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The function f(x) = cot x is discontinuous on the set ______.
Concept: undefined >> undefined
Trigonometric and inverse-trigonometric functions are differentiable in their respective domain.
Concept: undefined >> undefined
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f(x) = xx has a stationary point at ______.
Concept: undefined >> undefined
Solve the differential equation `"dy"/"dx" + y/x` = x2.
Concept: undefined >> undefined
If A = `[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)],` then ____________.
Concept: undefined >> undefined
`abs((1,1,1),("e",0,sqrt2),(2,2,2))` is equal to ____________.
Concept: undefined >> undefined
`("e"^(-2sqrt(x))/sqrt(x) - y/sqrt(x))("d"x)/("d"y) = 1(x ≠ 0)` when written in the form `"dy"/"dx" + "P"y` = Q, then P = ______.
Concept: undefined >> undefined
`"dy"/"dx" + y` = 5 is a differential equation of the type `"dy"/"dx" + "P"y` = Q but it can be solved using variable separable method also.
Concept: undefined >> undefined
`lim_("h" -> 0) (1/("h"^2 sqrt(8 + "h")) - 1/(2"h"))` is equal to ____________.
Concept: undefined >> undefined
`lim_("x" -> -3) sqrt("x"^2 + 7 - 4)/("x" + 3)` is equal to ____________.
Concept: undefined >> undefined
`lim_("x"-> 0) ("cosec x - cot x")/"x"` is equal to ____________.
Concept: undefined >> undefined
If f : R → R and g : R → R defined by f(x) = 2x + 3 and g(x) = x2 + 7, then the value of x for which f(g(x)) = 25 is ____________.
Concept: undefined >> undefined
`("d"y)/("d"x) + y/(xlogx) = 1/x` is an equation of the type ______.
Concept: undefined >> undefined
Integrating factor of the differential equation of the form `("d"x)/("d"y) + "P"_1x = "Q"_1` is given by `"e"^(int P_1dy)`.
Concept: undefined >> undefined
Solution of the differential equation of the type `("d"x)/("d"y) + "p"_1x = "Q"_1` is given by x.I.F. = `("I"."F") xx "Q"_1"d"y`.
Concept: undefined >> undefined
Correct substitution for the solution of the differential equation of the type `("d"y)/("d"x) = "f"(x, y)`, where f(x, y) is a homogeneous function of zero degree is y = vx.
Concept: undefined >> undefined
Correct substitution for the solution of the differential equation of the type `("d"x)/("d"y) = "g"(x, y)` where g(x, y) is a homogeneous function of the degree zero is x = vy.
Concept: undefined >> undefined
Let f : R → R be given by f(x) = tan x. Then f-1(1) is ____________.
Concept: undefined >> undefined
If f : `(1, infty) → (2, infty) "is given by f"("x") = "x" + 1/"x"`, then f-1 equals to ____________.
Concept: undefined >> undefined
Let f(x) = x2 – x + 1, x ≥ `1/2`, then the solution of the equation f(x) = f-1(x) is ____________.
Concept: undefined >> undefined
