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AP Calculus AB Review Transcendentals, Diff Eqs., Area/VolumeName: _____. Determine the derivative of the following functions. 1) f(x) = ln(x4 + 8)2) f(x) = . e secx . 3) g(x) = tan(e2x) 4) . ln⁡ (2x) 1 f t dt . 5) y = arctan(3x – 1)6) f(x) = 24x – cot(3x) Evaluate the following integrals. 7) . se c 2 x tanx dx 8) 1 xlnx dx 9) . e 5x dx 10) . e x 1+ e x dx 11) e x 1+ e 2x dx 12) . tan ...
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To show that Newton’s second law is real law of motion. Q13. A man of 70 kg stands on weighing machine in a lift which is moving:-Upward with uniform speed 10 m/s. Downward with uniform acceleration 5m/s2. Upward with uniform acceleration 5m/s2. Find readings in each case. Q14. State work energy theorem and derive it.
derivative of sec x

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10. Sum of three numbers is 20. If we multiply the first by 2 and add the second number and subtract the third we get 23. If we multiply the first by 3 and add second and third to it we get 46. Find the numbers. Ans: 13, 2, 5. 11. If A-1= 3 -1 -1 -15 6 -5 5 -2 2 and B= 1 2 -2 -1 3 0 0 …
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[DOCX File]IB Mathematics (HL)
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Use of the second derivative to classify stationary points and points of inflexion, including knowledge of the terms “concave up” and “concave down” (see syllabus 6.3) Knowledge that a point of inflexion may have zero or non-zero gradient, and that at a point of inflexion f”(x) = 0 and f”(x) changes sign (also known as a concavity ...
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2∫∫secx tanxdx− 6∫ cosec2xdx ∫ 4x dx 8∫ dxdx 5= 1. x = 2 ln ... one of which is the derivative of the other. 3.2 ... second function by six and divide by six to get u1.
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and also provide standard notations to denote the derivative of a function. 17.2 State the significance of derivative in scientific and engineering applications. 17.3 Find the derivatives of elementary functions like xn , ax, ex, log x, sin x, cos x, tanx, Secx, Cosecx and Cot x using the first principles.
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9. A retired person has Rs 70,000 to invest in two types of bonds. First type of bond yields an annual income of 8% on the amount invested and the second type of bond yield 10 % per annum. As per the norms, he has to invest minimum Rs 10,000 in first type and not more than Rs 30,000 in second type.
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square of the second and cube of the third may be maximum. 7] Determine the point on paraboloid z = x2+y2 which is closest to the . point ( 3, -6, 4) 8] Find the minimum distance of any point from the origin on the plane . x +2y +3z = 14. 9] Find the minimum and maximum distance of the point (3,4,12) from the. Sphere x2 + y2+ z2 = 1
second derivative of sec x

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and also provide standard notations to denote the derivative of a function. 5.2 State the significance of derivative in scientific and engineering applications. 5.3 Find the derivatives of elementary functions like xn , ax, ex, log x, sin x, cos x, tanx, Secx, Cosecx and Cot x using the first principles.
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SECOND YEAR. Gen 211 Islamiat & Pak Studies 1 0 1. Math 233 Applied Mathematics-II 3 0 3 Coms 211 Communication Skills 1 0 1 El.TR 212(Rev.)Propagation of Electromagnetic Waves 2 0 2. El.TR 225 Analog Electronics 3 6 5. El.TR 233(Rev.)Electrical Instruments & Measurements 2 3 3. El.TR 243(Rev.)Electrical Machines 2 3 3
derivative of sec x

Second derivative of secx