Question

Asked Sep 9, 2019

69 views

The point ** P(16,8)** lies on the curve

Let **Q** be the point **( x,√x+4)**.

A.) Find the slope of the secant line

If

and if

and if

and if

B.) Based on the above results, guess the slope of the tangent line to the curve at

1 Rating

Step 1

The points P= (16,8) and Q= (x, x^1/2+4) lies on the curve which is given by:

Step 2

If the secant line is passing through the points P = (x_{1}, y_{1}) and Q = (x_{2}, y_{2}) then the slope of the secant PQ is given by:

Step 3

Now, at x=16.1 the point Q is (16.1,8.01). then the slope of secant l...

Tagged in

Q: (a) Find parametric equations for the line through (4, 5, 4) that is perpendicular to the plane x −...

A: Parametric equation of a line passing through (x1, y1, z1) and perpendicular to the plane ax + by + ...

Q: F(x)= cot x, [pi/6,pi/2] Find the average rate of change of the function over the given interval. Y...

A: The average rate of change of f(x) over the interval [a,b] is defined as A=[f(b)-f(a)]/(b-a).

Q: A tank contains 24 gallons of water when all of a sudden the water begins draining at a constant rat...

A: Given that, a tank contain 24 gallons of water.The water draining at a constant rate of 2 gallons pe...

Q: The fiqure shows retail sales s of electricity, in quadrillion kWh, to residential consumers with re...

A: Since the graph is going upwards on the right side so it is increasing. Answer(a): Increasing

Q: gs Due in 22 hours, 44 minutes. Due Tue 09/03/2019 3:30 pm Scott runs a 100-meter race. 6 seconds af...

A: Part (a)At time t1 = 6 seconds; distance, s1 = 35 metersAt time t2 = 11 seconds; distance, s2 = 75 m...

Q: Use the substitution rule for definite integrals to evaluate the following definite integral. 2+7) (...

A: The given integral is

Q: Show that the equation represents a sphere, and find its center and radius. Please show all of your ...

A: The general equation of a sphere is,

Q: When using u substation what should I use as the u when the problem is the intergral of cos3(x)sin(x...

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.

Q: Find the average rate of change between the x values. f(x)=7x+1; x=3 and x=4

A: Consider the provided function and given values of x: