Answers edited by MattyMatty

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• How do you solve #z^4+z^2+1 = 0# ?
  
• How to show #f(x)=|x|# It is differentiable everywhere except at the point x = 0 ?
  
• In how many ways can the digits in the number 6759957 be arranged?
  
• 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#?
  
• 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#?
  
• If you roll a single die, what is the expected number of rolls necessary to roll every number once?
  
• 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?
  
• How to solve $$\int x^{4} (x^2+x+1)^{1/2}dx $$ ?
  
• 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#?
  
• How to use DeMoivre's Theorem to find the indicated power of (sqrt 3 - i)^6 ?
  
• Question #738f7
  
• Question #8e98f
  
• What is the general solution of the differential equation # y'''-y''+44y'-4=0 #?
  
• How do you factor 2x³−3x²−4x-4?
  
• How can i calculate the odds of a current passing in an electrical circuit in regards to a certain switch?
  
• A stone is dropped from a helicopter hovering at a constant height of 490m. How long before the stone reaches the ground?
  
• 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?
  
• 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?
  
• How do I solve this limit ?
  
• For the experiment of tossing a six sided die twice, what is the probability that the sum is odd or prime?
  
• 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?
  
• 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.
  
• Question #2cb93
  
• #2x^3+4x^2-13x+6# Can you factorise this please?
  
• 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?
  
• A catcher catches a baseball that is traveling 126km/h. If the ball stops within 0.230s, what is its acceleration?
  
• Question #6d6d5
  
• What is the probability that the deal of a five-card hand provides a pair of aces?
  
• 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?
  
• 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?
  
• 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 to solve that??#int_2^8|5-x|dx=?#
  
• 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?
  
• How to find the inverse function for a quadratic equation?
  
• How do you solve #81^x = 243^x + 2#?
  
• Question #c5675
  
• Find # int \ 1/(x^2 + x + 1) \ dx #?
  
• What is the empirical probability of flipping 4 coins and getting 4 tails?
  
• Question #96660
  
• 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#?
  
• How do you factor #3x ^ { 5} + 9x ^ { 4} - 6x# completely?
  
• Show that the solutions for #1 + z^4 + z^3 + 2 z^2 =0# obey the condition #absz = 1# ?
  
• 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?
  
• What is 0.5! And how do you find it (can it be found without calculus)?
  
• Question #12ac2
  
• Particle travels 10m in 5sec and 10m in 3sec assuming constant acceleration what is the distance travelled in next 2sec? Ans:8.3m
  
• Is the series #\sum_(n=0)^\infty1/((2n+1)!)# absolutely convergent, conditionally convergent or divergent?
  
• Could you show me some bijection between the #mathbb{R}-mathbb{Q}# and #mathbb{R}#?
  
• What is DeMoivre's theorem?
  
• How to find the probability for this question? (see details below)
  
• How do you factorize #20p + 15pq - 60q^2-80q# completely?
  
• What happens here?
  
• How are vapour pressure and boiling point inversely related?
  
• How do you solve a quadratic equation without using a formula?
  
• Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\4-1+1/4-1/16+1/64...#
  
• What is golden ratio?
  
• Question #5ac9e
  
• How do you find the limit (X-> 0) ? thank you
  
• Polynomials??
  
• Question #d8659
  
• How do you factor #x^4+2x^3y-3x^2y^2-4xy^3-y^4#?
  
• Given #a > 0, b > 0, c > 0# calculate the minimum for #(a^x+b^x+c^x)/3# ?
  
• Question #7ec9a
  
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