Which of the next polynomials are quadratics relative to variable x? Hint: Get each of them...
assign 11 105: Problem 9 Previous Problem Problem List Next Problem (1 point) Let P2 denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C (-3,-1- 3x,-1 + 2x - 3x2] be an ordered basis for P2 a. Write 23x -9x2 as a linear combination of elements from the basis C 2+3x-9x2- (-1 + 2x - 3x2) b. Let [glc denote the coordinate representation of q relative to the...
Let S = {1 + 3x, 1 − 5x2}. Which of the following polynomials could be added to the set S to form a basis for P2? (i) 2 + 3x − 6x2 (ii) 4 + 3x − 16x2 (iii) 9 + 15x − 21x2 (A) all of them (B) (i) and (ii) only (C) (i) and (iii) only (D) (ii) and (iii) only (E) none of them (F) (i) only (G) (ii) only (H) (iii) only
Let S = {1 + 3x, 1 − 5x2}. Which of the following polynomials could be added to the set S to form a basis for P2? (i) 2 + 3x − 6x2 (ii) 4 + 3x − 16x2 (iii) 9 + 15x − 21x2 (A) all of them (B) (i) and (ii) only (C) (i) and (iii) only (D) (ii) and (iii) only (E) none of them (F) (i) only (G) (ii) only (H) (iii) only
A polynomial p(x) is an expression in variable x which is in the form axn + bxn-1 + …. + jx + k, where a, b, …, j, k are real numbers, and n is a non-negative integer. n is called the degree of polynomial. Every term in a polynomial consists of a coefficient and an exponent. For example, for the first term axn, a is the coefficient and n is the exponent. This assignment is about representing and computing...
1a) For which operations are the polynomials closed (i.e. if the operands are polynomials, the result will also be polynomial) Multiple answers:You can select more than one option A Addition B Subtraction C Multiplication D Division E Exponentiation F Composition 1b) Which of the following "Millenium Problems" is now considered solved? A Yang–Mills and Mass Gap B Riemann Hypothesis C P vs NP Problem D Navier–Stokes Equation E Hodge Conjecture F Poincaré Conjecture G Birch and Swinnerton-Dyer Conjecture 1c) Which...
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2) Find the x coordinates of all relative extreme points of f(x)÷4÷3 1 4.2.3.3,2+4 2+4 2) A) x--3,1 B)x=0 C)x=-3, 0, 1 D) x-1, 0.3 E) x-1.3 3) Find the x coordinates of all relative extreme points of fo) 4-33-6x2-1 ints of f(x)- 4- 3-6x2-1 3) A) x2, 0,3 B)x 0 C)x=-2.3 D) x--3,2 E) x--3,0,2 4) Find the relative minimum point(s) of fx)x35x2-10. 4) A) (0, f(o)) B) (-2, f(-2)) and (5, f(5)) C) (-2, f(-2)) and (0,...
Let X be the random variable whose probability density function is f(x) = ce−5x , if x > 0 f(x)=0, if otherwise (a) Find c. (b) Find P(1 ≤ 2X − 1 ≤ 9). (c) Find F(2) where F denotes the c.d.f. of X. (d) Write an equation to find E[3X2 + 15]. You do not have to evaluate it.
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema. f(x)= x3-3x2 9x-1 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. The function has a relative maximum of (Use a comma to separate answers as needed.) B. There are no relative minima. The function has a relative maximum of (Use a comma to separate answers as needed.) O C. There...
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H3. Let W1 = {ax? + bx² + 25x + a : a, b e R}. (a) Prove that W is a subspace of P3(R). (b) Find a basis for W. (c) Find all pairs (a,b) of real numbers for which the subspace W2 = Span {x} + ax + 1, 3x + 1, x + x} satisfies dim(W. + W2) = 3 and dim(Win W2) = 1. H3. (a) Use Theorem 1.8.1. (b) Let p(x) = ax +...
3. Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. XP(x) 0 0.027 1 0.154 0.319 3 0.319 4 0.154 5 0.027 21 Does the table show...