Using the method of variation of parameters, the form of a particular solution pof (D²+25)y=4x²-3e5x is A Yp=A+BX+Cx² + Exe5x Byp Acos5x+Bsin5x Yp=Ae5x + Be-5x DYp=A+Bx+ Cx²+ Ee5x

Q: The length of a rectangle is x feet. Its width is (x—7) feet. Draw and label a rectangle to…

A: Sol

Q: An air filter has a width of 23 inchws and a length of (3x+32) inches. Find the value of x such that…

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Solve xi + 2x2 + 4x3 + X4 = 21 2x1 + 8x2+ 6x3+4x4= 52 3x1 + 10x2 + 8x3 +8x4 = 79. 4x1 + 12x2 +…

A: To solve given system of equations.

Q: 3) The perimeter of your classroom is 100 feet. Let W be the width of the room (in feet) and let L…

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Q: Use technology to find the solutions to x4 - 3x3 -3x2 + 7x + 6 = 0.

A: Explanation: Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for…

Q: Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so…

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Q: For a certain company, the cost for producing items is 55x + 300 and the revenue for selling x items…

A: Let us solve above problem

Q: 7x+2y=8 x-2y=-8 Find x and y of linear equation using elimination method

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Q: 25x2+16y2-600x-256y+4224=0 What is the standard form of the equation?

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Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

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Q: Apply a theorem from the lecture to determine if there is a choice of rational numbers a, b, c, d…

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Q: Describe the end behavior of y=x3-4x2+2x-18

A: y=x3-4x2+2x-18 Describe the end behavior of given polynomial

Q: Which choice includes all of the solutions to 2x2 + x – 3 = 0?

A: Given,          The equation is 2x2+x-3=0.

Q: A rectangle has a length of x+ 2 and a width of 2x + 4. If the perimeter is 42, what is the value of…

A: length l=x+2width w= 2x+4given perimeter =42perimeter of rectangle =2l+w

Q: A rectangular pool garden measures 21 meters by 34 meters and has a cement walkway around its…

A: length of garden=34m length of garden and walkway = w+34+w = 34+2w

Q: Which point is not in the solution set of y 2 2- 3x? A (4, 3) B (-2, 0) C (7, 5) D (5, 7)

A: We have to identify that which point is not in the solution set of y≥2-3x where points are given as:…

Q: solve algebriaclly 3x-2y=-11 and 5x-3y=-16

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Q: What is the only solution of 2x2 + 8x = x2 – 16?

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Q: Martha is visiting New York City for the first time. Her hotel is on 6th Avenue, which is at point…

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Q: In a game of cornhole, Sarah tossed a beanbag and it landed at the edge of the hole. The hole can be…

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Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: Find the equation of the line that is perpendicular to 2x+3y=4 and goes through the point (2,3). If…

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Q: Amir lives at point B (2, 4). Eric lives at point C (3, -3). The Pizza Shop is located at point A…

A: Step 1: Step 2: Step 3: Step 4:

Q: A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than its…

A: A(w)=w(2+w)A=15 square inches

Q: Which equation has the same solution as x2 + 8x + 19 = 1? O (x – 4)² = –34 %3D (x – 4)² = -2 O (x +…

A: x² + 8x + 19 = 1 So, (x² + 2•x•4 + 4²) + 3 = 1 So, (x + 4)² = - 2