2. Evaluate [ (42y - 12x ixdy S = (x, y) | 0 < x < 4, (x - 2) < y < 6}. %3D

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A:

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A:

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A:

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A: In the given question we need to draw the graph of the function- y&gt;|4x+6| It is a modulus…

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A: Solve by algebra

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A:

Q: 4x-1| dx

A:

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: /s. 5. Show that 2x?dx = f 2x²dx + S, 2x²dx + f 2x²dx %3D

A:

Q: 4t 3. -2

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Q: 3. Check for monotonicity for the following functions. TR = -20² + 14Q %3D TC = 20 + 10 100 AC = Q +…

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A:

Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

A:

Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

A: To find the value of this function at x=1

Q: b. 14-x²|dx

A: I am attaching image so that you understand each and every step.

Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: 3. y = x2 - 2 -3 -2 -10 3D 2 3 X

A:

Q: 4.у%3D (2х — х3)(2х + 1)

A: Follow the procedure given below.

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Q: Find dz implicitly of the relation r + y³ = 3ry.

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Q: 81 +x + 41 -x Evaluate

A: Introduction :--

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: S(in 6x) dx x (In 6x)2 - 2x (In 6x) +c x (In 6x)2 - x (In 6x) + x + C <(In 6x)2 - 2x х (in 6x)2 + 2x…

A:

Q: For what x is x(2x+3) positive?

A: For f(x)=x(ax+b). (1) f(x) is positive: ⇒x(ax+b)&gt;0⇒x&gt;0 and ax+b&gt;0 OR x&lt;0 and…

Q: Salve diff.eon √₁+x² + y² + x²y² + xydy 1 = 0 14x

A: Given differential equation is             1+x2+y2+x2y2 +xydydx=0 ⟹        1+x2+y2+x2y2 =-xydydx⟹…

Q: If x = 3 and y = 7, then 1/x + 1/y

A: We have to find

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.