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Include all relevant work please. 24. Solve the following for r. Give simplified exact values and...
help with questions 1-4 Show all work - give exact simplified values for all answers For questions 1 and 2, algebraically find the given limit, if it exists. (8 pts each) 1. 3x 2. 4x2 - 9x - 9 lim lim *4- x2 + 9 *23 2x3 - 7x2 +9 3. (8 pts) Differentiate the given function. Completely factor your final answer. y = 7e-*cos x 4. (9 pts) Find the equation of the tangent line to the graph of...
Include all relevant work please. s. Consider f(x) = *** a. Find the domain. [3] b. Find any vertical asymptotes. [3] c. Determine if there are any holes. If so, give the coordinates of the hole. [2] d. Find any horizontal or oblique asymptotes. [3] e. Determine if the graph intersects a horizontal/oblique asymptote, if it exists. Show work! [3] f. Sketch a graph of the function. To receive full credit, label any x and y intercepts and the asymptotes....
Include all relevant work please. 9. Consider the inequality: *** > 0 a. Find any critical values. [2] b. Use the critical value(s) to break up the number line into test regions to solve the inequality. Give the solution in interval notation. b. [3]
Show ALL Work c), x+16% +63 = 0 D. Please Solve for x. For some problems, tell which results are the only solutions; or if there is no solution. a). .010.2x +.8)=.005% -1 b). {1x+5) = $ (3x +27) d) x ² 48²_9x+36=0 e). √x+21=8 f). Ý3x-9 =-6 g). √x+6 = x-6 h), biz * * -- I), X J. 1 3 3x - 1 + 1 = 2 / 4 K). 16 = 8 2x-1 2). 2 9 +...
1. Complete the table below for f(x)=3". Use exact values. No work needed. [1.25 points) - 101 y = f(x) 2. Consider the functions gtx)=(13)" and h(x) =--() +4 12.5,1.25, 1.5 points) a) The points given below (in the first column) belong to g(x)= - Perform two b) Use the point found in part a) to sketch a graph of y=h(x). Include the horizontal asymptote as a dashed line. Approximate point placement where necessary. transformations (and show how the points...
Include all relevant work please. 22.Using the function f(x) = 2x3 - 3x2 - 18x - 8. Use your graphing calculator to help you. a. List the potential rational zeros. [2] P 9 b. Find one rational zero of f(x) using synthetic division. b. One rational zero [3] c. Rewrite f(x) using the Division Algorithm after finding one rational zero. c. f(x) = [2] d. Find all zeros of f(x). (Do not get them by graphing on your calculator!) Show...
4. [25 points) Solve each of the following definite and indefinite integrals. Show all of your work for full credit. For definite integrals, leave numerical answers in exact form (without rounding). Please double-check to make sure you copy the problems correctly, as minor typos could change the difficulty of these substantially. a. 1(413 – 1/3 + 1)dt b. Syndx c. S x cos(3x) dx d. S 6x sin(3x) dx e. 2y In y dy
Consider the following when r = 3 cm. Give both exact values and approximations to the nearest hundredth. (a) Find the circumference of the figure. cm XC cm X (b) Find the area of the figure. cm? X x cm?
Will upvote/rate! Please show all work :) 3. Hogwarts Counting Practice Please give your answers as an exact unsimplified formula, and as a probability rounded to four decimal places At Hogwarts School of Witchcraft and Wizardry, incoming students are each as- signed to join one of the four houses: Gryffindor, Hufflepuff, Ravenclaw, and Sl there are 24 incoming students, including Harry, Ron, and ytherin. Suppose Hermione. All 24 incoming students get called up one at a time to wear a...
Show all work please. 3.a Simplify the expression A + B + CB To receive credit, on each line you MUST include the simplification of one operator and the rule/reason that allowed you to move from the previous line to the current line (Note: add lines as needed, do not assume that the given number of steps is what you will need.) Expression Reason Original Expression A+B CB 3.b Draw a circuit diagram for A + B + CB Use...