Aiming a tangent line Given the function ƒ and the point Q,find all points P on the graph of ƒ such that the line tangent to ƒ atP passes through Q. Check your work by graphing ƒ and the tangentlines . ƒ(x) = x2 + 1; Q(3, 6)

Q: State the x-coordinate(s) of the turning point(s) of the function. 8a If there is more than one…

A: Here we find the slope at turning points.

Q: Given f(x)=x²-3, find the equation of the secant line passing through (-4, f(-4)) and (2, f(2)).…

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: If you like the solution then please give it a thumbs up... The Answer is :           y  =  - x + 2

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7*2 - x3, (1,6) y=…

A: Given that the equation of the curve is           y = 7x2 - x3

Q: Let g(x, y) = 3 + x3 - 6 . x2 - 5 . y2 +1. - a. да дх S

A:

Q: Find domain, range and level curve of following function and write name of the function which is…

A: Fon the given function f(x,y)=ln(y+x^2) we need to find the Find domain, range, and level curve of…

Q: 9. For f(x)=sin(2x+1)+2: (a) Complete a table of values for the "key" points. (c) Write a mapping…

A:

Q: The base of a 37-foot ladder is 9 feet from the wall. Will the top reach a window that is 35 feet…

A: Let the height reached by the ladder be 'h' By Pythagoras theorem h2 + 92 = 372 => h2 = 1369 -…

Q: For this item, show matches by dragging the answers into the appropriate boxes. Match the key…

A:

Q: Graph the function F(x)=1/2x-4. Use a line to draw the line x=4 and then use a dot to graph the…

A:

Q: Slope of Line PQ -5 Slope of Line PQ Q (-1, 1) (-2, 6) = -5 (-1, 1) (0, ) 1 (-1, 1) (-1.5, 3.25)…

A: The given function y(x) = x2 – 2x – 2   part (a):   P and Q are point given on the graph of f(x),…

Q: The points A, B, C, D are on the graph of y = f(x). A B 0 C D

A:

Q: y = g(x) 1 F6 -5 -4 -3 -1 6 -3

A: Now , we will find the solution using the given graph

Q: y 4

A: Given: - The graph of f and g, To sketch: - The graph of the function f(g(x)),

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: