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Q: Let U = {a,b,c,d,e,f, 12, 13, 14, 15, 16, 17), X = {a,b,c,13,14,15), and Y = {b,d,f, 12,14,16}. List…

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Q: 53. sec² x 1 + sin x sec² x - sec x tan x cos² x

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Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. 1. 4 f(x) dx…

A: Given both the circles are the semicircles a) ∫14f(x)dx =area between x = 1 to x = 4

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: given  x=2sin(π6t)               y=2cos(π6t)     sin2x+cos2x=1           x2+y2=4time=2πw    where w…

Q: 66. 1 sin¹ x cos²x + cos² x sin² x -

A: The given trigonometric equation is 1-sin4x=cos2x+cos2xsin2x We have to verify the equation

Q: Express the given equations in polar equations. x² + y² = 7 4xy = 3 (a) (b)

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Q: Let z(x, y) = Calculate дz მs дz Ət дz მs & 8x2 - 4y2 where X = 9s + 3t a y= ?х ду дх д' ' д дz Ət…

A: To find the partial derivatives

Q: Suppose that a company expects its annual profits t years from now to be f(t) dollars and that…

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Q: A box with a square base and open top must have a volume of 131072 cm³. We wish to find the…

A: NOTE: Refresh your page if you can't see any equations. . x= side length of the square base so we…

Q: Let z(x, y) = x²y where x = t³&y=t⁹. dz dx dy dt by first finding -& and using the chain rule. dt dt…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Find a power series representation of 1/(3-2x)

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Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 17. Σ 7-1 3.5 (2n-1) 5"n!

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Q: Use the figure to evaluate the definite integrals S 2 1 y -1 -2. 1 2 y = g (t) 3 4 +t 5 g(t) dt and…

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Q: 8. a. b. Let s(t) 6t³ - 45t² + 72t be the equation of the position of a particle. Find a function…

A: As per Bartleby guidelines we're supposed to answer only 3 subpart of a question .  This question…

Q: 2 Y /8-y² 1 /1 + x² + y² dx dy=

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Q: A ball is thrown into the air and its position is given by h(t) 7t² +65t+19 where h is the height of…

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Q: Section 2: Find sin and cos 0 if the terminal ray of angle 0 passes through the given point. 7.) (3,…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: the that you don't need to use. f(x) = 3xe8x cal number of the N N N llowing reasing order. nter any…

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Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

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Q: 20. To apply the root test to an infinite series Σ an the value of n P = lim (an)¹/n 818 has to be…

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Q: (xy²dy) = (y³ – x³)dx, y(1) = 2

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Q: Calculate ∂ω∂z for ω=ze(xy2+2z).

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Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: The region R is bounded by the ellipse:(x-4)216+(y-2)21=1

Q: Find a second degree polynomial of the form ax² + bx + c such that f(0) = 5, f'(0) = -5, and f" (0)…

A: Given query is to find the polynomial.

Q: If then f(x, y) = 4x²+8y³ – 5sin(8xy) - fx (0, π) = -5 • Ignore "Give your reasons" below. There is…

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Q: Graph the function f(x) = ' x-x determine the following limits. Complete parts a through d below.…

A: Topic = Functions Correct graph = A

Q: Calculate the approximation M4 for the given function and interval. f(x)=3*, [1,3] (Use decimal…

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Q: The vector v = ai + bj is perpendicular to the line ax + by = c. Use this fact to find an equation…

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Q: Factor the polynomial f(x)= x4-7x3+2x2+28x−24 given that 6 and -2 are zeros. then identify all real…

A: We will first factorise f(x) knowing (x-6) and (x+2) are factors then will find other zeros.

Q: Calculating First-Order Partial Derivatives In Exercises 1-22. find af/ax and af/ay.

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Q: Use a definite integral to find the area under the curve between the given x-values. 3 X f(x) = from…

A: To find the area under the curve.

Q: Simplify the expression using only positive exponents: 24x7/2 25x 8x2/5 5

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Q: Determine if the following sequences converge or diverge. If convergent, find the limit. You must…

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Q: Find the equation of the line tangent to the given curve at x =a. Use a graphing utility to graph…

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Q: Given f (x) = 3x + 2 – 1, what is f –1(x)?  f –1(x) = log3(x – 1) + 2  f –1(x) = log3(x + 1) – 2…

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Q: 9. An antiderivative of a function f(x) is a function F(x) such that F'(x) = f(x). Find any…

A: Note: sorry for the inconvenient  as per our guidelines  we should solve only 1 question. So please…

Q: 1. Selected values of f, g, and their derivatives are given in the table. f(x) g(x) f'(x) a. b. x -3…

A: As we know that (i) if h(x)=f(x)·g(x) then h'(x)=f'(x)·g(x)+f(x)·g'(x)(ii) if j(x)=f(x)g(x) then…

Q: Find the absolute maximum and minimum of f(x, y) = 4x + 2y within the domain x² + y² ≤ 25. Please…

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x-3)…

A: Given:   To determine: The point(s) where the function g(x,y) is defined.

Q: dx (6-x²)² 3

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Q: 6. Given: lim [(x + 3)1/2/(4 - x)] as x approaches 6 7. lim[(4x2+7)/(2x2-3x + 5)] as x approaches…

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Q: a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

A: Given query is to find the temperature at indicated points.

Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

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Q: Find the length of the curve Arc length: = y=e", 0 ≤ x ≤ 1.

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Q: Test the series below for convergence using the Ratio Test. n + 3 12n+1 = 1 n=

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Q: reference number of each value of t: 4pi/7 and -7pi/9

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Q: Show that sin x < x for all x ∈ (0, 2π).

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Q: The derivative of a function is given by f'(x) = -63x² - 12x +18. Give 3 different functions that…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…