Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² + 1 a. (4,1) b. (2,4) a. L(x,y) =

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A: Evaluating the given integral

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A: Solution of given question is written in below steps.

Q: 6. Evaluate the expression sin cos (77)) 11 tan sin (sin-¹ (²-3)) 13,

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Q: d. lim, In 1000 x ,5

A: Here, note that the function ln1000x grows asymptotically slower than the polynomial x5.

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A: Let's solve given diffrential equation.

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A: Topic:- calculus

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: A) The given function is f(x)=x33-2x2+12 ................................... (1) from -2 to 7 using…

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Q: Find the center of mass of a thin plate of constant density & covering the given region. The region…

A: Let's find center of mass.

Q: S dx x² √√x²-1²

A: Follow the procedure given below.

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Q: A. Evaluate the follow 1. S dy 3+√y+3

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Q: 2 cos x = -0.7, 2TT ≤ x < 4T csc x = 2, 0 < x < 2TT sec x = -3, -π ≤ x < T 4

A: Given :cosx=-0.7cscx=2secx=-3

Q: 4. Determine whether the following statements are True or False? y = f(x) (a) _lim_ f(x) = 1 (b) lim…

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Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

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Q: √x³√1-x² 2

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Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

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Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² x 10

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Q: Ussing the Simpson Is rule, find the followmy integrals. A=2 zolnہوم @

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: What is the moment of inertia of the area in the first quadrant bounded by the curves y² = 4x,…

A: The given problem is solved below in detail.

Q: V. En el siguiente ejercicio obtent 1 + Int 1 - Int

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

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Q: dr Evaluate - x(x²-4) ² Select one: Ⓒa.- +aresec)+c √√√²4 b. (+aresec)+c (+arcsec)+c O.C. - O d.…

A: This is a problem related to integral calculation. Based on the general formula and concepts we will…

Q: √x³√1-x² x2

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Q: Convert each pair of polar coordinates to rectangular coordinates 1. (3, 225 degrees

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

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Q: Find the area of the region in the first quadrant that is enclosed by the coordinate axes and the…

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Q: Siven a = (1, 2, 1) and b - (k. 1, 2) and a × b = √35. X Determine the value(s) of k.

A: Follow the procedure given below.

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Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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Q: Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dy dx…

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A: Given

Q: Given: g(x) = x² + 4x=2 Find and simplify (g°g)

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Q: 5. Determine whether the following statements are True or False? y = f(x) 2 X 0 (a) lim f(x) = 1 (b)…

A: Given graph of y= f(x)

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy-y², Po(-3,4), A=i+2j…

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Q: 7 =-=—=x² Find the center of mass of a thin plate of constant density & covering the region bounded…

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Q: In5 x ,2 limx→+00

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Q: 4. Evaluate the following limits. a. lim X→→→+** 2x 3x² b. lim c. lim -3/x X In5 x x²

A: This is a problem related to limit calculation. Based on the general formula and concepts we will…

Q: The cost in pesos of manufacturing x pairs of pants in ABC Tailoring is given by C(x)=1500+3x+x^2…

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