Solve using undetermined coefficients. Use A, B, C and etc. for constants. (D^2+25)y=x^2 cosx

Q: Find the following derivatives: (No need to simplify) In(2x-1) √2x-1 a. dy for y= dx b. f'(x), where…

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Q: Find the intervals on which the function is increasing or decreasing. f(x) = 2x³ + 3x²-72x+19 ...…

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Q: Find the transform of the function tp with p > −1. a) if p = n is an integer, show that L {tn}  =…

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Q: Find UA, and A, if for every positive integer i, i=1 1) A;= {-i, -i+1,...,-1,0,1,2,...,-1,i} 2) A =…

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Q: 14. Find four solution of z=3-4i to three decimal places

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Q: -) = te' +Tf(t-1)dt -tsin(t) f(t)=sin(t)-- the t²e¹ 3te¹ f(t)=- + 4 4 f(t)=sin(t) + cos(t) 4t f(t)=…

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Q: 7. Use an iterative approach to find the solution to each of these recurrence rela 3) an 2an-1-1, ag…

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Q: (9) Two objects and x₂ on a coordinate line at the end of 5 seconds are 1₁ = 35²³-125² + 185 +5 and…

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Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 500yd…

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Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Solve using 1. (D² - 5D + 6)y = x²e* + 2x undetermined coefficients. Use A, B, C and etc. for…

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Q: Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = cos(t) + sin(t)…

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Q: Find an equation of the plane. The plane through the point (-2,4,-6) and with normal vector (n)…

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Q: Use Green's Theorem to evaluate F.ñds, where F =(√x + 3y, 2x + 3y) C' is the boundary of the region…

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Q: If what is f(x) = sin(x) a. The 106th derivative is sin(x) + cos(x) b. The 106th derivative is…

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Q: 3. y" + 4y = sin(t) − u2 (t) sin(t - 2π), y(0) = 0, y'(0) = 0 Solution: Let Y(s) = L{y}, then…

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Q: Let T=(V,E) be an undirected tree such that |V|=n. Select all that are true. a) |E|=n-1 b) T is…

A: (a) TRUE (By definition) (b) TRUE ( comes from definition) (c) FALSE ( not all edges are adjacent)…

Q: 9. A regular problem A You are given a box of matches. The matches are all the same length and you…

A: Step 1 We need to find the minimum number of matchsticks required to form, six possible pairs of…

Q: 3. Let R be the region bounded by the graphs of 2 3 9 G₁: (²-)² + y² = ₁ and ₁1y = C₂:y: 4¹ (0, 0)…

A: We are given a figure, in which a region is bounded by two curves. Our aim is to find the integral…

Q: (24) Let p, q € N be two distinct primes. (a) Find the following quantities (possibly in terms of p…

A: Given: p, q∈ℕ are two distinct primes. To Do: (a) Find gcdp, q,   gcdp2q, pq2,   gcdpq, p2q2+1. (b)…

Q: The number of cell phone accounts in a certain country has increased exponentially for the last…

A: The number of cell phone accounts  in this country  can  be approximated by the function  is…

Q: A machine is now worth $145,200 and will be depreciated linearly over a 6-year period, at which time…

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Q: ​Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits, the price per suit must be…

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Q: The number of hits on a certain website (in thousands) is approximated by f(x) = 20e0.1633x, where x…

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Q: At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

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Q: Find the double integral over the rectangular region R with the given boundaries. Sy dx dy: 2 ≤x≤4,0…

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Q: Estimate the error if e-² is approximated by 1-2² +21 in the integral L²e-2². dx.

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Q: Prove completely. 1. If both m and n are odd integers, then m² +n² is an even integer. 4. If x and y…

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Q: Calculate the "Area" using the "Iterated" Interval. For the Given Domain Region: D=(x,y|v-35x≤3,0sys…

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Q: Given the region R on the right, use vertical trip, SET UP the double integral that will olve its…

A: Given: y=x , y=x3 To find an area of region R.

Q: e that A = -4 -7 -4 2-4 5 X = -(41) -2 eigenvector of A. What is the associated eigenvalue?

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Q: Find consumer's surplus for the demand function P demand of x = 20 200 T x + 50 at the

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Q: 1. What is the maximum of the function H(t)? 2. What is the height of the center of the Ferris…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 491 km/h and…

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Q: The region bounded by f(x) 2x² + 12x + 14, x = = 0 is rotated about the y-axis. Find the volume of…

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Q: 3. Find the inverse Laplace transform. a) 8s2 − 4s + 12/s(s2 + 4)

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Q: nl (n-8) ? 22-(²H₂) (9

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Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=2f(x-1). Continue O…

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Q: f(x) = x4 - 8x³ + 8 Answer the following by showing supporting work for each answer. Do not simply…

A: Given: fx=x4-8x3+8 A. List the interval(s) for where the function f is increasing. B. List the…

Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dp…

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Q: Show that for every integer n, n³ + 2 is not divisible by 4.

A: Here, we use rules of divisibility.

Q: Jared believes this equation has one solution because the expressions on either side of the equal…

A: To check the mistake made by Jared.

Q: Suppose the supply and demand for a certain textbook are given by supply: p=- 19². quantity and the…

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Q: For each scenario below, choose the best graph. (a) The number of rabbits in a forest goes down.…

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Q: Find the sum of the series: -0 on - 3 ป

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Q: Decide which of the following are valid proofs of the following statement: Let n be any integer.…

A: Let n be any integer. Then n3-n is divisible by 3.

Q: X D-12 = Z Consider the transformation Ty #¹] x + 2y + 3z + 2y - 3x + z • (a) Determine if T is a…

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Q: Find any critical numbers for the function f(x) = (x+2) and then use the second-derivative test to…

A: The given function is fx=x+26. Our aim is to find the critical points of the function if exits and…

Q: A particular solution of y"-y'-6y=2sin(3x) cos(3x)-5sin(3x) -cos(3x)-3sin(3x) a. b. 8 13 C.…

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Q: (a) Calculate the determinant 0 1 2 -1 1 0 20 3 (b) Hence, or otherwise, state whether the following…

A: (a)  Given matrix determinant is  012-110203 =0 - 1-3-0+20-2…