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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
- Let f: R rarr R be a positive increasing function with underset(xrar...
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- Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...
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- A spherical balloon is filled with 4500pi cubic metres of helium gas. ...
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- The real number k for which the equations 2x^3 +3x+k=0 has two distinc...
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- The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is
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- The normal to the curve x^(2)+2xy-3y^(2)=0 at (1, 1)
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- Let f(x) be a polynomial of degree four having extreme values at x =1 ...
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- Consider f(x) = tan^-1(sqrt((1+sinx)/((1-sinx)))), x in (0,pi/2) A nor...
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- A wire of the length 2 units is cut into two parts which are bent resp...
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- The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...
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- The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...
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- Show that the function f given by, f(x) = x^3 - 3x^2 + 4x, x in R is i...
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- Find the slope of the tangent to the curve y = x^3-3x+2 at the point w...
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- A man of height 2m walks at a uniform speed of 5km/h away from a lamp...
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- Find the intervals in which the function given by : f (x) = sin x + co...
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- Prove that the curves x = y^2 and xy = k cut at right angles if 8k^2 =...
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- Evaluate sqrt(401), using differentials.
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- It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains i...
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- Find the equations of the tangents to the curve 3x^2 - y^2 = 8, which ...
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- Show that the height of the cylinder of maximum volume that can be ins...
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