Use first principle rule and proue that dy = if y= secn tand %3D secxo

Q: tant dt 9,

A: To find the given integral ,use the substitution u=tan t .

Q: dy Use implicit differentiation to find if 6y + sin y = dx?

A:

Q: xe 2, x Cosz dx

A: Integration by parts, ∫udv=uv-∫vdu u is the first function Given integral, ∫x exdx

Q: Find the derivative of O2 sec 2x O 2tan 2x O-2 cot2x O 1/cos2x y=In sin 2x

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Q: What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

A: Recall: ddxsec-1(x) =1xx2-1

Q: Use implicit differentiation to find * az given that yz* + x²z3 = дх = exyz

A:

Q: Use first principle rule and prove that dy if y= secl tann = secx

A: To Prove: That the derivative of y=sec x is dydx=sec x·tan x. Concept used: First principle: The…

Q: Differentiate: y = 5 tan? (25z) %3D Oy = -750z tan (25z) sec (25r') Oy = -750z? tan (25z) sec (25z)…

A: We have to differentiate  y = 5 tan225x3.

Q: If Vr + Vy = 9 and y(4) = 49, find y (4) by implicit differentiation. %3D

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Q: find dy/dx using implicit differentiation for 2 sqrt 2x+y = tan-1(xy2)and simplify

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Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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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: Find the derivatives of the functions in Exercis

A: Chain Rule: f(g(x))'=f'(g(x))g'(x) Differentiation formulae: ddxsinx=cosxddxcosx=-sinxddxax=a

Q: Find the slope to the tangent line of the equation y2e2x = 3y+x² at (0,3) Hint: perform implicit…

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Q: Use implicit differentiation to find Y. dx In(xy) + 6x = 45 dy dx

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Q: Use implicit differentiation to find dy/dx if tan(xy) + x tan y = x

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Q: Find the derivatives of the functions in Exercis

A: fθ=sinθ1+cosθ2

Q: S sin x In(cos x) dx X

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Q: Use implicit differentiation to find dy/dx in x = sec y

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

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Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: dy/dx = sec(x)tan(x)

A: Given: dydx=sec(x) tan(x) if y=sec(x) tan(x)

Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: Use the trapezium rule to find [2" dx taking ordinates with interval 0.25, in three decimal places.

A:

Q: Use implicit differentiation to find dy/dx

A: Differentiation is a process of finding the rate of change of one variable with respect to another…

Q: Use implicit differentiation to find dy/dx. 3exy + %3D

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Q: Find the equation of line tangent of sin(2x) cos(3x)+ sec(x) TC At x = 6. %3D

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Q: Compute the equation of the tangent line to f (x) = sin(Tx) at x=0.5.

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Q: Use Implici+ Differentiation to fing dy X Siny + cos2y = cos y

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Q: Find dyldx by implicit differentiation. 9 + x = sin(xy²) dyldx =

A: The objective is to find the derivative by implicit differentiation.

Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: Use implicit differentiation to find dy/dx:

A: Differentiate both sides with respect to x Use power rule and chain rule to differentiate

Q: dy Find by implicit differentiation. dx 6xe + ye = 7 dy dx

A:

Q: find dydx

A: The given equation is:

Q: use implicit differentiation to find dy/dx for cosx²=xey

A: Given functioncosx2=xey

Q: Differentiate implicitly to find dy/dx.…

A: Given: secxy+tanxy+5=0

Q: dy Find by implicit differentiation.

A:

Q: Use implicit differentiation to find dy/dx 4y2=5x-2/5x+2   dy/dx=

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Q: By using first principle of differentiation find f'(y), if fo) = My-N %3D

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: Use implicit differentiation to find dy/dx. cos(x-y)+sin(y)=sqrt(2)

A: Given cos (x-y)+ sin y=2Here we find dydx

Q: Use implicit differentiation technique to find dy if 10x sin y dx 6xy? + 2x3

A: We have to find derivative

Q: use implicit differentiation to find dy/dx xcos(3x+7y)=ysinx

A: product rule.

Q: Find the derivative of y with respect to propriate variables. - y = sech0(1 –- In(sech0)) y = 4Vx…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the most general antiderivative. Verify with differentiation f(x)=cosx + 2sec^2x

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Q: Find where where y = V5x + sech¬1 x + In (tanh(x² + 3)). dx

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 21 = 13 dy dx ||

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Q: Use differentiation rules to find y' = dy/dx.

A: Given function is

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!