Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: 3 SFF X ex

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Q: хр (DZUIS-(x87 sex =h П ћp pul

A: We can find the required answer in the below steps.

Q: [2 13 1 01 1 1 10 02 To 21 0123 10

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Q: Use the given graph to estimate the value of each derivative. (a) f(-3) (b) f'(-2) (c) f'(-1) y =…

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Q: Consider the vectors: • V [2 1 -2] • w = [101] • π = [6 -3 -2] (a) Calculate projžū (b) Calculate…

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Q: Using the concept of differential approximates the value of sqrt(85)

A: Given value is 85 We have to find its approximate value using differential approximation

Q: [2-3 57 A=0 1-3 0 0 2

A: Given matrix A=2-3501-3002

Q: Owners of a boat rental company that charges customers between $95 and $475 per day have determined…

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Q: 2x + [2x] x+ 2+ x² + x - 2 Evaluate lim 2x+ [2x] x+ 2 x²+x-2 and lim

A: Given information limx→-2+ 2x+2-xx2+x-2     and    limx→-2- 2x+2-xx2+x-2.

Q: Frequency 8 2 15 9 13 data Class width = Q Based on the histogram above, what is the class width?…

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Q: Solve each of the following differential equations given that each has an integrating factor of the…

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

Q: If x(t) denote the position of a body at time, then the velocity of the body at time t is dt True…

A: Topic = Derivative Correct option =True

Q: sin cos 0 cos sin

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Q: Find the average rate of change of the function over the given interval. R(0)=√40+1; [0,12] AR ΔΘ 11…

A: NOTE: Refresh your page if you can't see any equations. . take

Q: Find the domain of the function: f(x) = log4 (4-3x)

A: To find: The domain of the function: f(x)=log4(4-3x)

Q: Problem 2 A Classify the critical points of the following function (in other words say if they are…

A: The given function is: f(x,y)=x2+y2-2y

Q: 4. Find the Laplace transform of following functions: (i) (ii) (iii) f(t) = 20 f(t) = t - 2et f(t)=…

A: Basic formulae for Laplace Transform are required.

Q: (k/x². x 2 -1 < x≤2 x ≤-1

A: If the function is continuos at a point then the left hand limit and right hand limit of the…

Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: The solution consists of differentiation of equation with respect to x

Q: Fill in the blank for the following statements (choose FIVE only) 1- The rectangular…

A: all six are solved

Q: A || [3 2 4 2 3 0 2 0 -2 1-3 0 3 2 57 10

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Q: 2√x 1. y = 5√x 2. y = e²x+lnx

A: Basic identities of derivative are used after some manipulations.

Q: Solve I need a clear answer by hand, not by keyboard | dybala (b) (x2+x-y²) dx - y dy <= 0

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Q: A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is the…

A: Given:The single-lane street is 10 ft wide.The radius of the semicircular tunnel, r=9 ft.We need to…

Q: Sketch a graph of f(x) = 2x + 5x2/5. Which of the following figures represents the curve of this…

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Q: 1. A single-lane street 10 ft wide goes through a semicircular tunnel with radius 9 ft. How high is…

A: Concept: As we know that the equation of the circle is represented by x2+y2=r2 Here y is represents…

Q: (b) xy' - 4y = x, (c

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Q: 2. Given: f(x)= 5x² + 13x+6 |x+2| [4 - 3x] + x, if x < -2 if x ≥ -2 Determine if lim f(x) exists. If…

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Q: 6. Sketch and label the graph of a function that describes the given situation. Pick variables for…

A: a. In this case, the population size of warthogs cannot go above 512 warthogs, so, the given…

Q: 2. Consider the function f whose graph is below. 1 0 (a) What is the domain of f? (b) Explain why f…

A: Graph of the function is given We have to find its domain and one to one function. Note:    Since…

Q: Find the derivative of each of the following A) f(x) = 128x B) g(x)=x¹8x g'(x) = C) h(x) = log…

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Q: 2. Evaluate the following limit. * 1 4 +1+ X lim x-4 4+x

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Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

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Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: I am attaching image so that you understand each and every step.

Q: 3 5 -2 4

A: We can find the answer in the below steps.

Q: ข 4 35 -7 16 2 -2 1

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Q: Q5/ A: Solve the following differential equation by Laplace : dy dx || -6, y(0) = 3

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Q: -y = 16x³ + 4√x +5x

A: Given  y = 16x3 + 4x + 5x We have to evaluate the derivative of this.   We know that ddxxn = n·xn-1

Q: Solve the Differential equation In x A 비 dy by separating the variables.

A: The given differential equation is: ln xdxdy=xy

Q: verify that det(A B) = det(B A) and determine whether the equality det(A + B) = det(A) + det(B)…

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Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: f(x) = 4x² x²+49

A: Locate the possible asymptotes and intercept/sfx=4x2x2+49

Q: What is the first derivative of s(x) Select the correct answer below: O 12(28¹¹) O 28¹2 (31n 28+ O…

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Q: What is the integral of the function f(x) = sin 2x?

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Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Solve the initial value problem given below. dy dx - 15x²y and y == = 4 when x -4

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