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Question #e882e

Question #d14f6

If #{( x − 5) (x^2 − 2 x + 1)} / {( x − 7) (x^2 + 2 x + 3)}# is positive for all real value of x,show that x has no value between 5 and 7?

What is a nonzero k that makes the function continuous at x=0?
f(x) is #(tankx)/(x), x<0# and #3x+2k^2, x>=0#

How do you find the nth partial sum, determine whether the series converges and find the sum when it exists given #12+48+...+(2)^n+...#?

How do I find the inclination θ (in radians AND degrees) of the lines passing through the points? (√3, 1), (0, 2)

How do you evaluate the limit #sinx/(7x)# as x approaches #0#?

Find the sum of the 5th roots of unity?

How do I calculate the Real and Imaginary Parts of this equation?

Prove that the sum of 6 consecutive odd numbers is an even number?

What is the gradient of cos (xy)  3y^4 + 3 at point ( 1, pi/2) ?

How do you evaluate # e^( ( 13 pi)/4 i)  e^( ( 7 pi)/6 i)# using trigonometric functions?

Question #201ff

Let V=R³ and W={(x,y,z)x+y+z=0} be a subspace of V.Which of the following pairs of vectors are in the same coset of W in V?
(i)(1,3,2)and(2,2,2).(ii)(1,1,1)and(3,3,3).

A polynomial on division with #x2# and #2x1/2# leaves remainder 1 and 2 respectively. What would be remainder when polymial is divided by #(x2)(4x1)#?

What are the pointsof inflection of #f(x)=x^2  (27/x^2)#?

Define a *b=2(a+b)+2a, where a, b are any two number ,if 3*x=4 then x=?

Question #59f5a

Question #ec3c9

How do you differentiate y=(2+sinx)/(x+cosx)?

How do you evaluate #\int 5( 4 3x ) ^ { 6} d x#?