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- Let f(x)=a(5)x^(5)+a(4)x^(4)+a(3)x^(3)+a(2)x^(2)+a(1)x, "where" a(i),s...
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- Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...
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- If there is an error of k % in measuring the edge of a cube, then the...
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- Prove that the function f(x)=(log)e(x^2+1)-e^(-x)+1 is strictly increa...
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- The rate of change of the volume of a sphere w.r.t. its surface area, ...
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- Prove that the function are increasing for the given intervals: f(x)=s...
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- A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. ...
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- Prove that the function are increasing for the given intervals: f(x)=s...
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- A man 2m tall, walks at the rate of 1 2/3m//s e c towards a street lig...
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- Find the least value of k for which the function x^2+k x+1 is an inc...
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- At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first...
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- If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(...
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- Find the coordinates of a point the parabola y^(2)=8x whose distance f...
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- Test whether the following functions are increasing or decreasing : f(...
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- The radius of a right circular cylinder increases at the rate of 0.1 c...
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- Suppose that f is differentiable for all x and that f^(prime)(x)lt=2 f...
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- Prove that the function are increasing for the given intervals: f(x)=e...
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- The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...
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- A cube of ice melts without changing its shape at the uniform rate o...
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- Using Rolles theorem, prove that there is at least one root in (45^(1/...
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