Determine the solution of the initial value problem 1. у" + 4y' + 5у%3D 35е4*, У (0) %3D — 3, у'(0) %3D 1

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. Choose a number and apply the following operations to it. Divide the number by 2, and add 3 from ...

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Q: 4.1 True or False: If A is a 4 x 4 matrix with only one eigenvalue, then A is not diagonalizable.

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Q: Question No. I Non-symmetric matrices with repeated eigen values Find the eigen values and eigen vec...

A: Given matrix is 110010001. Let A=110010001 We have to find the eigen values and eigen vectors of the...

Q: Arrow's Theorem Based on Arrow's Impossibility Theorem, the irrelevant alternative criterion is viol...

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Q: Find the product of 34 and 27 using the following methods. Illustrate/write your complete solution 3...

A: we have to find product of 34 and 27 by using the following method 3. Russian Peasant Method 4. Latt...

Q: Consider the function: f (x) = 4.x + 2x, + 7x3 + 5x + 10x1x2 – 8x1x3 + 12x2x3 – 6x2x4 + 4x3x4 + 17x1...

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Q: Question 3 1. Choose a number and apply the following operations to it. Divide the number by 2, and ...

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Q: A is a 4 x 5 matrix and rank(A) - 3. Choose from the following options the statement that is true fo...

A: A is 4×5 matrix with rank A =3.  

Q: Find an approхітation of 1000 Evi i=1

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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: 2. If y = tan(x +n), find x as a function of y.

A: 2 Given function is y=tanx+π. We have to find the x as a function of y. We know that y=tanx⇒x=tan−1y...

Q: Construct the truth table of each given compound statements for every item. If the truth values of t...

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Q: Let p: U → C be a holomorphic function on the star-shaped open set U. Suppose also p′(z) is continuo...

A: Given: Let p: U → C be a holomorphic function on the star-shaped open set U. Suppose also p′(z) is c...

Q: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. X1 - 5...

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Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

A: Given that Here AC=25 ft is the length of ladder. y is length of wall and x is the length of base B...

Q: *(:) - E 2x2 Let the transformation T be given by T and v = U2 3 Let u = V2 X (a) Find T (u + v). (b...

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Q: State the expression log in terms of individual logarithms of x, y and z. x* y'

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Q: (-1)p+1 - for convergence or divergence. 00 Imvesigate N = 1 (a) Diverges by Integral Test (b) Conve...

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Q: (2) The number of women in the workforce, based on data and projections from 1950 to 2050, can be mo...

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Q: The definition of a strictly increasing function ƒ is: A function f is said to be strictly increasin...

A: We can solve this by using above information

Q: A continuously-decreasing function that is concave up on the interval [2, 6] is represented by the t...

A: Please see the attachment

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

A: This is a problem of modeling and IVP.

Q: A steel company has two mills. Mill 1 costs P70,000 per day to operate, and it can produce 400 tons ...

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Q: Directions: Write the letter of the correct answer. 1. What ratio is equivalent to 15:45? А. 3:7 В. ...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: Find the outward flux of the vector field F = (x°, y°, z²) across the surface of the region that is ...

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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: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 422 +...

A: Please check the answer in next step

Q: Find the

A: From the given problem: z=6−x2−y2  ; z=2x2+2y2

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. 1 ,(2n)! (a...

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Q: Evaluate the following. f (x, dS f(x,y) = x + y S: r(u,v) = 3 cos(u) i + 3 sin(u)j + v k, 0 < u S n/...

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Q: xp (xi +x² + 1) dx 1 3 x(x +2x+ 1) dx 3

A:  Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and ...

Q: A fruit juice company makes two special drinks by blending apple and pineapple juices. The first dri...

A: Given data as ingrediantfirst drinksecond drinkApple juse30%60%Pinaple juse70%40% According to the g...

Q: For m,n E Zt, define P(m, n) to be: (п + т - 1)! n!(m – 1)! the number of ways to write n = x1+ · ·....

A: As per our guidelines, we are supposed to answer only one question(3 subparts) and rest can reposted...

Q: Given the argument: All dogs are animals. Some animals are hairy. Therefore, all dogs are hairy.

A:  All dogs are  animals .  Therefore set of dogs is subset of set of animals or is contained in set o...

Q: 5. Here is the graph of y= f( x). (a) Sketch the graph of its inverse on the same grid. (b) Is the i...

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Q: DETAILS LARCALC11M 9.6.025. MY NOTES ASK YOUR TEACHER Use the Ratio Test to determine the converqenc...

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Q: 1. Find the first and second Taylor Polynomials of the function f(r, y) = xe" +1 about (0,0).

A: The first Taylor polynomials of the given function about (0,0) is given by: f(x,y)=f(0,0)+fx(0,0)(x-...

Q: The curve C have the parametric equation: x(t) = t² + 1 and y(t) = t³ – 1 a) Make a sketch of curve ...

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to de...

Q: Yvette purchased a car and she obtained an 7 year term loan with an annual interest rate of 3.44%. T...

A: Remaining balance = = P1+rnnt-d1+rnnt-1rn Where principal P and monthly payments d are unknowns.  n ...

Q: Let a > 1. Find the area of the region bounded by y = /2(x – a) and y x- a. A) B) C) E) 6. A) B) c) ...

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Q: Add and simplify.

A: 1.(a) Given,                 27+57=

Q: Which of the following is a differential equation with homogeneous coefficient? (a) (y? 1² + y² ) dx...

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Q: Let f(r, y) = 2r2 + 2y? - 1. R2 R Rs RA 1. Calculate ff f(r, y)dA by first integrating y and then a,...

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Q: Let u2 M = E R* : u; 2 0 for i = 1, 2, 3, 4 u = U3 U4 Is M a subspace of R*? Justify your answer.

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Q: The region W lies between the spheres a? + y? + z2 = 9 and æ? + y² + z² = 16 and within the cone z =...

A: Here we can use divergence theorem to find the flux of the vector valued function. Divergence theore...

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: let a and b be integers, if 7|(17a+25b) then prove 7|(10a+11b)

A: 7 | (17a+25b)  =&gt; There exist some integer k such that       17a+25b = 7k

Q: 12" converge or diverge? Does the series n+1 n=1 Choose the correct answer below. O A. The nth-term ...

A: To find- Does the series ∑n=1∞12nn+1 converge or diverge?         Method Used-  nth term test: If li...

Q: A particle moves along the x-axis so that its position at time 0 <t < x(t), whose graph is shown in ...

A: The inflection points are  x= 5, 7 and 12 In the interval (5,7) the graph is concave down  If the gr...