What is the general solution to the differential equation 2ydx = (x² – 1)(dx - dy) ? y) = x – 2 In(x+1) + C yE) = y – 2 In(x² – 1) + C

Q: Review your line integral skills: Consider a wire in the shape of a helix r(t)=7costi+7sintj+4

A: Given,            r(t)=7cost i^+7sint j^+4t k^, 0≤t≤2π and the density function is               ρ(x...

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A: Here we can use the fact that a function defined in an interval (a, b) with value f(t) can be writte...

Q: 6) What are the real and imaginary parts of (1+i)exp(-it/4)/v/2? 7) What are the real and imaginary ...

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Q: 2 2 If C is the part of the circle E) + ) = 1 in the first quadrant, find the following line integra...

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Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

A: Introduction: Like an infinite sequence, an infinite series is also convergent or divergent. The sum...

Q: Determine which property of determinants the equation illustrates. |2 3. 2 3 0 -1 O f one row of a m...

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Q: Determine whether the series is Conve gent or divergent. Ifit is Conve its Sum, Can) CoS If an=lo00,...

A: This is a problem of sequence and series.

Q: Situation 1. Consider a box that contains 14 red balls, 12 blue balls, and 9 yellow balls. A ball is...

A: We have to analyse the two situations then need to be solve.

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A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of...

Q: Which of the following is correct? A. O log n EO(Vn) B. O vn EO(log n) C. O log n €O(Vn) D. O log n ...

A: We know the expansion of log (1+n)  We replace the n in the expansion by (n-1). And we get the expan...

Q: Which of the following is the general solution to the differential equation t dy 6te2t + y(2t – 1) ?...

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Q: Question 1 Find the product of 34 and 27 using the following methods. Illustrate/write your complete...

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Q: 6. Determine whether the following linear transformations are one-to-one. Are they onto? Justify you...

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Q: dy 1. Let c be a constant and consider the differential equation = x² + cxy + y². What is the dx com...

A: We will use the basic knowledge of ordinary differential calculus to answer this question properly, ...

Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

A: Given equation of Parabola x2-6x-5y=-34 To find the focus and directrix:  

Q: 1. The formula for a lincar transformation T is given below. Determine if the transfor- mation is on...

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Q: 2 Find an orthogonal basis for the space spanned by 4 and -1

A: This is the problem of vector space.

Q: Example: Solve the following integral equation $(x)=x+a[ (x cos 5 + 5° sin x + cos x sin5) $(5) dž

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Q: A civil servant spent 2/7 of his monthly salary on cloths,7/20 of the remainder I n feeding and save...

A: Introduction: Fractions are widely used in arithmetic. Suppose, a total quantity of an object is n. ...

Q: Find the simple interest on a loan of 12,500 that is borrowed at 9% for 7 months.How much would it c...

A: This question related to simple interest and solution is given below.

Q: Suppose that f(x, y) = e¯4z² - ly + 7z + 2y then find the discriminant of f.

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Q: 3.4 plz provide clear neat and handwritten answer for 3.4

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. Une plece is usel f...

A: Given A piece of string whose length is 32 (group 4) is cut in to two pieces. one piece is used to f...

Q: Sketch the level curves of f(x, y) = ye^x

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Q: (10) (2 1 1) %3D If A = 3 2 3, find A-1 by Gauss-Jordan method.

A: To find- If A = 211323149, find A-1 by Gauss-Jordan method.

Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: 6.2 ( ) True or False: If A and B are n x n matrices so that det(A) = det(B), then A and B are cousi...

A: If A and B are n×n matrix so that det(A)=det(B) then A and B are cousins The statement is false The ...

Q: Find the critical points and solve the related phase plane equation for the 2 x 2 autonomous system ...

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Q: Let F (9xy, 3y, 6z). The curl of F =( Is there a function f such that F V f? (y/n)

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 4 – y and x + y = 2 abou...

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Q: 21. The complementary solution, Ye, of the equation y" + 2y" + y' = 10 is (a) Yc = C1e-* + c2e» + C...

A: Given differential equation is y''' + 2y'' + y' = 10

Q: Approximation Theory Q1\ Answer true or false 1) A normed space is a non-empty set with norm. 4) The...

A: According to our guidelines we can answer only three sub-parts and rest can be reposted. 

Q: Find the minimum cost of a rectangular box of volume 100 cm whose top and bottom cost 6 cents per cm...

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Q: 1. The formula for a lincar transformation T is given below. Determine if the transfor- mation is on...

A: Solution:-

Q: Flip opened a credit card account. During the first month he purchased new cloths that totaled $1,53...

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Q: Use the result of the Example above to compute Al0 (for A the matrix from the Example). Hint: consid...

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Q: Q7. Find f(3) for x 0 1 2 4 5 6 f 1 5 6 19 14 15 a) By Newton's divided difference formula b) By Lag...

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Q: Prove that if (V1,V2, V3} is linearly independent, then so too is the set (u,u2, u3} where u, vı- V2...

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Q: 2 Find the equation of the line L passing through P(1,1,1), intersecting the line +t0 and perpendicu...

A: We have to find the equation of line which passing through P(1,1,1), intersecting the line x=1+2t, y...

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Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: 1. Solve the initial value problem for the linear system of first-order ODES for x(t) and y(t): x' +...

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Q: 6. Which of the following is the negation of “All kids like to play with slime.”? a. No kids like t...

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Q: please answer all subparts bcz I can't put only three .. please understand ..thnx in advance Use pri...

A: Solution

Q: Find the three cube roots of the following complex number: (3 – 4i) O (-0.364 + 1.67i ), (-1.26 - 1....

A: We find the three cube roots of the given complex number (3-4i)

Q: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 42° +...

A: The complete solution is in given below  

Q: Answer in complete solution this Differential Equation: (4D8-16D7+79D6-284D5+448D4-1224D3+531D2+324...

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Q: A company produces a special new type of TV. The company has fixed costs of $488,000, and it costs $...

A: Given, a company produces a special new type of TV. The company has fixed costs of $488000, and it c...

Q: Suppose that a b C d f = 2. e h i Compute 3g — а Зh — ь зі — с 2c + f C - 2a + d 2b + e a b C

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Q: 3 b. X and Y are two events, P(Y)==, P(X|Y)=, and PYoX 10 %3D %3D Find P(XnY) and P(X).

A: Given P(Y) = 35, P(X/Y) = 23     and   PY ∩ X = 310