Find the slope of the curve y=2-x^2 at the given point (3,-7) and the equation of the line.

Q: line perpendicular to a line with a slope of -2/5, which goes through the point (-2, -4).

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Q: Find an equation of the line below. Slope is - 2; (7,2) on line What is an equation for a line that…

A: Given, Slope of the line = -2  Point on the line = 7, 2    We have to write the equation of the line…

Q: limit.

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Q: Distance between two points (-2,-9) and (-1,8)

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Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your…

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Q: Slope -8/7; containing the point (7,4)

A: Given information:

Q: Slope of a line which cuts intercepts of equal lengths on the positive sides of the axes is

A: SOL:→ Given : Equal intercepts or +ve sides of the axes.∴ Equation of Line ⇒ xz+xb = 1∴ a=b → equal…

Q: а. 10 Slope: x-intercept: 5- у-intercept: equation: |-10 -5 10 b. Slope: x-intercept: -10 -5 10 15…

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Q: explain the concept of isoquant and isocost line in frim theory.mathematically derive the slope of…

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Q: Finding the Derivative by the Limit Process InExercises 1–4, find the derivative of the function by…

A: Given function is: f(x) = 12 We have to find the derivative of f(x) using the limit process.

Q: Endpoint of (-2 -2) and midpoint (-1½, 1)

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Q: Locate the relative extremum and point of inflection. Use a graphing utility to confirm your…

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Q: Find the point on the graph of y = (2x - 1)^3 + 6 where the normal line is vertical. Thanks

A: We have to find the point on the graph where normal line vertical

Q: Determine the slope-intercept from of the line from the graph. Reproduce the graph in your solution!

A: Here, we need to find the slope-intercept of the line of the below graph.

Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: The chain rule is used to differentiate a function which is the multiplication of two functions. Let…

Q: point-slope form.

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Q: Using slopes what is the shape of the graph

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Q: Line A, y = 1/3x - 1, is perpendicular to line B which contains point (-2, 0). What is the equation…

A: let equation of line perpendicular to y = 1/3x - 1 is 1/3y=-x+c

Q: rcept equation from Find the equation of the line. Use exact numbers. y = 6. 8+ 7+ 6- 5+ 4- 3. 1-…

A: We have to find the equation of line in slope intercept form.

Q: Estimate the slope of the graph at the points (x,Y) and (x2, Y2). At (x1, Y1), slope At (X2, Y2),…

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Q: using limit definition Find the slope of the curve y=2-x^2 at the given point (3,-7) and the…

A: Solution is given as below:

Q: Find an equation of the line having the given slope and containing the given point. (9,-4) The…

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Q: Determine the equation of the vertical line passing through the point (6,0). Determine the equation…

A: Write the equation of the line perpendicular to y=8 through the point (7,−7)

Q: Equation of a like that passes through the point (4,-2) and has a slope of 1/4?

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Q: A line passes through the point (-5,3) and has a slope of -2. Write an equation in point-slope form…

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Q: Find the equation for the line with the given properties. Express your answer using the general form…

A: Any line whose equation is of the form x = a is a vertical line.  Thus, the given line, x = -12, is…

Q: A straight line has slope 3 and y-intercept (0,1). Does the point (-1, -2) lie on the line

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Q: Slope (a) Sketch lines through (0,0) with slopes 1, 0, 4, 2, and -1. (b) Sketch lines through (0, 0)…

A: a) Given point (0, 0) with slope 1, 0, 12, 2 and -1

Q: car is worth $5600 when it is 7 years old and $4500 when it is 11 years old. What is a formula, in…

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Q: Closest point on a line What point on the line y = 3x + 4 isclosest to the origin?

A: Given: y=3x+4 let's pointx,3x+4 is closest to the origin if pointx,3x+4 is closest then products of…

Q: B. Passing through the point (0, 5) and perpendicular to the x-axis, Given Information Equation of…

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Q: slope -, y-intercept - slope 12 slope 3, passes through (1, –9) - passes through (4, 2) and (3, -2)

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Q: Point (-2, 7), slope = -3 %3D b. Second point:

A: we have point (x1,y1)=(-2,7) and slope m=-3

Q: À line I has slope 1. What is the slope of the line perpendicular to line 1? What is the slope of…

A: for two  perpendicular lines m1m2=-1 m1= slope of one line m2= slope of perpendicular line

Q: (a) Using practical examples from the field of calculus compare and contrast the concept of slope…

A: (1) By definition - Differentiation or derivative A derivative of a function is a representation of…

Q: Line j passes through the points (-5,-2) and (5,4). Line k passes through the point -3,6) and is…

A: Equation of line passing through points x1,y1 , x2, y2is defined as y-y1 = y2-y1x2-x1x-x1 Equation…

Q: (4,2),(-4,6) slope- slope-intercept form-

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Q: Describe how to graph a line using the slope and y-intercept. Provide an original example with your…

A: The equation of a line in slope-intercept form is given by: y=mx+c,Where,m=slope of the…

Q: Horizontal & vertical lines What is the equation of the vertical line through (-8, 5)?

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Q: A line passes through the points (9, 7) and (0, 4). What is its equation in slope-intercept form?…

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Q: Ballistics Ballistics experts are able to identify theweapon that fired a certain bullet by studying…

A: Ballistics Ballistics experts are able to identify theweapon that fired a certain bullet by studying…

Q: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

A: We are going to fence in a rectangular field that encloses 200 m2. If the cost of the material for…

Q: Find a point on the line and the line's slope. y-1=-«-4) point on the line: (ID Undefined slope:

A: Line

Q: Line r has an equation of y = x - 10. Parallel to line r is line s, which passes through the point…

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Q: Point (-9, -3): Slope = 3

A: SOLUTION-

Q: calculus help Find and classify the local maximum and minimum values of g(x) = e(x^3/12)-x using…

A: Given:Here g(x)=ex312-xTo find:The local maximum and minimum values

Q: A line with a slope of -9 passes through the points (6,n) and (7,-5) what is the value of n?

A: A line with a slope of -9 passes through the points (6,n) and (7,-5) what is the value of n?

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.