Find rectangular coordinates in exact form

Q: 2. Rate of calorie consumption. The table below shows the number of calories used per minute as a…

A: Given the table Activity  100lb 120lb 150lb 170lb 200lb 220lb walking 2.7 3.2 4 4.6 5.4 5.9…

Q: Find the solution. xy'+ xy = 1 - y, y(1) = 0 A y = x-'(1 – e!-") y = x-2(1 + e'+*) © x=y-'(1 + e'-1)…

A: Given differential equation is xy'+xy = 1-y, y(1) = 0

Q: Find a basis among the vectors [1,1, 3]; [–1,0, 10]; [0, –3, –2]; [–1, –3, –5] (which are surely…

A: Here we are given 4 vectors in ℝ3, which are:1, 1, 3; [-1, 0, 10]; [0, -3, -2] and [-1, -3, -5]To…

Q: Given the function f (x,y) =V(x2-4)(y²-9). Which ONE of the following statements is TRUE? A. If x> -…

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Q: I. What is the use of Fourier Series? II. Why do we take Fourier Transform?

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Q: -dz 3 Q) Le

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Q: If z=x²sinh then %3D дхду O A. (-x3– 3x2y +2xy2 – 32x)/16+x²– 2xy + y2 (16+x2- 2xy +y?) ² O B. (x3–…

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Q: b) Prove the second De Morgan law in by showing that if A and B are sets, then AUB=ANB i) by showing…

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Q: The series representing the integral integralIn (+1) dr is given by OA G a0 3" (n+1)? OB None of the…

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

A: This is a problem of complex analysis.

Q: Find the solution. y' = y - xy3 e-2x A e=x?(y²+c) (A) (в B e2 =x²(y²+c) © e2» =y²(x²+c) e2x…

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Q: Which of the following is the general solution to the differential equation x + (1 +x)y = 6? dx xy =…

A: The solution is given as

Q: Question 1 Consider the following IVP: y"-2y'= -4; y(0) = 0, y'(0) = 4 Find the general solution. A…

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Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A: The graph of the function f(x) is the collection of ordered pair of points (x,y) in the cartesian…

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: 16. a(1) = t i + e'j+ e¯'k, v(0) = k, r(0) = j + k

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Q: Using MOSA find the polynomlals that will approxlmate the solution to: y'= x2 + y; y(1)-1. y1(x). A…

A: y'=x2+y;    y(1)=1 f(x,y)=x2+y;    y0=1

Q: Consider the IVP: x" + x = 4e ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e'+cost –…

A: Given differential equation is x'' + x = 4et ; x(0) = 1, x'(0) = 3

Q: Find the solution. y'-y = -xy1/2 -ху

A: This is Bernoulli type differential equation.

Q: Find the solution. y" - 2y'- 2y = 0

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Q: Suppose that a particle following the path c(t) = (t,t – 5t,0) flies off on a tangent at to = 3.…

A: Given:c(t) = (t2 , t3-5t , 0)

Q: Which of the following is the general solution to the differential equation (x +2y)dx + (x + 2y +…

A: The given differential equation is…

Q: Find the solution. dy 2y dx A y = x(x+c) B y = x²(x-c) -2 y = x?(x+c)? O y = x'(x+c)³

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Q: What is the particular solution to the differential equation x + (1+x)y = 12 with y = 0 and dy = 0…

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Q: For x,y E [0,1], prove that xy(1-x-y)≤1/27

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Q: d²y dy What is the general solution to the differential equation y+ 2 () dx? Adx. y? = 2e* + Ax + B…

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Q: 1 Let a1 = 1, and an+1 = 3 An Determine whether the sequence {an} converges or diverges. If it…

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Q: You want to receive ​$400 at the end of every six months for 5 years. Interest is 11.8% compounded…

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Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: For each of the following relations ~ on sets X, determine whether it is reflexive, symmetric or…

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Q: Find the solution. dy x-+5y =2r?y4 dx (A y = 13 2+cx !5 6 B y = -x+ cr13 15 cy- 13 D y = 23 -2- cx 5

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Q: What is the general solution to the differential equation y - O + = dx? dx In(Ay – 2) = Ax + B y2 =…

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Q: . (a) Show that if a, is a series of nonnegative terms that diverges to o, then any

A: Answer :-

Q: Consider A = (0,4, 2) , B =, (6, –1,0) and C = (3,0, 1). (a) Find the unit vector having the same…

A: given vectors A=0, 4, 2, B=6, -1, 0, C=3, 0, 1

Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

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Q: dy dx ytsinx I+ CoS X

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Q: Let A and B be subsets of a universal set U, show that An B) U (A n B) = A

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Q: max2 =2%+31 -51y Sito XitXz tXg =7 メ2-5Y2+X フe メoxe F (usighe Using M-Eechnifue

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Q: Find the inverse Laplace of the following: (8 1.

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Determine whether the sequence Ve" + 3" converges or diverges. If it converges, find its limit. O 1…

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Q: Determine if the set S is span set of %3D R2x2. Solution:

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Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

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Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 (A -e "cos3t 3 1 B -e -'sin9t 3 3r -e"cost D -e…

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Q: Q2: Use vector to check whether the points A (4,3,2), B (4,3,0), C (4,0,0), and D (4,0,2) are…

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Q: THANKS FOR TUTORING ME) Have you ever been swimming in a pool, and your eyes were red when you get…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…

Q: 2 Mrs. Rogan is a Mathematical teacher -she gives a 60-item test The scores OF e 46,…

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Q: Question 8 Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general…

A: Given is an IVP with initial conditions   To Find:  Solution to given IVP with initial conditions…

Q: You are being asked to find the root of (x-11)*(x-33)*(x-44)*(x- 55)*(x-87) = 0 with x= 1+1.5 and…

A: Let, f(x) = (x-11)*(x-33)*(x-44)*(x-55)*(x-87)  xl = 1 + 1.5 = 2.5 xu = 88 + 1*8 = 96 Then, f(xl) =…

Q: Consider the following IVP: у" + у'%3D -сos x; у(0) %3D а, у'(0) 3b Find the general solution. 1 1…

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Q: - Prove Stokes' Theorem by verifying it for F= [y,z,x] and S the paraboloid. %3D te CEY2=(x, y) = 1…

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