Math Answers

Show that e^x Cosy is Harmonic, find its Conjugate harmonic function.

Find the general solution of the Lagrange's equation 2yzp + zxq = 3xy

y=1/3 √(x)-4

Survey tests on leadership skills and on self-concept were administered to student-leaders. Both tests use a 10 point Likert Scale with 10 indicating the highest score for each test. Predict the leadership skill of a student leader whose self-concept skill is 1.5. Scores for the student-leaders on the tests follow

Student Code A B C D E F G H I J

Self-concept 9.5 9.2 6.3 4.1 5.4 8.3 7.8 6.8 5.6 7.1

Leadership Skill 9.2 8.8 7.3 3.4 6.0 7.8 8.8 7.0 6.5 8.3

A builder has 2400 feed of barrier and wants to barricade off a rectangular ground that borderlands a straight water flow. No barrier is required along the entire length of the water flow.

Find the dimension of the ground that has the largest area

find the value of k for which the following equation has two equal roots.

(k+2)x^2+4k=(4k+2)x

The cost of 6 meters of ribbon is $15. How much ribbon could you buy for $20

Find the mean of the probability distribution

of random variable X, which can take only the

values

3, 5. and 7, given that P(3)=7/30, P(5)=10/30

and P(7)=13/30.

Evaluate the integral using residue theorem ∫sin(3x)/(5-3cos(x)) where limits of integration are from zero to 2π.

A taut string of length 2l , fastened at both ends, is disturbed from its position of equilibrium by imparting to each of its points on an initial velocity of magnitude k(2lx-x^2). Find the displacement function y(x,t)