Consider the function f(x) = 2x° + 3x2 223 12x – 18. - a. Find the first derivativo f'(m)

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 – 3 dy =

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

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Q: Use the intermediate Value Theorem to show that between x = 0 and x = 1, the function f(x) = 3 sinh…

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Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

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Q: Let y = f(x), where f(x) = Vx + 4. Find the differential of the function. dy =

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Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: Find the differential dy, then evaluate: y= 2x3+ 6x-| when x= -2, dx= 0.l

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

A: Given:     To determine:

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

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: f(x) = 9x3 + 4x.   Find the differential of the function.   dy =?

A: Given , y=fx where fx=9x3+4xwe have to find the differential dy

Q: Integrate the function. 8 dx V36 - 64x2 X+ C sin-1 + C -1 + C D 4 tan-1 3. B

A: Given:       ∫836-64x2dx  substitute u=4x3→dudx=43                   dx=34du         =∫636-36u2du…

Q: Assuming 8x - y +7xy = 0 defines y as a differentiable function of x, use the theorem dx Fx to find…

A: By using partial differentiation .

Q: Let y = f(x), where %3D 7 f(x) = x + Find the differential of the function. dy =

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Q: Find the differential dy of the given function. (Use "dx" for d> y = 8x² – 4 dy = %3D

A: Formula :

Q: Let y = f(x), where f(x) = 6x2 + 3. Find the differential of the function. dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 − 3 dy =

A: Given y=7x2-3 Differentiating both sides: dy=14xdx

Q: Find the linearization of the function f(x) = sin(x) at a = π and use it to approximate the number…

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Q: Let y = tan(2x +5). %3D Find the differential dy when x = 5 and dx 0.4 Find the differential dy when…

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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: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: |dx + N(x,y)dy = 0 x² + y,

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Q: Let y = tan(3r + 4). Find the differential dy when T = 4 and da 0.4 Find the differential dy when x…

A: Given: Differentiate the above expression of 'y' with respect to 'x'.

Q: Use the differential dz to approximate the change in the function z (shown in the image) as (x, y)…

A: Given that:   The given function z = f (x, y) moves from the point (1, 1) to the point (1.03, 0.95),…

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

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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: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

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Q: Find the linear approximation of the function at the given point: f(x, y) = 2 sin x – 3 cos y at (0,…

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Q: Find the differential dy of the given function. y = sec2x/(x2 + 1)

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Q: Let y = tan(4r + 8). Find the differential dy when a = 3 and dæ = 0.1 Find the differential dy when…

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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: 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: Find the solution of the DE using reduction Order (D2 + 4)y = sinx

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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: 22. Find when t=, where x a(t + sint), y= a(I-cost) and a is a constant %3D

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Q: (i) Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to…

A: Here, the given function is: f(x,y)=1-xycos πy To find the linear approximation of the function. For…

Q: Find the differential of f(x,y)=sqrt(x^2+y^3) at the point (3,2). df = ? Then use the differential…

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Q: Express in form y=f(x) by eleminating the parameter x = ln t , y = 2 − t

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Q: Let y = f(x), where   f(x) = 4x2 + 6.   Find the differential of the function.   dy =?

A: Given: y=fx=4x2+6 now differentiating given function with respect to x

Q: of and dy For the function f(x.y) = sin (2x - 5y), find dx of of

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Q: 51. grad f = (2x + 3e")7 +3xe'j

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Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.

Q: se the Chain Rule to find dw/dt. w = INVX2 + y2 + z² x = 9 sin(t

A: Here we have to use the chain rule to find dwdt=? w=lnx2+y2+z2, x=9sin(t), y=3cos(t), z=5tan(t)

Q: aw nd dt in term of t, if w = xy, x = cost and y = sint, when t = - %3D

A: Question 4 is not complete.  I am answering Question 5.

Q: Let y = tan(4r + 8). Find the differential dy when a = 4 and da = 0.3 Find the differential dy when…

A: Differential equation: - A differential equation is an equation that contains the derivative of an…

Q: . Let y =sqrtx Find the differential dy

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

Q: e) Differentiate f (t) = (e-6t+ sin(2-t)) -9- %3D

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Q: Find the differential of f(x, y) = vx2 + y³ at the point (1,2). df

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Q: Obtain the general solution using separation of variables dx = t(1 + t²)sec²x dt

A: Given: The differential equation dx=t1+t2sec2x dt . The given differential equation can be…

Q: Differentiate f(t) = (e + sin(2 – t))* %3D 29.

A: derivative of xn  = nxn-1 derivative of sinx = cosx derivative of ex= ex Derivative according to…