Latest Posts

Write the formula to find the number of onto functions from set A to set B.

Answer: Onto function could be explained by considering two sets, Set A and Set B, which consist of elements. If... View Article

Explain the procedure to find (d2y/dx2) [second order derivative] of any function y=f(x).

d2y/dx2 is defined as d2y/dx2 = d/dx (dy/dx) Let function f(x) be y = x^3 + 20x^2 To find: d2y/dx2... View Article

Evaluate the limit x tends to zerolog(1+5x) whole divided by x.

\(\begin{array}{l}\lim _{xto :0}\left(\frac{\ln \left(1+5xright)}{x}right)\end{array} \) Apply Lhospital rule, \(\begin{array}{l}=\lim _{xto :0}\left(\frac{\frac{5}{1+5x}}{1}right)\end{array} \) \(\begin{array}{l}=lim _{xto :0}\left(\frac{5}{1+5x}right)\end{array} \) Plug in the value... View Article

Find dy/dx of y=(tan x)^cot x + (cot x)^tan x.

Let y1=(tanx)^cotx Take log on both sides, logy1=cotx.logtanx diff.w.r.to x , get (1/y1)dy1/dx=cotx.(1/tanx).sec^2x+logtanx.(-cosec^2x) dy1/dx=(tanx)^cotx .cosec^2x[1- logtanx] let y2=(cotx)^tanx taking log... View Article

Find the derivative of tan^-1(cos x/1+sin x) with respect to sec^-1(x).

\(\begin{array}{l}text{Let,} u =\ tan^{- 1} \left( \frac{cos x}{1 + sin x} right)\end{array} \) \(\begin{array}{l}Let u = tan^{- 1} left[ tanleft(... View Article

What is the integration of modx?

A relation ‘f’ is called a function, if each element of a non-empty set X, has only one image or... View Article

Prove that cot x. cot 2x – cot 2x. cot3x – cot x. cot3x = 1.

cot x. cot 2x – cot 2x. cot3x – cot x. cot3x = 1. Proof Let us consider the LHS... View Article

Find the solution of the integral sin2x /sin⁴x +cos⁴x.

Answer: \(\begin{array}{l}\int \frac{sin2x}{sin^{4}x+cos^{4}x} dx\end{array} \) ⇒ \(\begin{array}{l}\int \frac{2sinx\,cosx}{cos^{4}x(\frac{sin^{4}x}{cos^{4}x}+1)} dx\end{array} \) ⇒ \(\begin{array}{l}2\int \frac{1}{cos^{2}x}\times\frac{sinx}{cosx}\times \frac{1} {(tan^{4}x+1)}dx\end{array} \) Since we know that... View Article

Suppose2,1=9 4, 2=185, 3=186, 3=27 then9,4= ?

Given that 2,1=9 4, 2=18 5, 3=18 6, 3=27 Find out We have to determine the value of 9,4 Solution In... View Article

In a test, an examinee either guesses or copies or knows that answer to a multiple-choice question which has four choices. The probability that he makes a guess is 1/3, and the probability that he copies is 1/6. The probability that his answer is correct, given the copied it, is 1/8. Find the probability that he knew the answer to the question, given that he answered it correctly.

The given questions contain few events and it can be solved by using Baye’s theorem Bayes Theorem Statement Let E1,... View Article

In a college of 300 students, every student reads 5 newspapers, and 60 students read every newspaper. The number of newspapers is ___.

Given According to the given details Number of students in the college= 300 Number of newspapers read by every student=... View Article

Explain the process of finding the orthocentre of a triangle and also mention the formula.

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides... View Article

Find the value of tan 15.

We have to determine the value of tan 15. Solution tan 15 can be expressed as given below Tan 15° =... View Article

If sin(A-B)=1/√10,cos(A+B)=2/√29 find tan2A where A and B lie btw 0 to pie by 4.

We know that sin (A + B) and cos (A – B) formulae We have to determine the value of... View Article

The set of all real numbers x for which x² – |x + 2| + x > 0 is (1). (-∞, -2) ∪ (2, ∞) (2). (-∞, -√2) ∪ (√2, ∞)(3). (-∞, -1) ∪ (1, ∞) (4). (√2, ∞)”

The condition given in the question is x2 – |x + 2| + x > 0 Two cases are possible:... View Article

«
1
…
4,640
4,641
4,642
4,643
4,644
…
5,472
»