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6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from...
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases...
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per min...
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per minute. The radius of the pool is 15 feet. Find the rate at which the depth of water is changing when the water has a depth of 2 feet. (Hint: The volume for the cap of a sphere is V =,haR_h) where R is the radius of the sphere and h is the depth of the cap.) ft/min help...
show work 4. The spherical balloon is being filled with water at a rate of 25...
show work
4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius 4 changing when the radius is 4 cm? (Volume of a sphere: V =
A balloon is being inflated so that its volume is increasing at a constant rate of...
A balloon is being inflated so that its volume is increasing at a constant rate of 200 c.c. per second. How fast is the radius increasing when the radius is 15 cm? Note that the volume is given by v=(4/3)π r^3.
question 2 in two parts Incorrect Question 2 0/1 pts The first question in this problem...
question 2 in two parts
Incorrect Question 2 0/1 pts The first question in this problem is "How fast is the radius of the balloon changing at the instant the balloon's diameter (dis 12 inches?" Which of these sketches best records the known and unknown quantities that are relevant to this question? dr/dt? d=12 dv/dt=20 r=6 d=12 dv/dt=20 =6 dr/dt=20 d=12 r=6 dr/dt=20 dv/dt = ? d=12 Incorrect Question 3 0/1 pts Part b of Preview Activity 3.5.1 reads: "Recall...
10. (4 pts) Pancake batter is being poured onto a griddle at a rate of 8...
10. (4 pts) Pancake batter is being poured onto a griddle at a rate of 8 cm/sec and settles in an expanding cylinder which is a constant 1 cm high. How fast is the radius increasing when the radius is 5 cm? The volume of a cylinder of radius r and heighth is V = arh.
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Fi...
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Figure 1 below. Provide: Asketch of the analogous flow network using a capacitor symbol to indicate liquid a. volume storage. b. Let h liquid level height;t time; R 988.1(h)0 V 0.5+0.5cos(0.05t), the inlet flow rate; D 2.5, tank diameter; y 60; liquid specific weight; and ho 10, initial h Assume that the units are consistent and the exit pressure...
6. (25 pts) There's a giant 188 L balloon filled with 0.3333 atm of O2(g) and...
6. (25 pts) There's a giant 188 L balloon filled with 0.3333 atm of O2(g) and 0.6667 atm Fr() at room temperature (298 K). The balloon can not burst but it's volume can fluctuate. a. How many mols of each, O2 and F3, are present in the balloon? (Use R=0.08206) b. The F, reacts with the O, to produce OF2(g). Assuming the reaction happens so fast the balloon's volume remains constant, initially, what is the new total pressure inside the...
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work....
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work. Label your answers with the proper units. (3 points each ) A spherical ball is being inflated at the rate of 12 cubic inches per second. Find the rate at which the radius of the sphere is growing when the radius is 2 inches. long. 2. A 13 foot ladder is leaning against a wall. The base of the ladder is being palled away...
3.) [50 pts] Consider a solid sphere (with radius R) of nonconducting material having a (volume)...
3.) [50 pts] Consider a solid sphere (with radius R) of nonconducting material having a (volume) charge density ρ-ar', where α is a constant (having appropriate units). a.) [10 pts] Provide an expression for the total charge contained in the sphere. b.) [5 pts] Provide an expression for the electric field, Eout, at some position r (relative to the origin at the center of the sphere) located outside the sphere 15pts] Provide an expression for the electric field, Ein, at...
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
A pool shaped like the bottom half of a sphere is being filled at a rate of 28 cubic feet per minute. The radius of the pool is 15 feet. Find the rate at which the depth of water is changing when the water has a depth of 2 feet. (Hint: The volume for the cap of a sphere is V =,haR_h) where R is the radius of the sphere and h is the depth of the cap.) ft/min help...
show work
4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius 4 changing when the radius is 4 cm? (Volume of a sphere: V =
question 2 in two parts
Incorrect Question 2 0/1 pts The first question in this problem is "How fast is the radius of the balloon changing at the instant the balloon's diameter (dis 12 inches?" Which of these sketches best records the known and unknown quantities that are relevant to this question? dr/dt? d=12 dv/dt=20 r=6 d=12 dv/dt=20 =6 dr/dt=20 d=12 r=6 dr/dt=20 dv/dt = ? d=12 Incorrect Question 3 0/1 pts Part b of Preview Activity 3.5.1 reads: "Recall...
10. (4 pts) Pancake batter is being poured onto a griddle at a rate of 8 cm/sec and settles in an expanding cylinder which is a constant 1 cm high. How fast is the radius increasing when the radius is 5 cm? The volume of a cylinder of radius r and heighth is V = arh.
A vertical cylindrical tank is being filled with water, while at the same time water is being drained as shown in Figure 1 below. Provide: Asketch of the analogous flow network using a capacitor symbol to indicate liquid a. volume storage. b. Let h liquid level height;t time; R 988.1(h)0 V 0.5+0.5cos(0.05t), the inlet flow rate; D 2.5, tank diameter; y 60; liquid specific weight; and ho 10, initial h Assume that the units are consistent and the exit pressure...
6. (25 pts) There's a giant 188 L balloon filled with 0.3333 atm of O2(g) and 0.6667 atm Fr() at room temperature (298 K). The balloon can not burst but it's volume can fluctuate. a. How many mols of each, O2 and F3, are present in the balloon? (Use R=0.08206) b. The F, reacts with the O, to produce OF2(g). Assuming the reaction happens so fast the balloon's volume remains constant, initially, what is the new total pressure inside the...
Math 2413 Derivative Applications Assignment Due: Tuesday, June 18, 2019 (5:30 pm) Name Show all work. Label your answers with the proper units. (3 points each ) A spherical ball is being inflated at the rate of 12 cubic inches per second. Find the rate at which the radius of the sphere is growing when the radius is 2 inches. long. 2. A 13 foot ladder is leaning against a wall. The base of the ladder is being palled away...
3.) [50 pts] Consider a solid sphere (with radius R) of nonconducting material having a (volume) charge density ρ-ar', where α is a constant (having appropriate units). a.) [10 pts] Provide an expression for the total charge contained in the sphere. b.) [5 pts] Provide an expression for the electric field, Eout, at some position r (relative to the origin at the center of the sphere) located outside the sphere 15pts] Provide an expression for the electric field, Ein, at...
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