On what interval(s) are the following functions continuous? a) f(x)=sqr(x-2) b) f(x)=x^2-2x+1 c) f(x)=x/x^2-1

Q: The graph below is the function f(x) 5- 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3- -4 -5- 1 2 3 4 5 Ta Find…

A: As we can see from the graph, the left-hand side of the limit of the function at x=2 is 1As we can…

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Q: Suppose the point (6, -1) is on the graph of y = f(x). Find the corresponding point on the following…

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Q: -1.56x + 6.12 if x 2 if x=2 Let f(x) = -0.55x +5.1 1

A: 2 \\ 1 & \text { if } & x=2 \end{array}\right. \)" data-mce-style="cursor:…

Q: Find the average rate of change of g(x)= 2x^3 - x + 1 from x= -1 to x= 4

A: substitute x=-1.substitute x=4

Q: f(x)

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Q: 7000+8000 = ?

A: 7000+8000=?

Q: A company's cost (in dollars) of producing its product can be modeled by the function C(x) =…

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Q: b) If y sec(x), prove that (1) y' sec(x) tan(x): (2) y+y=2y!

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Q: suppose f(x)=1/x and f(g(2))=-1/3. find two possible equations for g(x). show how you know

A: Given that  and .The aim is to find the two possible equations for .

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Q: Complete the table to find the derivative of the function without using the Quotient Rule. Function…

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Q: Consider the function f(x) = √2x-4 for the domain [2, ∞). Find f ¹(x), where ƒ¯¹ is the inverse of…

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Q: Find the particular solution to the differential equation x³y = 4y that passes through the point…

A: The given equation is; x3y'=4y,  (-1,-2)

Q: (7) Evaluate the following integrals x (a) √2 + In a J X dx

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Q: Find the domain and range of the exponential function, f(t) = 12(1.3) t+1. Express your answers in…

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Q: Write the differential equation of the following satisfying the given conditions. 1. Family of…

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

Q: Consider the following graph. 0 1 Determine whether the curve is the graph of a function of x. Yes,…

A: A graph of the curve is given.The aim is to find its domain and range.

Q: In this question, you will solve the following non-homogeneous second-order differential equation…

A: The given differential equation is; d2 + 8[d y(x)/dx] +12y(x)=9x-3

Q: (4) Find the cost function each marginal cost function. (a) C'(x) = 4x - 5; Fixed cost is $8.

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Q: Let f(x) = x² + 4x+2 if x #-2 1-1 if x=-2

A: f(x)={x2+4x+2 if x≠−2−1 if x=−2

Q: Use the graphs to evaluate the expressions below. 6- 5 4 3 2 1 -1 -1 f(x) 1 f(g(5)) = = g(ƒ(1)) = =…

A: A graph of the functions  and  are given.The aim is to find the values of the composite function,

Q: Find the given limit. lim (-x² +9x-8) X X-5

A: Topic = Limits

Q: 4x²+x+2 1. Find the general antiderivative of x+1

A: *Note - As per our company guidelines we are supposed to answer one question. Kindly repost other…

Q: right (or the bottom). | 100 7634 24 7 -2- (z) is displayed on the left (or the top). The graph of y…

A: To find

Q: Question: Determine the differential equation of the family of lines passing through the origin.

A: To determine the differential equation of the family of lines passing through the origin.

Q: Notice that the curve given by the parametric equations x x At which t value is the tangent to this…

A: In applied mathematics, parametric equations are frequently encountered, especially in physics,…

Q: Let f(x) = 1²-16 +4 1²-16 H-4 x > 0 I≤0 Find lim f(1)

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Q: At what points is the following function continuous? f(x) = 3 x + 343 2 - 49 X - 10.5, 9, X#7, X - 7…

A: To determine the points at which the following function is continuous.

Q: Select all of the following graphs which represent y as ● ● 4 3 2 1 -5-4-3-2-1 Fri -2 -3. 4 -5 5+ 5…

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Q: Determine the value of lim-0 Question 1 √²+9-3 z² Use the Graph Method to approximate lim+0 Adjust…

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Q: Find lim Δx - 0 f(x+ Δx) - f(x) Δx where f(x) = 4x-4.

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Q: Estimate the limit numerically or state that the limit does not exist (DNE): sin (9x) lim x→0 X

A: Multiply and divide by 9

Q: Considering the definition of f(x) below, find lim f(x). x 5 f(x) = -x²+x+1 -3x - 3 -x²+2x+2 if if x…

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Q: To achieve the maximum benefit for the heart when exercising, the heart rate (in beats per minute)…

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Q: Q2: Solve 1- y// + y = secx

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 8x +4, and the price-demand…

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Q: Sketch the region enclosed by the given curves. y = 2/x,    y = 8x,    y =1/8x, x>0 Find its area

A: We have to sketch the region and find its area.We will first find the intersection points and then…

Q: 10. A car braked with constant deceleration of 5 m/s² producing skid marks measuring 60 m before…

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Q: Let J(x) Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: (b) | 2 √ed eva dx

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Q: If f(x) = 2x(sin x + cosx), find f'(x) = f'(5) = Question Help: Video Submit Question

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim sin(x) X-0 X

A: Since, you have posted multiple questions as per guidelines we are supposed to answer only first…

Q: Let f(x) = Let f(x) = x2 1 16 x +4 x² - 16 x-4 x² - 16 x +4 x² - 16 X 4 - x > 0 x 0 x < 0 Find lim…

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Q: 320.81−(6107.0/1.8) Express your answer to the appropriate number of significant digits.…

A: Given expression digits should be the least digit which occurs in the expression In the given…

Q: For f(x) = x^2 + 3x - 5, find the simplified form of the difference quotient.

A: For a function f(x), the difference quotient is given byf(x+h)−f(x)h

Q: The graph below is the function f(x) 0 If any a) lim b) c) 24-12- -15 of the limits or y-values do…

A: The graph below is the function .To evaluate the following limits.Note: Since the student has posted…

Q: 1) Find the Laplace transform of the following functions 1. e¹¹t+5

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Q: (b) Consider a tree of height y meters. Use the model above to find an expression for the…

A: Answering part (b) Since other parts all correct.Consider a tree of height y meters. Use the model…

Q: Question 35 The initial value problem is given below: y"-5y-14y= sin(6t) y(0) = -4, y' (0) = 1…

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