Challenge #4: Sketch the DERIVATIVE of the graph shown here. T -8 √ 8 S 4 -4 4 K 8

Q: Use the given graph of the function to find the x-values for which f is discontinuous. 1,0 1,0…

A: Topic- Discontinuity of a function A function is discontinuous at a point if there is a jump in the…

Q: The graph of y = f(x) is shown below. -6-5-4-3-2 Provide your answer below: 23456 Draw the graph of…

A: given graph of f(x)Translation rule:1) f(x+k) shift f(x), k units left2)kf(x) vertically stretch the…

Q: Consider the system 0 [9 -4a-1 -b-3 1-8a -26-6 a. Given that b-3, for which value of the parameter a…

A: Here we have to use the concept of system of linear equations.  I have appended the formula used in…

Q: nd the average rate of change of the given function between the following pairs of x-values. (Round…

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Q: Challenge #6: Sketch the DERIVATIVE of the graph shown here. T √ -10 ✓ -5 S 10 0 -5- 5 10

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Q: ity before taking limits. 33. f(x)=x²+1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. Differentiate y = √e(72²-2) (a) by using the chain rule directly with functions f(x) = VI and…

A: Given, y=e7x2-23

Q: I. Let z = /x² + y². 1. Find 8²% дудх 2. If x and y are functions of v and w given by x = v² ln w…

A: I, Given z=x2+y4 Let f be a function of x,y, x,y be  functions of v, then by Chain Rule we have,…

Q: 1. Find the general solution for y" + 3y' - 10y = 36e¹x; y(0) = 2, y'(0) = 1. 2. Find a general…

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Q: The slope of the tangent line to f(x) = cos(x) sin(x) at x = ㅠ 2 5

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Q: g(a)=-2a+5 f(a)= 3a +5 Find (2)(a)

A: As per our answering guidelines we are allowed to solve only one complete question. Kindly repost…

Q: Find g"(x) for the function g(x) = (x − 3x³)(x² + 1). [A] 6+ 2x [B] 60x4 - 12x [C] -60x³ 12x [D] 0…

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Q: 9. Identify the horizontal asymptote of f(x) [A] y = 3 [B] y = 8 [C] y = 9 = √9x4+25x+x² x²-9 [D] y…

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Q: What value(s) of 6 are an appropriate choice when proving the following limit? 6 1₂(x+3)²) = Enter…

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Q: f(x) = 4sin (1-3x2) + xcosx-9, then f'(x) = -24xcos (1-3x2)+cosx-xsinx True O False

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Q: Find the volume of the parallelepiped with one vertex at (1,5, 0), and adjacent vertices at (-6, 12,…

A: Given:     One vertex is  O1,5,0     Adjacent vertices are P-6,12,-4…

Q: Find the domain and range of function and show your solution thanks

A: Given:        fx=x+4 Domain:      y=x+4     x+4≥0     x≥-4 Thus,        Domain is  x≥-4…

Q: 8. Find the position function r(t) given that a (t) = (-1,-1,-1) and 7(0) = (-5, -5,5) and 7(0) = 0.

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Q: Find the domain of the function graphed below. J Domain: + A 47 TOPS 4

A: We have given graph of a function  Domain is the values of x for which a function is defined.  From…

Q: Let f(x) = −6x(sin(x) + cos(x)). Find the following: 1. f'(x) = 2. f' ( )=

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Q: Express the function f(x) = 1+ |2x - 5] in piecewise form (without using absolute values.…

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Q: positive

A: We have to discuss about continuity of the given function

Q: Use the table below to fill in the missing values. Assume f(x) is a one-to-one function. x f(x) 0 1…

A: Given data where,  fx is a one-to-one function.

Q: Find f'(x) by using the definition of the derivative. f(x) = x² − 7x +4 f'(x) =

A: Solve for the derivative by using defination of derivatives

Q: Find the differential equations of the following family of curves.

A: The cardioid equation in polar form is given by   r=a(1+cosθ)

Q: Find f'(x) by using the definition of the derivative. 1 4x f'(x) = f(x) =

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Q: lim cos (2/x + pi) x-infinity

A: The limit is given by limx→∞cos2x+π To evaluate: The value of the limit.

Q: Determine the end behaviors for the function f(x) graphed below. -5 -4 -2 -1 6 5 4 3 2 1 -1 -4 -3. 4…

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Q: Solve the initial value problems. 15. dy dx 3ex, y = 6 when x = dy =4e-3x, y = 2 when x 4y, y = 3…

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Q: Consider the following function. f(x)=√√√x, (4,2) (a) Find an equation of the tangent line to the…

A: Topic- tangent line to a function at point we are given , f(x)=x and point (4,2)and we know that…

Q: If f(x) = 4x² − 4x + 2, find f'( − 3). Use this to find the equation of the tangent line to the…

A: We have to find out the tangent line

Q: Wheat, corn and rice are to be planted on 12000 acres of farmland. Each acre can produce 35 bushels…

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Q: Part 1. It seems that it is useless to study the techniques of integration nowadays because of the…

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Q: Find the domain and range of the function graphed below. -4 -3 -2 -1 Domain: Range: 4 3 2 2 -1 -4 -5…

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Q: Let f(x) = x² + 9, g(x) = x − 8, and h(x) = √√x. Find the given compositions. Expand and simplify…

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Q: 4. The movement of a certain glacier can be modelled by d(t) = 0.01t² + 0.5t, where dis the…

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Q: 33. Free-throw Shots According to physicist Peter Brancazio, the key to a successful foul shot in…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Given the graph f(x) = || shift the two movable dots to display the following function:…

A: The graph of f(x) = |x| is given as

Q: Use the trapezoidal rule to approximate the integral the integral sign , lower limit = 0 , upper…

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Q: The graph of y = f(x) is given below. Which of the answer choices shows the graph of y = 2f(x)? -1 S…

A: To solve this problem we will apply the concept of vertical stretch factor.

Q: What is the mean radius 7 from the midpoint of a cylinder of radius a and height h to its boundary…

A: Given a=h2=10 cm

Q: 6x - 5 The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 5x+3 Find the…

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Q: b) h(x) = 5e cos(x)

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Q: r(t) = (cos πt, 2t, sin 2πt), from (1, 0, 0) to (1, 4, 0)

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Q: Let f(x) = 8 ● e. Find f'(x)

A: Given, f(x)=8x·ex

Q: Find the integrating factors for the linear differential equation y'=5y+8

A: We can solve this as follows:

Q: Consider r(t) = (2 cos (t), 2 sin (t), −t). Find the unit tangent, unit normal vectors, T (t), Ñ…

A: Given expression: r→(t)=2cos(t), 2sin(t), -t

Q: Find a parametric curve that describes the intersection between the surface S: x2 + y2 - z2 = 0 and…

A: The answer is given below:

Q: 3. An aluminum rod 8m long has linear density √2+1 kg/m. Find the total mass and average density.

A: Total mass of a rod of length l of having linear density ρ(x) is ∫0lρ(x)dx.Average density…

Q: Suppose that f(x) = 3x² - 4x + 4 and Find the following: 1. (fog) (6) = Number 2. (fog)(0) = Number…

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