Qi. Use first principle rule and proue that dy secl tene if y = secxton x · %3D

Q: If UV = 8, UX = 4, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: In AXYZ, the measure of ZZ=90°, YX = 97, XZ = 65, and ZY = 72. What ratio represents the tangent of…

A: Given: In △XYZ, m∠Z=90°YX=97XZ=65ZY=72 To find: What ratio represents the tangent of ∠Y?

Q: a.) Evaleiate. (6tanx dx

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Q: given YZ tangent to circle J at point Y and M<WYZ =104 degrees what is mWXY

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Q: WATE [z cot FI dz

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Q: Eliminate the paranoter t from the follewing S r(1) = 4+ sin t lu(t) 3- cost

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Q: Apply the method of Implıcit Di fferentiation to find dy in eq (i) angle O=45 with and loPI-r=472…

A: Given, x2+y22=16x2y.....1x=rcosθy=rsinθr=16cos2θsinθ Now diffrentiating the given function with…

Q: Find dy/dz in terms of e and y if arctan(x®y) = ry°. ||

A: See the details solution in below

Q: Find the first and second deriva tives sp dt

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Q: bols 7 Question 9 Salve tx. Assume that nes that appear tangont are tangent 15 9, 8. 6.5 19 265

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Q: If y = atan (0) „x =a sec (0) prove or disprove d'y 3 cot(0) 4a dx

A: y =a tan3θ   ,   x = a sec2θ     'y' is a function of 'θ' and 'x' is also      a function of…

Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 2 = 24 dy. %3D

A: ddx(tanx)=sex2xddx(sec x)=sec x .tan xddx(uv)=udvdx+vdudx

Q: a) cosh (x) tanh' (?) = sech'! (?) find the "(?) " %3D %3D b) ln () = ? --

A: We are given : cosh-1(x)=tanh-1?=sech-1(?) Let,   Now, cosh-1(x)=tanh-1t=sech-1(y) Taking…

Q: If h(z) = arcsin(2)(4z + 3), find h'(z) =

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Q: Given show =5 how dy %3D

A: differentiate y with respect to x .

Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments that appear tangent are tangent.…

A: Given : UV = 7UX = 5XY = x+3

Q: 3. MK and ML are tangent to circle J. If MK = 6x - 15 and ML = 2x + 9, find x.

A: Given,           MK and ML are tangent to circle J. MK=6x-15 and ML=2x+9.

Q: tan y dy + In (secy) In (6)sec® de

A: Given data:     The given integral is: . The given integral can be written as, Assume Let…

Q: xdx+ where L airche arc yey (x - {) %3D

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Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

A: Given circle is as below :

Q: Now, we can say that the work done in stretching the spring 15 in. = X ft beyond its natural length…

A: Convert the length 9 inch to feet. Then use the Hooke’s Law to calculate the value for k.

Q: Determine the so luti'on of the equertion: dy dx2y cot x= 1- 2xcot 2x- 2csc 2x

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Q: Et eNcise the fo is linemr OTDE which of eii> +* - 1ogx dy

A: Given some differential equation. We need to find which of the following is linear differential…

Q: Show that the antiderivatives are equivalent.                                                     ∫…

A: To show that ∫3x21-x6dx = arc sin x3+C Substitute  u = x3. Then                  dudx=3x2du  =3x2dx…

Q: 28. Show that the graphs of y = tan x and y = cot x have nohorizontal tangents.

A: A horizontal tangent line is a mathematical feature on a graph located where a functions' s…

Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Use the Errors in the Trapezoidal Rule and Simpson's Rule cos(4nx) dx

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Q: Evaluate [y cos (3y) dy

A: We use integration by parts continuously. ∫f(y)g(y)dy =f(y)∫g(y)dy  - ∫df(y)dy(∫g(y)dy )dy Also note…

Q: Find in terms of x and y if arctan(r + x²y) = ry

A: Given that         arctan(x+x2y) = xy We have to find dy/dx in terms of x and y.

Q: The slope of the tangent line to the graph of y? = In(ry) at the polnt (e, 1) Is Select one: a.e=1…

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Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: Find the length of one arch of the cycloid = 5(t-sin(t)),y- 5(1-cos(t)).

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Q: If UV = 7, UX = 4, and XY is x + 2 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: The value of [xe*dx by using the three-segment trapezoidal rule is most nearly

A: by trapezoidal rule

Q: Find the length of one arch of the cycloid x= 5(t-sin(t)), y= 5(1-cos(t)).

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Q: | sec? (y) /2+ tan(y) dy V

A: To evaluate: ∫0π sec2y 2+tan ydy

Q: Compare the Trapezoidal rule and Simpson's rule app 4 x sin x dx

A: Given: An integral ∫0π4xsinx dx. To find: Bound for the error using the formula for each rule and…

Q: S,Ly? e*ydydx 1-

A: Use Change of order of integration to solve given Integration.

Q: Find the arc length of the following line. y = 2x + 4; (0,3)

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Q: 2. Find the unit tangent.vectar. I and the length.cf. be. FItd=(ct)j +(sín.t). K.

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Q: © Calculate the distance to the auerage yraxis for poinits in D: (2,4)

A: Consider:                    y=x2   To determine:                   Average distance to the y-axis…

Q: PRIS tangent to circle Q at point R and PS is tangent to circle Q at point S. Determine mZP and mZQ.…

A: Circle tangent property

Q: Differentiate y=arccos(e^(3x)) dy/dx=____________

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Q: If y = tan u, u = v - and v = In x, what is the value of at x = e? dx sec?e 1 O Option 4 O Option 3…

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Q: tan What is the exact value of sc wdw ialuulexalu fXis thrali

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Q: AT is tangent to oG. 8 10 Find: AN. AN = %3D units

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Q: Find the length of one arch of the cycloid x= 6(t-sin(t)) y= 6(1-cos(t))

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Q: If x = 10 cos 0 and y = 10 sin 0, find the total length of the curve swept out by the point (x, y)…

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Q: ind an equation of the tungent line to y= 45in2 X at point (i II

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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.