Consider the circle, x² - 8x + y² + 2y-8=0 i) ii) Write the equation of the circle in standard form. Identify the center and radius.

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A: The point slope form of a line passing throught the point (x1,y1) and has slope m is  y-y1=m(x-x1).…

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A: Solution is given below:

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Q: Use partial fractions to find the power series of the function. 130 (x2 + 1)(x2 − 25) ∞ n = 0

A: Use partial fraction to find the power series of the function

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A: We have to find the correct option.

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A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: Question 16 Determine which of the following power series is equal to the function f(x) = M8 M8 M8…

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A: Let's solve 5th question, dimensions for minimize the amount of fencing.

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Q: For problems 21 and 22, consider the graph of the function below. Determine the intervals on which…

A: Let's find interval of concave up and down.

Q: 21. Find div(F), where F(x, y, z) = xyzªi+x²zªj +4x²yz³k. a) -4xyz³+xz4 b) x²y+xz4 c) yz + 3x²yz² d)…

A: Topic = Algebra Correct option = d

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A: The given integral is 1/Cos3x.

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Q: I. Find the solution set of the following. 2(1 + cos x) sin x 3. tan X 2 x = [0, π]

A: Let's solve given trigonometric equation.

Q: Question 18 Suppose that T (a)centered at 2 for f(x)is given by T₁(a)=3+5(x-2) + 8(x-2)² + 2(x-2)³ +…

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Q: Find the equation of the tangent line to the graph of the functic f(x) = 3x² - 4x +5 at the point…

A: Find out the equation of tangent line.

Q: 3. Find the domain of f(x) = = 1 - 1- x X

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Q: 23 14 f(x)dx – ¹ f(x)dx - - where a = = b [ f( and b = f(x) dx

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: Explain how you would decide between using the substitution method or the integration by parts…

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Q: 2 x²√x²+9 dx

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Q: Determine the directional derivative of f(x, y, z) = xe³+xsinz+x²y at the point (2,0,4) in the…

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Q: dy dx = 2x2-5vxy = 4y2

A: 2x2-5xy=4y2We have to find the dydx

Q: Consider the smooth parametric curve defined by the equations = t (t²-3) { = 3 (t²-3) ¹ where t € R.…

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Q: OC Find the derivative of the function y = dy dx dy 8 dx dy dx dy = - 8 x-4/5 ∞ 188 5 8 x-2/5 x 5²…

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Q: 5. Using f(x)=xln√x + 2x; Do each of the following: Find f(x) and f(x) a. b. Find critical values…

A: The given function is fx=x lnx+2x we have to find f'x and f''x use the derivative formulas,…

Q: Define the force field F(x, y, z) = . a. Find the divergence and curl of F. b. Let C be the directed…

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Q: How do you indicate an 'or equal to' inequality on a graph for a 2-variable inequality? By using a…

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Q: Evaluate the following antiderivative/indefinite integral: / [(5x² + ² + + 50² + 7) de 36 X x3 k:…

A: Topic:- application of integration

Q: (4) Recall the formulac: (5) Find the integrals: • ftan² (x) dx t: Is ta SC

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Q: 5) Integrate 2x cos (x²-5) with respect to x.

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Q: The function whose derivative is given by f'(x)=(x-¹), x 2. What is the #+2 critical point of f?

A: Critical point of a function is a point where either the derivative of function is zero or not…

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Q: PRACTICE ANOTHER The graph shows the depth of water W in a reservoir over a one-year period as a…

A: Topic- Average rate of change of function over interval

Q: Sketch the area bounded by x^2 + 2y = 4 and x + y + 2 = 0 on the image below and determine the…

A: volume of above function is π×175.19 cube unit

Q: 2. Sketch the solution region of 2x − y − 1 > 0 (x − 5)² + (y + 1)² ≤ 25.

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Q: ical numbers r = -1 and x = 2 are found from a continuous derivative the second derivative is f"(x)…

A: Topic:- application of derivatives

Q: How do you know when the system of equations is solved? None of the answers are correct When one…

A: The objective of the question is choose the correct option.