Find the tangent line approximation T to the graph of f at the given point. Then complete the table. (Round your answer to four dec f(x) = Vx, (5, V5) 4.9 4.99 5 5.01 5.1 f(x) T(x)

Q: 2. Use the graph to answer the following. gof)(-2)

A: find find gof(-2)  from graph

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A: we need to find the vectors that satisfy the given stated conditions.

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A: Here, to find the set of points at which the function is continous.

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A: Consider 

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A: we will use nth derivative formula of cosx .

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A: We have to find two unit vector as given in the question. 

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A: Given query is to find statement true or false.

Q: 1. we have to evaluate the following integrals 4 dy de a.

A: a ∫14∫12 (x/y + y/x)dydx ∫14 [xlny + y2/2x]]12dx ∫14 xln2 + 2/x -1/2x ∫14xln2 +3/2xdx [(x2ln2)/2 + 3...

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A:

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Q: х* + аx — 2bx — 2аb - х3 —2ax* — 2bx* dx х4 + ах3 — 2bха — 2аbx?

A:

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: 2x2 + 4x-30 Below is the graph of f (x) x2 -9 -6- -5- 3 2 10 -9 -8 -7 -6 -5 -2 2 -3 Evaluate the fol...

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

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Q: Use a double integral in polar coordinates to find the area of the region. The region inside the ci...

A: Question- Use a double integral in polar coordinates to find the area of the region.   The region in...

Q: tind the detne of 2メー3 う×ース using the definition -

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

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A: Given problem:- The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the...

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Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands a...

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Q: Consider the rational function y = - -1 when investigating and analyzing. Match the topic with the a...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

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A: Gradient of a function f(x,y,z) is given by,          grad(f(x,y,z))=i∂∂x+j∂∂y+k∂∂zf(x,y,z) Maximu...

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

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Q: V9-4x? - dx

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Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

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Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky + ...

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Q: 1.3. Study the existence and uniqueness of the solution of the initial value problem (2y – 4)y/ – (3...

A: Given problem:-     To find:- fy(x, y) 

Q: Integrals Involving Roots Evaluate each of the following integrals. 1. 2+Vx-4 xp-

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

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Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

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Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: The Range of y = V9- Vã /x is

A: The function y= √(a-x) is valid for all real     x ≤ a and range of this function is [0,√a]

Q: Use polar coordinates to find the volume of the given solid. Under the paraboloid z = x2 + y2 and ...

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Q: / Determinel the Component of the Vector at each Point (州,) {0r0),(40), (-り),(り, (ー4) ニ (yーリー,12サ,(y...

A: Explanation of the answer is as follows

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Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: У7-"(10т — 1)" —п n=0

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y2 = 4(x² – ...

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