Bernoulli Differential Equation: Find the general solution 2 = x³y4 x dy dx y-³ = cx6 + 3²4 2y-3 = 2cx6 +31 2y-3 2y-3 = cx6 + 3x4 Oy-3 2cx6 + 3x4

Q: 2. Evaluate the definite integral|z- 3| dr. (a) (b) (c) (d) 25 2 25 2 29 29

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Q: Solve. |x-8=24 Select the correct choice below and, if necessary, fill in the answer box to complete…

A: option (A)  is correct. see below the calculation

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Q: J x³x²7x + 13 x² - x - 6 -dx

A: Please see the below picture for detailed solution.

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Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

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A: The given curves are; y=6-x-x2 and x-axis or y=0.   Now find the x-intercept of the the curve…

Q: Q5: Solve the equation by Grammars rule: 2x + 3y - 4z = -3x+2y + 3 = 3 . 3x-y-z = 6

A: Calculating determinant of a matrix is the key requirement for this problem.

Q: 6. Find the radius of convergence and the interval of convergence for Σ-0¹ (x - 2)". 7. Find the…

A: See this solution in below.

Q: CHECKPOINT 1.13 Find the average value of f(x) = 6 - 2x over the interval [0, 3] .

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Q: a-limx-4(2)

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Q: Consider the following functions. f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: Q1\A: Find the value of K in the following linear system which is make the solution failure Kx+3y=6…

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

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Q: 5. Iny+ea²²x+y = 10 -

A: Given :According to given , only 5 solvedlny+ex2y2-x+y=10

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Q: Solve the following differential equations |y" + 21y+8x = y" + 5y'+e²x

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Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

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Q: Find the derivative using logarithmic differentiation. r³(2x - 1) (5x + 1)7(x + 1) 14. y=

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Q: Find the equation of the tangent to the curve at the point where x = 1. f(x) = √x 2√x+1

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Q: Compute the double integral ff(6zy2 +12z³y + 4y) dx dy with R= 3,5 z [1,2].

A: See this solution in below.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: A Sequence is said to be convergent if it approaches some limit. A sequence is said to be divergent…

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Q: X f(x) g(x) -2 5 1 -1 2 3 0 4 1 -2 2 -4 -3 -6 -1 f'(x) -4 -2 1 5 -5 g'(x) -1 3 -3 4 2

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: Given that, A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another…

Q: 4. Solve the following DE using a suitable type of transformation. y' = x + y (let v = x + y) O y =…

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Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x -…

A: answer is in next step.

Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: ror(4)). 95. Find the restrictions in the domain, if any, for If there is more than one restriction,…

A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

Q: Let f(x, y) = ln(x + y − 1). Then, ƒ(e, 1) =

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Q: 6. Integral Df ef

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Q: If u = 4j – 2k and v = 2ỉ − j + 7k, find ú.v. Select one: O √110 O-18 O √18 O 18

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Q: Which of the sequences {a} in Exercises 31-100 converge, which diverge? Find the limit of each…

A: For the given sequence, If limit of the sequence at n -> infinity finitely exist, then we'll say…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Using linear approximation at x=a L(x) ≈f(a) + f'(a)(x-a)

Q: In Exercises 101-108, assume that each sequence converges and find its limit. 101. a₁ = 2, an+1 102.…

A: The objective of the question is determine the limit of the given sequence.

Q: : Find area of triangle whose vectors P1(4,2,0), P2(-1,1,1), P3(0,4,3)

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Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

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