Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O 30j-216k O 110j + 1000k

Q: Problem 5: ( (a) Find the vertical asymptotes of the function Y 2² +1 3.r-2.r²

A: Given: a)     y=x2+13x-2x2 For rational functions,the vertical asymptotes are the undefined…

Q: I believe there is an error in the solution to this problem. The graph has the y value for 9 as 10…

A: Yes you are correct. I am posting the correct answer with necessary changes.

Q: For items 1 to 10, determine 1. y = 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√√x 3. y = e-sinz 2. y=-- (A)…

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Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…

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Q: Find the partial fraction decomposition of A. B. 1 3 x+1 (x+1) 1 3 +1 (x+1) + 1 1 -2 1.2 x - 2 9…

A: We have to find the partial fraction decomposition.

Q: Consider the given function and the given interval. f(x)=(x-3)², [1,4] (a) Find the average value…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find the area of the region enclosed by the graphs of y = tan (x), y = - tan (x), x x = 1/3. = (Use…

A: Given y=tanx y=-tanx and x=π3

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: After using Long Division then decomposition into partial fractions (without evaluating the…

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Q: D. (Bernoulli Differential Equation) Find the general (or particular) solution of the given…

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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: JAJ 3 2 1 1 -2 4 A = 10 13 =3(4+6)-2(0+2)+1 = 3 라 = 30-5-25 1-2 = 3 3 4 soat w -21 4 0 -2 3 4 10 -21…

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Q: Find the area of the region enclosed by the graphs of x + y = 7 and √x + √√y = √7. (Use symbolic…

A: This question is based on application of integration.

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: A parabola can be drawn given a focus of (-4,-10) and a directrix of y = -2. Write the equation of…

A: I am attaching image so that you understand each and every step.

Q: || + 3 вн f(t) dr = 3 f(t) +

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Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. the measure of the…

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Q: 2-₁ {2+-+5} 25. Evaluate L-1 (a) et+e-3t U (b) 2e-t+11e-3t (c) 2e- +11te-3t (d) e-t+11te-3t

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

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Q: Evaluate:Z-¹ { ¹(s+2)²-49 }

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Q: b. y − y'cosx = y2 (1 – senx)cosx

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Q: 3. What is the form of y, given (D² +9)y = cos3x Asinx + Bcosx Asin3x + Bcos3x A. Yp B. Yp C. D. Yp…

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: VOLUMES OF REVOLUTION 1. Find the volume generated by revolving the area enclosed by the curve 4y² =…

A: Let's find volume of solid.

Q: Determine the equation of the ellipse with center (6, -6), a vertex at (13, -6), and a co-vertex at…

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Q: Find the Taylor polynomial of degree 2 centered at x = e for the function defined by ƒ(x)=x² lnx.

A: Solve the following

Q: . Find the y-coordinate of the centroid of the region bounded by y=x^2, y = 0, and x = 1. a. 2/3 b.…

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Q: CO Find the largest open interval where the function is changing as requested. Where f(x)= x3 - 4x…

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Q: Find the exact value of COS 2x given that sin x III. 3 and is in quadrant

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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: Use the Laplace transform to solve the given system of differential equations. dx dt dy = 5x - y dt…

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Q: Example 6: Show that a a² 1 b b2 b c c2 Solution: L.H.S a a2 = = - (b - c) (c - a) (a - b) c 1 b b2…

A: Topic = Determinant

Q: Prove that if A and B are sets, then A - B = An BC.

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Q: Identify the rational function with smallest degree in the numerator and denominator whose graph…

A: To identify the rational function with smallest degree in the numerator and denominator whose graph…

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: - Problem 2: x³y"" − 3x²y" + 6xy' - 12y = 2x¹ + lnx

A: The given differential equation is;  x3y'''-3x2y''+6xy'-12y=2x4+lnx.

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

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Q: 5. S 3x - 4 3 2 X N +2 dx

A: The given integral is (3x4-4)/[x3(x2+2)].

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: Find the unit tangent vector T, the principal unit normal vector N, and the unit binormal vector B…

A: Consider the curve     Ct: rt =cost,sint,t (i) unit tangent vector                  The unit tangent…

Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: A differentiable function f has only one critical number at x = 5. What can we say about this point…

A: If first derivative is negative on left side of critical point and positive on right side, then it…

Q: OA. x=0 and x = 3 OB. x=0 OC. x=3 OD. There are no points where the function is discontinuous.

A: Follow the procedure given below.

Q: Calculus

A: Topic:- sequence and series

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: A population P, is increasing proportional to (400 - P), and P never gets larger than 400. At t = 0…

A: Solved below

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

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Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

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Q: f(x) = x4 – 8x2

A: Topic:- calculus

Q: Q1. Find the derivative of the following functions. a) G(x) = √²+3d f et -dt et b). H(x) = plnx +²…

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Q: 2-Consider the function defined by the base i) Find dz (ii) Prove that x дz ?x - дz ду z =…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…