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

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Q: 3. Use the limit definition of the derivative to find the derivative of the function. a) f(x) = 2x²…

A: Given query is to find the derivative using definitely.

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Q: 9.) Find all horizontal and vertical asymptotes of f(x) = 4x 5 - x² - 9

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A: Given query is to find the equation of the tangent at given point.

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Q: Find the derivative of the function at På in the direction of u. x-y g(x,y) = xy+2¹ Po(1,-1),…

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Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

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Q: 3) Grandparents place a continuous stream of $1,000 per year into a college fund which has a…

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Q: 1) Find the area, in square units, bounded above by f(x)=6x² −9x−6 and below by g(x)=7x² −5x−3.

A: Here we have to find the atea Bounded by graph.

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Q: 9 Use the shell method to find the volumes of the solids generated by revolving the shaded region…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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Q: Find the binomion coefpicient (7)

A: follw the procedure given below.

Q: Find the linearization at x = a. f(x) = 7x³, a = 1 (Use symbolic notation and fractions where…

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Q: 6) Calculate - dx for z = ln(x + y²).

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Q: 1. TⓇ S (a) Find the general indefinite integral. 2t² + t²√t-1 t² dt

A: topic- definite integral

Q: 0 Compute the integral: I alned

A: LetI=∫01xlnxdxApply integration by…

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A: Question- A piece of cardboard measuring 8 inches by 14 inches is formed into an open-top box by…

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Q: What do you call the numbers below. Ta(1) 2= 1^3 + 1^3 Ta(2) = 1729 = 1^3 + 12^3 =

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Q: 5. y" + 8y + 16y = 0

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Q: Consider the functions z= - ex In y, x = In (u cos v), and y = u sin v. dz əz (a) Express and as…

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Q: (e) ƒ(x) = x³ (x + 5)²

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

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Q: Solve the applied minimum and maximum problems. Make sure to sketch figures to illustrate the…

A: Use minimizing concept

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

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Q: Find the derivative of the function at Po in the direction of u. g(x,y)= x-y 3xy + 2' Po(-1,1), u…

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Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

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