indly show illustration and solution. A rectangle is inscribed in a right tria

Q: Let y: IR→ R be the parametrised curve Y(t) = (-2+cost, 1-sint, - cos t a) Show that y is unit…

A:

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N} (b) {x ∈ N : x 2 ≤…

A: (a) Given set is ={x%5:x∈N} The elements of the set are remainders obtained by dividing by 5. So,…

Q: { :Find the first 3 terms for 2n-1 (2n-1)! (−1)n+¹

A: given sequence  -1n+1x2n-12n-1!

Q: An artist can complete 11 drawings each month. Currently her portfolio contains 50 drawings. How…

A: An artist can complete 11 drawings per month. Currently, there are 50 drawings in her portfolio.…

Q: a, n = n 3n+1 3n-1 A) convergence C) test fails B) divergence O ооо

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Q: : r= = (2,0) + s(-3,-3) determine if land l₂ will intersect or not. 20. Given l₁ : r = (1, -2,) +…

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Q: stretches a spring 8 feet and an impre <∞o. If the weight is released from re ected, then

A: Given that,  w = 32 lb Then, m = wg    = 3232 = 1⇒m = 1andk = w8   = 328 = 4⇒k =4

Q: A manufacturer of lightbulbs wants to produce bulbs that last about 700 hours but, of course, some…

A: Since derivatives of F(t) represent the rate at which the fraction F(t) of burnt out bulbs increase…

Q: 2. Solve the outgoing signal problem Utt- c²uxx=0, x > 0, -∞0 <t<∞0; ux (0,t) = s(t), -∞0 < t < 00,…

A: From the above details we have,

Q: P problem, there us linear

A: The assumptions are given as,

Q: Use Bisection method to find the root of the following equation then choose the correct answer:)…

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Q: solve the following linear programming problem by applying the simplex method to the dual problem…

A: Let us solve the given LPP using Dual simplex method in the next steps.

Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D a Then the double…

A: Here given  fx, y=x+y and the domain is given as D=x, y:1≤x≤2, x2≤y≤4

Q: What are all of the theorems used in a ferris wheel?

A: A Ferris wheel is a type of amusement attraction that consists of a revolving upright wheel with…

Q: Neme Find the area (in sq.units) of each figure K

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Four boys were playing marbles; their names were Gary, Harry, Iggy, and Jack. One of the boys had 9…

A: Gary shot before hary and jack.  Implies Gary &lt;  Harry/ Jack Jack shot before harry implies…

Q: If under the bilinear transformation W 19 W 2, W 3, W 4 are the images of Z₁, Z2, Z3, Z4…

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Q: * Find (fzyx) for the function (f = sin(xy)* .cos(yz)* cot(xz) ) B) zycos(yz)-sin(yz) O A)…

A: Given: f=sinxycosyzcotxz To find: fzyx

Q: determine if type of mortgage and home purchased are independent.  Justify your answer by showing…

A: Two event A and B will be independent if  PA∩B=PA×PB

Q: Starting at age 30, you deposit $2000 a year into an IRA account for re stream. If money in the…

A: Given that Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat…

Q: An average cost function is given by the equation AC = 600-640 + 20². m) Find the values of Q at…

A:

Q: Find the Wronskian of the functions f(t) = 5e* sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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

Q: 3t If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Determine the 1st and 2nd degree Taylor polynomials L(x, y) and Q(x, y) for ƒ(x, y) = e¯x²—y²…

A: Introduction: The formula of 1st and 2nd degree Taylor polynomial at a point a,b is given by,…

Q: Prove that for all positive integers n, we have 6″ – (-4)″ Σ (1) 5k 2 k−1 k odd =

A: Expand 1+xn 1+xn=C0n(1)nx0+C1n(1)n-1x1+C2n(1)n-2x2+.......+Cnn(1)0xn=∑r=0nCrnxn Expand 1-xn…

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A:

Q: Q3: Answer the following: a) Use Cauchy-Riemann equations to test whether f(z) is analytic. Here…

A: Here given function  fz=z+iRez-eizorfz=z+iRez-cosz-isinz   .......1 Now consider z=x+iy Then…

Q: 3Fn-Fn-2 = Fn+2

A: Now, for Fibonacci sequence Fn, we have: Fn=Fn-1+Fn-2 So,…

Q: 23. If a motorcycle can drive 45 kilometers on a tank of 3 liters, How far can it drive on 5 liters?…

A: Given, a motorcycle can drive 45 kilometers on a tank of 3 liters. Then Motorcycle drive on a tank…

Q: (d~ ^b) → (b←d)

A: we have to find the truth table for (p→q)⇔(q∨~p)

Q: Which of the following sets are finite and which are infinite ? (i) Set of lines which are parallel…

A: We know that ,  A set is collection of any objects. Finite sets are the sets having  a finite or…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q1. Use Cramer's rule to solve for y without solving for the un- knowns x, z, and w. 4x + y + z + w=…

A:

Q: open disk 12 e open disk |w+1 − 3i| < 5. + 2] < I under the transic

A: Given open disk z⊝+1+i&lt;1. transformation as, w=3-4iz+6+2iT. To show the image of the open disk1…

Q: ΗΣ 1 •n=1 an = 3π , find limno 2 sin(an)+11 4

A:

Q: 1. Given a. b. C. ixª + 1 1 + dx ) Evaluate the indefinite integral above Evaluate the integral…

A: According to our guidelines I can answer only question 1. From the above details we have.

Q: If y₁ and y2 are linearly independent solutions of ty" + 3y' + tetty = 0 and if W(y₁, y2)(1) = 4,…

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Q: Solve ( sin θ - 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0 a. r sin^2 θ - r^2 cos^2 θ = c b.…

A:

Q: 6. Consider the dynamical system dx -= x (x² - 4x) dt where is a parameter. Determine the fixed…

A: From the above details we have,

Q: Write each of the following sets in correct roster notation: (a) {n % 5 : x ∈ N}

A: Given (a) {n%5 : n ∈ℕ}   To Write Set in roster notation.

Q: Solve the following differential equations of [x²D² + 3xD-3]y=x

A:

Q: Test the convergence of the following series using the nth Root Test. 1 Σ C) 0 O B) 1 O A) 2 O

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Q: Find the linear approximation to g(z) = cos(z + 1) at z = 0. Use the linear approximation to…

A: The formula to find the linear approximation Lz of a function fz at the point z=z0 Lz=fz0+f'z0z-z0

Q: 1) Give the Interval of existance for the Solution to the initial valve problem. (+²-16)y" + Cos(4+)…

A:

Q: Find a, b, c, and d such that the. Relative maximum: (2, 9) Relativ-

A: Given,            f(x)=ax3+bx2+cx+d

Q: ГО 0 01 = 0 1 4 Lo 2 3] a) Find the eigenvalues of A. b) Find a nonsingular matrix P and a diagonal…

A: The given problem is to find the eigenvalues and eigenvectors of the given matrix and also find the…

Q: For the function below, find (A) f'(x). (B) the partition numbers for f', (C) the critical numbers…

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Q: 3) Let the order on the X÷1-00₂ √₂)NQ 2 be the known order. find the Supremum Supremum and infimum…

A: Here given set is A=-2,2∩ℚ

Q: 10. Estimate the instantaneous rate of change of f(x) = interval with h= 0.001. Round to 2 decimal…

A: Let us find the instantaneous rate of change of the given function in the next step.