Find curl (4zi + 5x j + 6yk). url(4zi + 5x j + 6y k) = (i )i + (i )j + ( i

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let / be a function defined for t20. Then…

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Q: did i type this in right?

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Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

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A: Arc length formula L=∫ab1+x'2dy

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Q: 35a. Use long division to derive the first four non-zero terms of the Maclaurin Series for f(x) =…

A: The required Maclaurin Series for the function f(x)=tan x are: 1.  sin x=x-x33!+x55!-x77!+x99!-...…

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Q: Use Theorem 7.1.1 to find (ft)). (Write your answer as a function of s.) f(t) = (et-e-t)² L{F(t))

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Q: Describe the surface with equation The surface is a sphere with center { i x² + y² +2²³ + 10x + 6y +…

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

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Q: Find the area shared by the circle r=1 and r=2cos(theta)

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Q: Let F(x) = f(t) dt and G(x) = g(t) dt, where the graphs of f(x) and g(x) on [−2, 4] are below. -1…

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Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

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Q: * Incorrect. If y, and y₂ are linearly independent solutions of t²y" + 3y +(4+t)y = 0 and if W(y₁,…

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Q: Verify the identity. (Simplify at each step.) 2 cos² B - 2 sin² ß = 2-4 sin² B 2 cos² B-2 sin² B =…

A: The given identity, 2cos2β-2sin2β=2-4sin2β

Q: Verify the identity. (Simplify at each step.) 8 cos(sin-¹(x)) = √64 - 64x² Let 8 = sin ¹(x) = sin(0)…

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Q: Solve the following equations. 1) tan² x + 2 secr-7=0 if re [0, 2π)

A: We have to solve the equation tan2x + 2 sec x - 7 = 0   if  x ∈ [ 0, 2π).

Q: 3 3. Evaluate II 3i]= i=1

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Q: Question 11 For f(x, y) = sin(9xy). evaluate f at the point (2, ○ fx (2. =) = 0 (2²)-18 © ƒ, (2. )…

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Q: (22) Graph f(x) = e. (23) Let f(x) = e. Then, it is an • limx→∞ f (x) = and lim (24) Find lim, f(x)…

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Q: Use substitution and partial fractions to find the indefinite integral. 1. Step 1 √x X - 49 dx Let u…

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Q: 1 b) x 2. If f(x)=x(2 In x-3) Find f'(x) 24/mx-4x

A: #2 Given, f(x)=x22 ln x-3

Q: final

A: Please refer to the image below

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A: To find f''12, when fx=2x+3.To round the answer to three decimal places.

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Q: Evaluate the definite integral. [2²5 ( x - 11/12) 0x dx 4

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Q: 9. The table below gives selected values for the function f(x). With 5 rectangles, using the left…

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Q: Fill in the blank. (Enter your answer in terms of t.) 1 ^{2} [

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Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: Refer to the model Q(t)=Qe -0.000121/ used for radiocarbon dating. At an archeological site,…

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Q: 7 Find f(x) if f'(x)= and f(1) = 4. X 7 --x-3+19 O B. f(x)= -28x-5 +32 7 O c. f(x)= 3 O A. f(x) =…

A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

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Q: 1 Find the linearization of the function f(x) = 5x+4 atz-1.

A: The given function fx=15x+4 at x=-1

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