MATH 107 Quiz 4MATH 107_SU21 QUIZ 4 Name:_ Jonathan Russe____ Date:_7/24/2021_ Please show your work for all problems, and express your answers using exact values. Express fractions in simplest form, including rationalizing all denominators. Write complex numbers in the form 𝑎 + 𝑏𝑖. Problem/Solution 1 score Find all real and non-real solutions. a) (𝑥 2 − 1)(3𝑥 − 2) = 𝑥(𝑥 + 1)(𝑥 − 2) […]

The plot below represents the function f(x):5 4 3 2 11 -5 -4 -3 -2 -1 1 2 3 4 5 1 2 -3 -4 -5 q 이 Evaluate f(1): f(1) = Question Help: Video Submit Question The plot below represents the function f(x): 8+ 7 6 5 4 3 1 1 2 3 4 5 -5 -4 -3 -2 -1 – 1 -2+ Evaluate […]

Week 6 Extra Credit (#01-#10) A gardener wants to rabbit-proof her flower beds using fencing. She purchases 100 ft of fencing. 01) What rectangular area can she fence off if she wants the length of the bed to be 3 times the width? 02) If she wants to maximize the rectangular area that is fenced off, what dimensions should she use for the bed? What […]

The height y (in feet) of a ball thrown by a child is1 y -X2 + 6x + 5 where x is the horizontal distance in feet from the point at which the ball is thrown. = 16 (a) How high is the ball when it leaves the child’s hand? feet (b) What is the maximum height of the ball? feet (C) How far from […]

Given the following functions, evaluate each of the following: f(x) = x2 – 2x – 8 g(2) = x – 4 (f +9)(-3) = (f-9)( – 4) = (fºg)(4) = = (9) ( – 5) = = Function Operations Given the functions: f(x) = 5x g(x) = 2x + 9 h(x) = 12×2 + 46% 36 Determine each of the following. Give your answers as […]

Solve the equation: 722 + 4z – 2 = 0. Fully simplify all answers, including non-real solutions. z = Maytection Consider the parabola given by the equation: f(x) 4×2 + 12x + 15 – Find the following for this parabola: A) The vertex: B) The vertical intercept is the point C) Find the coordinates of the two X -intercepts of the parabola and write them […]

Select all of the following tables which represent y as a function of x. х 2 y y 2 у -2 -1 -4 -2 -1 -4 0 عل | ب | ب | m 2 3 NON 2 4. –00 3 6 000 – – VON 7 8 9 2 16 15 14 15 14 The plot below represents the function f(x) 8+ 7 6 […]

Given the following functions, evaluate each of the following:f(x) = x2 – 4 g(x) = x + 2 (f + g)(2) = (f – g)(-2) = (fºg)( – 4) = () (-3) = Function Operations Given the functions: f(2) = 2x g(x) = 2x 3 h(x) = 10.2 17x + 3 Determine each of the following. Give your answers as simplified expressions written in descending […]

Solve the equation: 3m2 + 4m + 9 = 0. Fully simplify all answers, including non-real solutions. m = Consider the parabola given by the equation: f(x) = 4×2 – 10x – 7 Find the following for this parabola: A) The vertex: B) The vertical intercept is the point C) Find the coordinates of the two x -intercepts of the parabola and write them as […]

MCV 4UName ______________________________ ASSIGNMENTT DERIVATIVES EXPO TRIG____/33 Part 1 – Multiple Choice [1 mark each] _____ 1. 𝑙𝑜𝑔𝑒 𝑝 is the same as a) 𝑙𝑜𝑔𝑒 𝑝 b) 𝑝𝑒 c) 𝑒 𝑝 d) 𝑙𝑛𝑝 e) none of these _____ 2. If 𝑓(𝑥) = 𝑠𝑖𝑛3 ⁡(6𝑡), then the derivative of f(x) is a) 18𝑠𝑖𝑛(6t) cos(6t)⁡⁡⁡⁡⁡⁡⁡⁡⁡⁡b) 3𝑠𝑖𝑛2 (6t) c) 18𝑠𝑖𝑛2 (6t)cos⁡(6t) d) −𝑠𝑖𝑛2 (6t)t e) none of these […]