y" + 2y' + y = 6 sin t – 4 cos t, y(0) = -1, / (0) = 1

Q: Verify that the series Σ n n4 +1 n=1 satisfies the conditions of the Integral Test, then use the Int...

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The...

Q: Determine whether the equation is exact. If it is, then solve it. (e'y + te'y) dt + (te + 2) dy = 0.

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Q: F (x. y) = 3x²+3y² –18y+15 4- /2x+4y+4 a) Find domain b) Draw sign Diagram

A: The given function is Fx,y=3x2+3y2-18y+154-2x+4y+4. (a). We know that the domain of a function Fx,y=...

Q: By Simpson's \frac{1}{3} rule, the value of  \int_{1}^{7} \frac{d x}{x} is?

A: Simpson's 13 Rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-an and n i...

Q: • Determine the maximum revenue and the production level that will realize this. • Assume that Plan ...

A: The number of units sold multiplied by the average sales price equals revenue, which is computed by ...

Q: |2 In x 1 et 2 1 In 2x

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Q: Determine if the following limits exist: x2 + y? (a) lim (x.y)→(0,0) e# + y² – cos(y) IVly[ sin(y) (...

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Q: (+) 1. Let a, = sin- for n EN = {1, 2, 3, . }. sin n+1 (a) Determine if the sequence {an}=1 converge...

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Q: Use the Comparison Test to determine if the series 2+ In n n sin? n n=1 converges or diverges.

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Q: 3. Find the derivatives of y with respect to x: a) y = xex – e* b)' y = e(*x+) c) y = e*(sin x + cos...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: 7. Find the Upper Bound (UB) and Lower Bound (LB) for f (x) = x' – 3x + 24. a. Unbounded. b. LB =-3;...

A: It is given that,                      fx = x5-3x3+24 For any real number c ; Consider,   fx = c Tha...

Q: Given the function f(x) = –6x + 36x², determine all intervals on which f is both increasing and conc...

A: Given the function  f(x)=-6x4+36x2

Q: (b). A club has 5 freshmen, 6 sophomores, and 7 juniors. How many committees of 4 people from at lea...

A: No. of Freshmen = 5 No. of sophomore = 6 No. of juniors = 7 Total = 5+6+7 = 18

Q: Let S be the transformation whose matrix is A, and let T be the transformation whose matrix is B, wh...

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Q: Determine the Fourier transform and plot the magnitude S1, It| < T/2 l0, otherwise (ii) x(t) = f(x) ...

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Q: 3. Find the derivatives of y with respect to x: a) y = xex - e* b)' y = e(+x+) c) y = e*(sin x + cos...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: Find the volume of the solid formed by the region inside the sphere x2 + y² + z² = 16 and outside th...

A: The given problem is to find the volume of the solid formed by region inside the sphere and outside ...

Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a ...

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Q: 3-23. Determine the unstretched length of spring AC if a force P 80 1lb causes the angle e 60° for e...

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Q: Fibonacci Numbers Recall that the Fibonacci numbers f(n) can be be defined recursively by letting f(...

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Q: The marketing research department for a computer company used a large city to test market the firm's...

A: The revenue function is calculated by multiplying the demand function by the number of quantities de...

Q: (a) Let A € R™×n be a tridiagonal matrix, i.e. bị Ci ... az b2 c2 0 a3 b3 ... ... A = 0 0 0 0 0 0 bn...

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Q: Solve the ODE : x +5xy+9y =0, x>0 21) 38e the ODE:メ+5x+3メ 2

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Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the syst...

A: The general form of a system of equations of two variables is given by a1x+b1y=c1 and a2x+b2y=c2. Th...

Q: 5- 25 + 4 (s + 1)(s + 2)°

A: This is a problem of Laplace Transform.

Q: dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

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Q: aiShot(购买解锁去水印) The public health authorities of a small town have divided the population into three...

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Q: Use the Comparison Test to determine if the series 2+ In n Σ n sin? n n=1 converges or diverges.

A: Introduction: The comparison test is a tool to test the convergence of an infinite series. In this t...

Q: Find the maximum and minimum values of the function

A: Given,          g(θ)=3θ-9sinθ  on 0, π  

Q: . Let an = sin sin for n eN = {1, 2, 3,...}. n+1 (a) Determine if the sequence {an}n=1 converges or ...

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Q: 1/12,1/2,1/13,1/3 , 1/6 Arrang the fraction , Ascending Order

A: Given  1/12, 1/2, 1/13, 1/3, 1/6

Q: Is the solution x -16

A: Given 2x + 8 &gt; -16

Q: 2. Prove directly if the statements that are true, give counterexamples to disprove those that are f...

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Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi...

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: E A) Find the value of (H) if, / A: |H 1 -1 (x3-1) 1 = lim,- 0. (x-1) 4 2 1

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Q: Construct an example of a second-order, non-constant coefficient, linear, homogeneous ODE. Then answ...

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Q: 9. In each part, either draw a graph with the given specifications or explain why no such graph exis...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: lse the method of undetermned coofficients to solve the differenticl eqination: y°+9y=@osCat) +Sin(3...

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Q: Find the specific solution to the following 2nd order non- homogeneous differential equations b) d²y...

A: Given d2ydx2 + y = sin(x)

Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

A: Solution:   

Q: Evaluate - (~ p < q) ^ ~ (p →~ q). O FFFT O FTTF O Tautology O FTFF O FFTF O Self-contradiction

A: As per our company guidelines we are supposed to answer only the first question. Kindly re Post the ...

Q: Find the roots: x3 = 2 - 3i

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Q: How many ways can a teacher select Billy and Samantha to be on a committee of 6 people from a classr...

A: Here we use Basic Permutation and Combination.

Q: Solve the initial value problem having the initial conditions. (Hint: Each time, integrate to go dow...

A: The given initial value problem is  y(4)=-sint+costy'''(0)=7, y''(0)=y'(0)=-1, y(0)=0 We have to sol...

Q: 4. Transform the following into Tn, the triangular numbers and use this to find the closed form of t...

A: We have to find the nth term and closed form of sequence.

Q: Being h, k constants. Consider the quadric surface S of equation (x – h)? (y – k)² = 5 – z 3 9 The t...

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Q: 16x? 36y? = 1

A: Let us consider the equation x2a2-y2b2=1  It is standard form of hyperbola where transverse axis is ...

Q: Problem 7 Show the derivation of formula for the conversion from spherical coordinates to rectangula...

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Q: 3. Find the derivatives of y with respect to x: a) y = xex – e* b) y = e(*x+=) c) y = e*(sin x + cos...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: 2. Use spherical coordinates to find the volume of the solid that lies above the cone z = 3r2 +y? an...

A: Relation between cartesian and vector form  x = ρ sin φ cos θ , y = ρ sin φ sin θ  , z = ρ cos φ  Wh...