Let y = 3x + 2x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Ay =

Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: Suppose y = v2x + 1, where x and y are functions of t. dx = 9, find dt dy (а) If when x = 4. dt dy…

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Q: Let y = 2x + 7x +3. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay 2

A: Linear approximation

Q: 2x + 7x +3. If Ax = 0.3 at x = 4, use linear Let y approximation to estimate Ay %3D %3D %3D Ay =

A: Given y=2x2+7x+3 if ∆x=0.3 at x=4 we have to approximate ∆y using linear approximation.

Q: Find the function "y" that makes the integral stationary V1+y²y2

A: Please check step 2 for solution

Q: Let y = 5x? + 5a + 3. If Aæ = 0.3 at x = 4, use linear approximation to estimate Ay Ay = > Next…

A: Explanation of the answer is as follows

Q: Let y = 2x + 3x + 2. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Ay 2 Submit…

A: We have to find change in y

Q: Suppose that a point is moving along the path xy= 1 so that dy/dt=4. Find dx/dt when x=3.  dx/dt=?

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Q: Let y = sin(3x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Ay ~ = 1.2 Find the…

A: Use the following formulae, to obtain the solution. ∆y=fx+∆x-fxdy=f'xdxError…

Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 3, find dy/dt when x = 4. dy…

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Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy…

A: Consider  y=2x+1 where x and y are function of t.

Q: Let y 5x + 6x + 2. If Ax = 0.2 at x = 1, use linear approximation to estimate AY Ay =

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Q: dz dS 2 If S = z3 and -2 when z = 3, find dt dt

A: Derivative

Q: 5x? + 8x + 3. If Aæ 0.3 at x = 5, use linear approximation to estimate Ay Let y Ay =

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Q: Let y = sin(5x). If Ax = 0.4 at x = 0, use linear approximation to estimate Ay Δy ~ Find the…

A: Given: y=sin(5x) ∆x=0.4  at x=0   Solution: y=sin(5x) For the function y=f(x),   ∆y=f(x+∆x)-f(x)…

Q: Let y = 5x + 7x + 3. If Ax = 0.3 at x = 3, use linear approximation to estimate Ay Ay =

A: Follow 2nd step.

Q: Suppose that a = x(t) and y = y(t) are both functions of t. If y + xy – 3x = 23, and dy/dt = 1 when…

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Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using…

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Q: Let y = sin(2x). If AI = 0.3 at x = 0, use linear approximation to estimate Ay %3D %3D Ay = %3D Find…

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Q: Let y = 5x² + 8x + 4. If Ax = 0.4 at x = 2, use linear approximation to estimate Ay Ay a

A: By linear approximation we can write,       ∆y ≈ dy = f'(x) dx Also We have,          ∆y =…

Q: Suppose that x=x(t) and y=y(t) are both functions of t. If x2 + y2 =17, and dx/dt=2 when x=4 and…

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Q: Find the total differential. w = (3x + 4y)/(y + 3z)

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Q: 5x + 6x + 2. If Ax = 0.2 at x = 1, Let y = approximation to estimate Ay use linear Ay =

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Q: Let y = 3x + 3x + 2. If Aa = 0.4 at x = 1, use linear approximation to estimate Ay | Ay a

A: We have to find the change in y using linear approximation

Q: Let y = sin(2a). If Ax 0.1 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the…

A: In this question, concept of Linear Approximation is used. Linear Approximation The equation of a…

Q: A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show…

A: Given: A cylinder of radius r and height h has volume V=πr2h a)  show:  ΔVV≈2Δrr+Δhhb)  Percentage…

Q: If L = sqrt(x2 + y2,) dx/dt = -1, and dy/dt = 3, find dL/dt when x = 5 and y = 12.

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Q: 7N Let y = 5x + 8x + 4. If Ax = 0.4 at x = 2, use linear approximation to estimate Ay %3D Ay 2 12 O…

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Q: Let y=2x^2+3x+3. If Δx=0.1 at x=4, use linear approximation to estimate Δy Δy≈

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Q: 1, use 2x2 + 3x + 2. If Ax linear approximation to estimate Ay Let y 0.4 at x = Ay 2

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Q: Y = 3x + 4x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Let Ay =

A: Given that                  y=3x2+4x+4    ...................(1)  and,    ∆x=0.4 Now derivative (1)…

Q: = Let y 2x2 linear approximation + 7x + 4. If Ax = 0.1 at x = to estimate Ay 2, use

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Q: Let y = 5x + 3x + 4. If Ax = 0.1 at x = 5, use linear approximation to estimate Ay Ay =

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Q: Let y 3x + 4x + 4. If Ax = 0.4 at x = 1, use linear approximation to estimate Ay Ay =

A: Given, y=f(x)=3x2+4x+4 ,∆x=0.4 at x=1 Differentiate with respect to x, we get f'(x)=6x+4 At point…

Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3…

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate…

Q: (b) If dy/dt = 2, find dx/dt when x = dx dt

A: By differentiating we solve the function

Q: Let y = = sin(3x). If Ax = 0.2 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the…

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Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: Let y sin(5x). If AI = 0.4 at z = 0, use linear approximation to estimate Ay Ay 2 Find the…

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Q: Let y = sin(4x). If Ax 0.4 at z 0, use linear approximation to estimate Ay Ay 2 - Find the…

A: Solution :-

Q: Find dy/dt if y is as follows. t2 + 4 y = In 7 - t dy dt II

A: We use logarithmic properties to simplify the given function and use chain rule to solve this…

Q: 4x 28. If R = and errors in x, y, z be 0-001. Show that the maximum relative error at x = y = z = 1…

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Q: Let y = 4a2 + 8x + 2. If Aæ 0.4 at x = 5, use linear approximation to estimate Ay %3D %3D Ay =

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Q: Let y 5x? + 4x + 3. If Ar 0.1 at I = 5, use linear approximation to estimate Ay

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Q: Suppose y = (sq. root of) 2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt…

A: y=2x+1 Differentiating with respect to t, we get dydt=122x+1·d2x+1dt…

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy…

A: we will diferenciate the equation of y with respect to t, and solve this.

Q: Let y = 5x² + 4x + 4. If Ax = 0.3 at x = 4, use linear approximation to estimate Ay Ay ~ Submit…

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Q: If z = e2x+ 3y and x = In t, y = t2, calculate dz from the total dt derivative formula and show that…

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Q: Which best represents the Slope-field and streamlines for dy = 3 – y? dt - 0.2 04 06 08 1.2 3.5 3 25…

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