12 a) Mark the two points on the graph that are needed to calculate Average Rate of Change over the interval - 5, - 2. 12 -10 -8 -6 b) Connect the points with a line segment. c) The Average Rate of Change over [ – 5, - 2] is -6 -14- Clear All Draw: Dot Line Segment Add Work Submit Question 2. 6.

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A:

Q: The curve y = ax2 + bx + c passes through the point (2, 32) and is tangent to the line  at the…

A: Given curve: y = ax2 + bx + c passes through (2,32) and  (0,0) line at the origin is tangent to the…

Q: draw 4 level curves of f(x,y)=e^-x+y

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Q: curve Y = √x closest to the point (5,5

A: The given curve is y=x.

Q: 28. The line tangent to the graph of g at the point (x, y) inter- sects the x-axis at the point…

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Q: The tangent line to the graph of y = h(x) at the point (-1, 7) passes through the point (5, 4). Find…

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Q: What are the coordinates of the points in the graph of y2 – x² + 6x – 13=0 in which the tangent line…

A:

Q: The tangent line to the graph of y g(x) at the point (4, 2) passes through the point (1, 4). Find…

A: Tangent line to graph g(x) at a point (4,2)⇒(4,2) is point on g(x)g(4)=2

Q: In Exercises 33–36, find the lines that are (a) tangent and (b) normal to the curve at the given…

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Q: 6. 2.5 6.5 Determine if a tangent line is shown in

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Q: The tangent line to the graph of y = g(x) at the point (4, 5) passes through the point (7, 0). Find…

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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: 6. Show that there are no tangents to the graph of 5+2 that have a negative slope. .

A: Given function:- y=5x+2x+2

Q: The minimum information to find a line equation is : *

A: Given problem is :

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A:

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then…

A: Given query is to find the equation of the tangent at given point.

Q: Find the equation of the line tangent to the graph a the given point using definition and verify by…

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Q: 9. Find the exact distance between the line 6x – y = -3 and the point (6,2). Show your work. Explain…

A: Note: There are many questions in the above picture. So I will answer the first question and please…

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

Q: ind the curve that has slope (x+1)^2 and that passes through the point (−2 8)

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…

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Q: The following graph shows the approximate value of the U.S. Consumer Price Index (CPI) from…

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Q: In the qiven question , estimate the slope of the graph at the points (x1, y1 ) and ( x2, y2 ). see…

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Q: 1.) Find the slope from point C to point D. rise %3D (2- Y1) Slope = m = run Submit A

A: Slope between c to d

Q: What does the slope of a secant line through two points on the graph of a distance vs time graph…

A: lets consider

Q: 15 Determine if a tangent line is 16 shown in the figure. A no yes C not enough information

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Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 2 2 At which exact points…

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Q: 6 8 10

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

Q: passes through the points (-2, -9) and (4, -6)

A:

Q: 1.) Find the slope from point C to point D. rise (2- Y1) Slope = m = run %3D Submit A

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: The tangent line to the graph of y = g(x) at the point (6, 4) passes through the point (2, 9). Find…

A: The tangent line to the graph y=g(x) at the point (6,4) passes through the point (2,9). Note:…

Q: The tangent line to the graph of y = g(x) at the point (9, 1) passes through the point (4, 6). Find…

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Q: Suppose the slope of a certain curve at any point (x,y) is The curve is a(an)

A: slope of a certain curve at any point (x,y) is -xy.

Q: A tangent line to y=1/x^2 intersects the x-axis at the point A and the y-axis at point B. What is…

A: Please note: The line tangent to the given function intersects the x-axis at a point A and the…

Q: Wallis is seated on the line tangent to y=4-3x-x2 at the point (2, -6).

A: wallis is seated on the line  tangent to curve   y=4-3x-x2   at point 2,-6

Q: What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent…

A: As we know that; The slope of the horizontal tangent line is zero or m=dydxPx0,y0=0 Given;…

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

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Q: ermine the coefficients of a,b,c a

A: Given,       y=ax3+bx2+cx+d                          and critical points are (1, 0) and (-2, 27).

Q: How many tangent lines to the curve y = pass through the point (1, 2)? X + 6 2 At which points do…

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Q: ve y = ax 2 + bx + c passes through the point (2, 4) and is tangent to the line y = x + 1 at (0, 1).…

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Q: 2)a) Sketch a single graph that is only increasing and only concave down.

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Q: Points A and B on a simple curve have a perpendicular distance from the tangent at point O equal to…

A: Suppose we can draw the given curve - The perpendicular distance of point 'A' from a tangent i.e.…

Q: 3. If the graph of y=fcx) has a horizontal tangent at x=a, what is happening at this point ? I…

A: For a function ; a point is considered. A horizontal tangent exists at this point which means that…