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Q: find deri vative gan -? () =

A: Given query is to find the derivative of the expression.

Q: find f ′(x) for each function. f (x) = 4x2 − 7x

A: Given :f(x)=4x2-7xformula using : ddxxn=nxn-1

Q: Question 17 The graph of the function y = f(x – 51) can be obtained from the graph of f(x) by one of...

A: QUESTION- The graph of the function y= f(x- 51) can be obtained from the graph of y= f(x) by one of ...

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Q: Solve the problem. Suppose that fis continuous and that " H2) dz-0 and S Ka) dz = 4. Find - 60) dx ....

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Q: 1. f(x) =In (ta n"x)

A: Given query is to find the first derivative of the expression.

Q: sin 8 ydy 8. 25+ sin* 4y 4.

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Q: Use the definition of a derivative to find f ′ (x). f (x) = 5x − x2

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Q: a) Determine the dimensions of a rectangular tank, without a top, with minimum surface and a fixed v...

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Q: given the funchon go=co x3+27x +36X g (x) = 18X2+54 X+ 36 %3D g"M) = 36X+ 54 g"(-2)= -18 IS graph of...

A: Given query is to find the behaviour of the graph at x = -2.

Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

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Q: Write the vector shown below as a combination of vectors i and i shown above Vector = Note: In both ...

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Q: Consider the function B(x) = xª (1 – x)* on 0 0. Absolute Maximum value (Hint: Your answer may depe...

A: B(x) = xa (1-x)b  B'(x) = xa ddx[(1-x)b] + (1-x)b ddx(xa)B'(x) = -xa b(1-x)b-1 + (1-x)b axa-1B'(x) =...

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A: Basic identity of integration and equation of line are used.

Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x %3D 00 f(x) =...

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Q: 3. Show that for p> 1 and r E (0, 1), the integral below converge: dt tp

A: by limit convergence test we cab prove this, we have to treat the definite integral as summation fro...

Q: IV. Constructing. Construct the table of values, graph the function and find the indicated limits ea...

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A: We have to find derivative of f(x).

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Q: Find the radius of convergence of the power series. (If you need to use co or -0o, enter INFINITY or...

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Q: 3- 5V+811 lim -00 2/2+2-162 t3-5v

A: After initial observation, I can see there is difference of variable in the limit 'x' and variable i...

Q: 5. lim f(x) = +0, lim f(x) = 0 and f(-1) = 0 6. lim f(x) = +00, lim f(x) = 0 and f(-1) = -1 %3D -1+ ...

A: Note: As per our company's guidelines we are supposed to answer three sub-parts of the question. Kin...

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Q: tegration by Parts: This is the most important integration technique we've discussed in this class. ...

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Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

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Q: f (x) = D윽과+1

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Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

A:

Q: Find the antiderivatives or integral of each of the following: let u= Jsech*2tdit du=

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Q: 2. Evaluate. tham. fe lawing.integrals.after.r.cuening.the ereler.f.integratiom. a. siny 9 .g.coscx....

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Q: 4. lim x5 x- Note* the sign is negative -1/2 5. lim va N. -- I. 2v2 6. lim 3x Vx Н. 243 3 x-27

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Q: Consider the function f(#) For this function there are two important intervals: C 4x 42 and (A, x) w...

A: Here, the given function is: f(x)=2x+54x+2

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Q: 2. Assume that you have lots of pennies and nickels and you start arranging them in rows of 8 coins....

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Q: The domain (over the real numbers) of the function f(x) = V5x + 63 is in the form of either (- o, A]...

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Q: 3

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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.