Estimate the instantaneous rate of change of y(x) 6. | at the point x = - 3 Your answer should be accurate to at least 3 decimal places. Question Help: Message instructor D Post to forum

Q: Compute Δy/Δx for the interval [4,5] , where y = 4 x − 5. (Use decimal notation. Give your answer…

A: Consider the equation given in the range [4,5] Calculate the value of y at x=4 and x=5.

Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

A: Given that, dθdt=-5.33×10-6(θ+33)-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 θ=27°C when…

Q: Estimate the instantaneous rate of change of h(x)= 5/x−3 at the point x=−3 Your answer should be…

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Q: What do you call the first derivative of the function of distance with respect to time? 25 Impulse…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

A: Given  dθdt=-5.33×10-6θ+33-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 ……………(1) Initial…

Q: Estimate the instantaneous rate of change of y(x) = at the point z = - 1 I +3 Your answer should be…

A: Instantaneous rate of change of function at point is given by , Derivative of function at that point

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Q: Estimate the instantaneous rate of change at x=2. Thank you

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Q: Estimate the instantaneous rate of change of y(t) = 2t - 6 at the point: t = - 3 %3D In other words,…

A: Given yt=2t2−6 and point is t=-3 We have to find the instantaneous rate of change of yt The…

Q: A radioactive material, such as the isotope thorium-234, disintegrates at a rate proportional to the…

A: Given: dQdt=-rQ for Q is the amount present at time t. 100 mg reduce to 82.04 mg in 1 week, the…

Q: 15. Find the average rate of change of the function f(x) - - 3x between the points (-2,14) and…

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Q: A farmer has a field infested with nematodes and wishes to reduce their numbers. She applies an…

A: N'(t)=-43te710 To find out the formula for N(t) we take integral…

Q: 3. A cylinder is being flattened so that its volume does not change. Find the rate of change of the…

A: Volume of cylinder(V) =πr2hsince, volume does not change…

Q: An executive conference roomof a corporation contains 4500 ft3 of air initially free of carbon…

A: Given :           An executive conference room of a corporation contains 4500 ft3 of air initially…

Q: point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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Q: Compute Δy/Δx for the interval [2,6], where y=6x−7 (Use decimal notation. Give your answer to three…

A: Given, The interval [2,6],  y= 6x−7  We have to find ∆y∆x and  the instantaneous rate of change of y…

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Q: A bicyclist is riding on a path modeled by the function f(x) = 0.04(8x − x2 ), where x and f(x) are…

A: The given function is f(x)=0.048x-x2

Q: Please show your answer to 4 decimal places. Find the maximum rate of change of the function f(r, y)…

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Q: dium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: since it is given that, Sodium chlorate crystals are easy to grow in the shape of cubes by allowing…

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Q: A container which has a shape of cone is full of sand. The container stands point down and has a…

A: Given: A cone with fixed top radius, r = 5 cm and height, h = 10 cm; dVdt=-10 m3/min, dhdth=8 cm=?

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm /…

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Q: 3. The radius of a right circular cone is increasing at the rate of 6 cm/sec while its altitude is…

A: Given: The radius of the cone is increasing at the rate of change is 6 cm/sec that is drdt=6, and…

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Q: 5. Find the average rate of change of the function f(x)= cos² x from x =- x = ". Use to - exact…

A: Rate of change=f(b)-f(a)b-a Given:  f(x)=cos2x, x=-π6,π4

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Q: A cylindrical can has a height of 15 mm and an initial radius of 16 mm. The volume of the…

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Q: Molar volume is a function of temperature and the pressure or V = f (T, P) ; and its total…

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Q: y=-sinx . 3π X 2 元 2. 2 N/2

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Q: The tangent line to the graph of y=f(x) at the point (7,55) has the equation y=8x−1 (a) Find f′(7)…

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Q: Graphically, the instantaneous rate of change of a function at a specific x-value can be estimated…

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Q: A water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters. Water…

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Q: Find the instantaneous rate of change of f(x) = x* at x = 3. %3D Find the derivative of g(x) = x + x…

A: 1) Given, f(x)=x2 at x=3 Use the definition of instantaneous rate of change: The instantaneous rate…

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Q: 52° + on the interval [-2, 2]. Find the average rate of change of g(x)

A: Given function is Firstly, we will find g(-2) and g(2)

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases.The most…

A: The rate of change of a function f(t) is the first derivative of f(t) with respect to t.

Q: A hot object is placed in a room whose temperature is 69°F. After 1 minute the temperature of the…

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Q: A particle moves along the curve below. y = sqrt (8+x^3)

A: y=8+x3 Differentiating dydt=12(8+x3)12-1(3x2)dxdtdydt=3x22 8+x3dxdt