Answers edited by MattyMatty

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• How to show #f(x)=|x|# It is differentiable everywhere except at the point x = 0 ?
  
• What is golden ratio?
  
• Question #6d6d5
  
• 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)#?
  
• Why #lim_(x->oo) (sqrt(4x^2+x-1)-sqrt(x^2-7x+3)) = lim_(x->oo) (3x^2+8x-4)/(2x+...+x+...)=oo#?
  
• A catcher catches a baseball that is traveling 126km/h. If the ball stops within 0.230s, what is its acceleration?
  
• How to solve $$\int x^{4} (x^2+x+1)^{1/2}dx $$ ?
  
• If you roll a single die, what is the expected number of rolls necessary to roll every number once?
  
• How can i calculate the odds of a current passing in an electrical circuit in regards to a certain switch?
  
• A ball is thrown vertically downwards from a height of 20 m with a initial velocity v0. It colloids with the ground, loses 50 % of its energy in collision and rebounds to the same height. The initial velocity v0 is .....??? Please explain it briefly.
  
• What is DeMoivre's theorem?
  
• A boy has 20% chance of hitting at a target. Let p denote the probability of hitting the target for the first time at the nth trial. lf p satisfies the inequality 625p^2 - 175p + 12 <0 then value of n is?
  
• Is the series #\sum_(n=0)^\infty1/((2n+1)!)# absolutely convergent, conditionally convergent or divergent?
  
• How does the air resistance affects the graph of a free falling body?
  
• 10^m-10^n is always a factor of 9 if m and n are positive integers?
  
• How do you factor #3x ^ { 5} + 9x ^ { 4} - 6x# completely?
  
• How do you factor 2x³−3x²−4x-4?
  
• If #x^2 + x +1=0# find the value of #(x+1/x)^3 + (x^2+1/x^2)^3...(x^100+1/x^100)^3#?
  
• How do you find the limit (X-> 0) ? thank you
  
• A stone is dropped from a helicopter hovering at a constant height of 490m. How long before the stone reaches the ground?
  
• In how many ways can the digits in the number 6759957 be arranged?
  
• Polynomials??
  
• What is the probability that the deal of a five-card hand provides a pair of aces?
  
• If we want to approximate the value of #cos 20°# with a polynomial, what minimum degree must be the polynomial so that the error is less than #10^-3#?
  
• A fair coin is tossed 60 times. Using the normal approximation to the binomial distribution, what is the probability that a head will show between 30 and 36 times inclusive?
  
• Question #738f7
  
• What is the empirical probability of flipping 4 coins and getting 4 tails?
  
• Question #d8659
  
• Find # int \ 1/(x^2 + x + 1) \ dx #?
  
• A ball is dropped from a height of 100 m at t = 0. Later, at t = 1.00 s, a second ball is thrown downward with a speed of 19.8 m/s. At what time will the two balls be at the same height?
  
• Question #5ac9e
  
• A biology quiz consists of 14 multiple-choice questions. Nine must be answered correctly to receive a passing grade. If each question has 4 possible answers,what is the probability that a student who guesses at random will pass?
  
• Question #7ec9a
  
• How do you solve a quadratic equation without using a formula?
  
• A pharmaceutical company claims that a new drug is successful in relieving arthritic pain in 70% of patients. Suppose that the claim is correct. The drug is given to 10 patients. What is the probability that 8 or more patients experience pain relief?
  
• How do you factor #x^4+2x^3y-3x^2y^2-4xy^3-y^4#?
  
• A stone is dropped out of a balloon which is descending at #14.7 ms^-1# when the balloon is at an altitude of #49 m#. How long before the stone hits the ground?
  
• What happens here?
  
• How do you solve #81^x = 243^x + 2#?
  
• Question #12ac2
  
• A body of mass M is falling from a very high building. The drag force is given by F=kv^2 where k is a constant and v its velocity. How soon will it reach terminal velocity and what will the distance traversed be equal to?
  
• #2x^3+4x^2-13x+6# Can you factorise this please?
  
• For the experiment of tossing a six sided die twice, what is the probability that the sum is odd or prime?
  
• Show that the solutions for #1 + z^4 + z^3 + 2 z^2 =0# obey the condition #absz = 1# ?
  
• Question #8e98f
  
• How do you solve #z^4+z^2+1 = 0# ?
  
• Could you show me some bijection between the #mathbb{R}-mathbb{Q}# and #mathbb{R}#?
  
• How do I solve this limit ?
  
• How to use DeMoivre's Theorem to find the indicated power of (sqrt 3 - i)^6 ?
  
• Particle travels 10m in 5sec and 10m in 3sec assuming constant acceleration what is the distance travelled in next 2sec? Ans:8.3m
  
• 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?
  
• Given #a > 0, b > 0, c > 0# calculate the minimum for #(a^x+b^x+c^x)/3# ?
  
• How to find the inverse function for a quadratic equation?
  
• How do you factorize #20p + 15pq - 60q^2-80q# completely?
  
• How are vapour pressure and boiling point inversely related?
  
• How to find the probability for this question? (see details below)
  
• Question #2cb93
  
• The probability of A hitting a target is #2/3# and that of B is #4/5#. They both fire at the target. What is the probability that at best one of them hits the target? What is the probability that only one of them will hit the target?
  
• Question #96660
  
• Question #c5675
  
• What is the general solution of the differential equation # y'''-y''+44y'-4=0 #?
  
• What is 0.5! And how do you find it (can it be found without calculus)?
  
• How to solve that??#int_2^8|5-x|dx=?#
  
• Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\4-1+1/4-1/16+1/64...#
  
• What is the interval of convergence of #sum_{n=0}^{oo}[log_2(\frac{x+1}{x-2})]^n#? And what's the sum in #x=3#?
  
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