11. 12. H A E L'

Q: 3. A plastic of warm water with a temperature of 110°F is placed inside a 0°F freezer. After 20…

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Q: The population of two different species are given by P1 P1 = 3 ln(t) +7° and P2. where t is measured…

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Q: 4. A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at…

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Q: (5) Suppose 2 mg of a drug is injected into a person's bloodstream. As it metabolizes, the amount of…

A: Initially 2 mg of drug is injected and it decreases at the rate of 4% each hourWhen must the person…

Q: S 10) L -1. 2 s* +2s – 3 11) L-' (s – 2)(s – 3)(s – 6)J 1 12) L' 3 s° +5s,

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Q: 1. The rate of increase of a certain population of a barangay is proportional to the population. If…

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Q: 3. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are…

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Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: 6. Suppose the radius of hemispherical container is 10 cm. It contains water and it is placed under…

A: Given query is to find the rate of change of area.

Q: 3) A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: 3. A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: We row that general equation for the radio active decy is M=M0e-kt            Where "M0 " is…

Q: if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per…

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Q: 9. Find the value of JL MA KM = 2x + 10 JL = 5x – 11

A: Consider the isosceles trapezoid JKLM. Recall that the diagonals of an isosceles trapezoid are…

Q: 2. Suppose you have seats to a concert featuring your favorite musical artıst. Calculate the…

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Q: 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will its…

A: Use the Newton's formula for finding the time. First use the Newton's formula for finding k then…

Q: 12 2- Based on the graph above, estimate to one decimal place the average rate of change from x = 1…

A: From the given graph, it is observed that f1≈3.5 and f4≈8.5. Obtain the average rate of change over…

Q: 2. A 15 foot ladder is resting against the wall. The bottom is initially 10 feet away from the wall…

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Q: 9. The mass of a radioactive substance is 400mg and decreases by 6% per year. What is its mass after…

A: The mass of the radioactive substance is 400mg and decreases by 6% per year.

Q: 2. The rate at which the number of bacteria in a culture is changing (in thousands of bacteria per…

A: As per our limit we can answer only the first question. If you want other questions to be answered…

Q: Suppose an unknown radioactive substance produces 22400 counts per minute on a Geiger counter at a…

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Q: 6. A mine worker discovers an ore sample containing 500 mg of radioactive material. I vas discovered…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: As part of the process in the production of a perfume, a certain substance with water is converted…

A: We have to formed a differential equation and solve it get amount converted or amount left

Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

A: Given radius of a circle is increasing at the rate of 4 cm/sec.

Q: 4. If X has an exponential (A) PDF, what is the PDF of W = X² ?

A: Given, X~ exp(λ)       To find, what is the PDF of W=X2

Q: 18. Two cars start moving from the same point. One travels south at 60 mi/h and the other travels…

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Q: 7. A conical pile is formed by pouring sand at a rate of 30 cm/s. When its base diameter and…

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Q: 1. A balloon leaves the ground 18m from an observer and rises vertically at 1.25 m/s. How fast is…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 4. If the temperature on the third day of the month is 50 degrees Celsius and 30 degrees by the 13th…

A: Given the temperature on the third day is 50 degrees Celsius and the temperature on the 13th day is…

Q: (13) The blood pressure P measured in millimeters of mercury of an adult x years old is given by…

A: Given: P(x)= 40+25ln (x+1)  the limit 0 between 65 To find : Rate of change  of pressure of the…

Q: 2. Suppose that a bacteria population is dying off at a rate of 30% per day. How much of the…

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Q: 18. A light is on the top of a 4-meter tall pole and a 1.5-meter tall person is walking away from…

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Q: 3. The rate of population grarth of a to the number inhabitent>. If the population of a certain…

A: topic - exponential function

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Given: N0= Initial number of bacteria After one hour the number of bacteria is measured to 32N0 Rate…

Q: 25% of the initial intensity I.

A: answer is in next step

Q: 5. Assume that an airplane is flying toward you at a constant height of 2 miles and at a speed of…

A: Here we solve this question using differentiation and basic trigonometric formulas.…

Q: Suppose we want to estimate e0.017 using linear approximation. What is the approximate

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Th e annual income of a person from China is $5100 and is growing at a rate of 8% per year. In…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 7. A vertical cylinder is leaking water at a rate of 1 ft'/sec. If the cylinder has a height of 10…

A: To find the rate of change of height of water changing

Q: In the Newton's Law of Cooling, at small differences of temperatures between the body and the…

A: Recall:  The rate of loss of heat is directly proportional to the difference in the temperatures…

Q: 1. A man on a wharf, whose hand is 8.2 m above the level of the water surface is pulling a rope tied…

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Q: 10. A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3 ft/sec. What is the…

A: Given that: The height of the person is 6 ft. The height of the lamppost is 10 ft. The person is…

Q: 7. A radioactive material, Whatsuppium (Wu) decays according to the equation W (t) = 120(1.21)-t/5,…

A: W=120(1.21)-t/5

Q: 3) An empty can of room freshener that has a volume of 350 mL, contains gas at a pressure of 360 kPa…

A: I am attaching image so that you understand each and every step.

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A: Let f(x)=5ln x       and g(x)=ln x,

Q: A type of radioactive element has a daily radioactive decay rate of 0.5%. If 14 pounds of this…

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Q: 8 7- Based on the graph above, estimate (to one decimal place) the average rate of change from z = 1…

A: Recall: Average Rate of change from x=a to x=b is f(b)-f(a)b-a.

Q: 1 A 5 m ladder is leaning against a wall of a house. The bottom of the ladder is pulled away from…

A: Let the bottom of the ladder is x meters away from the wall and the top of ladder is at distance y…