4n+3 Зп+ 2 {a,} = Зп — 4

Q: Use the substitution u = 4x2 +1 to convert the integral fo ret+1 dx to an integral of the form Sº…

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Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: Let f(x) = x - 25. The arc length of the graph of f(x) over the interval [6, 10] is given by the…

A: Topic = Integration

Q: 9. Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The area of…

A: Oil spreads in circle on surface of ocean. Area of circle is A=πr2.…

Q: dz dz and ду IV. Suppose z is a function of x and y, and tan Vy? + x² = z"e©y. Solve for

A: We have to Solve as per given conditions.

Q: In what instance does the Chain Rule of differentiation applicable? Explain briefly.

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Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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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: need to find nth term, question is: Find a formula for the nth term of the sequence -1, 8, -27,…

A: Given query is to find nth term

Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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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: 2. Suppose a wire three feet log is to be cut into two pieces, with each piece to be formed into a…

A: 2) as per our norms we have to write one question at a time kindly repost remaining questions.

Q: 4 Y= 5/(sin3x +cos3x)

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Q: FInd the x-intercept of the plane 2x+5y+z=10

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Q: e 2xVex + 1dx

A: Solving the problem by finding the value of the integration.

Q: Evaluate the double integral over the given region. |6x sin xy dA, R. 0 SxsA, 0sys1 R. O A. 6x 兀 OB.…

A: We will evaluate the double integral.

Q: The series 1 + Vn? 1+ Vna 00 n=1 is convergent if and only if: Select one: 72 a > Ob. 35 a * 35 4 O…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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

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: Consider the function f(x) =2x + 6x? on the interval [1, 3]. Let K ER be such that K = max |f"(x)|.…

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Q: dy dx Jo 17 /289-: Change the Cartesian integral dy dx into an equivalent polar integral. Then…

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

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

Q: Vhich of the following are possible f '(x) for a function f(x) that is decreasing for every x > 5?…

A: We are asked to find which is decreasing

Q: dy + 7z = 5 5 – 72

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: Evauate: |(*+xy) dx+ Cy- xy)dy; C: the x-axis from the origin to 2,0) and then line x-2 from (2,07…

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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(x²) 1+0- e2r – 2x – 1° Evaluate lim |

A: The objective of the question is evaluate the limit.

Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at æo (In 2 =…

A: linear approximation of function fx=cosxlnx+2, at point x0=0

Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

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: A. Assimilation (Time Frame: Since we already presented S sin x dx and ſcos x dx, we can now do the…

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

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Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: The power series representation of 1 f (x) = 5x + 4 is: 5 25 125 x+... 256 | - 4 16 64 125 x+... 256…

A: In this question we have to find series form of the function.

Q: Use the transformation u = 4x + 3y, v = x + 3y to evaluate the given integral for the 4 4 region R…

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Q: Evaluate the integral using the appropriate substitution. You must use a substitution for this…

A: Given query is to find the integral.

Q: x3 + x² + 2x + 1 dx J (x² + 1)(x² + 2)

A: ∫x3+x2+2x+1(x2+1)(x2+2)dxPerform partial fraction decomposition=∫1x2+2+xx2+1dxApply…

Q: 24 – 49 dy 2+ 49

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Q: In cos x (1) lim x→0 tan x2

A: Let's find.

Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

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Q: Given : v = (3t – x)e-2t Find atəx

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Q: Maximize f(x, y) = xy Constraint: x + 9y = 18 kimum of f(x, y) = at (x, y) =

A: Given