The voltage of household current is given by V=170sin(120πt) ​volts, where t is in seconds. Find the wattage rating of an appliance if the current flowing through the appliance is given by I=2.496sin(120πt) amps and the wattage rating of an appliance is maximum wattage/2. The wattage rating of the appliance is____watts.

Q: The concentration, y, of a drug in the bloodstream t seconds after injection into a muscle is given…

A: Consider the given equation as y=4e-4t-e-6t. Given that the concentration y of a drug in the…

Q: Solve for at least one possible root for the function x* + 2x + 2 = 10e-2x² using the methods…

A: If then the independent variable x is called the input of the function and the dependent variable…

Q: The velocity v, in feet per second, of the water pouring out of a small hole in the bottom of a…

A: The velocity v, in feet per second, of the water pouring out of a small hole in the bottom of a…

Q: The size of a rat population at the bay area of a certain city grows at a rate of 6% monthly. If…

A:

Q: A roasted turkey is taken from an oven when its temperature has reached 185°F and is placed on a…

A: Given, Initial temperture=185°FSurrounding temperture=74°FTemperture after 30 minute =150°Fa) we…

Q: ylinder radius = 19 cm and height = 31 cm. Use your calculator’s pi button and round answers to two…

A: Given: Cylinder radius = 19 cm and height = 31 cm.

Q: At atmospheric pressure, a sample of gas has a volume of 2.86 L at 29°C. Should the temperature be…

A: Given : Initial volume of gas V1 = 2.86 L And initial temperature T1 = 29°C   To find : Volume of…

Q: From a lighthouse, ship A is at a distance of 6 √5 miles and on a bearing of 040° and ship B is at a…

A:

Q: The remaining mass of a drug in a persons blood stream is modeled by the equation below , where “M”…

A:

Q: How much time will it take for a spider crawling across the floor at .5 m/s to get 4 meters away? 8…

A:

Q: A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on…

A: Initial temperature of turkey(T0) = 185° F Room temperature (Ts) = 75° F a) If temperature after 30…

Q: Given G = 6.66 x 10-8 C. G. S. unit, c = 3 x 10¹0 cm/sec. M = 1.99 x 1033 gm. Also if in the case of…

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Q: If n birds eating continuously consume V in³ of seed in T hours, how much does in bird consume per…

A: topic- algebraic operations

Q: A roast turkey is taken from an oven when its temperaturehas reached  185  °  F  and is placed on a…

A:

Q: If C = 100, k = 0.1, and t is time in minutes, how long will it take a hot cup of coffee to cool to…

A: From Newton’s Law of Cooling, we know that T(t) = Ts + Cekt Given C = 100, k = 0.1 Consider freshly…

Q: h is jointly proportional to q and v. It is found that q = 9 and v = 8 when h = 3. k =

A:

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: a)   The distribution of M is constructed below:   From the given information, X and Y are…

Q: a) An electrical voltage E is given by E = (15sin50nt + 40cos50rt) volts, where t is the time in…

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems. These 2 are…

Q: Under certain conditions, the power P, in watts per hour, generated by a windmill with winds…

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Express cos N as a fraction in simplest terms. L 28 M N 21

A:

Q: he formula given below gives the expansion I of a particular highway of length L at a temperature of…

A: Given the formula for the expansion (l) of a particular highway of length L at a temperature of T…

Q: 1 a. Caleb rides his bike with a constant speed of 8 miles per hour, How long will he take to travel…

A: Given that Caleb rides bike with a constant speed of 8 miles per hour. Distance travelled is 20…

Q: The displacement d​ (in meters) of an object at time t​ (in seconds) is given by the following…

A: d= asin(wt)

Q: Between  0 ° C and  30 °C, the volume V (in cubic centimeters)of 1 kg of water at a temperature T is…

A: Objective: To maximize Density Note that Volume is inversely related to density and so minimizing…

Q: The speed, s, meters per second, at which a liquid flow from a small hole in a (19. 6h) 2, where h…

A:

Q: According to experied baristas, the ideal temperature to serve coffee is between 155°F and 175°F.…

A:

Q: An individual’s blood pressure, P, at time t is given by P(t) = 90+25sin2t. Find the values of the…

A: Given the equation of an individual's blood pressure is P(t)=90+ 25sin2t at time t, Now to find the…

Q: A coffee has a temperature of 90°C when freshly poured. After 5 minutes, the coffee has cooled to…

A: This question is based on Newton's law of cooling.

Q: 8) The force generated from the rodless chamber in a pneumatic cylinder is given as: where d is the…

A:

Q: At 1 p.m. a thermometer reading 80°F is taken outside where the temperature is constant. At 1:05…

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Q: The density of a rock will be measured by placing it into a graduated cylinder partially filled with…

A:

Q: Solve for h: V= (pie)to the 2 power times h

A: We have to get h alone on one side.

Q: The velocity of particle A, t seconds after its release is given by va(t) =2.Se0.5t meters per…

A: .

Q: The oxygen consumption of a well-insulated non-sweating mammal can be estimated from the formula…

A:

Q: The volume of a box is given by: V(x) = x(8 – 2x)(12 – 2x), 0<x<4 cm, where x is the side length of…

A:

Q: Three resistors with resistances R1 = 10.7 ohm, R2 = 14.3 ohm, and R3 = 19.4 %3D ohm are is series…

A:

Q: Solve for the specified variable.

A: The equation is to be solved for the specified variable. The given equation is  K=12mv2 The…

Q: The height g metres, of a ball hit vertically upwards t seconds after it is hit, is given by g()=…

A: The height of the ball thrown vertically upwards is given by gt=4t-t2 where t is time in seconds.…

Q: b) A coffee has a temperature of 90°C when freshly poured. After 5 minutes, the coffee has cooled to…

A:

Q: A 6-foot-high conical water tank is filled to the top. When a valve at the bottom of the tank is…

A: A 6-foot-high conical water tank is filled to the top, the height h, in feet, of the water in the…

Q: The calorie count of a serving of food can be computed based on its composition of carbohydrate,…

A: Substitute the values for f , h , p in the equation, C=4h+9f+4p and solve for C to find its value.

Q: A particular satellite has a radioisotope power supply, with power output given by -t P = 60e300…

A: Here, power output is given by  P = 60e^(-t/300)  t = time in days

Q: 3. The height of an object thrown upward from the roof of a building 408 ft tall, with an initial…

A:

Q: The value of a machine, V, at the end of t years is given by V = C(1 – r)', where Cis the original…

A: The value of the machine is:-

Q: A 6-foot-high conical water tank is filled to the top. When a valve at the bottom of the tank is…

A:

Q: * A hard-boiled egg at 97°C is put into a sink of 15°C water. After 5 minutes, the egg's is 35°C.…

A: Newton's cooling law is used

Q: A baseball is hit so that its height, s, in feet after t seconds is s=-16t + 44t + 4 () For what…

A: Consider the height of the baseball.

Q: If a ball is thrown into the air with a velocity of 58 f'/sec , its height (in feet) af ter t…

A:

Q: If a ball is thrown into the air with a velocity of 58 J'/sec , its height (in feet) af ter t…

A: Solution: Given: H= 58t -16t2

Q: find the amount of heat (Q) needed to raise the temperature of 5.00 g of  a substance from 20.0oc to…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.