,x 1 Is the function k(x) = {x²-1 2,x = 1 continuous at x = 1?

Q: 27 Зx dx

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A: Let's find.

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Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: please

A: We will solve using integration by parts.

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A: Given problem:- Find the relative maximum / minimum values of the function   f(x) = (x - 2)/(x + 2)…

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A: Solution: y = x y = x4

Q: B5: a) (10] Given the complex numbers z = 1- 21, zz = -1+ 31, 23 = 2+ i, z4 = -2 – 31. ) Plot all…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

A: according to company rules we can answer only first question and rest can be reposted.

Q: Y = x**

A: Given query is to find the derivative.

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Q: 15x? Find the horizontal asymptotes of f(x) = - 6x 14x2 + 10 (Use symbolic notation and fractions…

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A: V=(4/3)πr3 now differentiate it with time dV/dt = 4πr2dr/dt 7 = 4(22/7)*9*9(dr/dt) dr/dt =…

Q: Consider the following. x +3 2-x- 12 f(x) = Find the x-value (if any) at which fis not continuous.…

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Q: 00 Expand the function in a power series a,x" with center c 0. Find a,x". 8+7x

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Q: Sketch the region enclosed by the curves and find its area. y = e", y = e10, x = 0, x = ln 2 NOTE:…

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Q: Bx Bんt2

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Q: PQ27

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Q: Find the area bounded by x = y²- 2y and x =4 - y

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Q: If f is a one-to-one function with f(3) = 6 and f'(3) = 4, what is the value of (f') (6)? (1)'(6) =…

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Q: Find the derivative of the function. y'(x) =

A: To find the derivative

Q: In AABC, AC > AB. The b ZBAC meets BC at D. Pro

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Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

Q: f(x) = sin° r, find f'(x) If Find f'(5)

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: The objective of the question is determine the distance between given point and plane.

Q: Consider the following scenario: The rate of increase in the number of p who have committed drug…

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Q: 3. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALC9 3.9.533.XP. MY NOTES PRACTICE ANOTHER Find the most…

A: Kindly see the below attached solution

Q: (1) Identify the following as either expression or sentence. (a) 3x+7; x=2x-5; x; x=8 (b) x+4=13;…

A: As per bartleby guidelines we only give first question answers.

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

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Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the…

A: The radius of the sphere is increasing at a rate of 5mm/sits diameter is 80 mm

Q: (x, y, z) =

A: Follow the procedure given below.

Q: Graph the inequality. y> 2-4x Use the graphing tool to graph the inequality. Click to enlarge graph

A: Given query is to graph the inequality.

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Q: п Sn = Ef=o (;) 5. 100 4.

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Q: Find the coefficient a of the term in the expansion of the binamial. Binomial (3x-ay): Term 2 8 ax

A: The general term of (x+y)n is given by:Ar+1=Crnxn-ryr  , r=0,1,2,....Then general term of (3x-2y)8…

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A: Given query is to find the rate of change of area.

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A: Given query is to find the average velocity in the given intererval.

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Q: Evaluate limx->1   1 / x - 1

A: Given query is to find indicated limit.

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Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

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Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Let y 3T. Find the change in y, Ay when x 2 and Ax 0.3 Find the differential dy when a 2 and da 0.3

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Q: etermine from the graph whether f has a minimum in the open interval (a, b). (a)

A: answer of given question is in step 2

Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

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