Solve the following deferential equations b) -2√x √x

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e";…

A: Solution is here

Q: Part I: Polar Points 1. Name the point (-2,7) in three other ways on −2ñ < 0 < 2ñ

A: Here, the given polar point is: -2,2π3

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: First we find revenue function from given data.  And then we find maximum revenue for sold…

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx VI…

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Q: A piece of 1m wire is cut into two parts, one bent into the shape of a circle and the other into the…

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Q: Given the following characteristics, select the function family that is described. Shape: single…

A: Graph of logarithmic function

Q: X -S²- VO- The numerical value of dx will be equal to

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y - axes. If the region is…

A: Solution is here

Q: Write an equation of the line perpendicular to the line y = 3x − 7 at (5, 8).

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Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

Q: Determine the absolute extrema of the function ?(?) = sqrt of x - 9 on the interval [9,45]

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Q: Using S- dx x√√x-1 Rationalizing Sfy)dy, find ffy)dy Substitution

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Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: create 2 sample word problems of chain rule

A: 1) Differentiate cos(sin(ax)) by using chain rule   d/dx { cos(sin(ax)) }  =  - sin(sin(ax)) * {…

Q: Determine the value of k for which Assume that k is a positive number. k k 1/² 2/² | = 4 2k = 0

A: Given determinant of the 2 by 2 matrix is 0

Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a whole number value, no…

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Q: f(x) = -(x − 1)² +4 Use the equation of the function to find each characteristic of the function.…

A: Given:        fx=-x-12+4 y-intercept:      To get y-intercept put x=0       y=-0-12+4…

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

Q: 5.Find the area of the region bounded by y-8/x, y=2x and x=5.

A: Graph :

Q: Given the 2nd order linear differential equations, y"-7y'+y=6. What type of case applies if solved…

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Q: Find the area in the first quadrant bounded by f(x)=4x-x^2 and the x-axis.

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Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

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Q: Find the area under the graph of the function over the interval given. f(x)=e*; [-5,2] The area is…

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Q: 2 2a 2b + c = -2 a + b3c = 3 a 3b + c = -5

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Q: Answer and give a complete solution. A ladder 25 ft long stands against a wall. The lower end is…

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 4 with initial vector

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Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

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Q: Find and classify all critical points of the function 3 f(x, y) = x³ + 2y - In(x³y³) Item 5.pdf

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Q: Evaluate S dx √x² +25

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Q: fx,> 8 and x n+1 2 for n EN. Then the limit of x is equal to X 21 ......

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Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0)…

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA.…

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Q: The interval of convergence of the series Σ(√n+1-√√n) (x+2)" is given by A=0 A-3≤x<-1. OB-3<x≤-1.…

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Q: y 4. Find the volume of solid of revolution by rotating y = √√x-2 and x = 10 about the y-axis.

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Q: The value of a is Blank 1. [²1² sin³r cos³r dr == where a =.

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A: This question can be solved using the concept of shell  method.

Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

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Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

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Q: Part III: Approximation and Differentials. (no using of calculator present all manual computations).…

A: To estimate the value of (217)(1/3) by approximation and differentials.

Q: e-"-3y +2y=12e; where y'(0)=6, (0)=2

A: We need to solve D.E.

Q: Find the particular solution of y''-5y'=x-2 when x=0, y=0, y'=2

A: Given that that a non homogeneous differential equation and we find its solution.   Here i attached…

Q: What is (x - 12)² + y² = 144 in polar form? r = 24 sin 0 r= 24 cos 0 O Option 1 r= -24 sin 0-144…

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Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

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Q: Answer and give the complete solution. The lower edge of a mural, 12 ft high, is 6 ft above an…

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Q: 2. Using your calculator, determine how many solutions the system has. Then without a calculator,…

A: This question is based on solution of Polar function.