Write the domain in interval notation. f(x) = x-4 x+1

Q: Instructions: Write out your solutions, scan them as a pdf, and upload them to COTROnline by the…

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Q: Given the following table, give the best estimate for f'(9) - f(9) X f(x) 0 30 3 42 6 55 The…

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Q: = 4x2 + 7xy +

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Q: Determine the end behavior of the graph of the function. h(x) = 12x³ +9x²- -4x+8x-4 As x →→∞, h (x)…

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Q: The solution to the differential equation (x²2 -4xy-2y²)dx+(y² -4xy-2x²)dy=0 a. y²(y-6x)+x²(x-6y)=c…

A: To find the solution of the following differential equation. x2-4xy-2y2 dx+y2-4xy-2x2 dy=0

Q: 16x²64x25y² + 150y - 161 = 400 a) General Equation form b) Standard Equation form c) Distance…

A: As per our guidelines we can answer only 3 subparts of the given question, so kindly repost the…

Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as y…

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Q: Find the derivative of the function using the definition of derivative. g(x) = √6-x g'(x) = State…

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4x

A: This is a problems related to differentiation. Please follow the procedure given below.

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy x² +…

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Q: Part 1: The derivative at a specific point Use the definition of the derviative to compute the…

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Q: Use linear approximation (L(x)= f'(x) (x-y1) + f (x1)) to approximate ln(2.5).

A: The linear approximation of the function fx at point a is Lx = fa+f 'ax-afx=lnx,  a=2.5Lx=fa+f 'ax-a…

Q: If the tangent line to the curve y = f(x) at (4, 3) passes through the point (0, 2), find f (4)

A: If the tangent line to the curve y=fx at 4, 3 passes  through the point 0, 2, then to find f4.

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = 2x² + 3y² - 16x…

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Q: 5. Simplify the expression in terms of i. Leave your answer in a radical if the radical cannot be…

A: To simplify the expression in terms of i. (i) -6-15 (ii) -637

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Q: can you write the equation and graph it?

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Q: Let the complete solution of Ax = (a) Find the order of A. (b) Find the dimension of N(A). (c) Find…

A: Note: Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: A company produces a special new type of TV. The company has fixed costs of $464,000, and it costs…

A: Solution: Let's start by finding the demand equation. Since the demand is linear, we can use two…

Q: QUESTION 1 Find the equation of a circle x² + y² +2gx +2fy+c=0 which passes through points A(1,1),…

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-∞', as appropriate. V1 + 64x6 7-x3 lim…

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Q: sin 0 0 0 + tan 0 55. lim

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Q: Of the three (above) mentioned approximate integration techniques, which should be used to…

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Q: Assuming annual​ compounding, find how long it would take for the general level of prices to double…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…

A: Let the edge of the cube is x cm The given data is: dxdt=8 cm/s

Q: Suppose a company has fixed costs of $300 and variable cost per unit of 2x +1460 dollars, where x is…

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Q: 1 7 + 2x (a) Method 1: Write f(x) = (7 + 2x)−¹ and use the chain rule. 2. In this problem you will…

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Q: Determine the point(s) on the surface z = xy + 5 + (Give your answer as a comma-separated list of…

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Q: y6 Find the length of the curve x = 6 + 1 16y4 from y = 1 to y = 3.

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Q: 2. Construct a table of values to investigate the following limits and then graph. ( use 3 values of…

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Q: experiment consists of rolling two fair dice and adding the dots on the two sides facing up. Find…

A: We need to find probability.

Q: Write an equation for the function graphed below. Use y for your output variable. -6 1 -5 4 1 1 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use two iterations of Newton’s Method to find an approximate solution for the equation cos(x) = x^2…

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Q: 10) A lifeguard is watching a beach from a line of sight 6 feet above the water. She sees a swimmer…

A: ( 10 ) Given height above the water = 6 ft depression =8°

Q: Perform the indicated operations and simplify your answers. i. -(60-301)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find f'(x). f'(x) = f(x): Find f'(-1). f'(-1) = 14 equation = -9x + 5 Find the slope and an equation…

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Q: Consider the following: 9x² + 16y² = 144 (a) Find two explicit functions by solving the equation for…

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Q: Find the area of the surface generated by revolving the curve y = - 18' -2√2 ≤x≤0, about the x-axis.

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Q: Sand falls from a conveyor belt at a rate of 14 m³/min onto the top of a conical pile. The height of…

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0.8K0.2 where L…

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Q: Find the area enclosed by one leaf of the rose r=2 cos (38). The area is (Type an exact answer,…

A: given :r=2cos3θ

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Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: Suppose y = sin(2x² + 2x - 2). We can write y = sin(u), where u dy du du dr dy . The Leibnitz…

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Q: lim x→∞0 2x√√√x²+x+1 x4-9

A: Explanation of the answer is as follows

Q: g to find the value of eac

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Q: 2. Sax 3x arctan (2x) dx

A: Given integral:-  ∫3xarctan2xdx

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: For the equation given, evaluate dv 5exy - 4x = y 7 dy at the point (3, 0). (Round your answer to…

A: Given query is to find derivative at indicated point.

Q: Values we also know cos B 1. Suppose we know sin a = and 0 < a < 2, and suppose 2√5 and 5 2 - <3 <…

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