Solve using Exact equations: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) * d * y = 0

Q: e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(...

A: Differentiation 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: We need to find parametric and symmetric equation.

Q: 1. Given the equation y = (elnx) What is y? Inx 2elnx 2x (2lnx)/x None of the choices

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Q: 13.Exact equations: Solve: (2r3 + 3y) dx + (3x + y – 1) dy = 0 O x* + 6xy + y² – 2y = c O r?y² + y* ...

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Q: Q2: Find the solution of the following Differential Equations d²y +6. dx2 dx dy + 12y = 0 3.

A: This is homogenous differential equation, solve it by using auxiliary equation. 

Q: Let y 522 + 2x + 3. If Aæ = 0.4 at x = 3, use linear approximation to estimate Ay Ay =

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Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: 5. Find the area of the region contained inside the unit circle {x² +y? = 1} and outside the rose de...

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Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n = 1 n8"

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Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + 3y², Po(4, - 2), A...

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Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: satisfying

A: We will obtain the particular solution. 

Q: Use vectors to find the lengths of the diagonals of the parallelogran that has i +j and i – 2j as ad...

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Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation! %...

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Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: Determine where the function is concave upward. ​   ​f(x)x^4-2x^3+7x+5

A: Given: - The function is, f(x)=x4-2x3+7x+5 To determine: - The concave upward of the given function.

Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

A: The given data is: l=1 mw= 2mh= 2m And, dldt=-2m/sdwdt=-2m/sdhdt=3m/s  To find the rate at which the...

Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

A: Find your answer below 

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: -2 sin x where y () = 7 dx O y = 2 cos x + C O y = -2 cos x + C

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Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: Determine whether the sequence an arctan(6n20) converges or diverges. If it converges, find the limi...

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Q: A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material fo...

A: Find out the dimensions that will minimize the production cost.  

Q: 2. (a). Use linear approximation to estimate V143. (b). Compute the percent error in your approximat...

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: Let g (x) = tan 1x + tan (1/x). Show that g (x) = k, a constant, for any x in the domain. Find the v...

A: Given problem:- Let g(x) = tan-1x + tan-1(1/x). Show that g(x)=k, a constant, for any x in the domai...

Q: s3 + 3s2 – 12s + 4 e) lim s-2 s3 - 4s x- V3x + 4 f) lim x4 4 - x x² + 4 – 2 g) lim

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Q: 2 Part 2. Free-response Questions- Show all your work for each of the problems. (1) Find the exact v...

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Q: 38. At what value of x should the function f(x) = In(x – 4) approach to so that f(x) will be as smal...

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Q: r = sec(20)tan(28)

A: To find the derivative of the function.

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radi...

A: The objectives to find the angle between the vectors in radians and degrees.

Q: X -5 -4 -3 -2 -1 2 -1 2.

A: Graph

Q: Find the arclength of y 3x + 4 on 0 < x < 1

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Q: Part D lim,→0 k (x), if k (x) =

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Q: (s + 1)3 s6

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Q: Which of the following functions are solutions of the differential equation y" + 16y = 64x? KE sin(4...

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Q: dx x2 | C 2 sin-Vx+C sin-Vx + C -2 sin-1Vx+ C sin-1x + C 2 - O A E None of the Above 12

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Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: A learn.hawkeslearning.com/Portal/Lesson/lesson_certify rks DSHUN EDWARDS <- Save & Exit Certify Les...

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Q: The length l, width w, and height h of a box change with time. At a certain instant the dimentions a...

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Q: 15. f(x) = for every x E (-4,3] x+4 16. f(x) = sin (2) in the interval x 2-2 3 17. f(x) = { 2 - x2 i...

A: As per our guide lines we are advised to solve only first question. Please kindly upload other quest...

Q: 16. Find the area of the shaded region. Leave your answer in terms of pi. 50'

A: The solution is given in the next step.

Q: Evaluate the following indefinite integral (sin z)(tan z) dr. cos I

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Q: Q3: Solve the following first order differential equations Use any method: 3. y cos(x)dx + 3sin(x)dy...

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If z is parallel to a vector u then u =lemda z