Equation d³y dy dx =pln(-5p) + 3e5p dy d5y - In(5y). = 2 cos(5y) -y dx5 dx sinh (3t-e³t)- d^ f dp4 +t6. = ye-5t + 2sin (5t) Order Linear/Non-Linear

Q: May contain loops and it may contain multiple directed edges that start and end at the same…

A: 1) may conatin loops and it may contain multiple directed edges that start and end at the same…

Q: Let ƒ : R → R be a function that is differentiable on (a, ∞), where a is any real onstant. Let g: RR…

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Q: 11) Suppose an>0. Which of the followill

A: This is a question from the series.

Q: Find the characteristic polynomial and the real eigenvalues of the matric A: = B = = 0 -2 1 -3 1 01…

A: Given matrix is A=01-2-3 Let the eigenvalue be λ, then the characteristic polynomial is…

Q: * 15% can be expressed as: O an insignificant minority O a significant majority O approximately…

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Q: If the principal amount borrowed is $100 and the interest for 10 years is $80, the total amount owed…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 2x + 4x + 3x 3y - 2 = 1 Зу - y - 3z 3z = 11 - - 2y + 5z = 2

A: 2x+3y-z=14x+y-3z=113x-2y+5z=21

Q: Show that T(x1, x2, x3) = (3x₁ - 6x3, x2 + x3, x1 - x2 - 2x3) is a linear trans- ormation by finding…

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Q: 1. The circle x² + y² = 36 y revolved about the line = 1. Phat is the Volume garcrated ? 9812 b. 22.…

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Q: The Cauchy-Schwarz inequality states that {f, g)| ≤ ||f|| ||g|| for every f, g € H.

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 4 Given integral is ∫0πsintdt and n=4. We have to estimate the given integral by using the…

Q: The general trend sentence can be written as:

A: From given diagram we have to write the general trend sentence.

Q: Let f: R → R be a function that is differentiable on (a, ∞), where a is any real constant. Let g: R…

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Q: F(x, y, z) = axi + byj + ck for constants a, b, c O O curl F = -yi-zj - xk curl F = 0 curl F=i+j+k

A: Given F(x, y, z) = axi + byj + ck

Q: Solve the following equations by Ferobenius' method: x(x-1)+(3x-1)y'+y=0 x²y"-5xy' +9y=0 Please the…

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Q: Suppose you are to perform the Newton Raphson method with starting points: ( 20 = 2.0, y = 0.25) on…

A: Newton Raphson method [xn+1yn+1]=[xnyn]-[∂f1∂x∂f1∂y∂f2∂x∂f2∂y]-1×f([xnyn]) here we have…

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X None of…

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Q: L 8(t) 1 s-8 O 4 O 1 ㅇ Non of list =

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Q: to the intersection of planes 3x +2y-4z = 12, 2x-By+z= 0 and passes through P(2, -5, 8)

A: given planes 3x+2y-4z=122x-8y+z=0

Q: Find the Maclaurin series of O Σ(x)3n n=0 3 1+x 3 Σ(-1)*(x)" n=0 3 Σω n=0 Write your answer in sigma…

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Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: Given integral is ∫0a∫y-1y+1(x+y)dxdy

Q: * 15% can be expressed as: O an insignificant minority O a significant majority O O a small minority…

A: We know that Greater than 50% is significant majority 75% is approximately three quarters Less than…

Q: Consider the following. -9x, x ≤ 4 f(x) = {x² - 4x +7, x>4 Find the x-value at which fis not…

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Q: cos √x+1 O Σ n=2 (-1)"x²" (2n)! n+1 x² Σ nal

A: I have given the answer in the next step. Hope you understand that

Q: Oxchill, a burger chain, allows its customers to order their burgers with or without the following…

A: Total type of burgers : simple(simple), honey mustard sauce, mayo, lettuce, pickle, bacon  and extra…

Q: find the divergence of F at the given point. F(x, y, z) = ei + ej+ek at (3,2,0) div F = 0 div…

A: Given F(x, y, z) = e-xyi + exzj + eyzk

Q: Consider the function f: [-1, √10] → R defined by r², x>2; I≤ 2. f(x) 10 00 6 + 2 0 f(x) = 2 3 4…

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Q: p⇒ (q^r) -q/ -p

A: This is a question of Logic.

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: here we can use formula of compound interest.

Q: What is the volume of the rotator formed by the function y = 2-x ^ (2) and rotating the region…

A: Let us consider the curve y=f(x) The volume of the solid of revolution about x-axis is obtained by…

Q: 1. p - q ←b -۳ d-::` / ¹-

A: Given :Argument is   p=> q.......(1) q=> r........(2) ⌐r.......(3) ∴⌐p To find :Solve the…

Q: What is the volume of the body of rotation formed by rotating the region bounded by the function y =…

A: Let us consider the given curve y=f(x) The volume of the solid of revolution about x-axis is…

Q: 12) The Maclaurin series for r5 cos(x³) (-1)"x6n+5 (2n)! ση+5 (2η)! (A) Σ n=0 (B) Σ n=0 (c) 2 (-1)"…

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Q: مممممم م العمل لها -Pre-Hilbert space - Metric space and Complete - Normed space and complet

A: 1) the banach space is solution definition of Banach space A Banach space is a normed linear space…

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A: Given that Population mean (µ) = 4.8 Sec Standard deviation (σ) = 0.34 Sec Bread Sense heritability…

Q: Let m be a positive integer. Show that a mod m = b mod m if a ≡ b (mod m)

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Q: A bacteria culture starts with 20000 bacteria, and the number doubles every 50 minutes. a. Find a…

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Q: The sum of the geometric series Σ=o 4n+1 52-2 is 100 O 500 O 200 O 400 O None of them O

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Q: Normed space. -Metric Space h space i - Pre-Hilbert space - Metric space and Complete - Normed space…

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Q: 2. p → (q^r) -q/:: -p

A: Given : Argument is           p=> (q Λ r).......(1)          ⌐q........(2)           ∴⌐p To find…

Q: 5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the…

A: Given that water running out of a conical funnel at the rate=1000 cu mm/sec=1 cm3/sec Base radius of…

Q: Given:  g(x) = (3-x^2)^4  Construct a table of signs for g ' and g ''. Identify the intervals where…

A: Given function is gx = 3-x24 First derivative of g(x):- g'x =4 3-x23-2xg'x =-8 x 3-x23   Second…

Q: use Eulers method to approximate the solutions for The following initial-value problems :- y = 1+…

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Q: Let a, b, and e be integers, where a # 0. Then (i) if alb and alc, then al(b + c); (ii) if alb, then…

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Q: Proof that the following given propositions. 1. (pr) ^ (q + r) = (p v q) → r. 2. (p →q) v (pr) = p +…

A: Since you have posted a multi subparts question according to guildlines I will solve first three…

Q: 1. p q <b d-::: /-

A: To Prove-  p → qq → r¬r / ∴ ¬p     Rules of Inference Used-  Modus Tollens: ¬qp→q∴¬p Hypothetical…

Q: Clearly indicate the necessary steps,including appropriate formula…

A: Given: 100 students speak English, 50 speak Japanese, 100 speak Spanish, 45 speak English and…

Q: ry+z S² S²₂ $2,²² x x+yz dxdydz

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Q: Solve: y² + 4y = x² + ex Yc=C1+C2_ Type the letter corresponding to your answer. Yp = A + Bx + Cx² +…

A: y''+4y=x2+e-x

Q: ▼ 3.1. Use Cauchy-Riemann equations to prove that ƒ(z) = z² is differentiable at z = zo E C.

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