Suppose x and y are functions of third variable t. In the equation *-+) , what are the values of the rate of chang dr espect to t when dt 2 and x=3, at this instant?

Q: the velocity of a particle is the rate of change in the position function over time true or false

A: We have to check

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Q: ; Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: Please refer to the image below.

Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A: To solve the following problem of finding the rate of change in height

Q: What is the rate of change of y = In x at x = 10?

A: Explanation: Given that,  y=lnx   Concept Used: To find the rate of change we will find the…

Q: 4. The organism amoebus rectilineus always maintains the shape of a right triangle whose area is 10°…

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A: Given path functionfx=0.048x-x2

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

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Q: A point P is moving along the line whose equation is y =2x. How fast is the distance between P and…

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Q: A spherical snowball is melting so that its diameter is decreasing at a rate of 0.4 cm/min. At what…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: As the base of the ladder slides away from the house, the rate of change of the height of the ladder…

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Q: A spherical snowball is melting so that its diameter is decreasing at rate of 0.2 cm/min. At what is…

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Q: To compute fxyz, we first take the partial derivative with respect to which variable?

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Q: The slope of a tangent line at a given point on a curve tells the rate of change for the function at…

A: Let the given curve be f(x) -  Then f'(x) will be the slope of a tangent line at a given…

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A: Since you have asked multiple questions, we will solve the first one for you. If you want any…

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 70x + 0.7x² –…

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Q: 5,2 tahing the time demvativo of oq. 1 f> SallA go SAVA

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

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Q: A point is moving along the graph of x3y2 = 200. When the point is at (2, 5), its x-coordinate is…

A: Given that a point is moving along the graph x3y2=200 and it's x-coordinate is changing at the rate…

Q: If f(x) = 12x2 - x3, what is the rate of change of f'(x) at (-1, 13)?

A: We know that, the rate of change of f(x)  is (d/dx) {f(x) }.

Q: Derive a formula that approximates the second derivative of the function sampled at x = 0, 0.01,…

A: Let us assume that second derivative function  f"x0=Afx0+Bfx0-h+Cfx0+2h can be rewritten as…

Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.

Q: The radius of the base of a cylinder is increasing at a rate of 1 meter per hour and the height of…

A: Let , the radius of the cylinder=r meterand the height of the cylinder=h meterGiven…

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A: Surface area of a square prism is given by- A=2a2+4ah where a is side of prism, h is height of…

Q: The volume of a cube decreases at a rate of 0.3 3ft/min. What is the rate of change of the side…

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30 °,…

A: a. let the hypotenuse of the triangle is h. so using the trigonometric ratio formula,…

Q: here is a constant inflow of a liquid into a conical vessel 15 feet deep and 7.5 feet in diameter at…

A: The height of the conical vessel h = 15 feet.  Diameter of the lop d = 7.5 feet,  The radius of the…

Q: A point P is moving along the line whose equation is y = 2x. How fast is the distance between P and…

A: Firstly we find the distance between a random point on the line y = 2x, and then we differentiate…

Q: Let m(x) be the slope of the tangent line to the curve y = 2x° – 6x² + 3x at the point (x, y). Find…

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A: According to the question, we have to find the rate of the x when x=-32, if the rate of change of y…

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Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…

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Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

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Q: Let g(x)=7arctan(5x). What is the instantaneous rate of change of g(x) when x=2?

A: g(x)=7arctan(5x) to find rate differentiate g(x) with respect to x

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

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Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

Q: 6. Use the difference quotient to estimate the 2 instantaneous rate of change in f(x) = x² at x=3…

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