Find the length of side x in simplest radical form with a rational denomin 1.

Q: 1.A man is 4 years older than his wife and 5 times as old as his son. When the son was born, the age...

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find the inverse laplace transform of: F (s) = 6. es.s(n+1)

A: Find the inverse laplace transform of Fs=6essn+1  

Q: P2.A: The integral of the following function: r In(sin2 x) dx tan(x) may be expressed as: A ln3 (sin...

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Q: Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, ...

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Q: evaluate

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Q: Find the L{y(t)}, given the initial value problem y" + 4y' +5y = e"; y(0) = 1, y'(0) = 2 %3D 10 (s–1...

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Q: What is the equation of the circle that represents an orbiting communication satellite 45 000 km fro...

A: Given the distance between the satelite and the center of the earth is 45000km.

Q: A 300 liter tank initially contains 100 liters of concentrated orange juice. 10 liters per minute of...

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Q: Given the following differential equation: (D² – 9) y = e-4= cos e* Using the method of variation of...

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: A 2‐lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

Q: dy dy Given the differential equation 2. da3 +2. dx2 dr Propose an appropriate particular solution. ...

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Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

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Q: Suppose a metal ball is heated in an oven at 195 °C for a very long time. After, it was removed and ...

A: follow the procedure given below.

Q: The independent variable(s) of the equation Urr B- uy + aug is/are ох, у a, ß о и, х, у

A: The given differential equation is:uxx=β2uy+αux

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount o...

A: Let X0 be the initial amount of material when t =0            After time t the amount which is left ...

Q: 12. Given the graph of y = f(x) below, which of the following best represents the graph of y = (x +3...

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Q: Applying variation of parameters to the DE: y" - y = e +e ,we get the following system of equations:...

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Q: 16 Find F(0) if F (t) = L-} O 4 O 2 O 16

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Q: Find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the larger numbe...

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Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function 

Q: Given the equation S'sin x cos x dx The equation can be answered using Lesson No. 5(Case 2) and usin...

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Q: Which of the following differential equations is exact? O (sin æ – ycosy) dx + (xcosy – sin æ + y) d...

A: The solution of differential equation is written in step2and 3.

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

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Q: > [1] [(4x³ + x)V4x² + 1dx > [2] S(2x7/2 – væ)* dx > [3] S V1 + 2sin3xcos3xdx

A: See this solution 

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

A: Given that: The difference in Temperature of the Metal Block and Room at 5:30 PM is 5oF. Label as Td...

Q: Which of the following sets is denumerable? A.) [1, 20) B.) { 1.9, 1.99, 1.999, 1.9999, 1.99999, . ...

A: Which of the given sets is denumerable? An infinite set is denumerable.

Q: 3) Write the equation of a circle that models the shock wave ( seismic wave) from an earthquake, 30 ...

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Q: Write out the form of the partial fraction expansion for the following functions. Do not determine t...

A: Solution of above question is written in below steps.

Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to wit...

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Q: Given the differential equation dæ? + y = e-bª sin(æ) Propose an appropriate particular solution. Yp...

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Q: JESTIUN 8 Use generating functions to find the number of ways to get a sum of 25 when 10 distinct 6-...

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Q: If the Laplace Transform of F (t) = vi what is the Laplace Transform of is 4s 2 F (t) = e' vt3?

A: Laplace transform of F(t) = et root t3

Q: each

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Q: A spring has natural length 28 cm. Compare the work (in J) w, done in stretching the spring from 28 ...

A: Given:- A spring has natural length 28 cm. Compare the work (in J) W₁ done in stretching the spring ...

Q: (b) State the range of f for the domain given in part (a). f:A B f(x)=(x-1)²+4. (c) Define the set B...

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Q: A cable that weighs 8 Ib/ft is used to lift 700 lb of coal up a mine shaft 400 ft deep. Find the wor...

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Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact 

Q: Determine the Laplace transform of y’’ given y (0) = 4 and y’(0) = 2

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Q: Solve the differential equation with appropriate method. Express final answer with a coefficient of ...

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Q: Given the differential equation, ddy dy 2y = e2 sin(2x) cos(2x), the proposed dz2 dz particular solu...

A: Here we have given particular solution.so we use undermined cofficient to determined the value of A.

Q: dy The equation dæ 1+In(xy) is fırts-order linear exact Bernoulli's equation O homogeneous coefficie...

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Q: Which Riemann sum represents the illustration shown? 3 6. 3 X; · Ax¡ 3 i=1 Xi Ax; 3. X; - Ax; 1//3 2...

A: Given÷

Q: Identify the graph corresponding to the following function (t > 0): y = tu (t – 1) - tu (t – 3) 1 + ...

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Q: Given the differential equation D(D+3) (D+ 1) (D+ 4) y = 0 how many initial conditions are required ...

A: We know that nth order differential equation should have at least n initial conditions in order to g...

Q: Sesame seeds are often used as a garnish in Asian dishes. However, they need to be toasted at 350°F ...

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Q: of the form {((-1) Cnt1)) (nul) / (nt!)} where Let be the set of humbers A is </ement of the wet of ...

A: Given that S is the set of numbers of the form -1(n+1)(n-1)(n+1), where n is an element of the set o...

Q: P2.C: The integral below may be written in the form A cot x + Bx + C. Calculate (A + B)2. 7- 6 sin? ...

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Q: y" +y 4 Sin x 3 = 2X ナ

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Q: The Laplace transform of th is valid for O s>n O s>0

A: The Laplace transform of tn is        Ltn=n!sn+1, for s&gt;0

Q: Find f'(a). 2t + 12 (t) t + 9 f'(a):

A: Given that: f(t)=2t+12t+9