18.V. Let f be as in Definition 18.1 and suppose that the deleted limit at c exists and that for some element A in R° and r > 0 the inequality |f(x) – A| < r holds on some neighborhood of c. Prove that lim f – A| < r. Does the same conclusion hold for the non-deleted limit?

Q: 12. 4 2 O -2 -4 y 2 4 6 XA

A: The graph of the function is given.The aim is to find the function for the given graph.

Q: (3) dx x 1+√x

A:

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: 7. Let ƒ(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

Q: 4(2w-5) = 5w + 4 %3D

A:

Q: 2.25x.2

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Q: Find .6 7 LT." 3 4 xy dydx.

A: Given that the integral ∫36∫47xy dydx. Find the value of given integral.

Q: T. 9

A: Given: To determine: ST→ &amp; tan∠S

Q: a) : ?

A: here differentiate both sides with respect to x.

Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: 4. w/- 4. 2.

A: Given:

Q: -4 X+

A:

Q: -7 2. Fine the gcneral Selution

A: Given differential equation is: x2d2ydx2+xdydx+y=-7.     …..1 Substitute x=ez z=logx Now,…

Q: 1.r -5 1.Г 2

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Q: VE Gx+5

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Q: 2. Factor. 10 x2/5 (4x + 7)/2 +÷ 7 3 7/5 (4x + 7)-1/2 3

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Q: 4. Find tricingeo. FincX 3.2 2.7

A:

Q: Find the value of each variable.

A: The solution is:

Q: 3. Simplify Vx5 Vx3 *

A: In this question , we can simplify the given expression. xn = x1n xa .xb =xa+b

Q: cothe 4

A: To find: The value of cothi3π4. Concept used: cothx=ex+e-xex-e-x eiaπ=-1a

Q: 60 6 30 V3/2

A: Topic:- trigonometry ratios

Q: 6. (r- 30)° ot

A: In this question ....we fint out all angles of triangles. we know that the sum of all angles of…

Q: Simplify. 7/16-V54

A:

Q: 5) 3x +5 30

A: Topic = Inequalities

Q: 10.1-2 q 6

A: Image is attached with detailed solution.

Q: 4. Find L t4ent

A: H

Q: 0.3)1536.

A: 0.31536 Note: Multiple questions are given, we are answered with first question only.

Q: Consider the graph of the function f(x) shown below. (Click on the graph for a larger version) A.…

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Q: 7.) -3- %3D 10 2'

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Q: 2- -4 -2 2 4 6. 8 10 12 -2- -4

A:

Q: Evaluate.

A: To Determine: evaluate the sum Given: we have ∑k=1155k-2 Explanation: we have series and we have to…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.