Consider the functions h : R→R and g : R -R defined by h(x) = 72 (5 + arctan(sinh 4æ)), . g(x) = 144 arctan(e4x).

Q: Let y tan(4x + 4). Find the differential dy when x = 1 and da 0.4 Find the differential dy when a =…

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Q: Let y = tan(4x + 6). Find the differential dy when x = 3 and dx 0.1 %3D Find the differential dy…

A: Explanation is given below...

Q: al derivatives of t 'sin(z+y)

A: According to our terms and condition i have solved first question for next question repost

Q: Given the composite function y=lnu,u=cosx. Express the differential of y in an invariant form.

A: We have been given a composite function. Let's call y = ln(u) as the outer function and u = cos(x)…

Q: Find for the following function: dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx) 3- y = x*y at x = 1

A: We have to find the derivative of the following functions.

Q: For functionf (x, y) = e*y + cos(x – y), write the first and second order full differentials

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Q: Let y = tan find the differential dy of the function.

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Q: af dy of f(x, y) = tan (x²y³ + 2xy)? What is the

A: Given:     To determine:

Q: Find the local linear approximation of cos x at xo = cos 61°. T/3 and use it to approximate

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Q: Find the particular antiderivative of the function f(x) point (0, –1). e" (2ª – 1) whose graph…

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Q: Let y = tan(2x + 3). Find the differential dy when x = 1 and dx = 0.1 Find the differential dy when…

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Q: Let y tan(5x + 8). Find the differential dy when I = 5 and dr 0.1 Find the differential dy when I 5…

A: y=tan(5x+8)Differentiate on both sidesdy=sec2(5x+8)×5×dxSubstitute x=5  , dx=0.1…

Q: The linear approximation at x = 0 to sin(9x) is A + Bx where A is: and where B is:

A: Given fx=sin9x Differentiate fx=sin9x with respect to x, we get f'x=ddxsin9x=9cos9x Hence,…

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: Let y = tan(4x + 8). Find the differential dy when x = 4 and dx = 0.3 %3D Find the differential dy…

A: ? 1.2sec224 ?2.4sec224

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x =…

A: We know: lim∆x→0∆y∆x = dydx…

Q: Let y = f(x), where f(x) = X - 6 Find the differential of the function. dy =

A: Diffrential is just put function of y and x separate and then just find f'(x). Now put the value of…

Q: Let y = tan(5x + 2). Find the differential dy when x = 4 and da = 0.3 0.6 Find the differential dy…

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Q: b) Find O Using the chain rule to find de x-1 dy of y= dy of y sin 1-xy ) Using the implicit…

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Q: Let y = tan(3r + 5). Find the differential dy when x = 3 and da = 0.1 Find the differential dy when…

A: Here we need to use chain rule of differentiation to find dy. According to chain rule,…

Q: (a) Integrate the following function; i) SG) dx 1+9x² ii) S dx (b) Differentiate y = cosh-1(x² + 1)…

A: 5(a) (i) Given integral is ∫91+9x2dx ∫91+9x2dx=9∫1919+x2dx=∫119+x2dx=∫1132+x2dx Hence,…

Q: Let y = tan(3x + 6). Find the differential dy when x = 2 and dæ 0.2 Find the differential dy when x…

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Q: If f(x,v) = ex In(5xy) find dy?

A: Given: fx,y=ex2ln5xy. To find: ∂2f∂y2 Solution: In partial derivative we differentiate with respect…

Q: If f(x) = x^2 sin(3x), find the differential dy

A: Consider the given: fx=x2sin3xy=x2sin3x Differentiate w.r.t. "x", dydx=ddxx2sin3xApply the Product…

Q: Let y = tan(3x + 7). Find the differential dy when a = 4 and dæ = 0.3 Find the differential dy when…

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Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and da Find the differential dy when x = 3…

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Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: The antiderivative of the function sin (Gx+7) is:

A: Given : sin12x+7

Q: Let y = tan(4x + 4). Find the differential dy when x = 5 and dx 0.4 %3D Find the differential dy…

A: Given : The function y = tan(4x + 4)   To find : Differential dy when, 1. x = 5, dx = 0.4 2. x =…

Q: Find the differential dy of the given function.    y = x tan x

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Q: Assuming 9x° – 5y - 4xy = 0 defines y as a differentiable function of x, use the theorem dx - to…

A: Given: 9x3-5y2-4xy=0 We have to calculate dydx(1,1) by the given formula.

Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: Let y = tan(3x +7). Find the differential dy when = 3 and da = 0.4 Find the differential dy when x =…

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Q: b) Differentiate y = e (In3x) + tan (3y) with respect to x. %3D + 2e In 3x Ans: dy %3D 3 1-

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Q: By referring to implicit differentiation techniques, compute dy at point dx (3, t) for the following…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -5x – (sin(x))² dy =

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Q: Let y = tan (2x + 6). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when…

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Q: The of the function y= e sin(3x)- In(5.x +2x+1) dx at (0,0) is: А. О В. -1 С. 1 D. 3

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: 1. Determine the equation of the tangent line to the graph of f(a) = [² pr+sin r = x = 0. cos (t² +…

A: Above equation of tangent is given.

Q: Find the differential dy of the given function Y=arctan(x-5) Dy=?

A: Use the standard derivative of inverse trigonometric function and chain rule.

Q: . Let y =sqrtx Find the differential dy

A: To find, y=x To find the differential dy.

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

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Q: Find dy,dx by implicit differentiation for the following 7x2 = 5y2 + 4xy + 1

A: We have to find dydx by implicit differentiation for the equation: 7x2=5y2+4xy+1 We know formula of…

Q: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: Let y = tan(4æ + 5). Find the differential dy when a = 5 and da 0.2 %3D %3D

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: Let y = tan(4x + 5). Find the differential dy when x = 5 and dx = 0.1 %3D Find the differential dy…

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Q: Let y = tan(3x + 8). Find the differential dy when x = 3 and dæ = 0.1 Find the differential dy when…

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Q: implicitly dx

A: Solved below

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 4x + (sin(x))² dy

A: The solution is given below

Q: Let y = tan(3x + 5). Find the differential dy when a = 4 and dæ = 0.1 Find the differential dy when…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.