The rate at which bacteria multiply is proportional to the instantaneous Number Present. If the original number doubles in z Hrs? When it will be tripled?

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

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Q: If a snowball melts so that its surface area decreases at a rate of 8 cm2/min, find the rate (in…

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Q: The radius of a sphere decreases at a rate of 1 m/se decreases when the radius is 15 m

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Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

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Q: A 13-foot ladder leans against a wall. The foot of the ladder begins to slide away from the wall at…

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Q: A hot-air balloon is 150 ft above the ground when a motorcycle (traveling in a straight line on a…

A: Let x be the distance the motorcycle has traveled. Let y be the height of the balloon above the…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

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Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: A spherical drop of liquid evaporates at a rate proportional to its surface area. If a given drop…

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate (in…

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Q: With snow on the ground and falling at a constant rate, a snowplow began plowing down a long…

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Q: Find the rate of change of area of the square in m/s with respect to its side when the sides, s, is…

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Q: A l10-ft ladder is leaning against a vertical wall. If the bottom of the ladder is pulled away from…

A: If you like the solution then please give it a thumbs up.. The Answer is:        dy/dt = -3/2  or…

Q: The rate at which bacteria multiply is proportional to the instantaneous N numbers present. If the…

A: Let y(t) represents the number of bacteria present in the culture after t hours. Let the initial…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

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Q: The radius of a spherical balloon is decreasing at a rate of 2 - in/sec. Which of the following is…

A: As we know that the expression for the volume of the sphere: v=43πr3 Where; ''r'' is the radius of…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

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Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: Topic:- application of derivatives

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: we have to find the rate change in diameter

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in…

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Q: After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is present.…

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Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

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Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

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Q: A 200-liter tank initially full of water develops a leak at the bottom. Given that 10% of the water…

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Q: If a snowball melts so that its surface area decreases at a rate of 3 cm/min, find the rate (in…

A: Given  Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

Q: An ice cube that is 3 cm on each side is melting at a rate of 2 cm3 per min. How fast is the length…

A: Given: Length of cube L=3cm Rate of melting =-2cm3

Q: The volume of a cylinder with a radius of 5 inches is increasing at a rate of 36pi in^3/min. How…

A: given in a cylinderr=5 indVdt=36π in3/minh=10 innow volume of cylinder (V)=πr2hradius is constant

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its…

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Q: The hour hand of a clock is 4 inches long and the minute hand is 6 inches long. At the moment the…

A: The hour hand of clock is 4 inches long and the minute hand is 6 inches long. At that time angle…

Q: After 2 days, 10g of radioactive chemical is present. Three days later, 5g is present. How much of…

A: Given:      After  2 days, 10g of radioactive chemical is present. Three days later5 g chemical is…

Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this…

A: The amount of mold at time 0 is m0. The amount of mold present after t hours is m. The rate of…

Q: A mold grows at a rate that is proportional to the amount present. Initially, there is 5 oz of this…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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Q: The radius r of a sphere is increasing at a rate of 4 inches per minute.

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2…

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Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

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Q: As an orange grows, the rate of change of the radius r of the orange is inversely proportional to…

A: Given query is to find differential equation.

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Given:

Q: A balloon leaving the ground 60 ft. from an observer, rises vertically at the rate of 10 ft. per…

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Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

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Q: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

Q: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

A: 625 gal. water drains from the pool.

Q: A boat takes 2/3 as much time to travel downstream from C to D, as to return, If the rate of the…

A: A boat takes 2/3 as much time to travel downstream from C to D, as to return. If the rate of the…

Q: The length of a rectangle is increasing at a rate of 9 in./s, while its width is decreasing at 2…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.