plify the following expression using laws of set theory (AUB)U(AUB)

Q: Find a formula for the general term a sub n of the sequence assuming the pattern of the first few…

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Q: Use a suitable change of variables (i.e., substitution) to evaluate the following integral. Hint:…

A: First I have made some change in the integrand by using trigonometric identity and then by suitable…

Q: L1: x= -1 + 4t, y = 3+2t, z = 2-t; - < t < co -ASA L1: x=2+s, y = 3+2s, z = -2+2s;

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Q: lim (x,y)-(1,0) x² + y²-1 +y

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Q: Consider the following function. f(t) = 60e0.3t (a) Find the relative rate of change. X (b) Evaluate…

A: a)  formula for relative change is =f'(t)f(t)deatdt=aeatf(t)=60e0.3t

Q: 12. f sec² 20 do

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Q: f(u) = Using the u-substitution u = 3x² + 1, identify f such that the integral help (formulas) X 3x²…

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Q: T-= (0) ¹r7 = fixg + fi 2. Solve the IVP

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Q: [13] of 2] and find an associated eigenvector for each 12- Find the eigenvalues of eigenvalue.

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Q: If the amount of powder for a specific substance is 100 mg, and if the ratio is 2:4:8, how much is…

A: use the ratio and proportion

Q: You have been asked to determine where a wa- ter works should be built along a river between…

A: Given, From the figure, Length of the pipe to Chesterville = AC Length of the pipe to Denton = AD…

Q: Characterize each of the following geometric series: ΕΣ(3) Σ( ΕΣ (9) ΕΣ(3) η 1 η 1 7 1 η Ι a.…

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Q: 11. Which of the following is equal to n Στα (4) COS n→∞ k=1 (a) lim n (e) Him (1+5) n-x k=1 (e) lim…

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Q: 13) I have 20 bacteria in a culture. In 12 hours, I have 100 bacteria. If the population of the…

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Q: 1. In the order of dzdydx, find the volume of the solid bounded by x² + y² = 4 and the planes x + z…

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Q: fe Given that ex dx = = e³e, use this result to evaluate 3 7ex +6 dx.

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Q: The graph of the DERIVATIVE of f(x) is below: 6 -6 -5 -4 -3 -2 -1 54 4 3 2 1 7 -2 -34 14 -5 -6 -7-…

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Q: ƒ(x,y,z) = x¹² – ycos(xz²); d³f find e" əxəyəz zܐx at (7,0,1).

A: We can find the value of the given partial derivative by using the partial derivative rules

Q: Use the Continuous Compound Interest II information above to answer this question. Find the…

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Q: Identify a particular solution to y" - 2 y' + y = e ^2t that goes through the point ( 0, 2) .

A: We need to identify the solution of y''-2y'+y=e2t, that goes through point (0,2) or y0=2

Q: Consider the following function. f(t) = 30√t-3 (a) Find the relative rate of change. X (b) Evaluate…

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Q: 3. Tim ( x ²-1 x2-3x+2/

A: use L'hospital rule limx→1(x2-1x2-3x+2)=limx→1∂ ∂x(x2-1)∂ ∂x(x2-3x+2)∂xn∂x=nxn-1

Q: Use a definite integral to find the area under the curve between the given x-values. = 8e2x from x =…

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Q: evaluate the integral. Ay 16- 0- NIX 2 y = 3x + + 02 4 6 X ... 10% dx 2

A: We have to setup the definite integral such that represents the area of the given region

Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² S(t) = t² + b where…

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Q: * Evaluate by converting to polar coördinates. 2. 4-x² - dA R given by x² + y² ≤ 4 with x ≥ 0

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Q: Find the arc length of the curve on the interval [0, 2л]. Hypocycloid perimeter: x = a (cos(0))³, y…

A: formula for arc length is  L=∫02π(dxdθ)2+(dydθ)2dθ∫sinθdθ=-cosθ+cdxndx=nxn-1

Q: Find the measure of the three missing angles in the following pentagon. 5 7 60° 5 40° 6 8

A: Given: two angles is 600 and 400 and the sides are 5,8,6,5,7  to find: remaining angles in the…

Q: Evaluate the following integral in cylindrical coordinates. 1 √1-x² √x² + y² S S (x² + y²)-1/2 dz dy…

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Q: π/3 -π/6 [(7 se 1) k] dr sec t tan t)i + (8 tan t)j + (3 sint cost)

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Q: Give the general solution x" + 3x' - 4х q = O +

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: tan 0 (2 sin 0+√3)= = 0

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Q: 1) Suppose the function f(x) is continuous everywhere it is defined and that the domain f }. [Read,…

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Q: 2. Determine whether the series is absolutely convergent, conditionally convergent, divergent. 1-1…

A: Note : As per rule I can solve only 1st question.

Q: the last one is wrong

A: Remember: f(t) = 2    on (0, 2]  and f(t) = t   on (2, 4]

Q: 1 √√x²z+2y g(x, y, z)=- +yln x ; find g (1,0,1). zyx

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Q: QUESTION 4 State the general anti-derivative of f(x) = -√x F(x) = - 5 x² +C 3 ○ F(x) = -√√x³+C x ) =…

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Q: Find all asymptotes of f(x) = 3x-9 x² - 4x +3

A: To find the asymptotes for the given function 00

Q: If the 100th term of an arithmetic sequence is 711, and its common difference is 7, then  its first…

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Q: 3 n-∞0 2-ni (a) lim (b) lim Z-2 (c) lim 7-2 x²-4 x+4 4 x-2 I

A: Solving the first three subparts,

Q: Use the Continuous Compound Interest I information above to answer this question. If $14,453 is is…

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Q: Find the sum of the intercepts of tangent line to the curve y = x² + 6x-10 at x = 12 -2258/15…

A: To find the sum of the intercepts of the tangent

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A: we need to find out the coordinates of local maxima, local minima, inflection points.

Q: 10 cos(πt/2) dt

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Q: 3. [11.9] Find a power series representation with center at x = 0 for the functions and determine…

A: Solve the following

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Q: Suppose x = 9 and y = 5 in the figure, which is not drawn to scale. Find the following. Enter exact…

A: To determine the values of given trigonometric ratios.

Q: 6. Solve the following Euler's equations: (a) x²y" +5xy' + 4y = 0 (b) x²y" - xy + 3y = 0

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Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

A: Given query is to find polar coordinates of the point.