x -x-2 True statement for ƒ(x)= is.... х-2 1. © f(x) continuous at x = 2 2. O f(x) discontinuous at x = 2 3. O fis defined at x = 2 4. O f(x) continuous everywhere

Q: Sketch the graphs of the function f and g f(x) = x2 + 2, g(x) = 1 Find the area of the region…

A: Sketch the graphs of the function f and g f(x) = x^2 + 2, g(x) = 1 Find the area of the region…

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t+00 4t2 + 5' 8t (?, ?)

A: Find the limit

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim (203+922 8x3-8 If…

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Q: Identify and sketch the graph of the following equations in R. (a) a2 + 2y? + z2 – 8x + 12y – 2z +…

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Q: Find the standard form of the question of the ellipse with given characteristics and center at the…

A: This is a problem related to conics section. Based on the general formula and concept we will…

Q: (-1)" V2n2 + 5 Given: power series (x + 1)" n=1 Determine if the resulting series of constant terms…

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Q: 2. Computing Derivatives; Compute each derivative using the derivative rules: d (a) (cos-(1+ 2*) +…

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Q: Find the standard form of the equation of the hyperbola with the given characteristics. Vertices:…

A: Given that: Vertices: (3,5), (3,-5);             foci: (3,8), (3,-8)

Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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Q: +00 (5 – 4(ln n)*)" Σ (V3. In n)3n n=2

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Q: .4 sec'x (V tan³x + 1 ) dx

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 13 Suppose f(x) is decreasing over the interval 5 < x < 13, and / f(x)dæ x = 80. Then the region…

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Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: f'x) = g'(x) on [4, 7] %3D S(4) = 7 %3D g(4) = -9 f(7) = 6

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Q: B. Evaluate the following .5 S lx? -x-6|dx - x - 6|dx -5 1.

A: We need to evaluate integral,  NOTE - As per Bartleby's guidelines we can solve only 1 question from…

Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

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Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: The given function is;  f(x,y,z)=xyz Constraints : x+y+z=16, x-y+z=12.

Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: 6. lim e (x, y)→(1, –1) cos(x + y) -xy

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Q: tan-'(m) m² + 1 m=1 Does the series satisfy all conditions in order undergo integral test? Prove…

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Q: Find if the sequence converges or diverges. If it converges, find the limit.  an=e2n/n+2

A: Given problem:- Find if the sequence converges or diverges. If it converges, find the limit.…

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,10​).   4x3−y2−8=0…

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Q: An investor bought stock for ​$50,000. Nine years​ later, the stock was sold for ​$70,000. If…

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Q: 2. Evaluate the definite integral. 4 *7 – 7sin²e do 3cos?e

A: I=∫0π47-7sin2θ3 cos2θ dθ1-sin2θ= cos2θI=73∫0π4 1-sin2θcos2θdθI=73 ∫0π41 dθ

Q: Determine whether the following converges or diverges {(5) n 2n +1 n=1

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Q: /3 In (x+ 1) e series representing the integral -dr is given by A. (-1)"+1 n=1 3" (n+ 1)2 В. (-1)"+1…

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Q: 3" e" – 2" n=1

A: The given series,        ∑n=1∞3nen-2n

Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x=1+3r²,…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

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Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x

A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…

Q: S10.re", 2.3+3x2 - 12x, r20 r <0 Given: f(x) = %3D (b) Determine the extreme values of f on [-2, 2].…

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Q: (x² + 2x) cos(2x) dx

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Q: Consider the polar curve r = sin(30). Sketch the polar curve on the inter 0< 0 < 27/3.

A: Solution: Given data, r = sin(3theta)

Q: 6х — 8г? — 5 dx (2х — 1)(4г? + 1)

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Q: 6. (edited) Paper Packaging and Artwork Philippines, a paper manufacturing company, makes…

A: the solution is as follow

Q: Water fills a bathtub at a rate of r(t) liters per minute (where t is the time in minutes). What…

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Q: 5. y = Arctan²(x³) 2х-1 6. y = Arccos 3x+1/

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Q: Evaluate the following integrals using integration by parts. Sre* dx f x3 In x dx -2x sin 2x dx

A: Solve the following

Q: - y If z=x²sinh then дхду 4 O A. (-x3– 3x?y + 2xy2 – 32x) / 16+x² – 2xy + y² (16+x²- 2xy + y²) ² O…

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

Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: 678 COS (x³) dx 3

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Q: Given the table of values below, use a left Riemann sum with n = 4 to estimate the area bound by the…

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Q: Let an = n> 1. In(2" + 1)' 1. Determine if the sequence {an}1 is convergent or divergent. 2.…

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Q: i sin(In(-32)) = cos(In(-32²). True or False: dx True O False

A: Topic = Derivative FALSE

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Q: (1– 2n²)* n2n n=1

A: