Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

Q: In evaluating 4 S²- 2dx -, is same as evaluating lim cos-¹(f(x))|4. Determine the value of of f(x)…

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Q: en differential equation by undetermined coef y = x²ex + + 3

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Q: Solve the given differential equation by undetermined coefficients. y" - y' - 30y = e6x y(x) =

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Q: Test the series for convergence or divergence. 7 In 2 Select the correct answer. O the series is…

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Q: f _____________, then the graph of the polynomial function is symmetric about the origin. A.f(x) =…

A: Note that, a function that is symmetrical with respect to the origin  is called an odd function.

Q: n=1 5 4(--)"-2. 3

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Q: Use the properties of infinite series to evaluate the following series. k 20*30*] Σ + 6 4 5 6 k=1

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Q: Is the following statement true or flase? Select one: True False 5 [ 2 (xy) dydx = chỉ xdx xdy) 0 0

A: To check whether the statement is true or not. Given information; The statement is ∫05∫02xydy…

Q: Recently, a certain bank offered a 10-year CD that earns 2.16% compounded continuously. Use the…

A: We have to find gross amount

Q: x) = || xy" - 9y¹ = x⁹ , x > 0

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Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: Let V₁, V₂, and v3 be vectors in a vector space V, and let T:V R³ be a linear transformation for…

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Q: Find the total mass of two turns of a spring with density p in the shape of the circular helix…

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Q: = 0, y = x, and x = 5. n, the region D expressed as type I is: = {(x, y)|0 ≤ y ≤ x,0 ≤ x ≤ 5} ect…

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Q: Determine whether yp₂(x) = x is a particular solution of the following DE or not. y" + 4y = 4x.

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Q: 1. Find the gradient of the function f(x, y) = x² sin y.

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Q: State the equation of f(x) if D = {x = R | x = }} and the y-intercept is (0,2). x + 1 a) f(x) = 3x+2…

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

Q: Suppose (1, -1) is a critical point of a function f with the continuous second derivatives. If fxx…

A: As we know from the double differentiability test, When rt-s2>0 and r>0 then minima will…

Q: Find the volume of the region bounded by y = √x and y = x rotated about x = -4.

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Q: The area of the region {(x,y) ER² | -2≤x≤9, -3≤ y ≤ 4} is not equal to the double integral dxdy.…

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Q: Given than [ f(x) dx = 4 and the following is NOT TRUE A B C [ f(x) dx = 8, which of [2f (a) dx = 24…

A: We know, ∫abf(x)dx=-∫baf(x)dx

Q: Question ( correct for the series 3): Which of the following is n=1 Select one: O equals. O equals…

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Q: Let f(x, y) = 2x² + 3y2, then (2, 3) is not a critical point of f(x, y). Select one: True False

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Q: Use implicit differentiation to find y', and then evaluate y' for x²y - 3x³ + 8 = 0 at the point…

A: We have to find out derivative

Q: Obtain an exponential function in the form f(t) = Aet. HINT [See Example 5.] f(t) is the value after…

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Q: If you evaluate the integral expression 2x+1|dx the -2 result is Blank 1 (use fraction or decimal in…

A: To find out the definite integral.

Q: the critical points, local e(s) and sat f(x, y) = 6x+4y+x² + y². Then find the maximum rate of…

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Q: The demand x is the number of items that can be sold at a price of $p. For x = p2² - 4p +600, find…

A: We can solve as follows

Q: A coat of paint of thickness 0.5 mm is applied evenly to the surface of a sphere a radius 20 cm.…

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Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: Classify the following diferential equations. Write the order, linearity and the homogeneity of the…

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Q: a) Determine if the geometric series 8-1 gn+1 Σ n= is convergent or not, and find its sum if it is…

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Q: 3. Divergent or convergent sequences. For each of the sequences below, enter either di- verges if…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Find f'(x). f(x)= ex+ 5x 3 Inx f'(x) =

A: We have to find the derivative.

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 128 64 2 32

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Q: etermine whether the work done along the path C is positive, negative, or zero. O positive O…

A: To find the work done along the path c.

Q: Lect one: True False

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Q: The value of the integral Select one: a. 403 84 b. 127 21 c. 127 28 [² [²x³2 d. 83 21 e. None of…

A: The objective of the question is evaluate the double definite integral and choose the correct…

Q: An oil tanker aground on a reef is forming a circular oil slick about 0.2 foot thick. To estimate…

A: Given,  Figure :

Q: 1) (. B enclosed by the curves Find the exact area of the region y=x² and y=x+ 20. Write your answer…

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Q: Question 5 (a) Find an equation of the curve that passes through the point (0, -2) and whose slope…

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Q: Given the triangle not drawn to scale A = 16/ A 25 13 , find the measure of angle A using the Law of…

A: We can find the angle A using cosine rule as below.

Q: Test the series for convergence or divergence. Select the correct answer. The series is convergent…

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Q: The integral ſº, ſº₁ x – y dædy is equal to: Select one: 0 O2 O 4 O None of them O-2

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [e³ 34x dx =…

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Q: Use the properties of infinite series to evaluate the following series. 3. 5" Σ n=0

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Q: Evaluate: lim- A. 1 B. e C. 0 D. DNE E. ∞ →2+ [(x² − 4) (-2)]

A: We know, ln(ab)=b*ln(a)

Q: 2 4 23 4 4 f²f3x³y²dxdy = f²y³ dy fx¹dx Select one: True O False

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Q: 2x, y 3 and 0. Sketch the region R and evaluate the double Let R be the region bounded by y X =…

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Q: . The differential equation dy=2x(4-y) 1. produces a slope field with horizontal tangents at y = 4…

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