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A: given  fx=1x+2x&lt;2x2-5,-2&lt;x≤3x+13x&gt;3 find  (a) limx→-2fx b) limx→0fx c) limx→3fx

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Q: 5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate ...

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Q: (b) 13|3"+2 + 42n+1 (c) 27 | 25n+1 + 5"+2.

A: The solutions of (b) and (c) are given below  

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Q: 4. Evaluate the integral I = sin? x dx Include 4 decimal places on your computation. a. single appli...

A: Trapezoidal rule  ∫ab f(x)dx=  Δx 2​ f(x0)+2f(x1)+2f(x2)+2f(x3 )+⋯+2f(xn-1 )+f(xn) Where ∆x=b-an   S...

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Q: -, first prove that )" 6.

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Q: 2s - 1 43. s2 - 6s + 18

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Q: After an oven is turned on, its temperature, T, is represented by the equation T = 400 – 350(3.2)-0....

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Q: 54. If s, is the kth partial sum of the harmonic series. prove that In(k + 1) < S < 1 + In k. Hint: ...

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Q: IFA = : ) and B = ( 3 If A = 4 5 10 find -2 -5

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Q: 7x + 8y 2 = 46 x - 3y 8z = -53 -2の+y+z=

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Q: 2. (a) If gcd(a , 35) = 1, show that a2 = 1 (mod 35). [Hint: From Fermat's theorem a = 1 (mod 7) and...

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Q: 14x10 1. The velocity of a rocket is given by v(t) = 2000 In |-9.8t,0sts30 where %3D 14x10 – 2100f v...

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Q: 9. (a) f(t) = cos (at + B) (b) f(t) = sin (at + B) %3D 10. f(t) = sin 2t 3 Hint: sin' a = 1 -sin a 4...

A: 9(a). Use the identity cosA+B=cosA·cosB-sinA·sinB to expand the expression cosαt+β.  

Q: Determine whether the logical statement is a tautology, a contradiction or neither: (p→q)→ (p v q)-....

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