2. Matter cools governed by = -k(T – B) where ß is the dt temperature. Clearly T(0)=25 degrees and the constant k=0.5. In steps of 5 degrees determine T(40)

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A:

Q: Find an equation of the line tangent to the graph of G(x) = 4 e - 7x at the point (0,4).

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Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

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Q: Find the GS for x³y"" + 6x²y" + 4xy' — 4y = 1 − x − 2x² -

A: Solution:-

Q: Solve the polynomial congruence: x³ - 3x² +27= 0 (mod 225).

A:

Q: Solve csc(x) – 2 = 0 on [0, 27]

A: Let's find.

Q: 6. A liquid starts at a temperature of 190 F and cools down in a room held at a constant 65 'F.…

A: NOTE: Refresh your page if you can't see any equations. .  room temperature = 65 initial…

Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

A:

Q: (3.1) Use the graph to determine p and q, and hence write down the equation that defines h. (3.2)…

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Q: For the function f(x)=5.log (x* - 10x +x+30)-5, on the interval (-4, 4), approximate the local…

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Q: The temperature of a chemical reaction oscilllates between a low of 40 degreesC and a high of…

A: Solution :  Given ,  The temperature of a chemical reaction oscilllates between a low of 40 degreesC…

Q: Consider the following function. g(x) = -x² + 3x + 3 Find the first and second derivatives of the…

A:

Q: Suppose the function p(t) models the size of the population of wolves in a forest at time t, where…

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Q: Use the equation and type the ordered-pairs. y = log, z %3D ((1/2, ), (1, ), (2, ). (4, ), (8, ).…

A:

Q: The population P of a city is given by P = 80, 000e0.015€ where t represents the year, with t = 0…

A: Given information: Given that t = 0 corresponding to 2000. The population is P = 100,000. The given…

Q: Select all the lines that are needed to find the inverse of y = log, (x + 1) – 2 in the appropriate…

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A: Given function is: Th=-12cosπ12h-1+75 where T is degree in Fahrenheit and h is the number of hours…

Q: 3. A tank initially contains 10 kilograms of chlorine that has been dumped into 1000 liters of…

A: We will construct an initial value problem according to the given informations and will solve it.

Q: Find the given value. g(x) = 5x3(x2 − 5x + 4),    g'''(0) g'''(0) =

A: Use derivative to get the value of g^"'(0).

Q: Let g'(x) 0. B. g(1) = - 3, g(7) = 1, g(15) = 10 1 C. g(1) = 1, g(7) = 7, g(15) = 14 D. g(1) = 10,…

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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.