i) Determine the following information for each rational function: -domain -x and y intercepts - coordinates of any hole (removable discontinuity) - equations of asymptotes (vertical, horizontal/oblique) - Behaviour of function at the vertical asymptotes -End Behaviour of function ii) Use this information to sketch a graph (on graph paper) of each function. 2x² - 4x f(x)=- x²8x+12 1. f(x)= x-1 x+3x-10 2 2.

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Let's find area between given cardioid and circle.

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: √2 3y 8-x²-y² ·SS S 0 0 x²+3y² 1. dzdxdy

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Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

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Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Question 1 C(0, -3,-1). Consider the points A(2,-1,0), B(3, 0, -2), and (a) Find the equation of the…

A: Given

Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x<0 Vertical dilation of scale factor 3 f(x) = -3x and x<0

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: 2. S dt

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Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

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

Q: The equation (x − 1)² + (y − 4)² + (z − 3)² = 25, - is an equation of the sphere with center C(1,4,…

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Q: a. A rectangular pen is built with one side against a barn. If 600 m of fencing are used for the…

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: lim f(x) x → -2+ lim f(x) x →-2- O False O True 4 3 2+ 1+ -5 -4 -3 -2 -1/ 1 2 3 4 → 5x

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Q: The function h is defined as follows. h(x) = x² +7x-18 x²-8x+7 Find h (4). Simplify your answer as…

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Q: Find the general solution of the following differential equation. y" +9y+ 20y = 0 NOTE: Use c₁ and…

A: See the details solution in below

Q: Use the matrices below to perform matrix multiplication. If the operation is undefined, enter NA. B…

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Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: Evaluate FR 1.³ 0 sin(2x + 3)dx None of them 0.9989 0.9899 = -0.9899 1.21 -0.9998 -0.9989

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Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: x + 2y + 2z = -3…

A: According to Bartleby guidelines I can only answer the first question of the given two problems.

Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: 6. Evaluate lim no 3n²-7n +41 2n² +42n- en

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Q: 27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified…

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Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: Given problem:- find the derivative of the function g(x, y, z) = 3ex cos(yz) ,at the point P0(0,0,0)…

Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: 1 A = 1 1 * The Eigen values of the matrix 0 1 1 10 1. 1 10 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0-12

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Q: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

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

Q: H.W: Find f, f, and f, if f(x, y, z)= x - √y² + z² x=(x.x)\S xh + lis

A: Here we have to use the concept of partial derivatives

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: B-Find the area of the region inside the carver-1+cose and outside the curve -1 and graph the two…

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Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |ab|? Select one: O √9 O -√9 O…

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Q: Solve the system of equations by any method. -2x + 5y = −35 7x + 2y = 25 Enter the exact answer as…

A: We use the elimination method to solve the given system of equations.

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