or the given

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Q: 1 Given the function f(x) = . Find and simplify the following expressions. f(x + h) – f(x) (a) h f(x...

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A: i)Tabcd+efgh=Ta+eb+fc+gd+h=2a+e-b-fb+f+c+gc+g+d+h=[2a-b+2e-fb+c+f+gc+d+g+h]=[2a-bb+cc+d]+[2e-ff+gg+h...

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Q: 2 If sultana grapes cost R2,40 per kilogram, how much will 9 kg cost?

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Q: Find the Laplace transform, F(s) of the function f(t) = 5, t > 0. F(s) = ,s > 0

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A: This is a Numerical Analysis problem.

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Q: the followms lineer pgramming Poblem: 3x, + Xe t 213 s.t. ズ」 X +2X3 s 20 2文,+ X』 Xる く(o 20. て apply ...

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Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In

A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x

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Q: Use the table of Laplace transforms to find the following 99 L 84

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Q: (6) Define T1,T2,T3 : R³ → R³ by T1 T3( y ) Y y – z (a) Find TT2( y). (b) Suppose that T1,T2, T|T2 a...

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Q: .... -...- 17)408

A: Given:  To find: The quotient in the division.

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A: Newton's divided difference formula for 3 points can be defined as: f(x)=y0+(x-x0)f[x0,x1]+(x-x0)(x-...

Q: 2. sir

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Q: a) Determine whether S = {(1,0,-1), (2,1,0), (3,1,-1), (1,1,1)} spans R. b) Find all c ER for which ...

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Q: Votes 35 25 39 45 1st Place А B D 2nd Place 3rd Place | 4th Place В A B B D C D A D A 1. What are th...

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Q: sin ot 0 a 0t 1. VI

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Q: ly for 8 ye

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Q: (A) If f(0) = 0.7,f(0.1) = 1, and S(0.2) = 0.2, use an appropriate 3-point formula to approximate f'...

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Q: Jamie had 6\frac{1}{2}621​ dozens of cookies. She sold 3\frac{2}{6}362​ dozen of the cookies she mad...

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Q: Use the table of Laplace transforms to find the Laplace tr

A: The given function is f(t)=3t6-6cosh11t use the formula  Ltn=n!sn+1Lcosh at=ss2-a2  

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Q: 10 8. ID 116

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A: If F(s) is the Laplace transform of f(t), then f(t) is called the inverse Laplace transform of F(s)....

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and ...

A: To prove that size of every bipartite graph of order n is at most  n24

Q: Example: Evaluate the following Integral CO -x=V2 ry=2 x³ev° dydx Jy=x²

A: Here we use change of order to solve this 

Q: 6. How many mappings are there from A to B where A={1, 2, 3, 4} and B = {Low, Middle, High}. How man...

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Q: 7. John is not both happy and angry, but not both. 8. Jerico will be found guilty only if he committ...

A: Solution: 7.  Let p=John is happy, q=John is angry. John is not both happy and angry, but not both T...