Is the calculus book by I.A. Maron really effective for the IIT-JEE preparations? . I would recommend you Problems of calculus in one variable by IA MARON. Download PROBLEMS IN CALCULUS OF ONE VARIABLE BY Documents Similar To PROBLEMS IN CALCULUS OF ONE VARIABLE BY I.A. MARON. iit maths. Uploaded by. Vardaan Popli.

The Derivative of a Function Represented Parametrically.

Is it possible to use both an- tiderivatives for computing the definite integral by the Newton- Leibniz formula? We again apply to the first integral the method pne reducing the power: Knowing that the mean rate of flow is 1. Find the polynomial P x of vaiable least degree whose graph has three points of inflection: Thus, the function under consideration can be written in the following way: Find a mistake in the following reasoning.

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Therefore, it is usual practice to take advantage of their combination, i. Find the intervals of convexity of the graph of the function. Applying the Taylor formula with the remainder in Peano’s. Among what points should we look for points at which the composite function may have no derivative?

With the aid of the principle of substitution of equiva- lent quantities find the limits: Applying logarithmic differentiation find the derivatives of the following functions: At what position of the maroon can one obtain the most reliable results? Each of the two vertical poles OA and CD is equipped with an electric lamp of luminous intensity i fixed at a height h.

The solid line in Fig. Therefore the point 0, 0 is a point of inflection.

Find the average value of pressure p m varying from 2 to 10 atm if the pressure p and the volume v are related as follows: Therefore the L’Hospital rule is applicable: Solution, a We integrate by parts. In both cases choose as: Let us investigate the domain of definition ca,culus the func- tion on the left side of the equation.

J sin 2 x Solution. Test the following functions for continuity: Form an integral sum: Find the expressions for determining the absolute errors in the following functions through the absolute errors in their argu- ments: The derivative of this function is everywhere equal to zero: A successful combination of the indicated methods, prompted by experience, often allows us to simplify the process of finding the coefficients.

Solution, a Differentiate the implicit function: Prove that between two maxima minima of a continuous function there is a minimum maximum ix this function. Anshul marked it as to-read Nov 25, Which of its coordinates changes faster?

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Some indirect methods of estimation enable us to indicate approximately varable order of the error. Rahul Pratyush marked it as to-read May 03, Using the expansion into a linear combination of simpler functions find the derivatives of the th order of the functions: Integration of Trigonometric and Hyperbolic Functions 1.

Therefore, the limit of integral sums is non-existent, which means that the Dirichlet function is not integrable on the interval [0, 1]. In this formula the constant part of the expenses a refers to depreciation and crew’s upkeep, and the second term bv’ s to the fuel cost.

PROBLEMS IN CALCULUS OF ONE VARIABLE BY PDF

Want to Read Currently Reading Read. Expand the following functions in positive integral powers of the variable x up to the terms of the indicated order, inclusive: Solution, a Using the familiar trigonometric formulas, we find It is known that the function cos a: A system of equations for the coefficients can also be obtained by substitu- ting suitably chosen numerical values of x into both sides of the identity. Investigate the first derivative: Hence, the sequence converges, its limit being V varianle.

What are the domains of definition of the following functions: