Use Theorem 7.1.1 to find £{f(t)}. (Write your answer as a function of s.) f(t) = e' sinht L{f(t)} %D

Q: Find the general Solution of the Partial differential equation (xz + yz)p+ (xz- yz)q = x' + y?

A: This is Lagrang's linear equation so solve using auxiliary equation. 

Q: 4) Find 2 5(5-3)

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Q: Help

A: Please refer to the image below

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A: Solved below

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Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c...

A: The integration of the integral is  (2+7sin3x) /cos2x. 

Q: Solve the differntial equation by integration x? dy + 3xy=x4

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Q: Read Theorem 6.2 in the textbooke. Suppose that E cn an is a power series with interval of convergen...

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Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: Prove using the formal definition of limit that lim c = c. xa

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: Given problem:-

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

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Q: Find the area of the triangle with vertices P(1,5, -3), Q(0,0,0) and R(3, 4, 1). | NOTE: Enter the e...

A: given vetrices P(1,5,-3), Q(0,0,0) and R(3,4,1)

Q: 9. xy' + y = /x 10. y' + y = sin(e*)

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Q: entiable at x = 1. What is f_(1)?

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Q: Let f be the function defined by f (æ) = Which of the following is the Maclaurin series for f'? %3D ...

A: The objective is to find the maclaurin series of  f'.

Q: Evaluate the improper integral e-1/x dx

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Q: Activity 3: Find and simply the result, if possible. a. y = V - b. y = x² + n² + x* C. y = x² secx s...

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

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Q: Find a general solution of y" (-2-2 i3)y. y(x) =

A: The given differential equation is  y'' = (- 2 - 2i√3)y or, y'' - (- 2 - 2i√3) = 0 or, (D2 + 2 + 2i√...

Q: how the derivation of formula for the conversion from spherical coordinates to rectangular pordinate...

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Q: How far from the x-axis is the centroid of the area bounded by the curve y = 8x, the y-axis and the ...

A: Solution is given below:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 4 and a root of multiplicity 1...

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Q: 10. Fill in the blanks A 50 gallon storage tank initially holds a saltwater solution containing 100 ...

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Q: Consider the parallelepiped with adjacent edges u = 7i + 4j + k v = i+j+9k w =i+8j + 8k Find the vol...

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Q: If a(1) = 2, and a(k) = 5a(k-1) for all integers k >= 2, then what is the 4th term of the sequence? ...

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Q: - Trigonometric Integrals S cos 3x cos 5x dx

A: Solved below

Q: entiable at x = 1. What is f'(1)?

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Q: g(z) = 2z7 – e² ln(z)

A: Find your answer below 

Q: 7. у' — х — у

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Q: Write the solution statement for all of the solutions to the equation –5sec(θ) = 10. Show your work...

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Q: anx" + + a1x + ao An 4. If f(x) = bn with an #0 and b, #0, show that lim f(x)% = ... %3D .. + b1x + ...

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing...

Q: RX)=5x and C(x)3D0.001x+2.6x+7O,

A: answer of given question is in step 2

Q: 4. Determine if g is differentiable at x = 0 if 2 cos-1 x, if -1<x < 0 g(x) = %3D if x 2 0. x + cos ...

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Q: In the question that follows, the "units digit" of a number is the last digit in decimal representat...

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Q: 1+2+...+n 2. Let n be a positive integer. Evaluate lim if possible. If not possible, explain n2 n 00...

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Q: Find the volume of the solid generated by revolving about the x-axis the portion of the plane bounde...

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Q: Suppose that the total cost (in dollars) for a product is given by C(x) 1700 + 160 In(2x + 1) where ...

A: To find the marginal cost function.

Q: Determine the coordinate of the centroid bounded by curves of the polynomial functions y = #³ – z an...

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Q: 12) Find the volume of the solid bounded by x² +y² = 4 and z=x+y in the first octant.

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Q: Consider the limit 20. (ze/* - a). z05/= - a). a) What type of indeterminate form is this? O 0.00 O ...

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Q: Suppose that the total cost (in dollars) for a product is given by C(x) = 1700 + 160 In(2x + 1) wher...

A: topic- functions and derivatives

Q: a. A x, y =x b. As x2,y- C. As x, y=x²+ 3x →. d. As x , y=-3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide ...

Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the l...

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Q: Determine the length of the arc on a circle 22 + y? 100 from x = 3 to x = 5 in the quadrant IV. O 1....

A: according to our guidelines we can answer only one question and rest can be reposted. 

Q: Solve the initial-value problem

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Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x) (tanh 2+v9) + 2 csc-1 (tan(y + 1)...

A: Implicit differentiation

Q: Find each of the following derivatives. g(2) = 2:7 – e* In(z) f(t) = In(ct+3) + cos(3*) 1 g(x) = 2* ...

A: This question can be solved using sum rule,product rule and chain rule of derivatives.

Q: Consider the following power series: 00 n (5-2x)" Σ 2n + 1 n=1 Show that the series is conditionally...

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