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<=KNEC Diploma in Electrical and Electronics Engineering(Power option, Telecommunication Option, Instrumentation Option)Engineering Mathematics I Module 1 past paper: November 2016
Solve the equation:
3x2=27x+1 correct to two decimal places
3x2=27x+1 correct to two decimal places
Viewed: 437 times
Share in:
Questions List:
1. Solve the equation √x=3+x√12
2. Solve the equation: 3x2=27x+1 correct to two decimal places
3. The cost of 5 resistors, 4 capacitors and 1 diode is Ksh 340; the cost of 10 resistors, 9 capacitors and 4 diodes is Ksh 880; while the cost of 10 resistors, 13 capacitors and 15 diodes is Ksh 1920. Use elimination method to determine the cost of each component.
4. Use the binomial theorem to expand (1-2x1+3x)13 up to term in x2.
5. Given the complex numbers Z1=6j and Z2=3+j, determine Z1Z2, expressing the answer in exponential form.
6. Solve the equation log(x2+6)-logx=log5.
7. Solve the equation 4cos2θ-2sinθ+2=0 for 00≤θ≤3600.
8. The longest side of a right angled triangle is (x+9)cm. if the length of the other remaining sides are (x+5)cm and (2x+6)cm, determine the; i)dimensions of the triangle; ii)area of the triangle.
9. Prove the hyperbolic identities: tanh(θ-ϕ)=tanhθ-tanhϕ1-tanhθtanhϕ
10. evaluate the integrals: ∫(3x-5)4dx
11. Evaluate the integrals: ∫sin23xdx
12. Evaluate the integrals: ∫7618+21x-x2(x-5)(x+2)2dx
1. Solve the equation √x=3+x√12
2. Solve the equation: 3x2=27x+1 correct to two decimal places
3. The cost of 5 resistors, 4 capacitors and 1 diode is Ksh 340; the cost of 10 resistors, 9 capacitors and 4 diodes is Ksh 880; while the cost of 10 resistors, 13 capacitors and 15 diodes is Ksh 1920. Use elimination method to determine the cost of each component.
4. Use the binomial theorem to expand (1-2x1+3x)13 up to term in x2.
5. Given the complex numbers Z1=6j and Z2=3+j, determine Z1Z2, expressing the answer in exponential form.
6. Solve the equation log(x2+6)-logx=log5.
7. Solve the equation 4cos2θ-2sinθ+2=0 for 00≤θ≤3600.
8. The longest side of a right angled triangle is (x+9)cm. if the length of the other remaining sides are (x+5)cm and (2x+6)cm, determine the; i)dimensions of the triangle; ii)area of the triangle.
9. Prove the hyperbolic identities: tanh(θ-ϕ)=tanhθ-tanhϕ1-tanhθtanhϕ
10. evaluate the integrals: ∫(3x-5)4dx
11. Evaluate the integrals: ∫sin23xdx
12. Evaluate the integrals: ∫7618+21x-x2(x-5)(x+2)2dx
