3: A house on a map is measured at 1 inch. Our Zoom feature makes it 50% bigger with each click. With the exponential formula. f(x) = 1(1.50) How big is the house after 5 clicks? Approximately what number of clicks would get you to 1.5 ft in size?

Q: Assume that the population grows exponentially with constant annual percent increase, r. a. The…

A: a) Let us assume the population grows exponentially with constant annual percentage increase, r.…

Q: The population of Gibsonville in the year 1930 was 3100. Assume the population increased at the rate…

A:

Q: Solve. log 216 =x

A: Given,           log216=x

Q: The dollar value vt of a certain car model that is t years old is given by the following…

A:

Q: Solve. log, (t) = 4 %3D

A: To solve:log6t=4

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: Graph the following exponential function. Make a table of values and label the equation on the…

A: y=2·3x                           at x=0,     y=2·30 = 2at x=1,…

Q: The speed of light is 2.9979 × 108 m/sec. Approximate log (2.9979 × 108). log (2.9979 × 108) ~ 3

A: We need to approximate log2.9979×108.Log formula: logMN=logM+logN ; logxn=nlogx

Q: Solve for y in terms of x. Simplify your answer. Show all steps.

A: given, log4y=-x

Q: Stephanie invests $115,000 at 6.7% interest, compounded continuously. What is the value of his…

A:

Q: Engineers are draining a water reservoir until its depth is only 10 feet. The depth decreases…

A: Given: Depth after 1 hour is 64 feet and depth after 4 hour is 28 feet.

Q: Fill in the table for the exponential function given by f (x) = 3 (2)" 0 1 C X -1 f(x) a a. -8 2 d…

A: Let's find value of a,b,c and d.

Q: Solve. (a) log, 0.04 : -2 (b) log, (2x – 4) = log, 36 %3D

A:

Q: (logser log) %3D 2. the value of + Then fin of

A:

Q: Create a table of values and sketch the exponential function: y = 2.0(4)x

A:

Q: 6. For the exponential function given below: f(x) = -2x-1 +4

A:

Q: Write the equation for the function: (3, 8) -8 6 2 (0.1) 2.

A:

Q: Write the equation for the function: 25 (0, 20) 20 15 10 (1.2) -5 5. 10 15

A:

Q: Find the exponential equation whose graph passes through the points (-2,) and (3,250) 25 y =

A: The exponential equation whose graph passes through the points -2,225 and (3,250).

Q: Direction: Solve for x given the following Exponential Functions 1. 162x-3 = 4x+2 2.)2x = 23-x 3.…

A:

Q: Log

A:

Q: In 2019, the US population was 328.2 million. In 2000, the US population was 282.2 million. Find the…

A: Initial condition they are given  In 2000 the US population was 282.2 million t=0 and P=282.2…

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.