(d) Find the work done by the force in moving an object from point (-2,4) to point (1, 1) along the curve y = x². The force is given by: F(x, y) =< x³y,x-y>

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Q: 6x +29x5 x² + 8x + 15 identify any horizontal or vertical asymptote as well as any removable…

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Q: 12. f(x) = 2x-5, 14. f(x) = 2x - 5, g(x) = 1 - x g(x) = 5 16. fƒ(x) = √x² − 4, g(x) = - = x² x² + 1

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.)  lim          5-|x|/5+x x→−5

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Q: QUESTION 3 A pot of soup is heated on the stove. When the temperature of the soup reaches 98° C, the…

A: Newtons law of coolinf T( t ) = Ti  + ( T0 - Ti )e-ktwhere T( t ) = temperature at any time t Ti =…

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A: To make a differential equation after eliminating the arbitrary constants. y=c1e-x+c2e2x+c3e-3x

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Q: 4 Evaluate S (x²+y+z²) dv region E with where E is the solid x²y² +2² ≤ 4 and with yo.

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Q: 8. lim f(x) = 1, x→0 lim_ƒ(x) = −2, x 3- lim_ƒ(x) = 2, ƒ(0)=−1, ƒ(3) = 1 x+3+

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Q: Evaluate the double integral over the rectangular region R. [[⁹xy³dA; R = {(x, y): − 1 ≤ x ≤ 1, − 7…

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Q: K Simplify the function algebraically and find the limit. x²+2x-8 lim X→2X²-4x+4 Simplify the given…

A: The given limit is: limx→2x2+2x-8x2-4x+4

Q: in solving the problem. Directions: Find the dy/dx by implicit differentiation. X^2 + y^2 = 100 X^3…

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Q: 1. What is the domain of the function below? x-4 x-2 2. What is the domain of the function below?…

A: To determine the domain each of the function which are given below. (1) fx=x-4x-2 (2) fx=x2-1x+1

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A: given rectangle dimention is  18 in by 30 in  given  cutting out equal square of side x at each…

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Q: ( Use lagnange multipliens to find the extreme values of f(x,y) = y²x² subjed to the constraint x² +…

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Q: Problem 1. Find the standard parametrization of the straight line segment from (3, 5,-2) to (3, 0,…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: given  y=1x4, y=0, x=4, x=8formula for volume is V=2π∫abx(f(x))dx

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A: given   f(x)=4x3+6sin(x)+4cos(x),   at a=4we know  (f-1)'(a)=1f'(f-1(a))

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A: given  C(q)=110q+47700p(q)=-2.7q+830revenue function is  R(q)=q×p(q)

Q: QUESTION 1 Let F(x,y,z)=2yzî+5x2zî+ 1xyk. The magnitude of Curl F at (4,2,1) is equal to: O…

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Q: Using the method of cylindrical shell, set up an integral to find the volume of the solid of…

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Q: 15. Find the area of the figure below which has three 75.0 mm diameter holes drilled out. 784mm оо…

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