find the length of the function over the given interval x=2y, y=-1, to y=1

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Q: Find the linear approximation of the function f(x) = /1 – x at a = 0 and use it to approximate the…

A: Given,

Q: Given f (x,y) = x³ + y3 – 3y² – 3x² – 9y, find the critical points and use the Second Derivative…

A: solution :-

Q: Consider the function: z=(x / y3) 1/2 where x = 13.36 ± 0.03 and, y = 6.27 ± 0.05 are two…

A: We have given that z = (x/y3)1/2, substitute the value of x and y in z to find the value of z.

Q: Integrate the function f (z) = (z – 8i)- from z = 0 to z = 4 + 4i along the line x = y.

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Q: Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1.…

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Q: Find the average velocity of the function over the given interval. 3 , [4,7] y = X-2 O A. 7 О в. 2 3…

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Q: Find the curve length of the given functions in the given interval

A: Find dx/dt and dy/dt using product rule.Then find (dx/dt)^2 and (dy/dt)^2.

Q: Find a linear approximation to the function f(x,y) at the indicated point. 2x y f(x,y) = at (1,2) 1…

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Q: integrate the function f(x,y) = x^2 +y^2 over the unit circle

A: In this question we  integrate the function f(x,y)=x2+y2 over the unit circle the unit circle…

Q: Determine the equation of the tangent to fr) = x + x at the point (1, 2). %3D O a) y = 3x - 1 %3D b)…

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Q: Find the linear approximation of the function f (x, y) y- 1 at (0,0) x + 1

A: We are given fx, y=y-1x+1. Here, we need to find linear approximation at (0, 0). Now, fx=∂∂…

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h =   0.1.

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Q: Approximate X f(x) = e*over the interval [- 4, – 2] using 2 subintervals.

A: In this problem, Simpson 1/3rd rule is used to find the approximate value of e^x over the interval…

Q: Find the domain and range of the function f(x, y) = exy

A: Given information: The function fx,y=exy

Q: 21 Find the value of c such that the line y = -x + is tangent to the curve y = c/x.

A: Given line ⇒y = 76x+212    .....(1)curve y = cx   ....(2)Differentiating w.r.t 'x'       (2)y' = c2x…

Q: Find the tangent to y = cos x at x = 5- O A. y=x+7 O B. y= -x+7 O C. y= -x-7 O D. y= 1

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Q: Find the linear approximation of the function below at the indicated point. f(x, y) = V 17 – x2 –…

A: Givenf(x,y)=17-x2-4y2  Point (2,1)

Q: The volume of the filtrate (V;) is a function of tf, is given by: V; = 150/t, + 0.15 Find the…

A: Given, that Vf=150tf+0.15 Differentiating Vf  with respect to tf dVfdtf=150ddtftf+0.15…

Q: Use Euler's method to approximate the indicated function value to 3 decimal places, using h = 0.1.…

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Q: find given f (x, y) = eª + 2xy² – 4y at (0, 3) af dy'

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Q: Find the linear approximation of the function f(x) = v9+x at xo = 0, and use it to approximate v8.9…

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Q: Using the linear approximation of f (x, y) near (x, y) = (1, 0) tells us that f (0.98, 0.05) is…

A: The linear approximation of a function f(x, y) at (a, b) is L(x, y) = f(a, b) + fx(a, b)(x − a) +…

Q: Find the linear approximation to the function f(x, y) = sin y --- |T at x, = (1, -2) 2 and use it to…

A: The solution is given as

Q: Find a linear approximation to the function f(x,y) at the indicated point. 2x°y f(x,y) = at (5,1) 1…

A: Linear approximation to the function f(x ,y) at (a, b) :       L(x ,y) = f(a ,b) +(x-a) f x (a, b) +…

Q: The tangent lines which was drawn at points A and B on the following y = f(x) function graph are…

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Q: Integrate f over the given curve. x? C: y = y .3 f(x,y) f(x,y)ds =

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Q: The function f(x, y) has a tangent line at (0, 0) with direction . Which of the following are true?…

A: z = f(x,y) f(x, y,) - z = 0 Tangent at (0, 0) with direction <a, 0, c>

Q: Find the linear approximation to f(x)= cot (x) LCx) = f (a) + f'Ca) (x-a). near a=" as

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Q: d dx y' z' y" z"

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Q: Integrate the function f (z) = (z – 8i)² from z = 0 to z = 4 + 4i along the line x = y. 2

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Q: The value of b makes the line y = 2x +b be tangent to the function f (x) = x² is O -1 none О 1 O 2

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Q: Find whether the function F-(* - y')i + (v² – 3x)j + (=* - xy)k is irrotational.

A: A vector field F is called irrotational if curl (F) = 0.

Q: 11.2.4. f(x, y) = V]xy|.

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Q: Calculate the approximation of My for the given function and interval f Cx)=フメーンLュ,3 %3D

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Q: Given f(x, y) = y ln(5x 6y), find f-(x, y) = fy(x, y) =

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Q: Let f(x)= sec(x), find the linear approximation at x= pi/4 and use it to estimate sec(pi/5)

A: Given function: fx=secx At x=π4 fπ4=secπ4=2

Q: Use FunCtion 9(x) = - f (X)tZ gra ph Of Y = fLX) to g raph Y=F(x) 2十 -4

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Q: Find fr and fy for f(x,y) = I+y fz = /(r+y)? and fy = /(r+y)2

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Q: Find the point on the curve z = 5 sin(t), y = cos(t), - sts. closest to the point (2,0) . (Hint:…

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Q: Find the tangent plant to f(r, y) = x² + 3ry + 5y² at the point (1,2).

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Q: The tangent line to the curve y=vx-5 * for x=16 is a. y=1/8 (x+16). O b. y-4=1/6 (x-16). O c.…

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Q: Find the average rate of change of the function f(x) = 2x- 4x 8, on the interval r E [-3,2]. |3D

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Q: Find f fy. - f(x.y.z) = x - Vy² + 22? + 2z² = (Type an exact answer using

A: Here we have to find fx , fy and fz  of

Q: 3. Find the value of c such that the line y = x + 3 is tangent to the curve y = cvx. C =

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Q: Integrate the function f (z) = (z - 8i)² from z = 0 to z = 4 + 4i along the line x = y.

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Q: Find the extrema of the function f (r, y) = y(x² + (In y)²), y > 0.

A: Second derivative test of two variable  function is Da,b=fxxa,b×fyya,b-fxya,b Then  If Da,b<0,…