Use a system of linear equations with two variables and two equations to solve. A number is 8 more than another number. Twice the sum of the two numbers is 32. Find t numbers. Enter the numbers in increasing order. First Number: Number

Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

A: We have to check that series 1/2*(2/5)n  where n=1 to infinity. Is convergent or divergent.

Q: Consider the graph of y = f(x) shown below in blue. Find the open interval(s) where f'(x) is…

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Q: B)Solve the differential equation da x+4y

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Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: B)Is w = Zez analytical function or not?

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Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: 8. Find the vector equation of the line that passes through P(-3,5) and is parallel to the line 3x -…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Using the Inverse Function Theorem, what is (-) (8) given that f(x)=√6x-2? Note that (11) = 8. (B8…

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Q: Q2A)Matrix A = 4 ,find Eigen values of A².

A: Solve by matirx

Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: Find the value of E, the margin of error, for c = 0.99, n = 15 and s=5.4. OA. 1.072 OB. 3.659 O C.…

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Q: If f(x) dx = 3 and g(x)dx = −2, then which of the following must be true? I. f(x) > g(x) for all a ≤…

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Q: ди 2²u Consider the heat equation = +2x, for a bar of length L=1, with non homogeneous boundary…

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Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: A particle is moving along the x-axis so that its velocity at any time t≥ 0 is given by v(t) = 5tet…

A: Explanation of the answer is as follows

Q: Evaluate 3+x lim,¬4¹ (x-4)(x+2) 01 0 0 8-8 O +∞

A: The given limit is: limx→4+3+xx-4x+2

Q: ƒ (t) = -{ 5,03

A: We know the followingLf(t)=∫0∞e-stf(t)dtLeat=1s-aLtn=n!sn+1Lsinat=as2+a2Lcosbt=ss2+b2

Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: let a a E R - {0} and g the function defined by : sen (2) si z #0 az g(x) = 5 si z = 0 The function…

A: In this question, we want to know for what value of a , the given function g will be continuous on…

Q: Evaluate f(sinxcosx + tanxsec² x) dx O-[sin²x + tan² x] + C O tan²x - sin²x + C O sin²x - tan²x + C…

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Q: Asymptotic to x= 0, x=5 and y=0

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Q: Given the functions: g(x) = |x-2| Evaluate the function (h-g) (5) for the given value of x. Write…

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Q: Find f'(0) if f(x) = a; a, b, c, d constant bc-ad O d² ad-bc (c+d)² ad-bc d² ad+bc d²

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Q: B)Solve the differential equation x+4y M

A: Given differential equation is:

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: Classroom activity 9.1 the monthly income earned by each of the following workers paid by the hour…

A: We have to determine the monthly income.

Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

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Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…

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Q: You need a 50% alcohol solution. On hand, you have a 110 mL of a 10% alcohol mixture. You also have…

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Q: A price p (in dollars) and demand x for a product are related by2x2−8xp+50p2=11400. If the price is…

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Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

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Q: (b) Use L'Hopital's Rule to find the following limits: e-1 x (i) limx→0 (ii). lim-0 x-y fl (x > 0, y…

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Q: O- - 1 2x (In x)2

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Q: Assume that f is continuous on the set of real numbers. Find a and b given that cb 3 f(a)da - [³…

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Q: Find all critical numbers for the function. State whether it leads to a local maximum, a local…

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Q: Use the Inverse Function Theorem to find (s−¹)' (6) given that s(x)=√√-8x - 4. Note that s(-5) = 6.…

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Q: Suppose that the nth term of the sequence of partial sums for a given series is Sn = 1+2n+3n² 4n²…

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Q: Find the derivative: g(x) = 6x² e- X O g'(x) = 6xe (2-x) Og'(x) = -12xe** O g'(x) = 6xe (2-x) O…

A: We have to find derivative of given function.

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: Evaluate the integral. 2 - 121 y - 121 2 -dy, y> 11 dy=

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Q: Fill in the blanks: Use integration to find the volume of the solid obtained by revolving the region…

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Q: t=sin³x B) [2 sintdt cos(sin 2x)sin 2x dx- A) sintdt D) [ 2 cos tdt →? c) fcos tdt E) fcos 2tdt 4.…

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Q: Describe type I and type II errors for a hypothesis test of the indicated claim. A culinary school…

A: Here we have to find type l and type ll error.

Q: A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: B)Convert r = √2 cos(8-) to cartesian.

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Q: 4: Find the indefinite integral of f(u) = -1-3√ =

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Q: If y, and y, are linearly independent solutions of t²y" + 2y' + (5 + t)y = 0 and if W(y₁, y₂)(1) =…

A: Given

Q: Q5A) Find volume of body from above Z = Triple integration. 4-x2 - y2 and below Z = 1 using

A: To find the volume of body bounded by given curves.

Q: Consider the functions f (red) and g (blue) y 10 12 for these functions we have that the line y=8 is…

A: Topic = Limits Just 1 is true.

Q: B)Is w Zez analytical function or not? =

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