Use Y=sin) and reductiori of order to find the generale soletion to the homogeneous differenticl equation: x>O -×h+ト-ト×

Q: (2) y(x2 + y2 – 1)dx + x(x² + y² + 1)dy = 0

A: Dear Student According to Bartley by guidelines we can answer only one question at a time. Please up...

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Q: . Let an = sin sin for n eN = {1, 2, 3,...}. n+1 (a) Determine if the sequence {an}n=1 converges or ...

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Q: 1- Solve the set of simultaneous equations below: a- 2x-4y=-24 9x-3y=-3 b- 2x+3y=27 6x+9y=81

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Q: Let f be a bounded function on [a, b] and let P be a partition of [a, b]. Let M; and m; have their u...

A: We will be solving Q. 37 as mentioned. Since you have posted a question with multiple subparts, we w...

Q: Let x, y ∈ Z. Prove that x − y is even if and only x and y are of the same parity.

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Q: paper 2 4. INDICES AND SURDS 2012 J Q2 (b) Solve the equation 363y-5 63y 62y-1 216 y+6

A: Solution:-

Q: +o dx So J10 x

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Q: Solve: (cos x) · (dy/dx) + y sin x = 2x cos2 x, y(Tt/4) = (-15/2-n2)/32.

A: The given differential equation can be written as :            dydx +ytanx = 2xcosx So, the integrat...

Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

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Q: Q3. For A= [56, 66, 72, 19, 54, 23, 23, 21, 65, 88] B= [30, 93, 21, 31, 36, 29, 56, 48, 33, 59] Plea...

A: Given  A=[56,66,72,19,54,23,23,21,65,88] B=[30,93,21,31,36,29,56,48,33,59]

Q: Problem 4. Show that if A is any nxn matrix, then the following hold. (i) A+ A" is symmetric. (ii) A...

A: (5) First we have to show that  if A is an n×n matrix, then A=S+K where S is symmetric and K is skew...

Q: 5. Consider the following elements of A (1,2, 3,4, 5, 6, 7), (1,2, 3, 6, 5, 4, 7) (3,7,8). (2,5, 4)(...

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Q: Find the specific solution to the following 2nd order non- homogeneous differential equations b) d²y...

A: Given d2ydx2 + y = sin(x)

Q: 1. Use a FULL truth table to determine whether the given argument form is valid or invalid. Write a ...

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Q: y "(t) – y(t) = 4 cos(t); y(0) = 0, y'(0) = 1 Answer: y(t) = 2 cosh(t) + sinh(t) – 2 cos(t)

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Q: A19.1 Solve the following system of linear equations using Gaussian elimination with partial pivotin...

A: We have to solve the system of linear equations using Gaussian elimination with partial pivoting.  X...

Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

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Q: 3-23. Determine the unstretched length of spring AC if a force P 80 1lb causes the angle e 60° for e...

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Q: Let S be the transformation whose matrix is A, and let T be the transformation whose matrix is B, wh...

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Q: A V log C5+zi)

A: According to the guidelines  I am answering only first question.

Q: Solve the initial value problem dy/dx =x -y, y(0) = 1 to find y (04) by Adam's method. Starting solu...

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Q: What is the median of the box plot below? 468 10 12 14 16 18 20 22

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Q: 1. Suppose T : R² → R³ is a linear transformation defined by " (E) - T T 9 -3 Find the matrix of T w...

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Q: Question 3) Using Reimann sum, find the area under the graph of the function f(x) = 1– x? Take the i...

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Q: If the extremal of a functional J(y) is given by y(x) = A sin(x) – 1 and the associated Lagrangian s...

A: Solution:-

Q: Complete the table when y=2(1.2)*

A: Given,          y=2(1.2)x

Q: Find the inverse laplace transform of: 25 + 26 V(s)= s(s°+ 4s + 13)

A: The given problem is to find the inverse Laplace transform of the given function, We have to split t...

Q: A closed rectangular box to contain 16 ft³ is to be made o three kinds of materials. The cost of the...

A: This is the problem of multivariable calculus.

Q: The following table shows the amount spent by four U.S. airines to fly one available seat 1 mile in ...

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Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = 3r2 +y? an...

A: Relation between cartesian and vector form  x = ρ sin φ cos θ , y = ρ sin φ sin θ  , z = ρ cos φ  Wh...

Q: Peter is 1/3 as old as his brother and 3 years younger than his sister, The sum of their ages is 38 ...

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Q: 4 -1 20 2. Let u1 U2 and y = 3 Из -10 3 -2 -4 Let W = span{u1,u2, U3} (i) Find the orthogonal projec...

A: Given: W=spanu1, u2, u3, where u1=1023, u2=320-1, u3=0-13-2 and y=420-10-4. To find: (i) Orthogonal ...

Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an n→∞

A: Given a1 = 5  and  an+1 = 5an

Q: Question 27 Convert AA40F16 to X2. O 101010100100111100011111 O 101010100100111100001111 10101010010...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = x² + y...

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Q: (c) If lim |an+1| = 1 then then > Jan| is convergent. |anl n=1 00 (d) >lan| converges then > ang con...

A:  Your question is to decide given statements are true of false and for the true statement we just ne...

Q: Determine whether the definite integral converges or diverges and evaluate it if it's convergent imp...

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Q: A little boy makes a triarngular toy bin for his stuffed animals in an inside corner of his room. Th...

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Q: Question 40 Evaluate (~ (~p A q) ~ (p V ~ q)) →~(~p ~q). O TTFT O TTTF O FFTT Tautology O TTFF ontra...

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Q: (c). A forest with 5 vertices and 4 edges. (d). A binary tree to represent expression + d) · (e + (f...

A: In graph theory, a tree is an undirected, connected and acyclic graph. In other words, a connected g...

Q: p: We will not be able to pass q: Tomorrow is the deadline of our project in Math. r:I will come hom...

A: We can solve this by using given information

Q: Question 2. Is the matrix P orthogonal, where (V3/2 0 -1/2) | a) P = -1 YES NO o V3/2, 1 :) 2. b) P ...

A: As a matrix P is orthogonal if and only if PPT = I = PTP

Q: In some situations, we would like to differentiate a function more than once. We call this higher-or...

A: As per the instruction, we will be answering the first question. If you need an answer to others the...

Q: 7 6. Let D be the cone-shaped region shown. Evaluate: z dV 3. 4. 4 -3.

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Q: What technique should you use to solve the ODE that arises from the Euler's equation associated with...

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Q: Is the series divergent or convergent? Prove using direct comparison test. a + 2 ava + va[ sin a | a...

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Q: Give

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Q: 3. Consider the linear transformations T : R² → R² and S: R? → R² defined by 7 (E)-E :(E)-L] [2x2 X2...

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