Q) A 13 m ladder is leaning against a vertical wall. If the foot of the Tadder moves away from the watt at a rate of O.5m/sg what is the rate the top of the tadder sliding the wall when the foot down of ths Tcd dsr is 500cm from the walt.

Q: B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at…

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Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

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

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

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Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

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Q: A kite is flying at a height of 40 ft. A boy is flying it so that it is moving horizontally at a…

A: Given: Kite is moving horizontally at a rate of 3 ft per sec. To determine: The rate at which the…

Q: A helicopter takes o from a point 80 m away from an observerlocated on the ground, and rises…

A: Thus when the helicopter is 60 m above the ground the elevation angle of theobserver’s line of sight…

Q: The side of a cube is increasing at a rate of 5cm/sec, find the related change in surface area wher…

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Q: Suppose there is no snow in a parking lot when snow begins to fall at midnight; From midnight until…

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Q: If a ball of candy is covered in chocolate and is melting so that its surface area decreases at a…

A: To find: The rate at which diameter decreases when diameter is 10 cm. Given: The rate of surface…

Q: A 80-kg cyclist on a 19-kg bicycle starts coasting on level ground at 30 m/sec. Use v = vo e (-k/m)t…

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Q: The legs of an isosceles right triangle increase in length at a rate of 6 m/s a. At what rate is the…

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

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

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Q: A conical tank with an upper radius of 4 m and a height of 5 m drains into a cylindrical tank with a…

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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 at…

A: Solve using increasing & decreasing function.

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

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Q: A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away fromher at a…

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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 width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3…

A: The rate of increase of the width of a rectangle i.e. dwdt=2 cm/sec The rate of increase of the…

Q: A 1.85-kg steel ball is dropped from a plane to an ocean. If the velocity of the ball just before…

A: Given:-velocity of ball just before reaching (vi) =2.7 m/smass of ball (m)=1.85 kgTo find: velocity…

Q: The width of a rectangle is increasing at a rate of 5 cm/sec, while the length increases at 6…

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Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: 21. For the camera and rocket shown in Figure 3.4.5, at what rate is the camera-to-rocket distance…

A: Given that the distance between camera and launching pad is 3000 ft., the distance between launching…

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

A:

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at…

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Q: A ladder 13 feet long is leaning against the wall. If the base of the ladder is pushed toward the…

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Q: How fast is the bicycle traveling in miles per​ hour? (Hint: 5280 ft=1 mi)

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Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from…

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Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

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Q: 3) If a spherical snowball melts so that its surface area decreases at a rate of 1 cm? he rate at…

A: It is given that a spherical ball melts so that its surface area decreases at a rate of 1 cm2 per…

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: The area of an equilateral triangle is decreasing at a rate of 3 cm^2/min. Find the rate (in…

A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: The edge length of a cube is 12 cm and increasing at a rate of 2 m. How fast is the Surface Area of…

A: Given dx/dt=2cm/hr X=12cm

Q: A kite, at a height of 60 ft. is moving horizontally at a rate of 5ft/sec. away from the boy who…

A: From the given information, draw a picture.

Q: A rope is attached to the bow of a sailboat coming in for the evening. Assume that the rope is drawn…

A: Given: The rope is drawn in over a pulley 5 feet higher than the bow at the rate of 2 feet per…

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: A 13 ft. ladder is leaning against a house while the base is pulled away at a constant rate of 1…

A: We need to find the rate at which top of ladder sliding down

Q: 31 An ice (ube is slowly melting, losing 3cm3 of water each hour. If it a lways remains a Perfect…

A: Volume of a cube=(side)^3

Q: Two cars start moving from the same point. One travelssouth at 60 mih and the other travels west at…

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Q: paper cup has the same shape of a cone with the height of 8cm and a radius 3cm (at the top). If…

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

A: Given information:

Q: A ship leaves port at 2:00 PM and travels S30°E at the rate of 50 km/hr. Another ship leaves the…

A: Given that a ship leaves a port at 2:00 PM and travels S30degree East at the rate of 50km/hour and…

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

A:

Q: If a snowball melts so that its surface area decreases at a rate of lcm²/min, find the rate at which…

A: Snowball represents a sphere So , Surface Area of sphere is 4πr2.  And , d=2r.  Using this we solve…

Q: . A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A: Given that a though has ends shaped like isosceles triangle with width 3 m and height 4m and trough…

Q: In every sphere of radius r it is true that its volume V is given by V =ar³ , A snowball is melting…

A: volume of snowball (sphere);V=43πr3differentiating w.r.t. time t;dVdt=-4π3(3r2) drdtdVdt=-4πr2…

Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing…

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Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

A: Suppose that the length of rectangle is “l” and width is “w”   So according to the question, dwdt=2…