Consider the function on graph. Analyze the continuity of this function (continuous or discontinuous) and the type of discontinuity (removable, jump, or infinite) at the following numbers. Justify answer. a. at x= -4 b. at x= 0 c. at x= -2 d. at x = 6

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Q: Find the minimum and maximum values of f(x) = Vx? on the interval -3, 5|.

A: We can find the minimum and maximum values of f(x) as below.

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Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows: Let f(z) = VT. Th...

A: Given:     f(x) = (x)1/3   at x = 125      (125.1)1/3 = ?    

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A: given that fx=(-32x^3+96)^{1/3}

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A: Topic:- function  

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Q: 2 5 2 If A= 4 6. 4 then |A| is -1 2 -1. |A|=0 |A|=1 |A|=-1 O

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A: Here we have to find the exact value of       sin(-7pi/2)

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A: Given query is to find the number of unit that canbe produce to make profit.

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A: Given query is to find the the value of x where g(x) will be maximum.

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A: Here we have to draw tangent lines at a given point on the graph. 

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A: Given: Compute the following limit.1-e3x3x as x approaches 0limx→01-e3x3x

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A: Apply all conditions and find roots

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A: Given that, f(x+h) = 1x+h+3 We have to find the value of f(x + h) - f(x).

Q: т — 6 f(æ) x + 2 Find the interval(s) over which f(x) is increasing. f(x) is increasing for x in

A: Given the functionf(x)=x−6x+2

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Q: Suppose a company's revenue function is given by R(q) = - q* + 340q² and its cost function is given ...

A: This question is related to price and cost functions, we will solve it using differentiation. 

Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: Let be a function of x and y, and suppose that f(1,0) = 5. Suppose that (1,0) = <-3,4) Conasider the...

A: Required theorems: The maximum magnitude of the directional derivative is the magnitude of the grad...

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

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Q: 19. The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time 1 ...

A: We will find the current for t=0.5 s and 1 s.

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Q: k E R and f(x, y) = x² + y² + kxy

A: Here, the given function is: f(x,y)=x2+y2+kxy First of all, suppose k≠0 Now, the critical values of ...

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Q: Question 8 What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in compl...

A: Topic:- function

Q: Evaluate the integral. TO 9t sin(7t) dt

A: Given query is to find the value of the integral.

Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

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Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: Write a Riemann sum for the area, using the strip shown: Riemann sum = > Now write an integral that ...

A: Riemann sum for the area gives only approximate value for the actual area. The actual area is calcul...

Q: csc h5B- coth 5B

A: ∫cschax dx =-1acoth (ax) +C ∫csch (x) .coth (x) dx = -csch(x) +C

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Q: Consider the area shown below. The curve drawn is x + y = 3, and we have used the notation Dy for Ay...

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A: F(s) = (s+1)/(s+9),  

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Q: Inventory cost A retailer has determined that the cost C of ordering and storing x units of a produc...

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A: The triangle has measures,     b=122, c=167, ∠B=44°

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(x) = 2...

A: A point x= k is a critical point of a function g(x) if g'(k) =0 or g'(k) is not  defined.

Q: Find the local maximum and minimum values and saddle point(s) of the function f(x, y) = xy - 2x – 2y...

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