7.2. Express the following polynomial in the correct form for evaluation by Horner's method: p(t) 5t3-3t2...
Evaluation Type Problems (Need to show all work!) 11. Let of v(t) = 3t2 +t-1 a. Write the leading term. b. Write the leading coefficient. c. Write the degree of the polynomial. d. Write vſt) in vertex form (no decimals). e. Find the vertical intercept and write it as an ordered pair. f. Find the horizontal intercept(s). g. Write v(t) in factored form. h. Sketch a "good enough" graph by hand (do not use any technology)
5. Express the following polynomial function in factored form: (3 marks) P(x) = 2x+ + 5x3 – 5x2 – 20x – 12
Consider the function f(x) := v/x= x1/2. 6. (a) Give the Taylor polynomial P(x) of degree 5 about a1 of this function (b) Give the nested representation of the polynomial Qs()Ps((t)) where t -1 ((t)+1). (c) Using the nested multiplication method (also called Horner's algorithm), compute the approximation Ps (1.2) to V (give at least 12 significant digits of P(1.2)) (d) Without using the exact value of 12, compute by hand an upper bound on the absolute error V1.2 A(1.21...
Let Ps have the inner product given by evaluation at -2, -1, 1, and 2. Let po(t)-1. P,()-t, and p20)- a. Compute the orthogonal projection of p2 onto the subspace spanned by Po and P1 b. Find a polynomial q that is orthogonal to Po and p,, such that Po P is an orthogonal basis for Span(Po P1, P2). Scale the polynomial q so that its vector of values at a2(Simplify your answer.) Let Ps have the inner product given...
In each of the following, a polynomial P(x) and a divisor d(x) are given. Divide to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and express P(x) in the form dx) *Q(x) = R(x). 30. P(x) = x3 - 8 d(x) = x + 2 31. P(x) = x + 6x2 - 25x + 18 d(x) = x + 9
Write a polynomial, P(x), in factored form given the following requirements • Degree: 3 • Zeros at (8,0), (2.0), and (-5.0) • intercept at (0,80), Provide your answer below: P(x) = 0
Express the confidence interval 0.49p<0.55 in the form of p t E SELECT ALL APPLICABLE CHOICES A) B) 0.53 ± 0.03 0.53 ± 0.05 C) D) 0.52士0.05 0.52士0.03 E) F) None of These 0.52 ± 0.04
23. Express the confidence interval 0.54<p<0.6 in the form P+E 24. How does this survey appear to be flawed? How could you design the survey so that it is not flawed? Express the confidence interval using the indicated format. Points: 5 23) Express the confidence interval 0.54 < p < 0.6 in the form of pt E. Show work below. A) 0.57 0.06 B) 0.54 0.03 C) 0.54 0.06 D) 0.57 0.03 Use critical thinking to determine whether the sampling...
General form: Z(V)=0.5692-(4.50x10^(-4)T) -(9.5x10^(-6)(T^2)) The polynomial regression of the potential of a certain cell as a function of T (Celsius) has the following general form. DetermineAG, AH and AS at 25Celsius and explain if the reaction occurring in said cell is spontaneous. Electrochemistry of a cell ADE UNA CELDA n polinómica del potencial de cierta celda como función de TC C tiene la n que ocurre en dicha celda es espontánea. o puntos) forma general: r(V) = 0.5692-4.50 x 1。T....
question starts with P(x) = -2x^3(x-1)(2x^2+1). I was then supposed to express the polynomial in general form and got -4x^6 + 4x^5 - 2x^4 + 2x^3. Then asked to determine the left and right end behavior which I did. What I'm suck on is the final part which is "Find the x-intercepts, if any.". I know im supposed to set y to zero, but I cant figure this one out. I cant find out how to factor it, im stuck....