Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle with vertices at (0,1,0), (0,1,5), (3,1,0) with orientation given by taking the vertices in the order given.

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

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Q: Determine the solution of the following differential equation d) xy' + (1+x)y = ex sin(2x)

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A: The given differential equation D2+2D6+7D5+14D4+8D3+16D2-16D-32y=0. We have to find the general…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 6 between x =…

A: The function is given as f(x) = 6x+6

Q: Use Variation of Parameter to find a particular solution for y"-4y'-12y=x

A: The given differential equation:y''-4y'-12y=xWe need to find the particular solution using variation…

Q: Find the polar equation of the hyperbola xy = 4.

A: Given query is to find the polar equation.

Q: the correct answer is b

A: Please see the below picture for detailed solution.

Q: In the diagram below, find b to the nearest tenth. A 4.5 4.2 4.4 4.1 b =? 60° a = 5 50° B

A: We can find the value of b in the below steps, using sin law.

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Q: dy y=-3 tan(-x-4) 17.Determine the derivative dx for

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Q: sketch the region bounded by given curves and find the area a. f(x)=cos(x) and g(x) =sin(x) between…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: X Y 1 844 2 1259 3 1665 4 2314 5 3415 6 4517 Use regression to find an exponential equation that…

A: NOTE: Refresh your page if you can't see any equations. . X Y 1 844 2 1259 3 1665 4 2314…

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Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 26…

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Q: 11. a =(3, 1); b =(− 6, − 2). Evaluate 2 12. a =(3, 1); b =(-6, -2). 3(a - b) Evaluate 3 a-b

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Q: . Find t pointin

A: According to bartleby guidelines we supposed to do the firstr one of multiple questions kindly…

Q: Consider the parametric equations below. x=3t-2, y = 2t+4 (a) Sketch the curve by using the…

A: We are required toa. graph the parametric equation x=3t-2,y=2t+4b. find the cartesian equation of…

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Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: Question 9 The solution of the differential equation2"-5xy' + 5y = 0 is y=c₁x cos(2nx) +c₂x sin(2…

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Q: a²u əxəy ди dx = pt when x = 0, u = siny+ 3y² + 1 =e*cosy + 2xy when y = 0,

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Q: 11 X N

A: here , we have graph of function f , then we have to find the interval in which function is concave…

Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: d) xy' + (1+x)y=e* sin(2x)

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Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: 4) f(x²+2) lnx dx = a) (+x) Inx--x+c b) (+2x) inx--2x+c c) (x² + 2) lnx--2x+c d) None of the above

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Q: An open box is to be constructed so that the length of the base is 5 times larger than the width of…

A: Here Length=l ft width = w ft height=h ft

Q: sin² 4y dy

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Q: (3) Consider f(x) = 2x³ + x² - 4x + 1 (a) Find decreasing and increasing intervals of f(x) f'(x) =…

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Q: [₁ dx -1 |x| lim a➜-1+ lim 04-0 dx +- ² + ! lim b+0+ = L lim -0---0 + lim |x| b→1 |x| Soº a de S dx…

A: The objective is to find the correct option.

Q: ← dy (a) Show that y* +x-6=0 is an implicit solution to dx Part 5 of 6 1 on the interval (-∞,6). 4y…

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Q: 1+ csc x cos x + cotx

A: Given query is to simplify the expression.

Q: U. Solve the given equation 1) sec x(2 sin x-√2)=0 T Answer: x==+2nk, 4 TT ak 3π x== +2 4

A: Given query is to find the solution of the expression.

Q: 2. Use partial fraction decomposition to evaluate the integral: Sax 2x-1 (x-2)(x+6) -dx

A: By partial fraction decomposition, (2x-1)/(x-2)(x+6) = A/(x-2) + B/(x+6) ,A,B are constants. So,…

Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: Given the homogeneous differential equation: y (4) + 3y "- 4y=0 What is its auxiliary equation?…

A: Given that the homogeneous differential equation is y(4) + 3y" - 4y = 0 . Here we have to find its…

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Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: Find the most general antiderivative or indefinite integral. Check your answers by (cos (cos 7x -…

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Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: 1) The derivative of y = esec-12x, x > 0 is: a) 2e³ec-¹2x x√4x²-1 esec-12x b) x√4x²-1 C) x√16x²-1 d)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the function f(x) = 6x2−4x+ 5 and the interval 1 ≤x ≤6. Find the number c that satisfies…

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Q: Find the singular values 01 202 203 of 01 = 4. A = -4 09 ] -9 0-4

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Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius