(a) Chemical reaction often follows the model: dc -kc" dt where c=concentration, 1= time, k= reaction rate and n= reaction order. Using the fundamental of logarithmic, the above reaction can be written as: log (-) = log k + n logc Use this approach along with the following data to find the value of k and n: 15 20 30 3.97 2.83 1.56 22 28 34 40 46 2.71 1.63 1.15 0.94 0.34

Q: Condense the logarithmic expression 13. log3 8+2log3 -log3 16 21

A:

Q: Earthquake area in the Central states Refer to Exercise 64. For the Rocky Mountain and Central…

A: Given that, R=2.3logA+14000-6.6  Need to evaluate A when R=4.

Q: ↓ 10. Change from logarithmic form to exponential form y = ab" y 5 1 -13 log, y=5.3¹ 11

A:

Q: Find a logarithmic equation that relates y and x. (Round all numerical values to one decimal place.)…

A: Given table: x 1 2 3 4 5 6 y 0.250 1.414 3.897 8.000 13.975 22.045 To find: A logarithmic…

Q: loge 3+ logs 2 = %3D Select one: Oa. 1 b. logs (3/2) O c. log 5

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

Q: The loudness L, in decibels (dB), of a sound is given by L = 10 log, where I is the intensity of the…

A:

Q: If loga (3x + 2) + log, 1= log, 8 then x= %3D Select one: Oa. 1 O b. 0 Oc. 2 d. 3

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

Q: Managements of sports stadiums and arenas often encourage fans to make as much noise as possible.…

A:

Q: State the domain and the range for Y = log10(x)

A: We use the definition of loga(x), to find domain and range of Y=log10(x).

Q: Calculate "y" in the following expression: -log(y) = 3. y = i

A:

Q: 2 log, 5 = log %3D 8.

A:

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Given that H = -30.98 + 1.822t2-0.9193t2log(t). Where t is age in week.

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.