e 4e2 -8e+5 dx

Q: Find the absolute maximum and absolute minimum of the function f(x)=2x^5/2 /5−2x^3/2 /3−1 over the…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1)…

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Q: Find a power series representation for f (t) = ln(10 – t). %3D

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Q: Find the derivative of the function at Pn in the direction of A. f(x.y.z) = xy + yz + zx, Po(2, - 2,…

A: The  derivative of f at the given point is given below.

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

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Q: Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume…

A: See the solution in below

Q: 3. xy' =y-xe/x ANS y =-x

A: To find out the solution of the differential equation.

Q: You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 2…

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Q: (b) 2+ 5y = 2, y(0) = 0 dt

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ –…

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Q: Rationalize the denominator. Vx - 9 6/x

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Q: The area under the graph of f(x) = 3x2 between x = 2 and x = k is 208, where k> 2. Find the value of…

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Q: What are the local extreme values of the function f(x) = x' + 6x² + 2? a. None of these. O b. Local…

A: Use derivative for finding the local maxima and minima

Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0.…

A: For the solution follow the next step.

Q: (1) lim (In ) = z (x1 (j) lim rsin z x→0+ sin 2x + 2 arctan 3x + 3x2 (k) lim x→0 In (1+3x + sin? x)…

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

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Q: Find the absolute maximum and absolute minimum of the function f(x)=3sin(x)cos(x) over the interval…

A: We have to find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x)…

Q: (iv) 15-22 dr. u = (v) S 15 · T/9 – x² dx. 9-z (vi) J +15 da. u=

A: iv) 15x2/sqrt(9-x2) v) 15 pi sqrt(9-x2) vi) 9x/(x2+15).

Q: Assuming that out of 200 documents, 40 documents are relevant. A search engine returns 30 documents,…

A: We have to calculate the recall percentage.

Q: At which of the given numbers, the following power series is divergent? 10" x" n! n=1 O a. None of…

A: Ratio Test : Suppose we have series ∑ an.Define, L =limn→∞ an+1an , then(i)  If L&lt;1, series…

Q: 3. If a = 2 i-3 j+5k and b = -3 i+6k, determine a simplified vector for each of the following in the…

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Q: 2у — 4 dy 2 + 49 с.

A: To evaluate: I=∫2y-4y2y+2dy=-∫4y-2y2y+2dy=-∫22y-2y2y+2dy=-∫2y-12y+22ydy=-1ln 2∫2y-12y+22yln 2dy

Q: Section 3.2 In Exercises 1-3, (a) compute the eigenvalues and the associated eigenvectors; (b) for…

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Q: 00 3n + 2" Determine whether the series converges or diverges. If it converges, find its sum. n=1…

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Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: 9–x² x2

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Q: Consider the vectors a = 4 i+ 8 j-8k, b = 2 i +k and c = 4 j-5k. Are the vectors a and b+c…

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Q: sin(x?) Evaluate lim 1+0- e2r – 2x – 1°

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Q: Using integration determine the Laplace transform of f (t) where f (t) =t when 0 2 %3D

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Q: (vi) S 16-x 2+15 dx. u=

A: The objective of the question is evaluate the indefinite integral.

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: V9 – x² .2 .2

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Q: etermine whether the series E converges or diverges. If it converges, find its sum. m= 2 elect the…

A: Given query is to find series converges or diverges.

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: Calculate the trapezoid approximation of 5dx using four subintervals. O T5 = 0.60 O T5 = 0.40 O T5 =…

A: The trapezoid approximation of the given integral is given below.

Q: (iii) Extremum point(s), (iv) The interval of concavity, (v) Inflection point.

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Q: b) Find the values of a and b so that the unction f(x) = x + ax + b has a local maximum at the point…

A: Given function f(x)=x2+ax+b The local maximum at the point(7, -6) We need to find a and b

Q: Find (x, y, z). (Let P = (7, 7, 0) and the Midpoint = (0, 5, 5).) (х, у, 2) %3 Midpoint (х, у, 2) P

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Q: Find the linearization L(x.y) of the function at each point. f(x,y) = x2 + y2 + 1 а. (3,2) b. (2,2)…

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Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)

Q: What is the exact area bounded by the curve f (x) = = and the x-axis on the interval [1, 8]? Write…

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Q: You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will…

A: We have to find the dimensions of the cylinder.

Q: The polar coordinates of a point are given. Plot the point. (2. ) z/2 R/2 2 1 -1 2 1 R/2 2/2 -1 Find…

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Q: In cos x (1) lim x→0 tan x2

A: Let's find.

Q: sin(x²) 1+0- e2r – 2x – 1° Evaluate lim

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

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) Option 1 Option 2 (0,…

A: Given query is to find the focus of the parabola.

Q: Find the Taylor polynomial of order 3 generated by f at a.   ​f(x)=x2​, a=9

A: Use derivative and taylor polynomial got finding the unknown