1. A house is bought in an up and coming Texas neighborhood. The table below shows the value of the house, V(t), after owning the house for t years. t in V(t) value of house years $150,000 4 $225,000 6. $337,500 8. $506,250 a. Determine the price of the home after 12 years. b. Use the function properties that you learned previously to make a conjecture as to the type of function that models the given data. What type of function models this pattern? C. Why can't you use the pattern to find V(15)? d. Find a particular equation for V(t) and verify that all of the V(t) values in the given table satisfy the equation. (Leave your equation exact.) e. Evaluate V(15). f. In what year will the house be worth 5 million dollars? Give both, the exact (without calculator) and approximate (with calculator) answers.

Q: Follow the steps to find the equation of the tangent line to y-(1+6x) at x 1. This problem has two…

A: Given y=1+6x4x To find the equation of the tangent line at x=1

Q: A car accelerates constantly from speed 0 m/s to 60 m/s in 30 seconds, remains at this speed for 20…

A: First step is to write down all the data that we have.

Q: Find the equation of the vertical asymptote f(x) = log(x – 1)

A: The graph is shown below:

Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

A:

Q: 22 To solve y =cy - by' change to u= 1/y?. Substitute for y in um - 2yly³ to find a linear equation…

A:

Q: Consider a television camera positioned 1 km from the base of a launching pad and that the rocket is…

A:

Q: Find the derivative of the logarithmic function. 3x f(x) = In %3D x+2,

A:

Q: Can you explain step by step

A: Step 1:If you need it in ln (i.e loge) instead of log ,write everywhere (ln) instead of logStep 2:…