Find the standard form of the ellipse given below in general form. 18x² +108x +9y² – 54y +81 = 0

Q: Evaluate the integral 25 (28-4) ¹3 dz 13 x6 - 4. by making the substitution u = x + C

A: SOLUTION-

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Q: t+1' The park is concerned about the number of invasive insects found along their hiking trails. The…

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Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

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Q: (From Briggs) 1. Without evaluating integrals, explain the following equalities. a. b. 7(8-2x) dx =…

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Q: 2) Consider the function: f(t) = 0, e-kt, 0 < t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: A large rectangular movie screen in an IMAX theater has an area of 9,064 square feet. Find the…

A: To find the length and width.

Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

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Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

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Q: Find the derivative of the function. y = sin ¹(cos ¹(t))

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Q: ind the equation of the plane that contains (1, -2, 1), (1, 0, 2) and (0, -2, 2)

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Q: / 6-5-4-3-2 어 3 2 1 -2 -3 tot 12

A: To find the interval. By the given graph.

Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: the graph of the piece-wise defined function below, f(x), find the following -3 -2 ain: ge: 6 4 3 27…

A: Given query is to find domain,range and interval of increasing and decreasing.

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Q: ind, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Differentiate the function. f'(v) = f(v) = 3 √√√v - 3vev V V

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Q: What is the exact value of the definite integral K|2 ㅠ 05 O None of these. O-20 O 20 4x 25 x² dx?

A: Given query is to find the integral.

Q: › = √²) f(u)du what is dg / dx? Suggestion: Let x² = v and use the chain rule. _g(x) =

A: Given query is to find the derivative.

Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct locations. 9x²…

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Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: ector v is shown in the graph. -10 6 (-5, 12) 00 15 6 4 7 3 N O v = (-5, 12); ||v|| = 13 T 13 لمه 12…

A: Vector

Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: Find the volume of an obround tank that is 14 in. wide, 15 ft. between centres and 38 in. high.…

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Q: The answer

A: We are asked to find the increase in cost if the production level is raised from 1200 units to 1800…

Q: 15. If g(x)=√t² - 5t dt, find g"(x).

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Q: x = The position of an object at time t is given by the parametric equations y = 5t² + 1 Find the…

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Q: Find 5 [(7x³ + 3x³) dz

A: use the algebraic property of integrals.

Q: Sketch the region enclosed by y = 72 and y = 62. Find the area of the region. Question Help: Video…

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Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: What are the magnitude and direction of w = (-10, -12)? Round your answer to the thousandths place.…

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Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y…

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Q: tan x - sin x x³ 2) Evaluate i) lim- x->0 In(10¹6x+777) et ii) lim- 848

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Q: Obtain the differential equation of the family of plane curves described and sketch several…

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Q: For the function f(x) = 5x - 5x, evaluate and simplify. f(x +h)-f(x) h

A: Given query is to perform indicated operation m

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

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Q: Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2?…

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Q: Suppose the graph below has the formy - Asin(Bx) + C. 2505042 Ов 15 10 Find the value of B. OB = 1…

A: We have to solve given Questions.

Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: 6. Find a unit normal vector to the surface z = f(x, y) = xey - 2y at (0, 1, -1) and find an…

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