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Question 1 Not yet answered Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limits (if they exist; if not, type 0.00005 on the space provided). Decimal form and up to one decimal place only.

limx→0x+1−−−−√−1xlimx→0x+1−1x Answer: Answer Question 2 Answer saved Marked out of 1.00

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Select one: a. No, since f is not continuous at x = 1, which is inside (0, 2). b. No correct answer c. Yes, f is continuous at [0, 2]. Clear my choice Question 3 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 on the space provided). Answer should be in decimal form. Up to one decimal place only. Find

limh→0f(x+h)−f(x)hlimh→0f(x+h)−f(x)h for the following function

f(x) = 3x - 1 Answer: Answer

0.5

Question 4 Answer saved Marked out of 1.00

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Question text The weekly profit P, in dollars, of a corporation is determined by the number x of radios produced per week, according to the formula P = 75x - 0.03x2 - 15,000. Find the rate at which the profit is changing when the production level x is 1000 radios per week. Select one: a. 20 dollars b. 15 dollars c. 10 dollars d. 25 dollars Clear my choice Question 5 Answer saved Marked out of 1.00

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Question text Two people are at an elevator. At the same time one person starts to walk away from the elevator at a rate of 2 ft/sec and the other person starts going up in the elevator at a rate of 7 ft/sec. What rate is the distance between the two people changing 15 seconds later?

Select one: a. 8.2801 b. 7.2801 c. 5.2801 d. 6.2801 Clear my choice Question 6 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Solve the following limits (if they exist; if not, type 0.00005 on the space provided). Decimal answers for up to two decimal places only.

limx→0sin2x3xlimx→0sin2x3x Answer: Answer

0.66

Question 7 Answer saved Marked out of 1.00

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Question text A tour bus has 80 seats. Experience shows that when a tour costs P28,000, all seats on the bus will be sold. For each additional P1,000 charged, however, 2 fewer seats will be sold. Find the largest possible revenue. Select one: a. P28,500 b. P28,900

c. P28,700 d. P29,000 Clear my choice Question 8 Answer saved Marked out of 1.00

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Question text PROBLEM SOLVING. Type the answer on the space provided. Whole numbers only.

Answer: Answer

-1

Question 9 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limits (if they exist; if not, type 0.00005 on the space provided). Answer should be in decimal form, and up to two decimal places only.

limx→5x2−3x−10x−5limx→5x2−3x−10x−5

Answer: Answer

1.25

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Question text Air is leaking out of a spherical balloon at the rate of 3 cubic inches per minute. When the radius is 5 inches, how fast is the radius decreasing? Select one: a. 0.01 inch per minute b. 0.03 inch per minute c. 0.02 inch per minute d. 0.04 inch per minute Clear my choice Question 11 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 on the space provided). Answer should be in decimal form. Up to two decimal places only.

limy→2(y2−1y)limy→2(y2−1y) Answer: Answer

3.5

Question 12 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 in the space provided). Answers should be in decimal form. Up to two decimal places only.

limx→∞x2+1−−−−−√−x2−1−−−− −√limx→∞x2+1−x2−1 Answer: Answer

0

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Select one: a. Function is discontinuous at t = 10. b. Function is continuous at t = 10 Clear my choice Question 14 Answer saved Marked out of 2.00

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Question text Calculate the following limit (if they exist. if not, type 0.0005 on the space provided). Answer should be in decimal form. Up to two decimal places only.

limx→−5x2−25x2+2x−15limx→−5x2−25x2+2x−15 Answer: Answer

1.25

Question 15 Answer saved Marked out of 1.00

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Select one: a. limits are equal, the function is continuous at a = 3. b. limits are not equal, the function is continuous at a = 3. c. limits are equal, the function is discontinuous at a = 3. d. limits are not equal, the function is discontinuous at a = 3. Clear my choice Question 16 Answer saved

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Select one: a. No, since f is continuous on the right at 0 but not on the left at 1. b. Yes, since f is discontinuous on the right at 0 and on the left at 1. c. Yes, since f is continuous on the right at 0 and on the left at 1. d. No, since f is not continuous on the right at 0 and on the left at 1. Clear my choice Question 17 Answer saved Marked out of 1.00

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Question text Find two positive numbers whose sum is 300 and whose product is a maximum. Select one: a. 100, 200 b. 125, 175 c. 150, 150 d. 130, 170 Clear my choice Question 18 Answer saved Marked out of 2.00

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Question text Calculate the following limit (if it exists; if not, type 0.0005 on the space provided). Answer should be in decimal form. Up to two decimal places only.

limz→4z√−2z−4limz→4z−2z−4 Answer: Answer

0.25

Question 19 Answer saved Marked out of 1.00

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Select one: a. The discontinuity is removable b. The discontinuity is not removable. c. No correct answer. Clear my choice Question 20 Answer saved Marked out of 1.00

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Select one: a. function is not continuous at a = 1. b. No correct answer c. function is continuous at a = 1. Clear my choice Question 21 Answer saved Marked out of 2.00

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Question text Calculate the following limit (if it exists; if not, type 0.0005 on the space provided). Answer should be in numerical form. Whole numbers only.

limh→0(6+h)2−36hlimh→0(6+h)2−36h Answer: Answer

12

Question 22 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 on the space provided). Answers should be in decimal form. Up to one decimal place only.

limx→0sin(3x)6xlimx→0sin(3x)6x Answer: Answer Question 23 Answer saved Marked out of 1.00

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0.5

Select one: a. There are no points of discontinuity b. x = -4 c. x = 1 d. x = 2 Clear my choice Question 24 Answer saved Marked out of 2.00

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Question text Calculate the following limit (if it exists; if not, type 0.0005 on the space provided). Answer should be in decimal form. Up to two decimal places only.

limx→1x−12x−1−−−−−√−1limx→1x−12x−1−1 Answer: Answer Question 25 Answer saved Marked out of 2.00

1

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limh→0f(x+h)−f(x)hlimh→0f(x+h)−f(x)h for the following function. f(x)=4x2−xf(x)=4x2−x Find

Answer: Answer

0.00005

Question 26 Answer saved Marked out of 1.00

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Question text A manufacturer sells each of his TV sets for $85. The cost C (in dollars) of manufacturing and selling x TV sets per week is C = 1500 + 10x + 0.005x2. If at most 10,000 sets can be produced per week, how many sets should be made and sold to maximize the weekly profit? Select one: a. 7500 b. 9500 c. 8500 d. 10500 Clear my choice Question 27 Answer saved Marked out of 1.00

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Question text A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at a rate of 0.5 m 2/sec at what rate is the radius decreasing when the area of the sheet is 12 m 2? Select one: a. -0.040517 b. -0.040617 c. -0.040417 d. -0.040717 Clear my choice Question 28 Answer saved Marked out of 1.00

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Question text We want to build a box whose base length is 6 times the base width and the box will enclose 20 in . The cost of the material of the sides is $3/in and the cost of the top and bottom is $15/in . Determine the dimensions of the box that will minimize the cost. 3

2

2

Select one: a. w=0.7299, l=4.3794, h=6.2568 b. w=0.6299, l=3.3794, h=5.2568 c. w=0.8299, l=5.3794, h=7.2568 d. w=0.5299, l=2.3794, h=4.2568 Clear my choice Question 29 Answer saved Marked out of 1.00

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Question text A light is mounted on a wall 5 meters above the ground. A 2 meter tall person is initially 10 meters from the wall and is moving towards the wall at a rate of 0.5 m/sec. After 4 seconds of moving is the tip of the shadow moving towards or away from the person? Select one: a. towards the person at a rate of 1/2 m/s b. towards the person at a rate of 1/3 m/s c. away from the person at a rate of 1/2 m/s d. away from the person at a rate of 1/3 m/s Clear my choice Question 30 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 on the space provided). Answer should be in decimal form. Up to one decimal place only.

limx→0x+1−−−−√−1xlimx→0x+1−1x Answer: Answer Question 31 Answer saved Marked out of 1.00

0.5

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Select one: a. Function is not continuous at t = -2. b. Function is continuous at t = -2. c. No correct answer Clear my choice Question 32 Answer saved Marked out of 2.00

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Question text PROBLEM SOLVING. Calculate the following limit (if they exist; if not, type 0.00005 on the space provided). Answer should be in decimal form. Up to one decimal place only.

limx→02x2x2+x+1−−−−−−−−√−x2−3x+1−−−−−−− −√limx→02x2x2+x+1−x2−3x+1

Answer: Answer Question 33 Answer saved Marked out of 2.00

1

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Question text PROBLEM SOLVING. Calculate the following limits (if they exist; if not, type 0.00005 on the space provided). Answers should be in decimal form. Up to one decimal place only.

limx→∞4x3+2x2+35x3+x−1limx→∞4x3+2x2+35x3+x−1 Answer: Answer

0.8

Question 34 Answer saved Marked out of 1.00

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Question text A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows in at the rate of 12 ft /min. 3

Select one: a. 0.4 ft/min b. 0.5 ft/min c. 0.6 ft/min d. 0.3 ft/min Clear my choice Question 35 Answer saved Marked out of 1.00

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Select one: a. No, since f is not continuous at 2. b. No correct answer c. No, since f is not continuous on the right at 1. d. Yes, f is continuous over [1, 2] Clear my choice...