ction 3.9 Find the mast general antiderivativer. of the function. Check your annwer by differentiation) f&)= {xZ + xJX

Q: Use implicit differentiation to find y' for 5x y? + In (xy") = 5 and then compute y' at (- 1, – 1).…

A: Given 5x3y2+lnxy3=-5

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

A: we need to use trial and error method

Q: Differentiate the following implicit function with respect to x: а. ху? —. y y - cos (y2) | x2 II

A: Here given

Q: 2s00ng belisisb e vd buine od no bnshow isboc Find the derivative 1-x I tx bns GULIOU bLotL 02 anob…

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Q: Find the derivative of f (x) =/ csc(etr+1) . 2e 4r +1 A Vese(eti +1) 4x - 2e r +lcsc2(e4x+1) B…

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Q: 19. y = In(e* + xe*) %3D

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Q: dy and dr² for the function r² = (r+y)³ at (0, 1). Use implicit differentiation to find dr

A: the given implicit function is: x2=x+y3 now we have to find the value of dydx and d2ydx2 at the…

Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative

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Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

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Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: Obtain the derivative of any of the following functions: A) f(x) = 3cotg²3x B) f(x) = 6cos7(3x2 – 1)…

A: Answer

Q: 3. Let f(2) = 1+ 2e" – 3x. At what value(s) of a does f(x) have a horizontal tangent line? Give…

A: Differentiating given function with respect to x, we get

Q: Find the PDF fy () in the following cases: (A) Y=VX (B) Y = In(X)

A: Given,         f(x)=e-x           x≥0   (A) y=x     dydx=12x⇒dxdy=2x let g(y)  be the pdf of y,…

Q: Find the most general antiderivative of the function, and check your answer with differentiation.…

A: We will use the formulas: Using the formulas we get: Here a=2 c=integrating constant

Q: Find linearization of the given function: f(x) = 1/x at x=0.5, dx = 0.1 %3D

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Q: The function e is an integrating factor for the ODE y' – 2xy = x7 %3D True False

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Q: This is a linear DE. If arranged to its form, what is the integrating factor? * xdy ニ

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Q: X has PDF ca? if – a < I < a 0 otherwise f(r) If a = 0.71, what is c?

A: X is random variable having probability density function ,  Then,  We will find the value of c = ?

Q: Evaluate in terms of beta function: L (1– 1) dz dr. O-)

A: According to question given:∫01(1-1x)13dxWe have to evaluate the given integral in terms of beta…

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: f(0) = 2e0 + sec20

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Q: Find all the antiderivatives of the following function. Check your work by taking derivatives. q(s)…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Use the Fundamental Theorem of Calculus Part I to find dh/dx given h(x) = cost dt (Hìnt: need…

A: Answer:  By fundamental theorem of calculus  Let fx=∫axbx gt. dt   dfdx=gbx.b'x-gax.a'x

Q: Find the most general antiderivative , verify answer by differentiation  g(x)=7sin theta/3

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Q: Let I = W/H^2 denote the BMI. Estimate the change in height that will decrease I by 1 if(W,H) = (25,…

A: I = WH2    (Given)    W=26                         H=1.1   W= Constant (given) I = WH2 = W(H2)-1 =…

Q: Use implicit differentiation to find dy if y is a function of x given by the following curve. dæ…

A: We have to find differentiation of the given function using implicit differentiation.

Q: 4. Find using implicit differentiation: re – y? – a2 = 2 %3D

A: as per company guidelines we are supposed to answer one question at a time. for solution of other…

Q: Use linear approximation to approximate v81.4 as follows. Let f(x) = Vx. The equation of the tangent…

A: Consider, fx=x Differentiating with respect to x, we get f'x=12x Now slope of the tangent line at…

Q: Evaluate the function: ( e* +1 dx et

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Q: Let v(t) = (3,-t5) and g(t) = 2yt. Compute the derivative of the following function. v(g()) dt (Type…

A: Given that: v(t)=3t2, -t, 5 and g(t)=2t

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The…

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)   f ( t…

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Q: Find the dy/dx of the following function. Implicit differentiation e2y + x3 =y

A: We have to determine derivative of following function

Q: Find the absolute maximum and absolute minimum values of f on the given interval. fix) =Dx + 는,…

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Q: b. Find the first and second order derivatives of the following function: In(Tx) y = sin(Tx + 3) *…

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Q: e function f m (0,0) to

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Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation.) Snip

A: Find the most general antiderivative of the function. (Check your answer by differentiation.) Snip…

Q: Let Xi = cos(27FT) ,r.v.F~U[0,fo). What is its mean function,autocorrelation function?

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Q: 3. Given x?y? = x² + y², find by implicit differentiation. dx

A: To find: The value of dydx. Given: The equation is x2y2=x2+y2. Formula used: Product rule of…

Q: Find y′ by implicit differentiation. e^(x/y)=4x−2y y'=?

A: To calculate the value dy/dx from the provided implicit differentiation e(x/y)=4x-2y. Now,…

Q: Find the derivative of the function. sin(x) y = In(1 + 7v) dv g'(x) = Jcos(x)

A: Solution

Q: Differentiate the following implicit function with respect to x: b. y=-In (Ryx²) + sin(y)e³*xy +e

A: Given

Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL…

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Q: Find dy/dx by implicit differentiation for the following.:x2ey + y = x3

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Q: Let g(t) = 2 In 2 In(3t) ). Then the derivative of g is g'(t) = A ( In (3t)) tC, where (In 3 %3D A =…

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Q: Find all the antiderivatives of the following function. Check your work by taking derivatives. h(y)…

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Q: Use implicit differentiation to find y' for 3ar y + In(ry') = 3 and then compute y' at (1, 1).…

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Q: Find a constant b> 0, so that the function, 0<x<b is a valid pdf. fx (x) ={10 %3| otherwise

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