A) A function because the vertical line test only intersects the shape in one point B) NOT a function because the vertical line test intersects the shape in more than one point C) Both a function and NOT a function because the vertical line test doesn't work D) None of the above

Q: Verify that the function satisfies the hypotheses of the mean value theorem on the given interval.…

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Q: Show that f(2) =

A: We will show that derivative does not exist using definition. Then we will use geometry.  Calculate…

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Q: Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND…

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Q: Express the set of numbers x satisfying the given condition as an interval. |x| < 4

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Q: dont know how to sketch the graph and determine where f is nondifferentiable? I don't understand the…

A: Which Functions are non Differentiable?Let f be a function whose graph is G. From the definition,…

Q: 3)Verify Rolle's Theorem for the function f(x) = 2x2 + 4 defined over the interval [-6, 6]. Justify…

A: Rolle's theorem is satisfied if : f(x) is continous at given interval. f(x) is differentiable at…

Q: Express the set of numbers x satisfying the given condition as an interval. |3x + 5| < 1

A: 3x+5<1

Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

A:

Q: es for which the points P(x, y) are on the g y <0 2- -2 -1 -2 3+ Write your answer in interval…

A: Topic:- function

Q: 8. 8. A IA IV Express the interval using two different representations. (3, 00) (,) or Inequality…

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Q: y = Sen4x

A: True explanation is given below

Q: 1, Use the definition of error function, prove that (주)나

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Q: 9: Check Euler's Theorem for the Function

A: We checked Euler's theorem for function.

Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: Express the set of numbers x satisfying the given condition as an interval. |x| ≤ 9

A: Given: x≤9 Formula Used: z≤a, a&gt;0 then -a≤z≤a

Q: What are the domain and range of In x?

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Q: Show that if fis adifferentiable function, then Z:xf()Satis fies そ

A: Partial derivative and derivation

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

A:

Q: Prove that the function has a horizont

A: Please refer the attached image for complete solution. THANK YOU.

Q: 24. Express the distance d, from a point (x, y) on the graph of x+ y= 3 to the point (5, 8) as a…

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Q: 3. Given the Function, %3D is Foo increasing decreasing or both increasing and decreasing on the…

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Q: Q3/State whether this function is continous or not for all values o reason without proof. sino,

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Q: 2 Use the space below to draw the so-called arrow diagrams for three functions that are 1) injective…

A: I] The arrow diagram for the function which is injective but not surjective.

Q: Which of the choices best represent the function end behavior? select all that apply.  1. As x- > -…

A: From the above graph we can take the following observations: When the value of x is negative(we can…

Q: find and sketch the domain of the function f(x,y)= Suqare root 2x-y

A: f(x,y)=2x-yAs we know that domain refer to set of positive values  while range is the set of…

Q: Use the hinge Theorem or it’s converse and properties of triangles to write and solve an inequality…

A: Use the hinge Theorem or it’s converse and properties of triangles to write and solve an inequality…

Q: 4. Check whether the Mean Value Theorem can be applied to the function f(x) = 4x2 – 8x + 4 defined…

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Q: We exclude from a function's domain real numbers that result in a square root of a/an number.

A: Given: We exclude from a function's domain real numbers that results in a square root of a/an _____…

Q: Show that there is a correspondence between the two intervals [0, 1) and [0,1].

A: Given interval 0≤x&lt;1 is a subset of  0≤x≤1. In this situation ,there is an obvious injective…

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A: Here, the objective is to determine if equation represent a function.

Q: express the set of the numbers x satisfying condition |x-1| &lt; 18 as an interval

A: The condition |x-1|&lt;18 is rewritten as,

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A:

Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: Discuss the relationship between differentiability and continuity in a short paragraph.

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: True or False The distance between two distinct points on the real number line is always greater…

A: Given: The distance between two distinct points on the real number line is always greater than zero.

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: By using formula of lenght of sub tangent and sub-normal

Q: Is the distance between any two different real numbersalways positive?

A: State whether the distance between any two different real numbersalways positive or not

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Q: Section 9- Function Types Match the following equations to their description. S(2) =14.x+5|-3 2.…

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Q: Given the points (3,4)and (8,11), find at least three- five equations from different function…

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Q: families (linear, expo

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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.