Question 5. dy (a) If y = e sin-' (0) and æ = e2" + cos-1 (0), find dr (b)Find the equations of the tangent and normal lines to the curve y + xy + x² = 1 at the point (-1, 1)

Q: 9. The position of a moving particle as a function of time is given by: x = (4 -0.11) sin(0.81) Plot…

A: The given position of moving particle is, x=4-0.1tsin0.8ty=4-0.1tcos0.8tz=0.4t32

Q: Question 4 -e-*) dx Evaluate: A '+C 2 B cosh x +C sinh x +C D – sinh x +C E None (F -cosh x +C 2

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Q: Problem 2: ka3 Find dy/dx at x1 from the following table of values 2. 3 4 27 64

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

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Q: Question 7 2²e"² sin(x²yz) Let f(x, y, z) 12 find dyəzə"x at the point (3, 0,0) 4 8.

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Q: Question 10 Using the method of Variation of Parameters, the particular solution Y, for the NHLDE…

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Q: dy +2 dy -3 y=2 cos 3x . Problem 5/ Find the general solution of dx? dx

A: Answer

Q: Problem #1 Find 4x-5x2 +s dx Problem #2 Calculate f'(t) if fle)=3t°csct Problem #3 d4x-x+3 Calculate…

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Q: Problems 1& 2 involve three functions z(y), y(u), and u(x). Find dz/dx from (dz/dy)(dy/du)(du/dx).…

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Q: 11. sin(4x) dx e 0.

A: Given: To evaluate:   The given integral.

Q: Question 2 > The function ` f(x) = (5 x-9)e^(-6 x) ` has one critical number. Algebrically use the…

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Q: QUESTION 4 Suppose that x2 -v3 +2xy= 12. Use implicit differentiation as presented in Section 14.5…

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Q: cos(48°) Use differential to approximate the value of

A: Cos 48° The nearest value to 48 whose cosine value can be taken is 45.Let us consider :x = 45° and…

Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

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Q: Question 8 Suppose that a biomass B(t) changes with respect to time t (hours) at the rate dB Vt +…

A: We have to find

Q: In Problem 15 of Chapter 9, this equation was used to find the surface area of a cylinder with a…

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Q: PROBLEM 1 : J sin'y cos y dy ROBLEM 2 : S cos*x sinx dx os==dy y-1 PROBLEM 3: S sin- ROBLEM 3 : 3 3

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Q: Question 5 Find the partial derivative for the function z = cos 08--17y¹8sin(x¹7+y¹7) - 17y¹6…

A: Given that     z = cosx17+y17      we have to evaluate partial derivative ∂z∂y .    since we…

Q: Question 2) Solve the initial value problem having the initial conditions. (Hint: Each time,…

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Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: 3. The graph of y = sin z is transformed so that the transformed image has a period of 47 and a…

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Q: Problem 23 What is the length of the curve ln(sec(x)) from x=0 to x=1.3?

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Q: QUESTION 3 Find dy/dx if cos(xy) = 2xe2y + In(2y) by using implicit differentiation. %3D

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Q: Problem 7.4. A particle moves along the x-axis such that the velocity is given by v(t) = 3t + cos(t)…

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Q: 33. tan- (z²y) = x + xy°

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: Question:4 Calculate dx by implicit derivatives (tan x) + ycotx + sinxy – exy – In2 = 0

A: Differentiate the equation implicitly:

Q: 1. Where does the graph of y = x“ + 4x – 1 have horizontal tangent? %3D - 2. Use the chain ule…

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: QUESTION 19 plve for the differential of y when y=sinzx, x=-, 1 and dx = 2 2 2 4 4

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Q: problem 1 and problem 2

A: To find the function y =y(x) from the given differential equation satisfying the initial condition

Q: Problem 2 Let { sin(x-y) f(r, y) = |피 + 1yl # 0 (x, y) = (0,0) %3D %3D Is f continues at the origin?…

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Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: Question 18 Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+…

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Q: Problem VII: Evaluate | ye"dx + xe" dy where C is the portion of the curve y =x' – x +1 from (0, 1)…

A: To evaluate the given integral , we use the green's theorem. According to Green's theorem: Let R be…

Q: Question 22 The solution for the initial value problem -sinx, y()=1 dy is 3D1 dx O a. y=-cosx+1 1…

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Q: 22) In Problems 22 through 24, given an Implicit Equation 2x3+3y2= 6 sin y + 16 , find y'=, A)…

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

Q: Problem 13.1. Calculate the follo gration by parts: (1) Sa sin(3r +1) dx. (2) Sa'e(3r+1 dr. (3) ſ…

A: Since You have posted multiple subparts questions.  As per our guidelines we will do the first 3…

Q: * PROBLEM 4 a) Use implicit differentiation to find dy/dx of the function ху (x²y + 1)2 b) Evaluate…

A: a) Given function is  We differentiate both sides with respect to x

Q: A particle moves along a circular path in such a way that its x- and y-coordinates at time t are x =…

A: Given Data: The coordinates of the circular path at time t is: x, y=2cost, 2sint The speed of the…

Q: Question 4) A* dy Q4) A: Compute dx at x=1 where y = xcos2x O cos3 cos1 cos2 No one of the previous

A: Given y=xcos2x

Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle:…

A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get…

Q: Problem VII: Evaluate ye"dx +xe"dywhere C is the portion of the curve y = x' - x² +1 from (0, 1) to…

A: Given - ∫Cyexydx + xexydy  where C is the portion of the curve y = x3 - x2 + 1 from 0, 1 to 1, 1 To…

Q: An equation of the tangent line to the curve y = sin(x) at x = 4n/3 is y = + -(х — 4п/3). An…

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Q: Problem 5. Find the derivative of each of the following: d {cos(2z + 3i)}², 1) dz d {(2)[tan"'(In…

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Q: sinx dx e PROBLEM 1:|- secx e* dx PROBLEM 2: 2 Inx e dx PROBLEM 3 : -3x²+1 PROBLEM 4: J xe dx хе…

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Q: Problem 05: (a) Find the following integrations: sec² x dx -tan² x cosec² 2x √1-cot² 2x dx π/4 0…

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