18. Which of the following functions are NOT differentiable at x =0? Iy=V9-r II. y = x% III. y = x% IV. y=x V. y- cos (2x)|

Q: Tokal dexivetive of f i) Fxy)=In(xy), kind at xzl yal.

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Q: Find the most general antiderivative of the function. f(x) = 3ex + 4 sec2 x

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Q: (i) Integrate the following functions with respect to x: 7 y =- 4x 2x - 3 y = 2 y = x* sin (x° +1)

A: Explanation of the answer is as follows

Q: `s): The area of the surface obtained by rotating the curve y = ln(3x - 2), for 3 ≤ x ≤ e², about…

A:

Q: dy 2e* +5 and use the fact that y(0) = 6to determine c, the dx 3. Determine the anti-derivative of Y…

A: Given : dydx = 2e2x + 5

Q: evaluated at x = 0.001 and y = 0.002 Compute the derivative of the following: 5 g(x) =, 2.1'x f(x) =…

A: topic - derivative of a function

Q: 1. Find the total derivative dz/dy, given (a) z = f(x, y) = 5x + xy - y2, where x = g(y) = 3y² (b)…

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Q: dy Find for the following functions: d.x (i) y = 5sin(3z²) (ii) y = ezVz² +1 (iii) y = (tanh-' (V#²…

A: Given function is: y=5sin3x2 Differentiating with respect to x we get, dydx=6x ln 55sin3x2cos3x2…

Q: 10) For y= vx+8, use the differentialE dy to approximate Ay when x changes from x =1 to x 0.97

A: This question can be solved using the concept of linear approximation.

Q: Use the information to find and compare y and dy.                                   Function y…

A: We find dy using the power rule

Q: dy Find for differentiate each of the following functions. dx (coth(Jx ) = cosh(3y)+e* i) i) y =…

A:

Q: Use the information to find and compare y and dy.                                        Function…

A:

Q: Differentiate the following functions: S(x)= sinh* (v7x +1 tanh " (x* +2) +1) tanh" (x* +2) 3 a) b)…

A: Note    We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 21 dy and dx Suppose that x and y are differentiable functions of t and that find dx ( +1) dx dt

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Q: dy The general solution to the homogeneous DE y + dx F'(2) where F is a differentiable function with…

A: We have to solve differential equations

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x…

A: Differentiate with respect to x.

Q: Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

A:

Q: Q2: Find dy/dx for the following function: (1) y = In(r + 4) -x tan (4) y = x+1) (2) xy +xy = x+ 3y…

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

A:

Q: 1- for y= sech x is equal to: dx a) sech' x tanh x b) 3sech sech tanh x c)-3sech2x sechx tanhx

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

Q: 6. Suppose that w = x cos(yz²), where x = sin t, y = t² and z = 2e'. Find the rate of change of w…

A: Using derivative

Q: The maximum rate of change of the function f(x,y,z) = x In(yz) at (1;2;) is equal to: V17/2 None of…

A:

Q: Use the information to find and compare y and dy.                                   Function y = x2…

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Q: Area between curves y=e^5x y=e^3x x=1

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Q: Compute the values of dy and Δy for the function y=e4x+4x given x=0 and Δx=dx=0.03.   Round your…

A: y=e4x+4x Differentiating with respect to x, we get…

Q: 1- Find the average rate of change for y = xo = 1 x, = 2 2- Find the instantaneous rare of change…

A:

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y=…

A: Let's find.

Q: Q5: Find for the following functions: dx (1) In (x - y) = xy + y²; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: B. (y + e*seny)x + (x + e*cosy)dy = 0

A: The differential equation is given as  y+exsinydx+x+excosydy=0 Compare it with Mdx+Ndy=0 to obtain…

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y f(x, y, z) =…

A:

Q: 10. f (x, y) = 1 sec(xy) in(rv)

A: Solution:-

Q: AFind for the following implicit dx y 1. xy+1=y ans: 2/xy-x 2 tan x sec? x ans: cosh y 2. sinh y =…

A: given,        xy+1=y

Q: b) Find the value of the derivative of f(x, y, z) = xy + yz + xz with respect to t on the curve x =…

A: There are two methods to do this: One is direct method which we used and other is by chain rule.

Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given, x5+3y4=x5 tan y+10

Q: 11. Integrate the function. y? dy (49 – y²) 7y y + C V49 – y2 – sin y+C -1 - V49 - y2 | O A. O B.…

A:

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² 1 c. T(l,g) = 2₁ 2TT. b. z = x siny…

A: Total derivative of a function f(x,y) is given by df=fx dx+fy dywhere fx=∂f∂xfy=∂f∂y

Q: 14. Find the derivative of y = e cosz %3D A. y' = -ecosx sin z B. y' = elinx cos x C. y' = -etinx…

A: Given,y=ecosxdifferentiating both the sides w.r.t. xdydx=ddxecosxUsing chain…

Q: 1) Find dy for each OF Following functions du a) y = cosh (2n) + 4 ny cosh (1an 2) + 2y = e * %3D F)…

A: Product rule of differentiation:   Chain rule of differentiation:

Q: 1. Find for differentiate each of the following functions. dy хр a) (In(coshx) sinh x) g) y = - b) y…

A: Given: a)lncoshx3c)y+4coshx2=exsin-1(2x)g)y=sinhxex

Q: Q2 / Find dy/dx for the following functions; 3 1. y = Vtan(sin(x² – 1)) d 2. ((1 + cot x)³) dx x². d…

A: To find dydx differentiate 'y' with respect to 'x'. For the given values of 'y' we have to find dydx…

Q: (c) Determine the arbitrary constant of integration for the integral: y = [(4t -5-dt given that y =…

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Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

A:

Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: Given, f'x,y=dydx=2+3xyy0=1 Euler's method is given by, yn=yn-1+hfxn-1,yn-1

Q: dy 5: Find for the following functions: dx (1) In (x - y) = xy + y³; (2) y = tan³ √/cot(7x); (4) y =…

A: Since we are given with multiple number of question and answered according to the guideline

Q: Use the information to find and compare y and dy.                               Function y=x − 2x3…

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Q: y() 2. Determine the constant of integration for the following: - dy 3cosx 6 given y dx

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Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³ ; (4) y = x sinh 2x -cosh 2x (2) y…

A: We need to find derivative. As per Bartleby's guidelines we can solve one question from multiple…

Q: 5. Find de for y = 3csc x + x2 dy On= -3ese(#)cot(2) + 1) dy = -3csc x)cot ( x 10 dx O 2) dy…

A: Given that: y=3cscx+5x2