When First Order Derivative Is Positive Then Function Is
If the first derivative of a function is positive, then the graph of the function lies above the x-axis. Negative... View Article
Latest Posts
What Wavelength Looks Like
Wavelength is the distance between identical points in the adjacent cycles of crests of a wave. Below figure shows the... View Article
How Do You Find The Y Intercept With 2 Points
Let (x1, y1) and (x2, y2) be the two given points. Slope of the line passing through the given points... View Article
What Are Aryl And Alkyl Groups
Aryl group is a simple, fragrant compound in which one hydrogen atom is detached from the ring and allows it... View Article
Is Wood Elastic
In general, wood is recognised as an anisotropic material. However, in engineering elastic model terms, wood is considered as an... View Article
Which Is More Ionic Nacl Or Kcl
KCl is more ionic because the ionic character increases as down the group while decreases along the period in the... View Article
What Are The Two Main Conditions For Equilibrium
The two main conditions for equilibrium are given below: The first condition is that the net force on the object... View Article
How Do You Find The Principal Argument
A complex number z = x + iy can be written in polar form z = reiθ that means z... View Article
How Long Will An Amount Of Money Double At A Simple Interest Rate Of 2 Percent Per Annum
Let P be the principal amount of money. Given that the rate of interest si 2%, i.e. R = 2%... View Article
If The Sequence An Is In Gp Such That A4 A6 1 4 And A2 A5 216 Then A1 Is Equal To
If the sequence {an} is in GP, such that a4/a6= 1/ 4 and a2 + a5 = 216, then a1... View Article
Sigma 1 To Infinity 1 Plus A A Square R Factorial
sigma 1 to infinity (1+a+a2+…ar-1)/r! Solution: ∑r = 1∞ (1+a+a2+…ar-1)/r! = ∑r = 1∞ 1(ar-1)/(a-1)r! = (1/(a-1))[∑r = 1∞ ar/r!... View Article
Suppose A B And C Are In Ap And A2 B2 And C2 Are In Gp If A Less Than B Less Than C Then The Value Of A Is
Solution: Let a = x-d b = x c = x+d a+b+c = x-d+x+x+d = 3x = 3/2 ( Given... View Article
The Sum Of 02 Plus 022 Plus 0222 To N Terms Is Equal To
Solution: Given series 0.2 + 0.22 + 0.222 + …to n => (2/10)+(22/100)+(222/1000)+….n terms = 2(0.1+0.11+0.111+… n terms) Multiply and... View Article
Which Term Of The Series Root 2 2 By 3 2 Root 2 By 9 Is 16 2187
Solution: Given √2, 2/3, 2√2/9,… is 16/2187 This is a GP with a = √2 r = √2/3 The nth... View Article
The Sum Of First Three Terms Of A Gp Is 7 By 9 And Their Product Is 8 By 27 Find The Common Ratio Of The Series
Solution: Let a/r, a, ar be the first three terms of GP Given sum = 7/9 and product = -8/27... View Article
If A B And C Are Positive Numbers In A Gp Then The Roots Of The Quadratic Equation Log Are
If a, b and c are positive numbers in a GP, then the roots of the quadratic equation (loge a)x2... View Article
Consider An Infinite Geometric Series With First Term A And Common Ratio R If The Sum Is 4 And The Second Term Is 3 By 4 Then
Solution: Given sum of infinite geometric series = 4 a/(1-r) = 4 ..(i) Second term = 3/4 So ar =... View Article
If Ln A Plus C Ln A C Ln A 2b Plus C Are In Ap Then
Solution: Given ln(a + c), ln (a – c), ln (a – 2b + c) are in A.P 2 ln(c-a)... View Article
If X Y And Z In Ap Then 1 By Root X Plus Root Y Are In
Solution: Given x,y,z are in AP. y-x = z-y x-y = y-z Taking reciprocal 1/(x-y) = 1/(y-z) Rearranging we get... View Article
If A B And C Are In Ap Then Which One Of The Following Is Not True
Solution: Given a,b,c are in AP Check the options. If a2, b2, c2 are in AP, then b2-a2 = c2-b2... View Article
