E O y, = [Ax? + Bx] e2*

Q: Evaluate f (5+ln æ)? -dx. Give your answer as a simplified fraction if necessary. The value of the d...

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Q: . (6xy² – xey + 2y)dy = y(e*y – 2y²)dx

A: Using method of exact differential equation.

Q: Solve using homogeneous differential equation y'dx- (xy + y° kty = 0 Let the substitution y=? 2; y=v...

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Q: At time t = 1, a particle is located at position (x, y) = (4, 1). If it moves in the velocity field ...

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Q: f (t) = 2 (sinh t) (sint)

A: The given function is: f(t)=2sinh(t) sin(t)

Q: sin² 3y 5. ye 3^cot3t

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Q: (I-) = 2- VT-I (b) i) Compute lim- ii) Hence prove the limit in i) above by -ố definition. 2

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Q: 1. Consider a rectangle with perimeter 28 (units). Let the width of the rectangle be w (units) and l...

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Q: Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly fro...

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Q: Use the position function s(t) = –4.9t* + 250, which gives the height (in meters) of an object that ...

A: It can be solved using simple differentiation and limits.

Q: Solve using homogeneous differential equation x*dy+(2.xy – y² kdx = 0 Let the substitution y=2; y=vx...

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Q: В D A

A: Topic = Triangles

Q: 2. Form the differential equation by eliminating constants a and b from y? = a(b – x)(b+ x) + 59.

A: y2=a(b-x)(b+x)+59

Q: 3. The population P of a certain small town t years from now is predicted to beP(t) = 35000 + %3D 10...

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Q: The weekly cost for a small confectioner to produce g chocolate bars is C(q) = 1700 + 0.12q + 0.001g...

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Q: të the area covered by the curv om xi X2

A: Given query is to find the area bounded by the curve from x= -1 to x = 1.

Q: cosh(2r) – 1 6. (a) Show that sinh (z) = (b) Find the nth term of the following sequence {1,8, 10, 2...

A: The two problems are as follows.

Q: The period of y = 3 cos 5x is 2 2 /5 2 /3

A: Given that: y=3cos5x

Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

Q: deteremine the solution of the following equations using the methods in solving for solutions of dif...

A: Differential equation problem   , v =  y/x   form 

Q: The functions 7(t) = (cos t, sin t) and R(t) = (cos(t²), sin(t²)) generate the same set of (x, y, z)...

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Q: Finding the volume of a solid of revolution (washer method) Using the washer method, determine the v...

A: Given:     x2 + y2 = 16      x = 4 

Q: diverges: too e -2 dx 2. Evaluate the integral and state whether it converges or

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Q: What is the range of g(x)( 1/2)^x - 4

A: Topic:- algebra

Q: Evaluate the expressions. a) 4°.4-2 b) 3-2.3- a) 4° .4-2 (Type an integer or a simplified fraction.)

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Q: 3. The function (x, y)= 8r-/4x +3y is homogenous in x and y of degree 2х 4. The function (x,y)= (x' ...

A: Here ,                We have given some of functions f(x,y) which are homogeneous in x,y so we have...

Q: 1. If f, g, and h are odd, integrable functions, and a is a real number then a | (1)i+ g(t)j+h(t)E) ...

A: "Since you have asked multiple question, we will solve the first question for you.If you want any sp...

Q: Evaluate each expression. (a) (20b)° (b) 206° (a) (20b)0 = (Simplify your answer. Type an integer or...

A: Given:- (20b)0  20b0 To find:- Evaluate above given expression

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

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Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: f (t) = 3 (t + 1) H (t – 1) |

A: Solution ) f ( t ) = 3 ( t  + 1 ) H ( t - 1 ) Formula  [ L g(t) H ( t - a ) = e-asL{ g( t + a ) } a ...

Q: The radius of a circle is 8 inches. Find the number of radians in the central angle of the circle wh...

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Q: Jason needs 24 feet of fencing. The fencing is priced at $0.25 per inch. How much will it cost Jason...

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Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had decrease...

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Q: 2. Use long division to divide P(x) 3x'+ 7x - 2x- 11 by the binomial (x-2). Express your answer in q...

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Q: Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z si...

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Q: Find the partial fraction decomposition of the function. Write answer in simplest form. 10 b) f(x)= ...

A: Given that: f(x)=10(x-1)(x2+9)

Q: y''=-4cos(2x)+2sin(2x), Eliminate Arbitrary Constant

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Q: .A: The integral of the following function: In(sin² x) dx tan(x) ay be expressed as: A In®(sin x) + ...

A: Topic:- integration

Q: y=2C1cos(2x)+C2sin(2x), Eliminate Arbitrary Constant

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Q: a) a fonction f (xy) is homogeneous of degree 7 in X and y it and only it

A: As per bartleby guidelines we only give first question answers. 

Q: 1. A function f(x, y) is homogeneous of degree 7 in x and y if and only if, 5x'-2y 8x +3y 2. The fun...

A: Solution ) A function f(x,y) is homogenous of degree 7 in x and y if and only if f (kx , ky ) =k7f(x...

Q: The graph of y = f(x) passes through the point (9,4). Also, the line tangent to the graph at any poi...

A: Given: The graph of y=fx passes through the point 9, 4. Also the line tangent to the graph at any po...

Q: find the y-intercept of the line that passes through (1,2,-3) and is parallel to the wing 1/3(x-4)= ...

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Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: Solve the homogenous equation. 1. y'dx-(xy+ y³ \dy = 0 Let the substitution y=²; y=vx; dy=vdx + xdv ...

A: Substitute v = yx and solve the given differential equation. Note : As per our Guidelines , we can s...

Q: [4x°cos(xy)-x*ysin(xy)– ye" +3x³]dx -[x°sin(xy)+ xe" +6y°]dy = 0

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Q: Find the area under the curve y = xe for x > 1. area %3D

A: Given curve is y=xe-x for x≥1 Apply the area formula  ∫01xe-x dx      ⇒∫01xe-x dx⇒(-x-1)e-x01⇒1-2e-1...

Q: The solution of the equation 3^2x - 3^x+1 +1 = 3^x-1

A: