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

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

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

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Q: Use the linear approximation to f (x, y) = √x/y at (9, 4) to estimate √9.1/3.9.

A: f(x,y)=xy at (9,4) to estimate 9.13.9

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= 3x2 +7x+4. If Δx=0.4 at x=2, use linear approximation to estimate ΔyΔy

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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: Find the orthogonal trajectories of y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: Let y = 4x + 6x +2. If AI = 0.4 at a = 3, use linear approximation to estimate Ay Ay 2 12.64

A: Given,          y=4x+6x+2 , ∆x=0.4 at x=3.

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: Find the orthogonal trajectories of the famil y of curves x'yxy=c where cis constant

A: Given:    x3y-xy3=c      Differentiating by using power rule we get…

Q: Find the linear approximation of given function at (0, 0). 3x + 4 2y + 1 f (x, y) = f(x, y) =

A: We have to find the Linear approximation of the given function.

Q: Use the Linear Approximation to f(x, y) = x/y at (9, 4) to estimate 9.1/3.9.

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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: Find the orthogonal trajectories of Vy= = CX

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

A: Derivative

Q: The linear approximation at x and where B is:

A: Given a trigonometric functionf(x)=sin(6x)

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: Obtain the orthogonal trajectories of xy = C and compute for the positive value of y at the point…

A: Solution

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

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Q: Let y = sin(5x). If Aa 0.1 at z = 0, use linear approximation to estimate Ay Ay 2 Find the…

A: solution

Q: Find the linear approximation of f(x) = In r at a = 1 and use it to estimate In(1.14). L(2) = %3D…

A: Please refer the attached image for complete solution.

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: Find the local linear approximation to f(x, y) = 4x² + y² at P(2,3)

A: We have to find the linear approximation of above function at (2,3) please see the explanation…

Q: 16. Let y = 4x² + 7x + 4. If Ax = 0.2 at x = 2, use linear approximation to estimate 4y Ay 2

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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: Find the orthogonal trajectories of Vy = cx = CX

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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: Let y = sin(5x). If Ar = 0.4 at r = 0, use linear approximation to estimate Ay Ay 2 %3D Find the…

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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: 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: Find the orthogonal trajectories of y = e where a be the arbitrary constant.

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Q: Let y = sin(5r). If Ar = 0.1 at a = 0, use linear approximation to estimate Ay Ay = 0.0087 Find the…

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Q: Consider the function y defined implicitly by 3(x2 + y2)? = 100xy. Use the linear approximation at…

A: Given : 3(x² + y²) = 100xy

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

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Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given function is, h(x)=x4.

Q: Let y sin(5x). If Ar 0.3 at z 0, use linear approximation to estimate Ay %3D Ay = = Find the…

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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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