a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the interval [– 4, – 3]. 14- 10- b) Connect the points with a line segment. 8- c) The Average Rate of Change over [-4, - 3 6- 4 2- 12 -10 -6 -4 -2 -2+ Clear All Draw: Dot Line Segment is

Q: Find the distance between the point (5, 1) and the line y = 3x + 1. O 3V10 O 7/10 O 9/10 O 5V10

A:

Q: The point on the curve y = 2-x nearest to (3,2) is (1,1) (0,2)

A:

Q: 6. Aliza says that there is no tangent line with a negative slope for the. Stella disagrees. Who is…

A:

Q: Find the distance between the points (3,6) and the line x - 2y +3 =0.

A:

Q: Find the orthogonal trajectories for the family of curves. Use a graphing utility to graph several…

A: Given          5x2-4y2=C       Differentiate w.r.t to x       10x-8y dydx=0…

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following…

A:

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: Determine the family of curves such that at each point the slope is given by 2xy^2

A:

Q: 27. (a) In Figure 2.30, which line, OA, BA, or CA, has slope f(x)/x for some x? For what value of x?…

A:

Q: What is the slope of the secant line that passes through the points(a, f(a)) and (b, f(b)) on the…

A: Given: The secant line passes through the points a,fa  and  b,fb. Concept used: The slope of a line…

Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the midpoint of points A(-9,7) and B(1, 10) graphically.

A: We will use section formula to find solution to the problem .

Q: Find the point on the graph of y = x3 such that the tangent at the point is parallel to the line y –…

A: Consider a graph: y=x3……1   Equation of line parallel to the tangent of above equation is:…

Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?

A: Let's find.

Q: Find the midpoint of points A(8, –7) and B(3, –1) graphically. Plot the line segment AB by clicking…

A: The graph is shown below:

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

A:

Q: Find the length of the curve y = In(1-2) over the interval

A:

Q: 7. By definition find the slope of curve y = x2 – 2x – 3, at P(2, 3).

A:

Q: Find the distance from point P to line L.  P(3,-1,4), L: (x-4)/-1 = (y-3)/2 = (x+5)/3

A:

Q: 4. Find the member of the curve whose slope at any point is and passes through the point (3, 4)

A: Given slope (m) = 3x/4y Passing through a point (3,4) Therefore member of the curve whose slope…

Q: Consider the function f(x) = 4x - x² and the point P(1, 3) on the graph of f. (a) Graph f and the…

A: Consider the function fx=4x-x2 and the point P1, 3 on the graph of f.a To graph f and the secant…

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

A:

Q: Find the points on the graph of circle defined as (x – 1)2 + (y + 3)2 = 16 where the normal line is…

A:

Q: The slope of the tangent line to the graph of the function y = 8Vx – 3 at (9, 21) is %3D 1.33 -2.33…

A:

Q: 1. Find the point on the line y = x nearest to the point (4, 1).

A: Since, we have been asked to solve part(i) which aims to findthe point on the line y=x nearest to…

Q: Given the curve h(x)=x2−7, find the point on h(x) is closest to the point (57,−7). Enter your answer…

A: topic -curve and distance from a point

Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

A:

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Find the member of the curve whose slope at any point is 2e** and passes through the point (0, 1)

A: We need to find the member of the curve whose slope at any point is 2e^(4x) and passes through…

Q: The slope of the line tangent to the graph ofy= xe^ at x =In 2 is A 2 In 2 2 In 2+2 B.

A:

Q: 6 8 10

A: if this line is tangent then in this triangle we  can use pythagorean theorem C

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula:    Distance between the points…

Q: what is the slope of the tanget line to the graph of x-= Incxy) at the point ClD (1.1)

A:

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: 1) Find the slope of the linels) tongent to the graph of (y+x)²-y =x² at X=0.

A:

Q: At which labeled point the slope of the tangent line is greatest? » 12.5 11 9.5 8. 6.5 3.5 R] 05 + 2…

A: To Determine: At which labeled point the slope of the tangent line is greatest?…

Q: Let f(x) =4x divided by x -3. Find the slope of the secant lines on the graph of F through P(5, 10)…

A: f(x)=4x/(x-3) P(5,10) and Q (6, a)  (say) a= f(6)= 24/3 =8  Q(6,8) is

Q: What are the coordinates of the points in the graph of y-x+6x – 13=0 in which the tangent line is…

A:

Q: 144. Identify the length of the curve y = x over the interval [2,6] 49

A:

Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Identify the slope from the line of best fit y = |- 0 NIN 31 0-²

A: Solution-: The given regression line is  y=27-13*x We want find the slope of the regression line

Q: What are the coordinates of the points in the graph of y-x²+6x – 13=0 in which the tangent line is…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 4. Calculate the difference quotient for each of these secant lines. Insert the calculated values in…

A:

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Suppose a researcher collects data on the air pollution levels, measured in milligrams per cubic…

A: The plot is such that the urban air pollution levels are on the horizontal axis.  And the rural air…

Q: Find the length of the curve over the given interval.

A: Answer and explanation is given below

Q: What is the slope Curve y = of the +9 tengent Jine to the when X=4?

A: