Basic Math question and answers for August 24, 2024
- Q Find the x-value of the removable discontinuity of the function.Consider the graph of the function f(x) = x - 121/x+x-132Provide your answer below:The removable discontinuity occurs at x ==
- Q Consider the following function:f(x)= x^2 - 5x - 24 / x^3 - 2x^2 - 15x(A) Where is f discontinuous?The function f is discontinuous at the following x-values:Your answer must be...
- Q Consider the following one-sided limit.lim h?13? (h- 169 / h - 13)Approximate the limit by filling in the table. Round to the nearest thousandth.h y1212.912.9912.999
- Q Consider the function p(x)= cosx/sin 2x Which of the following accurately describes the limit as x approaches 0 of the function?As x approaches 0, the limit of p(x) approaches a...
- Q Find the limit of s(n) as n ??. s(n)=[n(n+1)/3]
- Q Values of f(x) at selected values of x are shown in the table.X -2.75 -2.1 -2.01 -1.99 -1.9 -1.25f(x) -0.313 -0.05 -0.001 5.000 5.05 5.313Based on the data in the...
- Q The table shown gives values of the function h at selected values of x.x 1 1.9 1.99 1.999 2.001 2.01 2.1 3h(x) 3 3.9 3.99 3.999 4.001 4.01 4.1 5lim...
- Q Fast-Food Bills for Drive-Thru Customers A random sample of 44 cars in the drive-thru of a popular fast food restaurant revealed an average bill of $19.27 per car. The population...
- Q What is the range of the function?f(x) = 3/x+4 + 2
- Q Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.)f(x) = 4 sin x + 4 cos x,[0, 2?](x, y) =(x,...
- Q A business has a cost of C = 0.5x + 500 for producing x units. The average cost per unit is given by the following.Find the limit of the average...
- Q Use interval notation to indicate where on the interval [0,?/4] the function f(x) = 2x + 3 / cos 4x is continuous.
- Q Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the MeanValue Theorem can be applied, find all values of c in...
- Q Mathematicians I. Perepelitsa and C. Douglas are having an argument. Professor Douglas claims that it is impossible for a function y = f(x) to have the following properties:a) f(x) is...
- Q Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)f(x) = x-3x - 10 /x + 7Yes, Rolle's Theorem can be...
- Q State whether the graph of f(x)= x+7x + 10x / x +5 has infinite discontinuity, jump discontinuity, point discontinuity, or is continuous.The function is continuous.The function has jump discontinuity.The function...
- Q Consider the following function and closed interval.f(x) = x2/3- 3, [-8, 8]Is f continuous on the closed interval [-8, 8]?YesNoIf f is differentiable on the open interval (-8, 8), find...
- Q Find the derivative by the limit process.f(x) = 15-x
- Q Alicia, the manager of a plant, determinesthat when x% of the plant's capacity is beingused, the total cost of operation is C hundreddollars, whereC(x) ==16x2-1240x - 3200x - 72x -...
- Q In certain situations, it is necessary to weighthe benefit of pursuing a certain goal againstthe cost of achieving that goal. For instance,suppose that to remove x% of the pollutionfrom an...
- Q Determine whether the function is differentiable at x = 3.x + 3, x ? 36x9,x>3f(x) = {The function differentiable at x = 3.
- Q Find the x-values (if any) at which f is not continuous. Which of the discontinuities areenter DNE.)f(x) = ln(x + 1),12-x,x ? 0x < 0
- Q Consider the following.f(x)=x/x-9Find the x-values (if any) at which f is not continuous. Is the discontinuity removable? (Enter your answers from smallest tolargest. Enter NONE in any unused answer blanks.)
- Q Consider the following.f(x)=9|x - 71|/X-7Find the x-value (if any) at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks.)
- Q Find all values of c such that f is continuous on (-?, ?). f(x)=8-x , x?c x , x>cc= (smaller value) c=(larger value)
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