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Q: The function f(x,y) =26-2x²-y² is continuous at point (2, -3). .A True .B False

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Q: Find the linerization  of f(x)=x^3  near x=1 . use that linerization to approximate (1.1)^3

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Q: Water is flowing into a cylindrical tank at the rate of 2 m^3/min. If the radius of the tank is 0.5…

A: Water is flowing into a cylindrical tank at the rate of 2 m3/min.If the radius of the tank is 0.5 m,…

Q: Use the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = - %3D 5+x? (Use decimal…

A: fx=115+x2,a=2;∆x=-12 Now, differentiate the function with respect to x.…

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Q: 2. A man walks across a bridge at the rate of 5 ft/s as a boat passes directly beneath him at10…

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A: Given: f(x)=81+x2

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A: Consider the provided question, x=∫5302000ln150000150000-2100t-9.8tdt                   ......1here…

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Q: Suppose a tank contains 600 gallons of salt water. If pure water flows into the tank at the rate of…

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Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

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Q: The side of a square is increasing at the rate of 0.2 cm/sec . Find the rate of increase of the…

A: we know that the perimeter of the square is with side x is                        P=4x…

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Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1o C for each…

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: The vertical distance covered by a rocket from t 5 to t 30 is given by %3D 30 150000 2000 In 2100r -…

A: Given :-  The vertical distance covered by a rocket from t=5 to t=30s is given by  x = ∫5302000…

Q: Is the function F(x) as given is constant, increasing, or decreasing on the interval (0, ∞)?…

A: Fx=∫x2x1t dt⇒Fx=lntx2x⇒Fx=ln2x-lnx⇒Fx=ln2xx          ∵lnx-lny=lnxy⇒Fx=ln2

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

A: We can sketch the situation roughly as follows. Here, CE and DF both are the positions of the…

Q: - Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = 2 (all…

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Q: Use the linear approximation of f (x) = /x at x = 9 to estimate the value of /9.018. Do not round…

A: Given:      f(x) = √x     x = 9