value of the constant c that makes the following function continuous on (- f(s) = cs+4 if se cs²-4 ifs E

Q: Use the limit definition of the derivative to answer the following questions about f(x) = 8x².…

A: Given f(x)=8x2 We know that (a+b)2=a2+b2+2ab

Q: Find a function f(x) such that ƒ'(x) = −2x² + 6 and ƒ(0) : = f(x) = -4

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Q: A spherical balloon with radius r inches has volume V(r)=3 Find an expression that represents the…

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Q: Use the second degree Taylor polynomial of f(x) = about to approximate your answer as a single…

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Q: How in the world do you integrate this. Plz dont over simplifed the steps so I can learn. Thank you

A: We are required to find how the following integration has been performedV=∫2162πy2y23dy=90π   The…

Q: Find the unit tangent vector to the curve defined by r(t) = (1t, 5t, = (1t, 5t, √9-12) at t = -2.

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Q: The graph of y = f(x) is shown. 10-9-8-7 -6 -5 -4 -3 -2 10 9 8 7 6 5 4 3 2 + -1 -2 -3 -4 -5 -6 -7 -8…

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Q: (x-y³ + y² sin x)dx = (3xy2 + 2y cos x)dy Q2: A) Solve: B) Solve: The following IVP (using Laplace…

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Q: If f and g are continuous functions such that lim (5f(x) - g(x)) = 4, f(9) = 5, x 9 find the value…

A: given  f and g are continuous functions limx→9(5f(x)-g(x))=4f(9)=5we know…

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: Given p( v ) = 52v2 + 2  ,     a = 1

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A: A differential equation is called separable when it can be written in the form of dydx= f(x) g(y).…

Q: The graph below shows the cost of basic cable service from a cable provider from 2002 to 2010.³¹…

A: a) The linear equation passing through the points (x1 ,y1) and (x2,y2 ) is y-y1=y2-y1x2-x1(x-x1)

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A: The given equation is;  f(x)=2ax2+bx+3 and point (-1,2).

Q: 1:37 PM Sun Jan 29 X Chemistry2e-WEB 11 of 11 0 3= box ² y=lnx 6.3 Volume By Slicing 20 8 X 6.4…

A: 2 curves are given Y= ln x Y= ln x2

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Q: Find the values of x for which the given function is concave up, the values of x for which it is…

A: Given function is y=-x6+6x5-6x+19

Q: Let u = = (1, 2, 3, 4), v = (0, 2, t, 3), and w = (1, 1, 0, 1). Find t so that the angle between u −…

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

Q: Question

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Q: Now it's your turn... Be sure to justify each step: use a separate line and cite for each limit law…

A: let  D=limx→25x3+4x-3D=limx→2(5x3+4)limx→2(x-3)

Q: solve: O 04 O 111 O 2 -00 8

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Q: The (2 x 2) matrices listed in Eq. (9) are used in several of the exercises that follow. 1 ^= [2 } ]…

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Q: If P=32-Q, Finf (a) total revenue,(b) marginal revenue (c) marginal revenue at Q= 5,8,and10...…

A: We have to find the total and marginal revenue at given values.

Q: The limit when x approaches to 5 of a polynomial f(x) is f(-5)

A: Given The limit when x approaches to 5 of a polynomial f(x) is f(-5)

Q: Find the length of the curve x = ۲۰|س 5+41/4 from y = 1 to y = 4. 4y 3

A: Given curve equation:- x=y33+14y

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Q: how can i  Find parametric equations for the set of all lines that pass through the point (2, 0, 0)…

A: Given: x2+y2+z2=1

Q: Interchange the order of integration of the following integral (DO NOT EVALUATE). So St e dr dy

A: Given integration is ∫01∫y1ex3dxdy

Q: The parallelepiped with adjacent edges PQ. QR and PS with P(2.0,2).Q(-4,3,6). R(4,1,1) and S(0,4,3)…

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Q: 1. Write out the following sur ὦ (3) IM (b) αξ

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: B) At what value(s) of x does the graph of g(x) have relative minimum(s)? Justify y

A: here , we  have graph of a function g' (x)  , derivative of a function g(x)  over the interval x…

Q: 2. The following differential equation ((1 + y)² = (y'y)) is classify according to order, degree,…

A: Given :1+y'''2=y'y23

Q: The following can be derived from the above rules. log,1 = log, a = log, d' = loga log 1 b= log,…

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Q: 5. Find the values of x where the graph of the function has a point of inflection. Given: f(x) = x4…

A: We need to find inflection point.

Q: 1. Sketch a region whose area is given by the following integrals. Then evaluate each integral by…

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Q: Evaluate. S −3 |x| dx The graph of y=-3x is shown here for your reference.

A: Concept ∫abf( x ) dx = Area under the curve from a to b

Q: Let lim f(x)=16. Use the limit rules to find the following limit. lim √f(x) lim √/1(x) = (Simplify…

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Q: Let I = (a, b) be an open interval. Give an example of a continuous function that is NOT uniformly…

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Q: Which of the following integrals represents the volume of a unit sphere by integrating the volume of…

A: Let Volume = V Area = A

Q: Let f be a twice-differentiable function with domain R. 3 [²³ f We also have the following table: We…

A: I = ∫13 f''(x) x2dx I =[(x2)∫f''(x)dx]13 - ∫13{ ddx(x2)∫f''(x)dx}dxI =[(x2)f'(x)]13 - ∫132x…

Q: 5.⁰0⁰ To determine whether the integral is divergent or convergent, do the following: 5e-da. Note…

A: a) find the value of ∫0b5e-xdx∫0b5e-xdx = ?

Q: Given f(x, y) = 5x¹ - 4x²y – 2y5, find fx(x, y) = fy(x, y) = fxx (x, y) = fxy(x, y) = fyy(x, y) =…

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Q: Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f…

A: The given function, 72. fx=3x We have to find its inverse function and sketch its graph. Note:…

Q: Q-> using simpson's — Rule, fin d 3 da So x 1+x³ and compare the result

A: The solution is given below

Q: 3 Define { Evaluate the following limits as (x,y) → (1,0) of G(x, y): • along the line y=0- i.e.…

A: Please see the below picture for detailed solution.

Q: 5. State the value of e (4)

A: eln4

Q: Find how much money needs to be deposited now into an account to obtain $8,900 in 10 years, if the…

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Q: Let R be the region bounded by the following curves. Use the method of your choice to find the…

A: Volume of the region obtained by rotating the region about y axis V = ∫abπ( y )2dx Given y = x y ==…

Q: Suppose that f(t)=t2+t−5. What is the average rate of change of f(t) over the interval 4 to 5​?…

A: We need to find average rate of change.

Q: Calculate the definite integral. 5 1/5 3 3 5 S 1/5 (Type an exact answer.) dx = dx

A: Given definite integral ∫1553xdx

Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. y…

A: Introduction To find the volume you can also use the definite integral to find the volume of a…