Please select a subject first
Advertisements
Advertisements
Using differentials, find the approximate value of each of the following.
`(33)^(1/5)`
Concept: undefined >> undefined
Show that the function given by `f(x) = (log x)/x` has maximum at x = e.
Concept: undefined >> undefined
Advertisements
The normal at the point (1, 1) on the curve 2y + x2 = 3 is
(A) x + y = 0
(B) x − y = 0
(C) x + y + 1 = 0
(D) x − y = 1
Concept: undefined >> undefined
The normal to the curve x2 = 4y passing (1, 2) is
(A) x + y = 3
(B) x − y = 3
(C) x + y = 1
(D) x − y = 1
Concept: undefined >> undefined
The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are
(A)`(4, +- 8/3)`
(B) `(4,(-8)/3)`
(C)`(4, +- 3/8)`
(D) `(+-4, 3/8)`
Concept: undefined >> undefined
Integrate the function in x sin x.
Concept: undefined >> undefined
Integrate the function in x sin 3x.
Concept: undefined >> undefined
Integrate the function in `x^2e^x`.
Concept: undefined >> undefined
Integrate the function in x log x.
Concept: undefined >> undefined
Integrate the function in x log 2x.
Concept: undefined >> undefined
Integrate the function in x2 log x.
Concept: undefined >> undefined
Integrate the function in x sin−1 x.
Concept: undefined >> undefined
Integrate the function in x tan-1 x.
Concept: undefined >> undefined
Integrate the function in x cos-1 x.
Concept: undefined >> undefined
Integrate the function in (sin-1x)2.
Concept: undefined >> undefined
Integrate the function in `(x cos^(-1) x)/sqrt(1-x^2)`.
Concept: undefined >> undefined
Integrate the function in x sec2 x.
Concept: undefined >> undefined
Integrate the function in tan-1 x.
Concept: undefined >> undefined
Integrate the function in x (log x)2.
Concept: undefined >> undefined
Integrate the function in (x2 + 1) log x.
Concept: undefined >> undefined
