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Academics – Mathematics : 2014/DEC/03

Question

Q3. (a) Make R the subject of the formula: (6)

f = 1/2π √(1/LC - R²/L² )

(b) The minimum diameter d of a shaft subjected to a bending moment M and a torque T is given by the formula:

d²= 16/πn (M + √(M²+ T² ))

Determine the value of d when n = 6500, M = 10480 and T = 22500. (6)

6x⁴y + x³y² - 2x²y³

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