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How do you use the definition of a derivative to find the derivative of #f(x)=x^32x^2+5x6#?

#(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^34x^2+11x6 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(1x))# 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 lifespan 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^2xcosx+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/(n1)# 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) = lnx + 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^2thetacos^2theta=12sin^2theta#?

How to prove that #(2cos^3thetacostheta)/(sinthetacos^2thetasin^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_2^85xdx=?#

How do you simplify #(1cos^4xsin^4x)/(sin^4x2sin^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^23t+1# but I can't it figure out?

What is golden ratio?

How do you solve #ln(x+12)  ln(x2)=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^2y^2x+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\41+1/41/16+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^213x+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^42x^313x^2+14x+24=0?

How do you factor #108m^3  500#?

#f(x)=3x^36x^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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