2. A spring is 10 cm long when not stretched. If it takes 120 N to stretch it from its resting position of 10 cm to a position of 35 cm, how much work is done to stretch it that far?

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Q: Please can you help me witht he diferential geometry question I'm finding quite difficult

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Q: 4 4 Use the fact that the derivative of the function f(x) == x is f'(x)= to find the equation of the…

A: The equation of the tangent line to the graph of f(x) at the point x=-9 is y=81−4​x−98​Explanation:

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Q: 1. Find the work done when a non-constant force of F(x) = object from 2 m to 6 m. = 200 x2 N is used…

A: To find the work done when a non-constant force of  N is used to move an object from 2 m to 6 m.

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A: The curve y=4−x2​ is a circle with radius 2 Squaring it, we get x2+y2=4The lines x=0 is the y-axis…

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A: Left Hand Lmit:  As x approaches 9 from the left side, the graph of the function f(x) approaches the…

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Q: Find the average rate of change for the following function. 2 f(x)=5x³-3x² + 2 between x = -2 and x…

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Q: 2. Area of a circle: Consider the polar equation r = 2Rsine. Sketch the graph and note the limits…

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Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

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Q: Precalculus Question(5)

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

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A: Given points: (10, 19000) and (9, 23000)Calculate slope m: (23000−19000)​/9-10=−4000Use slope m and…

Q: R 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9 ≤ x² + y² ≤ 25 by…

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Q: Find f'(x) using the QUOTIENT RULE if f'(x) = Find f'(3). f'(3) = = f(x) 6-x² 6+ x2

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Q: Find the indefinite integral and check the results by differentiation

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Q: Find the average rate of change for the following function. f(x)=5x³-3x²+2 between x = -2 and x = 3…

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = √1-x2 f(x) = 1 + DO…

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Q: Use determinants to find the area of the triangle with vertices (0,0), (3, 5) and (2, -1) in R².

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Q: Determine whether the sequence converges or diverges, if it converges, find the limit.  an=…

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Q: Precalculus Question (6)

A: Answer (g):  No Answer (h):  YesExplanation:Question (g):No, it is not possible for the graph of a…

Q: An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…

A: GivenLength of fence, DE=8ftDistance of fence from the wall BD=22ftLet length of the ladder L…

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

A: The expression for the mass of the lamina body is:The expression for the center of mass is: