Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32 %3D What is f when c is 30? 77 86 95 104

Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: Integrating dE/dt we get E(t)

Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

A:

Q: The velocity of an automobile starting from rest is given by the equation below, where v is measured…

A: GivenThe velocity of an automobile starting from rest is given by the equation below, where v is…

Q: H(t) models the rate of hoverboard sales, in hoverboards per day, from an electronics store during…

A: H(t) is the rate of hoverboard sales, in hoverboards per day. To get the exact number of sales over…

Q: The picture shows the approximate temperatures at which most seawater boils and freezes. 120 °C…

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Q: The data for temperature profile along the heated rod is given as: T 40 50 60 70 80 600.5 600.6…

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Q: Solve the following using exact equation or linear whichever is applicable. (x + y) dx + (x − y) dy…

A:

Q: The Body Mass Index (BMI) is a rate of a person's weight in kg divided by their height in meters…

A: Let's find.

Q: The temperature T, of a chemical reaction is given by: T = 160e0.01t where t > 0, is time in…

A:

Q: Suppose an object is thrown down from a cliff with an initial speed of 4 feet per sec, and its speed…

A: Given, speed of the object after t seconds is, st=32t+4. So, it can be written as st=dhdt=32t+4,…

Q: The velocity (in ft/s) of a sky diver t seconds after jumping is given by v(t)=75(1−e^−0.2t) After…

A:

Q: Create a table of relative differences and then use it to calculate the value of f(4.5) using…

A: The interpolating polynomial resulting from the divided differences method is given by:…

Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is…

A: Given query is to find the value of I for whih P is maximum.

Q: So, the distance between two charged particles is d and the electrostatic force is F, in newtons,…

A:

Q: The value V of a jet ski t years after it was purchased can be estimated using V(t)= 3,795/t +610…

A: Given that The value V of a jet ski t years after it was purchased can be estimated using V(t)=…

Q: The value of a machine, V, at the end of t years is given by v=C(1-r)t, where C is the original cost…

A: Consider the function for machine value: v=C1-rt v=Future valueC=Original costr=Ratet=Time

Q: Q2) A shunt DC generator whose external characteristic is given by the equation: VL = 250 - 0.5 I a)…

A: A shunt DC generator whose external characteristics is given by the equation…

Q: The temperature T, of a chemical reaction is given by: T = 130e0.05t where t > 0, is time in…

A:

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: in the tank at t minutes is given by 10t c(t) = 25 +t' where c is measured in grams per litre. When…

A: Let's find.

Q: The weight of a particle is W and it moves with a velocity of vo fps at A and slides vertically…

A: Here we have to find horizontal and vertical components of velocity when the block leav surface of…

Q: In one individual, the proportion of alcohol absorbed into the bloodstream after drinking two…

A: 12 hour= 12×60=30 minutes We have to find the percentage of alcohol after 30 minutes.  So, t=30, we…

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 rate (in mg carbon/m?/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: "f(x) = f' (5) = = ?. then %3D ?. I+5 (Answer accurate to 2 decimal places.)

A:

Q: The value of a machine, V, at the end of t years is given by V=C(1-r)t where C is the original cost…

A: Given,          The value of a machine, V, at the end of t years is given by V=C(1-r)t ;…

Q: Find an equation of the form y = ab" + c sin G2) that fits the data below 3 32 122 X 1 2 y 2 14 To…

A:

Q: Ontario's vaccine booking website will be used to schedule covid 19 vaccination appointments for…

A: To solve the following problem

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

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: Experiments with a covered cup of coffee show the temperature of the cofee can Be following equation…

A: The temperature of the coffee can be modeled by the equation ft=112 e-0.08t+72 where t is the time.…

Q: Use the model given to answer the question about the object or process being modeled.

A: Given- P=14.7+0.45d To make- (a) A table that gives the pressure for each 10 feet change in depth ,…

Q: The population of bacteria is directly proportional to the temperature. There are about 10 million…

A: The population of bacteria is directly proportional to the temperature it means number of bacteria…

Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: 2. (2ху — Зх?) dx + (x? + у) dy 3D 0

A: The differential equation is (2xy-3x2)dx+(x2+y)dy=0. Let P=2xy-3x2 and Q=x2+y. To know whether a…

Q: Find F(s). L[t(e + e)?) F(s) = %3D

A:

Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

A:

Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is – 10°F (ten…

A: As per oyr guidelines we are supposed to solve only one question. For the solution of the first…

Q: 18. A pH of 7. of 7, while dioxide in presented the lake's A) 4.0 B) 5.0 C) 5.7 D) 7.5

A: It is an important part of statistics. It is widely used.

Q: Based from the problem attached, find the time required for the body to reach temperature of 50…

A:

Q: dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with…

A: To find thw operator's efficiency, we need to find the the differential equation.

Q: Table Q1: Temperature of an electrical heating oven over tHme Time in minutes (x) Temperature in…

A:

Q: The value of a machine, V, at the end of t years is given by V=C(1-r)t, where C is the original cost…

A: Given:  V=C(1-r)t Where, V=Value of a machine, at the end of t years.              C=$1919 (Original…

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

A: Surface area =4πr2 surface area=π2r2As we know DiameterD=2rsurface area=πD2

Q: The given data is: x² + y² + z? = 4 dz To find the value of dx

A: Take the derivative with respect to x and represent all terms for dz/dx.

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t – 13)² , for 0sts 13, where…

A: Givenv(t) = (t-13)2 v'(t) = ddt(t-13)2          =2(t-13)ddt(t-13)

Q: Given this equation for converting temperature from Celsius (c) to Fahrenheit (f): f = (9/5)c + 32…

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.