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If p2(x) = ax2 + bx + c be a polynomial and T : p2 −→ p2 be a linear transformation given by T(p) = p(2x+1). For the basis for p2 as u = (1,x,x2). Is T diagonalizable, if yes diagonalize this transformation.
) Give an example to show that if the convergence of an is conditional and (bn) is a bounded
∞
sequence, then anbn may diverge.
Give an example of a convergent series an such that a2n is not convergent
E xplain the general m otion of a Sim ple P endulum .
A Pumpkin gets launched into the air from a cliff above a pond. The following equation represents the height of the pumpkin from the pond, h(t)=−16t2+56t+32where t is time in seconds. What is the maximum height the pumpkin reaches?
Peter made 250% profit on the sale of his bicycle. Is this possible?
Suppose a population consists of the number 97,89,98,93,95,97,97,90,60,94 construct a sampling distribution of all possible samples of size 3 from the population.
The Mathematics Club of the Ohio Science High School has six members. How many ways can this club select a president and secretary assuming that all members are eligible but no one can hold both positions?
Determine whether the polynomial x²+2y²+4xy+2yz+6xz is a quadratic form and if so write it in the form X^T AX, where A is a symmetric matrix.
Question #333210
. ACTIVITY 1. Use the ANOVA to show if there is significant difference among the sales of the three candidates for promotion.
Sales of three candidates for promotion.
A B C
12450 16500 12800
12100 13300 16500
11200 11400 18000
15000 12500 11900
13000 14600 28300
15400 14580 12200
11400 11200 19000
15100 15300 19000
15600 18000 55000
∑𝐴 = ∑𝐴² =
∑𝐵 = ∑𝐵² =
∑𝐶 = ∑
