Answers created by MattyMatty

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• How do you use the definition of a derivative to find the derivative of #f(x)=x^3-2x^2+5x-6#?
  
• #(1+x+x^2+cdots+x^12)^3 = 1+cdots+ Ax^12# find A =?
  
• Is there any easy to solve this sigma question Find the sum of 1^8 +2^8 +3^8 +4^8+......to n terms? I tried by taking (n+1)^9 -(n) ^9 but that method is too long. Please anybody suggest easier and short method.
  
• What is the largest number of zeroes that can occur at the end of #1^n+2^n+3^n+4^n# for any positive integer n?
  
• A and B plays a game by flipping a fair coin where the first person to obtain a head wins.If A flip first and the probability A wins is equal to the probability B wins, how to show the coin is biased and determine the probability of obtaining head?
  
• How to find the fractional notation for the given infinite sum below? #0.bar17# = #17/100# + #17/10000# + #17/10000000# +.....
  
• Prove that the quadratic equation x^2 + (m+5)x +5m=0 has real roots for all values of m?
  
• A baseball is thrown at an angle of 25º relative to the ground at a speed of 23.0 m/s. If the ball is caught 42.0 m from where it is thrown, how long was it in the air?
  
• How can i calculate p(x,y)? (details inside)
  
• How can i find the correlation cofactor? (details inside)
  
• How can i complete finding the conditional probability function? (details inside)
  
• Given g(x) = x^99 + 100x^15 + 1557x^12 + 11548x^5 + 123456, what is the 100th derivative of g(x)?
  
• How can i find the moment generating function in the given question(?very important for an upcoming test)
  
• How can i find the the mean and variance of drawing cards? (details inside)
  
• How can i calculate the mean and variance of Y? (details inside, tricky)
  
• How do you factor #8x^5+28x^4+12x# completely?
  
• A body moving with uniform acceleration Travels 84 metre in the first 6 second and 180 m in the next 5 seconds. find: (a) the initial velocity ,and (b) the acceleration of the body ?
  
• 4x^3-4x^2+11x-6 how to solve factors?
  
• How to solve #2cos^2x+5cosx+2>=0# ?
  
• How do i calculate the following properties of waiting time for bus? (almost finished, very urgent to me)
  
• How can i calculate the probability of obtaining a building permit?(really urgent for an upcoming test)
  
• Find #f# ?
  
• How do you find the limit #(x+x^-1)/(1+sqrt(1-x))# as #x->-oo#?
  
• Whole root 5+2√6 valu will be,??
  
• It is known that objects of different mass will fall at the same speed bit of you drop a feather and coconut the coconut will fall faster.Why?
  
• If#2m^2=p^2# Prove that #2#is a factor of #p#?
  
• There are 30 days in June. 5 students have their birthdays in June. Birthdays are independent of each other and all dates equally likely. What is the probability that at least 2 students have the same birthday?
  
• Calculate the time taken for a car to cover a distance of 100m if the initial speed is 10km/h and it has a constant acceleration of 1.5m/s2?
  
• Does #a_n=x^n/n^x # converge for any x?
  
• How do you calculate # cos(tan^-1(3/4))#?
  
• How can i calculate the following statistics of engine life-span expectancy? (statistics, would really appreciate help with this)
  
• X^6 - 3x^4 +3x^2 -1 ? How to factor this easy?
  
• What is the equation of the line tangent at x = 1?
  
• What is the range of cos^2x-cosx+1?
  
• #0.000254v^3+v^2+388v+2600 = 0# What are the solutions of #v#?
  
• If #a/b - b/a =3# Then what is the value of #a^3/b^3 + b^3/a^3#?
  
• A plane is flying horizontally at a height 1.5 km from the ground with a velocity 200m/s when it is just above a anti airgun at that moment a bullet is thrown from it with velocity400m/s.find the angle of projection of bullet to crush the plane?
  
• How do you verify #cot(x)/sin(x)-tan(x)/cos(x)=csc(x)sec(x)1/(sin(x)+cos(x))# ?
  
• Andrew can paint the​ neighbor's house 3 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 7 days. How long would it take each to paint the​ house?
  
• Find #d/dx x^(x^x) #?
  
• How can I prove that #e^(1/n) <= n/(n-1)# for every #n>=2# ?
  
• If a=2^p * 3^q * 5^r and b =p^2 * q^3 * r^5 where p,q and r are primes, find the value of p+q+r, given a=b ?
  
• A bag contains 15 balls. 9 white , 4 black and 2 green. a)We pick 7 balls. Whats the probability that the balls color ratio will be the same as in the bag ?
  
• How could I prove this? Would this be using a theorem from real analysis?
  
• Transcendental function as power series?
  
• Why k mustn't be equal to 1 to use this formula? #int1/sqrt(x^2 + k) = ln|x + sqrt(x^2 + k)|#
  
• What is the slope of the line that is perpendicular to the line that passes through (-3, 6) and (6, 8)?
  
• A shell fired from a gun has a horizontal range of 1200 m and a flight time of 10 s. What is the magnitude and direction of the velocity of projection?
  
• A particle P moves in a straight line starting from point O with velocity #2#m/s the acceleration of P at time t after leaving O is #2*t^(2/3)# m/s^2 Show that #t^(5/3)=5/6# When velocity of P is #3#m/s?
  
• Does #sin^2theta-cos^2theta=1-2sin^2theta#?
  
• How to prove that #(2cos^3theta-costheta)/(sinthetacos^2theta-sin^3theta)=cottheta# ?
  
• Of all registered automobiles in a certain state. 10% violate the state emissions standard. Twelve automobiles are selected at random to undergo an emission test. How to find the probability that exactly three of them violate the standard?
  
• What is the probability of winning in the following infinitely repeated game?
  
• If X is a random variable such that E#(X^2)# = E(X) = 1, then what is E#(X^100)# ?
  
• If you roll a single die, what is the expected number of rolls necessary to roll every number once?
  
• How to solve that??#int_2^8|5-x|dx=?#
  
• How do you simplify #(1-cos^4x-sin^4x)/(sin^4x-2sin^2x+1)#?
  
• How can i calculate the following statistics inside a round area of meteors fall(tricky question)? (details inside)
  
• How can i calculate the odds of a current passing in an electrical circuit in regards to a certain switch?
  
• How can i calculate the given events? (details inside, a bit complicated for me)
  
• How do you solve #4x^3 -17x^2 -4 = 0# ?
  
• If #a^3 + 3a^2 + 9a = 1#, then what is the value of #a^3 + (3/a)#?
  
• How can I find the following properties of 2 dice thrown? (details inside)
  
• How to find the probability for this question? (see details below)
  
• A secretary introduces 9 letters in 9 envelopes. Let X be the random variable representing the number of letters that entered the correct envelope. How you find #E(X)# and #var(X)#?
  
• A die is rolled 8 times. What is the probability of getting exactly three 6's?
  
• There are 5 blue crayons, 7 yellow crayons, and 8 red crayons. in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons?
  
• In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?
  
• A coin is tossed 14 times. What is the probability of getting heads exactly 5 times?
  
• How to convert 70 degrees into radians?
  
• A particle's acceleration along a straight line is given by #a(t)=48t^2+2t+6# . It's initial velocity is equal to -3cm/s and its initial position is 1 cm. Find its position function s(t). Answer is #s(t)=4t^4+1/3t^3+3t^2-3t+1# but I can't it figure out?
  
• What is golden ratio?
  
• How do you solve #ln(x+12) - ln(x-2)=ln(x+1)-ln(x+11)#?
  
• A fair coin is tossed 20 times. What is the probability of getting at most 18 heads??
  
• I am bad at probability questions. Please help me?
  
• How do you prove that for all values of #n/p,n!=kp,kinRR#, where p is any prime number that isn't 2 or 5, gives a recurring decimal?
  
• How do you factor #x^2-y^2-x+y#?
  
• The probability that a student Mr.x passes Mathematics is 2/3, the probability that he passes statistics is 4/9. if the probability of passing at least one subject is 4/5, what is the probability that Mr.X will pass both the subject?
  
• Is the sequence #a_n=(1+3/n)^(4n)# convergent or divergent?
  
• Is the series #\sum_(n=0)^\infty1/((2n+1)!)# absolutely convergent, conditionally convergent or divergent?
  
• Particle travels 10m in 5sec and 10m in 3sec assuming constant acceleration what is the distance travelled in next 2sec? Ans:8.3m
  
• Help please?
  
• Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\4-1+1/4-1/16+1/64...#
  
• How can i know how to calculate the odds of a current passing in an electrical circuit?
  
• How do you multiply matrices of different sizes?
  
• How do I solve this limit ?
  
• A woman on a bike accelerates from rest at a constant rate for 10 seconds, until the bike is moving at 20m/s. She maintains this speed for 30 seconds, then applies the brakes to decelerate at a constant rate. The bike comes to a stop 5 seconds later.help?
  
• Find one rational and irrational number between 2 and 3?
  
• #2x^3+4x^2-13x+6# Can you factorise this please?
  
• In which distributions does the variable X have a binomial distribution?
  
• A bag contains tickets numbered 1 to 30.Three tickets are drawn at random from the bag.Find the probability that the maximum number on the selected tickets exceeds 25?
  
• Help me to solve this problem please? I really need help to solve about joint probability mass function..
  
• How to solve x^4-2x^3-13x^2+14x+24=0?
  
• How do you factor #108m^3 - 500#?
  
• #f(x)=3x^3-6x^2+9x+6# #f(x_1)=f(x_2)=f(x_3)=0# #x_1^2+x_2^2+x_3^2=?# result = 3 but how to find that ?
  
• what is limit of #x*log((1+e^x)/((-1)+e^x)))# as #x# approaches infinity ??
  
• How to solve $$\int x^{4} (x^2+x+1)^{1/2}dx $$ ?
  
• What happens here?
  
• Can somebody explain complex number to me? For example these kinds of problems: Is 5i a solution to 6= x(squared) +23
  
• How to find the inverse function for a quadratic equation?
  
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