29. Solve (x3 + y³)dy+ x²y dx = 0. %3|

Q: y' + y" = siny O 1st order, 4th degree 2nd order, 1st degree O 4th order, 4th degree O None of the…

A: Given problem :- y''+y''''=siny  To find:-  order and degree of given differential equation

Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) is V1-x2 antiderivative of F(x) =

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Q: Find the solution of the initial value problem y" + 2y' + 5y = 24e cos(2t), y(0) = 8, y'(0) = 0.…

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Q: 1. f(x) = Find a). domain of f, b). f'(x) and the critical numbers, c). the absolute maximum and…

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Q: Determine the equation of the line that is tangent to y = elan (2x) at x = 8

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Q: 6. Find the interval of convergence for the series E - (x+4)" n-2" n=1

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Q: Late dx sec2 x (b) [*. dx /1 – tan² x VT(x+4) |

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Q: dy xev-x*); y(0) = 0 %3D dx

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Q: cos a eT dx ¤ dx Csc x

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Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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Q: (-1,5,0),(0,1.5)| x Find the interval(s) of decrease. Find the inflection points of the function.…

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Q: y(x) =x' (2x – r²)

A: solution

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A: Find equation of line and put parametric value of (x,y,z) in plane and solve for x,y and z.

Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

Q: tan (2x)dx, (Use 2 decimal Let x 0.49 and y = 1.9. Determine the value of C when you evaluate digit)

A: This question can be solved using the concept of ILATE.

Q: The integral of the given function f- (9- dr Arcsin +C b.+ Arcsin + C c. -- Arcsin +c d. None of the…

A: To find the value of a given integral we use the substitution method

Q: _1. Which is the process of using implicit differentiation? A. Derive with respect to x, derive with…

A: Given: Which is the process of using implicit differentiation?

Q: The integral of the given function Si is - +c m +c c.Arctan+i +C a.Arctan 16 +4) b.Arctan + 16 +4)…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Employ trapezoidal rule to approximate value of the integral f() dx using the table given below. x|…

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Q: Please

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Q: II. Find the first derivative of the given function. tan 2x 6. у %3 1-cot 2x

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Q: 5* = e*+4 %3D Round your answer to two decimal places. i

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Q: 4. Integrate 4 secxtan x+ 1 cosex?x+ 4x dx . Jx 3

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form…

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Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

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Q: , when the temperature of the air is 290 Kelvin, a certain substance cools from 370 Kelvin to 330 K…

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Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

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Q: f(x) =x' - 4x² +6x+5 is 1. Find the intervals in which the function increasing/decreasing. Also,…

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Q: Find the general solution of the differential equation y" + (wo)°y = cos(wt), w² + (wo)". NOTE: Use…

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Q: Without a calculator or computer, match the functions e, In x, x, and x to their graphs in the…

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Q: 1 7. y = \x sin x,

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Q: dy y(ln y – In x +1) dx 1 C = -In None of the choices Option 1 1 C = -In C = -In- -ln Ontion3 Ontion…

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Q: dx 3+x4

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: n(-5)" converges or diverges. n! Use the ratio test to determine whether n=16 (a) Find the ratio of…

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Q: 2. Verify that the given function u=e* sin y is harmonic and then find a harmonic conjugate of u.…

A: For function to be harmonic, del^2(U) = 0.

Q: dy = 9 +y osx dx

A: Given

Q: Consider a differentiable function f(x) :[-, →R such that f' (x) = 32? – 3 and f(0) = 1. Which one…

A: We need to choose correct option.

Q: Please show complete solution in a PAPER

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 35, ||v|| = 45, and the angle…

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Q: 3.S(1 + e2x)5e2x dx

A: Note: As per the company policy we are supposed to solve only one question, so kindly repost…

Q: 2, 0 4 Evaluate a. lim f(x) X-4 b. lim f(x)

A: Given:        fx=x, x≤02, 0<x≤14-x2 , 1<x≤4-x+5, x>4

Q: Let f(x) = /20 – x. Compute f'(4) using the limit definition f'(4) - - Find an equation of the…

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Q: 10. A ladder 20 feet long leans against a building. If the bottom of the ladder slides away from the…

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Q: Find the intervals in which the function f(x)=2x* +8x -5 is concave up/concave down. Also, find the…

A: Given a function of x.

Q: Given that f(2) = 6, f‘(2) = − 1/2 and f‘’(2) = 10, what is the most accurate Taylor polynomial…

A: f(x) =f0(2)0!(x-2)0+f1(2)1!(x-2)1        + f2(2)2!(x-2)2f(x) =f(2)+f1(2)(x-2) + f2(2)2(x-2)2

Q: - F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (= termine the value of f(x)+…

A: We will find the value of the function.