Determine the work done by the force F➝(x,y,z)=(−yz,xz,xy). to move a particle along the ellipse x2+9y2=36, at the point z=2, oriented counterclockwise.

Q: Activity 10.6.2 Let f(x, y) = 3xy – x²y³. a. Determine fx (x, y) and fy(x, y).

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Q: a) Consider the first order differential equation (+²¹² + 1) dy-0 ry'dr + By multiplying the…

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Q: 10. ff(e²x + x²)dx

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Q: For the differential equation dQ dt = 5(Q-2) which of the following is true? OQ (t) will be…

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Q: The position of a particle moving in the xy-plane is given by the parametric equations x(t) = 3t5 -…

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Q: Sketch a graph of the domain region for f(x, y) = ln(x + 2y² + 1) using the steps below as a guide.…

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Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function ave T(t)…

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Q: Solve the given equation by the zero-factor property. 9x² + 12x+4=0

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Q: 6. x = √5-y, y = 0, x = 0; about the y-axis

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: -10 МА 5 10 2 X

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

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Q: -2 Which of the following properties are used when rewriting the expression 2a O same base product…

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Q: please show all the steps

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Q: Consider the following vector function. r(t) = (2√2t, e²², e-20) (a) Find the unit tangent and unit…

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Q: 4. A variable force of 4√ newtons moves a particle along a straight path when it is a meters from…

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Q: Subtract the following polynomials. Simplify your answer. (4x^(2)+2x-4)-(-5-4x+4x^(2)+x^(3))

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Q: The following integral represents the volume of a solid of revolution. Describe the solid. #f'(x1¹²_…

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Q: If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height above the ground…

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Q: A company makes three sizes of cardboard boxes: small, medium, and large. It costs $1.50 to make a…

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Q: Solve (cosa + ln y)dx + Y +edy = 0

A: To solve the following differential equation.  cos x+ln y dx+xy+ey dy=0

Q: Using the Quadratic Equation, solve the following for X: 4X² + 5X+6=0

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Q: B6 18+ 76 13. Domain: 15. End Behavior: 16. Find f(1) 18. Zeros: 20. Absolute Maximum: 22. Relative…

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Q: There are several ways to write Newton's Law of Heating and Cooling. If an object is at temperature…

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Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 6x + 7 g(x) = x² + 3x + 8 f(g(x)): =…

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Q: iven the geometric sequence: 30 11' nd a formula for the n-th term: ao = 10, a₁ An a2 90 121

A: Given query is to find the nth term.

Q: Use the substitution formula 2п (a) ļ V COS Z 2 + sin z dz ff(g(x))g' g(x))g'(x)dx= [ f(u)du where…

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Q: The limit below represents a derivative f'(a). Find f(x) and a. (6+h)² - 36 h f(x) = a lim h→0

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Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim…

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Q: What is the 84th term of the arithmetic sequence? −1286,−1269,−1252,−1235,−1218,... Enter your…

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Q: Suppose f and g are continuous functions such that g(9) = 3 and lim [3f(x) + f(x)g(x)] = 30. Find…

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Q: (a) Find the slope of the tangent line to the graph y = f(x) when a = 1. - (²)) = ( lim h >0 Slope =…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: f(-2+h)-f(-2) lim h→0 h where f(x) = 8x² + 6. t

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Q: Use the table to below to answer questions for 19-27. -3 -2 -1 3 7 -1 0 -8 X f(x) 11 g(x) -8 9 -3 0…

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Q: Find an equation of the line that passes through the given point and has the indicated slope m.…

A: To find an equation of the line that passes through the given point and has the indicated slope m.…

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 7 1 10 2 3…

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Q: Evaluate the indefinite integral 5 dx x²√x²+36

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Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Given equation:- s=2sinπt+2cosπt As we know Average rate of change of function fx over interval…

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an n! 24n

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Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n! 42n…

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Q: 25. y = 3, y = 1 + secx, - π/4 X π/4 about y = 1 Answer 2 (3-√3) (-3) y = 3 y=1+ secx

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: K 7 $ my instructor 4 FEB 6 An accessories company finds that the cost and revenue, in dollars, of…

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Q: _et f(x) = 2-x 3 (-(x-1)² if x1

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Q: Find a + b, 2a + 3b, |a], and la – bl. a = 5i - 6j + 5k, b = 2j - k a + b = 2a + 3b = |a| = |a - b =

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: 间 Chapter 10.7, Problem 3E Find the limit. 3. lim (e-3ti+ · (e-³¹ ₁ + 1/7j+( 1-0 sin j+cos 2tk)

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Q: The first term of a geometric sequence is 48, and the 5th term of the sequence is 243 16 What are…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 3x - x² and y = 0…

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Q: If y=6x + 4 5 X The value of find dy dx dy dx at x = 1. at x = 1 is (Simplify your answer.)

A: Given query is to find derivative at indicated point.