Calculus

Limits & Continuity Solutions

Use the graph of the function g shown to estimate the indicated limits and the function value. Complete parts (A) through (D). (A) Find the limit lim x→2 g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim x→2 g(x)= (Type an integer.) B. The limit does not exist.

Use the graph of the function g shown to estimate the indicated limits and the function value. Complete parts (A) through (D). (C) Find the limit lim g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

There were 636 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed. Number of students who passed Number of students who failed

Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞ where appropriate. lim X→∞ 9x+5/2x - 3 Select the correct choice below and, if necessary, fill in any answer boxes in your choice. A. lim X→∞ 9x+5/2x - 3 = (Simplify your answer.) B. The limit does not exist and is neither - ∞ nor ∞.

Find each function value and limit. Use - ∞ or ∞o where appropriate. f(x) = 3x³-6x²/6x⁴+3 (A) f(-6) (B) f(- 12) (C) lim x→∞ f(x) (A) f(-6)= (Round to the nearest thousandth as needed.) (B) f(-12) = (Round to the nearest thousandth as needed.) (C) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Solve by any method. 6x - 8y = -0.6 3x + 2y = 0.9

A cell phone factory has a cost of production C (x) = 170x + 31900 and revenue function R(x) = 280x. What are the coordinates of the break-even point? x= Y =

Solve by substitution. Give the solution as an ordered pair. 5x + 2y = 11 6x +12y = 42

Without solving, determine whether the ordered pair (-3,-3) is a solution to the system of equations. Click either "Solution" or "Not Solution" to enter your choice then click "Enter Step" to submit your answer. 3x + 3y = -18 4x + 8y = -36

If no solution exists, enter "NS". X= y =

Solve the system and give the coordinates of the solution. 0.3x + 0.2y = 1.5 0.35x - 0.3y = 0.15 If no solution exists, enter "NS". x = y =

Find the parametric equations that define the curve shown. x=-2t-1, y = -t+1;0≤t≤2 x=2t-1, y = -t+1;0≤t≤2 x=-2t-1, y =t+1;0≤t≤3 x=2t-1, y = -t + 1;0≤t≤3

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