x)) = h(x) =5-x so lets g(x) = 5-x and f(x) = x so this make it f(g(x)) = h(x) =5-x so this...

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Q: csc x du (3T 5. If u = f(x), then dx sin x – cos x Compute f и %3D (a) 1 (b) -1 (c) 0 (d) 2

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A: Given, The differential equation dydx-y=xy2 We have to solve the differential equation.  

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A: Given statement: A function f(x) that is discontinuous at a point x=a in its domain may still have a...

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A: Solution of given question is written in step 2

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Q: 2. Summation (a) Write the sum 50+ 51 +52+..+ 99+ 100 in summation notation. (b) Compute the value o...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e, n- 5 Pglx) =

A: f(x)=e-x, n=5 Now P5(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+f''''(0)4!x4+f'''''(0)5!x5 f(x)=e-x,f(0...

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Q: Solve. 7 6 x +

A: Given :     57+16=1x

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 + x+ 4...

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Q: Find the radius of convergence of the power series. (If you need to use o or -0o, enter INFINITY or ...

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Q: Evaluate f'(x) at x = 2.

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Q: Answer this question by showing all work and formulas used to solve: Determine the equation of the t...

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Rou...

A: Question: suppose a sample of certain substance decay to 73.6% of its original amount after 300 days...

Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u d...

A: This can be evaluated as follows:

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Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

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Q: dx The integral | can be rewritten as V1. - X (a) lim (-2+2v1 – s) (b) lim (-1+2v1 – s) S--00 S--00 ...

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Q: Is the sequence divergent or convergent? {vn - vn+1}

A: n  - n+1 =(n  - n+1) (n  +n+1 )/(n  + n+1) n  - n+1  = (n - n - 1)/(n  + n+1)  n  - n+1  =  - 1/(n  ...

Q: Q3) Find the Lagrange polynomial that fits the following set of four poin value of y at x-0: Ans. y=...

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Q: Qi) Solve the following PDES by direct integration. 2) = 0 дх ду 3) = x?y %3D дх ду dxdy azu -2t and...

A: Solve PDE by direct integration.  According to guidelines we solve only first question. 

Q: Solve the differential equation below: (D^2-1)y=e^-2x sin^e-x

A: Solve the differential equation below:   (D2 -1)y=e-2x sine-x

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Q: 8. rix of A using LU decomposition. 4 6 0] 6 12 2 8 4 A = %3D

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Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)4 = f(x) = D %3...

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