2. Find the area between the curve x= - y +y + 2 and the y- axis.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) F(t) = 4t3 %3D L{f(t)} %3...

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Q: 2. If y = xlnx,

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Q: Effect of Advertising on Sales Metro Department Store found that t weeks after the end of a sales pr...

A: S(t)=B+Ae-ktB=46000(a) at t=1, S(1)=8451084510=46000+Ae-kAe-k=38510  →(1)at t=3, S(3)=6167061670=460...

Q: Evaluate the following series two ways: 4 4 3k k=1 3k+1 (a) Using a telescoping series argument. (b)...

A: Given that ∑k=1∞ 43k-43k+1a.431-432+432-433+433-434+434-435+......+43k-43k+1=431-43k+1=431-43∞+1=43

Q: Determine whether the seovence converges er diverges.Rconverges, nd the me the sequence diverges, en...

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Q: If f(x) = 4x – 6, find the inverse function. f(x) =

A: Topic:- function 

Q: (b) For the matrix 1 -2 A = 3 -2 -1 \12 3 -5. (i) (ii) (ii) Determine the characteristic equation an...

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Q: Find the linearization L(x,y) of the function f(x,y) = e (X cos (5y) at the points (0,0) and 0,- 2

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: y = ² + 3 in the Cartesian form y t Express the parametric f(x). curve x t+7

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Q: Calculus

A: Topic:- calculus

Q: Use the Laplace transform to solve the given initial-value problem. y" + 4y' + 3y = 0, y(0) = 1, y'(...

A: We have to solve above Laplace transformation 

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

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Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: 6. |x²e-2*dx

A: Solved below

Q: e dx

A: Definite integration

Q: 8. Is the given point a Solution to this graph? (1,3) 1. -3 1- 3.

A: The solution of the given graph is at the point of intersection of the two lines.  

Q: Find the limit. Use l'Hospital's Rule where appropriate ex + e-X - 2 lim x-0 ex – x – 1

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Q: .Evalnate. the following.denble.integral.s.by.conver.ting. bo ... polar.Coa.r.dinates. .... Ans: 36 ...

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Q: a) lim x-3 x+1 x2 – 4x + 4 b) lim x-2 x2 +x - 6 y? – 4y – 21 c) lim y-7 3y2 – 17y – 28 t3 +t2 – 5t +...

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: -2 sin x where y () = 7 dx O y = 2 cos x + C O y = -2 cos x + C

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Q: x - 3x?y = C

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radi...

A: The objectives to find the angle between the vectors in radians and degrees.

Q: For the demand function q= D(p) = 422- p, find the following. a) The elasticity b) The elasticity at...

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Q: Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume t...

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Q: f(x) = ex, a = 1 f and T, on the same screen. y y 3 -1 -1 1 -4 -3 1 y

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Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

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Q: Evaluate the following indefinite integral (sin z)(tan z) dr. cos I

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Q: Part C lim, -3 h (x), if h (x) : Vx² + 6x + 9 x + 3

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Q: Define f(x, y) = 9a? + y². (1) Sketch the level curve of this function for z=36. Draw it on an xy-pl...

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Q: Suppose that f(0) = -5 and f'(x) < 4 for all values of x. Use the Mean Value Theorem to determine ho...

A: Question- Suppose that f(0) = - 5 and f'(x)&lt;=4 for all values of x. Use the Mean Value Theorem to...

Q: Let f(x) = x and compute the Riemann sum of f over the interval [7,8], using the following number of...

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Q: 14) 3sin 0 = V3 sin 0 + 3cos 0 + 3sin 0 %3D

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Q: Determine where the function is concave upward. ​   ​f(x)x^4-2x^3+7x+5

A: Given: - The function is, f(x)=x4-2x3+7x+5 To determine: - The concave upward of the given function.

Q: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is...

A: Given: Notice that f''(x)=6x2. Graph:

Q: Test the series for convergence or divergence

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Q: 2. Integrating factor by inspection: Solve the equation: (y – xy²) dx + (x + x?y²) dy = 0 O = In y –...

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Q: Sketch the region bounded by the given curves, then find its area. 2. x = y2, x = y +6

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Q: e are given the logarithmic function fx) = In(/x + 6). We note that this function is of the form In(...

A: Differentiation 

Q: 2k-13k+1 6–1 00 kk k=1

A: Answer is given below.

Q: (a) Using a function of the form y = a*b^x, with x = 0 in 1900 and y equal to the national debt in b...

A: Here are the answers  1) y=1.595(1.086)x  2) 29522.6038 3) 2034  Here is the complete answer for the...

Q: Evaluate each of the following: 1 1. ſ cot 2v dv 6. S tanzã sec*vã 2. S tan* dr 2 csc*ny 3. S(tan 5w...

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Q: Consider the surface. z2 = 25y %3D Identify the surface. O cylindrical surface O paraboloid O hyperb...

A: We have to identify the surface z2=25y.

Q: etermine if the series is convergent or divergent. Show your work, and clearly state the test used n...

A: To test the convergence of given series.

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: TE: Enter the exact answers in terms of i,j and k. Same direction as – 3i + 5j. u = Oppositely direc...

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Q: n 1.3.5. ...· (2n – 1) 5nn! n=1

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Q: Assume that the function f is a one-to-one function. (a) If ƒ(6) = 2, find f'(2). Your answer is (b)...

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