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951

The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.

  • A. x\(^2\) -  6x - 5
  • B. x\(^2\) -  6x + 5
  • C. x\(^2\) -  6x - 3
  • D. x\(^2\) -  6x + 7
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952

A particle of mass 3kg moving along a straight line under the action of a F N, covers a line distance, d, at time, t, such that d = t\(^2\) + 3t. Find the magnitude of F at time t.

  • A. 0N
  • B. 2N
  • C. 3(2t + 3)N
  • D. 6N
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953

If α and β are roots of x\(^2\) + mx - n = 0, where m and n are constants, form the

equation whose roots are 1
α
and 1
β
.
  • A. mnx\(^2\)  - n\(^2\) x - m = 0
  • B. mx\(^2\)  - nx + 1 = 0
  • C. nx\(^2\)  - mx + 1 = 0
  • D. nx\(^2\)  - mx - 1 = 0
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954

A particle is acted upon by forces F = (10N, 060º), P = (15N, 120º) and Q = (12N, 200º). Express the force that will keep the particle in equilibrium in the form xi + yj, where x and y are scalars.

  • A. 17.55i + 13.78j
  • B. 17.55j - 13.78i
  • C. -17.55i + 13.78j
  • D. -17.55i - 13.78j
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955

Evaluate: lim\(_{x→-2}\) \(\frac{x^3+8}{x+2}\).

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