Homework Answers
please solve The rate at which water is flowing into the boat is given in the table below. Estimate the volume of the water that has flowed into the boat during 20 minutes using right hand sums, l...
please solve
The rate at which water is flowing into the boat is given in the table below. Estimate the volume of the water that has flowed into the boat during 20 minutes using right hand sums, left hand sums, the midpoint rule, the trapezoid rule. Which one is an upper estimate? Which one in a lower estimate? Why? 0 5 10 15 20 rO liters/minute 20 25 27 16 3 t minutes
The rate at which water is flowing...
Write the definition of a class, swimmingPool, to implement the properties of a swimming pool. Your...
Write the definition of a class, swimmingPool, to implement the properties of a swimming pool. Your class should have the instance variables to store the length (in feet), width (in feet), depth (in feet), the rate (in gallons per minute) at which the water is filling the pool. Add appropriate constructors to initialize the instance variables. Also add member functions, to do the following: Determine the amount of water needed to fill an empty pool; the time needed to completely...
please, write the necesery steps clearly, thank you. diidertial equation question #5 (1) What is the...
please, write the necesery steps clearly, thank you.
diidertial equation question #5
(1) What is the order of the following differential equation? y? + 6x*y" = sinº (2) Solve 16r2 -0. (3) Suppose Tank A initially has 30 gallons of water containing 55 ounces of dissolved salt, and Tank B initially has 20 gallons of water containing 26 ounces of dissolved salt. Water from an external source with a salt concentration of 1 ounce per gallon flows into Tank A...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
A trough has a semicircular cross section with a radius of 5 feet. Water starts flowing...
A trough has a semicircular cross section with a radius of 5 feet. Water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 3 inches per hour CROSS-section of trough (a) Glve a function w ft) relating the width w, in feet of the surface of the water to the time t, in hours. Make sure to specify the domain and compute the range too Domains Osts 20...
number 1 94 CHAPTER 2 LIMITS AND DERIVATIVES 2.1 Exercises 1. A tank holds 1000 gallons...
number 1
94 CHAPTER 2 LIMITS AND DERIVATIVES 2.1 Exercises 1. A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes 30 r (min) 10 15 20 25 V(gal) 694 444 250 111 28 (a) If P is the point (15, 250) on the graph of V. find the slopes of...
You visit a swimming pool with a 3.6-m-long waterslide that is inclined at 30 degree below...
You visit a swimming pool with a 3.6-m-long waterslide that is inclined at 30 degree below the horizontal plane. You decide to test Newton's second law by predicting the time interval it will take you to move down the slide starting at rest. Complete the table that follows to make your prediction. Sketch the situation described in the problem: provide all known information. Draw a free-body diagram for the system object. Label the forces. Make sure the diagram is consistent...
I need help with Number 5, Thank you! 5. Suppose 150g of ice at a temperature...
I need help with Number 5, Thank you!
5. Suppose 150g of ice at a temperature of 0 C are combined with 250 g of water at 70°C.in tainer. The onty heat nges are between the ice and the water. You have been asked to predict the final state of the system. Consult the appropriate tables in b the text for any numbers you need a) One possible outcome is that the system might cool down to O'C, resulting in...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...
Directions: In each problem (1)-(5), write a definite integral of a single variable. For problems...
Need ONLY 2-3 with work shown
Directions: In each problem (1)-(5), write a definite integral of a single variable. For problems marked [FTC], use the Fundamental Theorem of Calculus to evaluate the definite integral. Use a calculator utility for problems marked [Calculator Active]. Show intermediate steps, and box in your final result. « Submit a single team set of solutions on the answer sheets provided.» > (0) Region R is bounded by the curve y -x and the line y...
please solve
The rate at which water is flowing into the boat is given in the table below. Estimate the volume of the water that has flowed into the boat during 20 minutes using right hand sums, left hand sums, the midpoint rule, the trapezoid rule. Which one is an upper estimate? Which one in a lower estimate? Why? 0 5 10 15 20 rO liters/minute 20 25 27 16 3 t minutes
The rate at which water is flowing...
please, write the necesery steps clearly, thank you.
diidertial equation question #5
(1) What is the order of the following differential equation? y? + 6x*y" = sinº (2) Solve 16r2 -0. (3) Suppose Tank A initially has 30 gallons of water containing 55 ounces of dissolved salt, and Tank B initially has 20 gallons of water containing 26 ounces of dissolved salt. Water from an external source with a salt concentration of 1 ounce per gallon flows into Tank A...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
A trough has a semicircular cross section with a radius of 5 feet. Water starts flowing into the trough in such a way that the depth of the water is increasing at a rate of 3 inches per hour CROSS-section of trough (a) Glve a function w ft) relating the width w, in feet of the surface of the water to the time t, in hours. Make sure to specify the domain and compute the range too Domains Osts 20...
number 1
94 CHAPTER 2 LIMITS AND DERIVATIVES 2.1 Exercises 1. A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes 30 r (min) 10 15 20 25 V(gal) 694 444 250 111 28 (a) If P is the point (15, 250) on the graph of V. find the slopes of...
You visit a swimming pool with a 3.6-m-long waterslide that is inclined at 30 degree below the horizontal plane. You decide to test Newton's second law by predicting the time interval it will take you to move down the slide starting at rest. Complete the table that follows to make your prediction. Sketch the situation described in the problem: provide all known information. Draw a free-body diagram for the system object. Label the forces. Make sure the diagram is consistent...
I need help with Number 5, Thank you!
5. Suppose 150g of ice at a temperature of 0 C are combined with 250 g of water at 70°C.in tainer. The onty heat nges are between the ice and the water. You have been asked to predict the final state of the system. Consult the appropriate tables in b the text for any numbers you need a) One possible outcome is that the system might cool down to O'C, resulting in...
L 2. Steady statemass balance: Water is flowing at steady state in a 0.1 meter-diameter pipe with a maximum velocity (turbulent profile) of 0.3 meters/sec. The pipe then goes through an expansion, to where it is then flowing in a 0.5 meter-diameter pipe, and the flow regime has changed from turbulent to laminar. In the second section of pipe, calculate the velocity as (a) block flow profile (Vavg), and (b) maximum velocity in laminar flow profile? HINT: you will need...
Need ONLY 2-3 with work shown
Directions: In each problem (1)-(5), write a definite integral of a single variable. For problems marked [FTC], use the Fundamental Theorem of Calculus to evaluate the definite integral. Use a calculator utility for problems marked [Calculator Active]. Show intermediate steps, and box in your final result. « Submit a single team set of solutions on the answer sheets provided.» > (0) Region R is bounded by the curve y -x and the line y...
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