Math Answers

3+x² =-3

Solve the homogeneous differential equation 𝑥𝑦 𝑑𝑦/𝑑𝑥 = 𝑦² + 𝑥² 𝑑y/𝑑𝑥   .

Find the differential equation whose solution is 𝑦 = 𝐴𝑥 + 𝐵𝑥².

Find the inverse of the given function. Upload solution in next number.

Let f:R→R , f(x)= 4x + 3

a. f^-1 (y)= 

b. f^-1 (35) = 

c. f^-1 (-9) = 

Let f(x)=4 g(x)=-4x+6 h(x)=2x^2+8x -3 inner product <p,q>=p(-1) q(-1) + P(0)q(0). +p(1)q(1) .usw gramschmidt to determine orthonormal basis for subspace p2 spanned by polynomials f(x) g(x) h(x)

 2. Prove that g(x) = ( 3x + 1 ) / x has a root on [ - 1 , 1 ]

1. Prove that h(x) = x² - x - 6  has a root on [ -4 , 0 ]

Form a group of five students or five members of your Family. Get the height (in cm) of each member of the group. Use the properties in solving for the mean , variance and standard deviation of sampling distribution of the sample means.

a. Compute the population mean.

b. Complete the population variance.

c. Find the population standard deviation.

d. List all possible samples of size 2 which can be drawn with replacement and their corresponding means.

e. Construct the sampling distribution of the sample means.

f. Find the mean of the sampling distribution of means.

g. Find the mean of the sampling distribution of means.

h. Find the standard deviation of the sampling distribution.

Draw the normal curve that represent with the z=1 and z=2

Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights, airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time rates are 80%, 65%, and 40%, respectively. 

A plane has just left on time. What is the probability that it was airline ‘Amira’?