# Mathematics

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Solution Library **

#### Equation of the Normal to Curves

Question Find the equation of the normal to these curves at the given points. Y = 2x5 – 7x3 -2 at x = 1. Summary: This question belongs to differentiation in mathematics and discusses about finding the equation of the normal to given curves at the given points. Answer is in image format & ... Read More

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#### Equation of the Normal to Curves at Given Points

Question Find the equation of the normal to these curves at the given points. Y = x2 – 6x + 5 at x = 1. Summary: This question belongs to differentiation in mathematics and discusses about finding the equation of the normal to given curves at the given points. Answer is in image form ... Read More

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#### Equation of the Normal to Curves at Given Points

Question Find the equation of the normal to these curves at the given points. Y = x(x+4) (x-2) at x = 1. Summary: This question belongs to differentiation in mathematics and discusses about finding the equation of the normal to given curves at the given points. Answer is in image format ... Read More

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#### Turning Points of Given Curves and to Say Maxima or Minima

Question Find the turning points of the following curves and say whether they are maxima or minima. Y = 6x3 + 6x2 – 6x Summary: This question belongs to differentiation in mathematics and discusses about finding the turning points of the given curves and say whether they are maxima or minim ... Read More

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#### Turning Points of Given Curves and to Say Maxima or Minima

Question Find the turning points of the following curves and say whether they are maxima or minima. F(x) = e3x – 3x Summary: This question belongs to differentiation in mathematics and discusses about finding the turning points of the given curves ... Read More

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#### Calculation of Optimum Dimensions of a Can

Question Determine the rates of change and hence solve the following problem. A paint manufacturer wishes to minimize the surface area of a can which will hold 550 ml of paint. Calculate the optimum dimensions of the can. Summary: This question belongs to differentiation in mathematics and discus ... Read More

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#### Turning Points of Given Curves and Sketch the Graph

Question Find the turning points of the curve Find the turning points of the curve. Y= x3 + ½ x2 – 2x + 5 Summary: This question belongs to differentiation in mathematics and discusses about finding the turning points of the given curves and to sketch the graph. Answer is in image f ... Read More

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#### Differentiation of Exponential Equation

Question Differentiate the following function Y = e-4x + 2x2 Summary: This question belongs to differentiation in mathematics and discusses about differentiating the given exponential equation. Answer is in image format ... Read More

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#### Differentiation of Trigonometric Equation

Question Differentiate the following function F(x) = sin 3x + 4x2 + 2x Summary: This question belongs to differentiation in mathematics and discusses about differentiating the given trigonometric equation. Answer is in image format ... Read More

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#### Differentiation of Trigonometric Equation

Question Differentiate the following function F(x) = 5x2 – cos2x + 7 Summary: This question belongs to differentiation in mathematics and discusses about differentiating the given trigonometric equation. Answer is in image format ... Read More

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#### Differentiation of Trigonometric Equation

Question Differentiate the following function Y = 3 lnx - 2cosx Summary: This question belongs to differentiation in mathematics and discusses about differentiating the given trigonometric equation. Answer is in image format ... Read More

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#### Differentiation of Trigonometric Equation

Question Differentiate the following function F (x) = sin (3x+4) Summary: This question belongs to differentiation in mathematics and discusses about differentiating the given trigonometric equation. Answer is in image format ... Read More

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