Determine the below equations of the eventual to find Horizontal asymptotes (HA) or Vertical asymptotes (VA): (ex. k and ex. l) 1 (g) f(x)=2x-1+ (-2)² (h) f(x) = ²+3 x+1 (i) f(x) = -x³+x²+x+1 x2 (j) f(x) = 13²²+2) (k) (1) f(x) = √4x²=5+2 5x+7 f(x)=x-3+2

Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

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Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: 1. Find the derivative using the Fundamental Theorem of Calculus, Part I, without evaluating the…

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Q: No O Yes 2. Is the follow...g graph a function? desmos.com

A: This question can be solved using the concept of vertical line test.

Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

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Q: Let 9-- 9 4 Part A: What is a coterminal angle of such that 0 ≤ 0≤2m? Part B: What are the exact…

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Q: ƒ(x)—ƒ(6) f(10) c) f(x) = =

A: To find f(x)

Q: 5. Find and sketch the domains of the functions of two variables below. Sketch the boundary with a…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

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Q: A function is given below. Determine the average rate of change of the function between t = 2…

A: Given function, f(t)=7t   from t=2  to t=2+h

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Q: 2. If f (x - 2) = 2x + 5, what is the value of each of the following?

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Q: If the value of land in an area is increasing 6.4 percent a year, how long will it take for property…

A: This question can be solved using the concept of compounding.

Q: The graph below is the function f(x) -4-3-2-1 432 1 2-2 -2- ●a Select all statements below that you…

A: The graph of the function fx is

Q: A bicycle tire inner tube producer can sell 1111 inner tubes at a price of $1.54$⁢1.54 per inner…

A: Given problem:- A bicycle tire inner tube producer can sell 11 inner tubes at a price of $1.54 per…

Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

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Q: A movie theater has a discount for groups of 15 or more people and determines the price per person…

A: Given price function, P=8-0.15(n-15)               n≥15 We know that revenue function, R=P*number of…

Q: 3. Doubling time is the amount of time it takes to double an initial deposit. You deposit $20,000 in…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Given:- y1=x-33 , y2=x-3

Q: If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage c…

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Q: 1. Prove the following limits xy lim (x,y)→(0,0) √x²+y² x³+y³ D) E) lim (x,y)→(0,0) F) x²+y² x² - y²…

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Q: Given the graph of f(x) = √√x as shown, graph the function 3 f(x + 4) - 3. -7 -6 -5 -4 -3 -2 -1 7+…

A: Solve the following

Q: 3. dy + dx x² (y² + 3) y (x³+1) = 0.

A: Here we have to solve the differential equation.

Q: EXAMPLE 2 Finding Volume Find the volume of the prism whose base is the triangle in the xy-plane…

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Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

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Q: The function f is continuous where f(-5) = -1 and f(5) = 6, and g is a function defined by g(x) = 1…

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Q: H(t) = -15 16 -15 - +² Sketch the graph of the function. 4-t - 10 - 10 -5 -5 H(t) 20 15 10 $5 H(t)…

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Q: Calculus 9) The plot below shows a function g(t), which is the derivative of another function f(t).…

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Q: (d) y' = x(1 + y²), y=tan(\x²)

A: Solution of the differential equation satisfy  the differential equation

Q: Solve the homogenous diff equation of; dy dx x²(y² + 3) y(x³ + 1) 0

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Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

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Q: 2) Suppose that a fashion company determines that the cost, in dollars, of producing x cellphone…

A: NOTE: Refresh your page if you can't see any equations. . take x=400

Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: 1. Given: F(x) = 3x²+x-4, G(x) = 1 -x and H(x) = e. Find the following. M d. H (0) F (1) h i j F 2x…

A: NOTE: Refresh your page if you can't see any equations. . take x=0 ...................answer(d)

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: уто ņx=-5 O SONGS & + 10 9 7 6 5 4 012345 -10-9-8-7 -6 -5 -4 -3 -2 -10 -2 -4 1) lim f(x) = x-(-4)…

A: Sol:- We have to explain what is telling by limits and the points for which f(x) is not…

Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

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Q: Find the derivative of the following, using first principles a) 2x2 b) x3 c) 8-x2

A: The given functions are a) 2x2b) x3c) 8-x2 Definition:     First principles to find derivative of fx…

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. f(x) exists.…

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Q: Find the general solution of y'=cos²xcosy

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Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: Evaluate: lim tan3x x→0 x

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: 1. Prove the following limits x 4y4 G) lim (x,y) (0,0) (x²+y4)3 = Does not exist

A: Solution is given below:

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

A: Solution: