13. x = 1 + (y - 2)², x = 2

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A: We need to use improved Euler's method to approximate the solution for the differential equation:…

Q: please

A: We solve by eigenvalues and eigenvectors method.

Q: Use linear approximation to estimate √4.01+(4.01)2 correct to four decimal places.

A: We need to use the linear approximation to approximate the value of 4.01+4.012.

Q: Let A = {0, 1, 2, 3, 7, 5). What is the cardinality of the set below? {x|x € P(A) and |x| = 3}

A: Cardinality of a Set: The cardinality of set A is the measure of number of elements in the set A.…

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Q: What is the graph of r(t)=2 costi + sintj?

A: Vector-valued function : It is a function of the form  r(t)=f(t)i⏜+g(t)j⏜ or…

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Q: 4. (-3x+2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: The solution is given in the next step.

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Q: The non-exact differential (x² + y²)dx + (3xy² + 2xy + x³)dy = 0 can be reduced to exact after…

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Q: Evaluate: S ○ (2-√2) T 8 O (2-√2) T 4 O (√2-2) T 4 O (√2-2) T 8 16 sin √²+y² dady -y² sin [x² + y²

A: Option (B) is correct option.

Q: 18. Which of these is a conservative vector field given that all fields are open and…

A: Note: We solve only first three sub-parts since it is not mentioned which parts are to be solved.…

Q: Question 19. Indicate whether the following sentence is an example of parallelism or faulty…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: Draw the Taxi-metric hyperboloid |x| + |y| + |z| = 1

A: As per the question we are given the equation of Taxi-metric hyperboloid as : |x| + |y| + |z| = 1…

Q: 8 2 Let (an) be a numerical sequence such that an>0 and Σan = 3. Then n=0 (A) lim an+1 n→∞ an 8 (Β)…

A: It is given that, an be a numerical sequence such that an > 0  and  ∑n=0∞an = 3. We have to…

Q: da Evaluate: S 2√√x+3 ○1-3 ln (7/5) 2-3 ln(7/5) 2 E

A: The given integral is ∫14dx2x+3 substitute  x=u12xdx=dudx=2xdudx=2udu x=uwhen x= 1, u =1x=4, u=2…

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A: Given points from which lines passes are (-1, -5) and (5, -2)

Q: Pleasantburg population model P(t)=at2+bt+PO PO is population. that population Pleasantburg t years…

A: Consider the given future population quadratic model, Pt=0.7t2+6t+15,000 where t is years after…

Q: Q.2. A system of equations is given: x₁-5x₂-3x, =7, 4x₁-6x₂-3x, =4. (a) Write the system of…

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Q: The time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: please see the attachment

Q: imate the relative error in surfac 025

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Q: Given a vector x, show that the infinity norm defined by x=maxx, 15iSn satisfies the triangular…

A: Let u=u1,u2,⋯,un and v=v1,v2,⋯,vn be two vectors in ℝn. The sum of vectors can be defined as…

Q: Evaluate: "cos (#)dzdxdy O(-2) ○ 4 (π-2) О 4п 0

A: Let us solve the triple integral in the next step.

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A: Given- The figure below shows an arrow diagram of a partial order R. To find-  List the maximal…

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Q: The standard form of the following linear differential equation sin x = (cos x)y + xsin x + 2 is: dx

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Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) +…

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Q: Let gcd (a,m) = 1 then the solution of the linear congruence ax = b (mod m) x = a(p)-¹b (mod p) x =…

A: Introduction: The greatest common divisor of two integers is an integer that divides both of the…

Q: Q9 a) Find the Fourier Transformation of f(x) = b) Find the Fourier series expansion of f(x) = 0, x…

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Q: Given the system x + 3y = 10 2x - y = 6 a) Create the augmented matrix of the given system b) solve…

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Q: For a science project, Levan launches a rocket from ground level directly upward at 29.4 meters per…

A: Given: The height of rocket is modeled by the equation s(t)=-4.9t2+29.4t, where t represent number…

Q: 5. (x (x-1)) dy + (2xy + y) dx = 0. y(2) = 5. Determine y(3). Answer shall be in fraction form.

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Q: A half range periodic function g(x) is defined by 1, 0 < x < 1, 2. 1 < x < 2. g(x) = { i. Sketch the…

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Q: Evaluate: ffdxdydz 0 - 12/2012 0 1 01/1/201 0 -1 S

A: To find- Evaluate: ∫01∫eez∫1yezxy dx dy dz

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Q: The figure shows a graph of the curve y = x³ + 2x + 5. A + -1 1 ta Calculate the first three…

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Q: A chemist has three different acid solutions. The first acid solution contains 15 % acid, the second…

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Q: of R4. Create a basis for U. Consider the subspace X = U = = span{ 2 B 1 08- ‚x}

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Q: Determine the volume of the solid generated in the first quadrant when the plane region bounded y² =…

A: Given the solid generated in the first quadrant when the plane region bounded…

Q: The following differential equation x²dy = (exy-1)dx is linear True O False

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Q: The manager of a weekend flea market knows from experience that if he charges a dollars for a rental…

A: The main objective is to select correct statements.

Q: If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10…

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Q: (a) Determine the Laplace transform of the following expression: te¹ sin 3t

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Q: Find an equation of the plane tangent to the surface 5x² + 6y³ +5eªy − z = 4 at the point (0,…

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Q: Solve the following initial value problem: dy t + dt 3y² (³,²-1²): y(t)= -55/366 2y4 = 0, y(1) = 3.…

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Q: Use a triple integral to find the volume of the solid bounded by the graphs of the following…

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Q: 3. Complex Variables 1 1 1 f(z)= + + +... 3 4 5 Z Z Z What kind of discontinuity? Integrate in…

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Q: Find the solution of the given initial value problem. y (4) 10y""+ 25y" = 0; y(1) = 10 + e³, y′(1) =…

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Q: Evaluate: "cos (=) dzdxdy Of(ㅠ-2) ○ 4 (π-2) O 4T 0 $100 4

A: