Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A 6/11 B 2/5 4/3 D) 1/2

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: Describe the graph of the equation. r = -6i+ (1 – 1? )j + t k O It is a parabola in the plane z =…

A: Given problem:- Describe the graph of the equation.   r = - 6i + (1 - t2) j + tk

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) (t) = (e-e 2 %3D L{f{t)}…

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Q: Question 8 dx Evaluate the integral improper integral (2x – 1) 3 00 (А) 1/9 в) 1/6 (c) 1/8 D 1/4

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Q: Please

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Q: Match the vector field with its graph. F(x, y) = yi -5+ 1信 5 5

A: We have to graph the vector field of the given function

Q: 1. a) Find the linear approximation of f(x) = Vx at x= 27 %3D b) Use it to approximate V26.9

A: To find linear approximation of given function

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Q: (а) у"— (а + В)y' + аBy %3D 0 (а + B)

A: Answer as follows

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A: Given,  s+3s2-8s-9

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A: Here we have to solve the given problem.

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A: In our question we are given that winner receives $40,000 plus $ 40000 at end of each year for 39…

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

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Q: .3 dx

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Q: Given below is the augmented matrix of a system of linear equations.

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: How many terms of the series (-1)" 1+2" are needed to compute the sum of the series with an error…

A: By Alternating series estimation series test : s=∑n=1∞(-1)nbn        1)  bn+1≤bn2)  limn→∞ bn=0Then…

Q: If possible, find AB. (If not possible, enter IMPOSSIBLE.) 0 1 0 B = 3 1 A = -5 5 0 4 2 1 8 6 -1 7…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim x-4 (Vx+5)-3

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Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

A: given

Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

A: First supposed that an angle as alpha then use trigonometric ratio  and make a relation between x…

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A: Flux of the given field is given by

Q: nswer.

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Q: The population in a small fishing village on the east coast is decreasing by 7.5% per year. In 2003,…

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Q: Q4) Find for the following functions ( dx 4. coth(ln x)

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

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Q: QUESTION 1:-.. a) State the order of the ordinary differential equation and determine whether the…

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Q: (x+a)² 3. Let f (x) where a is a constant and a -1. (Note if a = -1, then f(x) is a line %3D x-1…

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Q: c) Find a homogeneous differential equation whose general solution is given by y = c,x-1 cos 3lnx +…

A: Let's find.

Q: Solve the following problems. 1. A thermometer reading 18°F is brought into a room where the…

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Q: 3x2 dx x3 COS xesinx -5 a) b) dx c) 4x dx esin a X-4 1 /n

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Q: Find the area of the region outside r = 5 + 5 sin 0 , but inside r = 15 sin 0.

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Q: Let f be a function defined for t 2 0. Then the integral L{f(t)} = e-stf(t) dt is said to be the…

A: Given problem:-

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: etermine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: dx S x(1+(lnx))²) 2.

A: This question is related to indefinite integration, we will solve it using given information.

Q: An individual needs a daily supplement of at least 312 units of vitamin C and 170 of vitamin E and…

A: Let, the amount of food I be x ounces.and, the amount of food II be y ounces. as the quantity of…

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 4 4 +…

A: The series is of the form∑n=0∞45nsince 45<1 By geometric test ∑n=0∞45n  converges

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Q: Evaluate the limit sin 3x lim 9x

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Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

A: x=32t-cos tdxdt=32+sin tvertical tangent line:dxdt=032+sin t=0sin t =-32t=2nπ+4π3  and t=2nπ+5π3,…

Q: 3) Determine if the series converges or diverges. If it converges, to 00 2* what does it converge?:…

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