Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). -3 -2 -1 0 i 2

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Q: A certain bacteria population is known to quadruples every 90 minutes. Suppose that there are initia...

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Q: If x = c is in the domain of f such that f'(c) = 0 and f"(c) > 0, then f has a local maximum at x= c...

A: The given problem is solved below in detail.

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A: Given that an=e8n. A sequence an is said to be convergent if it has a limit when n tends to infinity...

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Q: If f(x) = (3, -1) what are the coordinates of f(x) = -r(-3x) +1? (4)

A: Find your answer below 

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = %3D (1 + x)5 00 Σ f(x)...

A:     Maclaurin series of function fx is a Taylor series of function fx at: a=0       fx=f0+f'01!x+f''...

Q: 5 What is a. lim,-3 f(x) b. lim,-2 f(x) c. lim,0 f(x) d. lim,2+ f(x) e. lim,2 f(x)

A: To find the given limit values for the function using the give graph.

Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

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Q: 2. f(t) : 6 sint cos t ||

A: f(t) = 6sintcost here 2sintcost = sin(2t) f(t) = 3sin(2t) now if we want to integrate it integration...

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Q: Consider the integral 2 6z² In(z) dz

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Q: The vector from the origin to point A is given as 6ax – 2a, – 4a-, and t unit vector directed from t...

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Q: The following is the graph of a function f(x). -5 -4 -3 -2 -1 -1 3 4 -2 -3 Clear All Draw: a. On the...

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Q: A4 The graphs of x = 6, y = h(x) (solid) and y = g(x) (dashed) are shown; the graph is not drawn to ...

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Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: 1 + 10/x| dx 3x3

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Q: Give the r-coordinate of a point where: A. the derivative of the function is positive: a = B. the va...

A: * The derivative of the function at a point represents the slope of the tangent at that point. A.) T...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 1 f(x)...

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Q: 8. Which of the following is the curl of F = (2xy +1, x² + 2yz, y² – 2 )? %3D а. 0 b. 1 с. -1 d. 2

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Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: A tank holds 5000 gallons of water, which drains from the bottom of the tank in half an hour. The va...

A: Slope of line

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket ...

A: Find your answer below 

Q: 4. f(t) = t5 e(1-t)

A: Given; ft=t5e1-t As we know from the properties of Laplace transform; 1). La·ft=a·Lft 2). Ltnft=-1nd...

Q: 7. Which of the following is the potential function for F = (2ху + 1,х2 + 2yz, y? — 2)? а. Ф(х, у, 2...

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Q: (Straightforward) Find the flow vector ī(x, y) and sketch the flow field for the differential equati...

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Q: Consider the function f(x) = 2x 3x- 36x + 54. a. Find the first derivative. f'(x) b. List any critic...

A: For critical values , f'(x) =0. If f'(x) >0 for every x on some interval I , then f(x) is increas...

Q: e 6 7. 9- 4. $4 23 ap (()4 - (E )b )EL7 Jo 2ra(8- h(x)) dx ap ((2)6) – 8) T0 p (,(-)e) – 8) = 0 revo...

A: Let's find. 

Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x – 21) (x² + 18) f'(x) =O

A: We will find the derivation of functions as follows 

Q: Give an example of a increased rate and a decreased rate

A: Increased and decreased rate with proper example are as follows.

Q: Idéntify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: The function is  y=3xx

Q: For each of the following, sketch the volume being formed, then calculate the total volume and the t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

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A: The given data is: fx=6cosπx Use the method of cylindrical shells to find the volume of the solid

Q: 1. Create a Probability Distribution Table for: a) a Sum when 2 Dice are rolled. You list a table of...

A: A) a Sum when 2 dices are rolled.  Sum  Probability 2 1/36 3 2/36 4 3/36 5 4/36 6 5/36...

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: A company that produces cell phones has a cost function of C = 28x²2 dollars and x is the number of ...

A: The cost function of cell phones is C = 28x2-820x+20549 Where, C is cost in dollars and x is the num...

Q: Find the partial derivatives fr(x, y), fy(x, y), and fry(x, y), where f(x, y) = 3 ln(xy) +2 tan x + ...

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Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to...

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Q: Find the logarithm. log, (4)- Question Help: D Video Message instructor D Post to forum Submit Quest...

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Q: Determine the point on the curve for the function f(x) = (−5x + 7)(2x + 3) where the slope is -1/2

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Q: a Suppose f da exists. If a > b then " f da = L" f da. а a

A: False. 

Q: Solve the differential equation (x² + 1)y – 2xy – 2x = 0 using the method of separation of variables...

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Q: Laysly Builders Co. tasked you, the civil engineer in charge of a building project, to oversee the m...

A: In order to calculate we need to construct the matrices A, X and B and solve them using matrix inver...

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) 1 n = 4, c = 5 %3D P4(x) = %3D

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 n = 4, c = 5 x2 f(x) = Pa(x) = %3D

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Q: theorem/ het f ,9EDCI) ; Xo E I, Then O iP xER t Xo then f is differentia ble a and f +g is difteren...

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Q: 2 4 -2 where is f'>o ? Vx in the interval where is f'<o? Vx in the interval キ

A: Explained below 

Q: 2) Determine whether the lines 1: x = 1+ 2t, y = 3t, z = 2 – t and l2 : x = -1+ s, y = 4 + s, z =1+3...

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