Given that x and y are functions of time, find the indicated rate of change. dy when x 2 and dt dx Find 3 y = 16. -4, given that x + dt dy (Round to two decimal places as needed) dt er

Q: 7x ar Find the rate of change of total profit, in dollars, with respect to time where R(x) dx C(x) =…

A: Given that: R(x)=7xC(x)=0.06x2+0.6x+80

Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: We will find the above mentioned as shown below

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

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Q: A particle moves along a horizontal axis and has position given by s(t) t for 0 <t < 6. t – 8 The…

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Q: Given that x and y are functions of time, find the indicated rate of change dx/dt, when x = 2, y =…

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Q: Suppose that x and y are functions of t and the rate of change of the distance x is double the rate…

A: Differential equations

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A: First obtain the derivative of the given equation as follows.

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Q: If a ball is thrown into the air with a velocity of 40 ft/s its height in feet t seconds later is…

A: The height of the ball after t seconds is y=40t-16t2 (a)(i) Average velocity of the ball for the…

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x+4y +4y…

A: The given function,x2+4y2+4y=49; dxdt=2 when x=7 and y=-1

Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

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Q: de Given that Q = find the rate of change of Q with respect to x. sec x %3D Va5+3'

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy *+ 3y…

A: Given, x2+3y2+6y=34    ........(1) And dx/dt =6 , x=5, y=-3.

Q: The distance of a particle from some fixed point is given by the following function. s(t) =t + 4t-3…

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Q: If a ball is thrown in the air with a velocity 48 ft/s, its height in feet t seconds later is given…

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Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: Given that x and y are functions of time, find the indicated rate of change. dx Find when x = 4, y =…

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Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x2 +5y?…

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Q: 1. f(t) = t² – 7 [1,2) 2. g(x) = sin x [0 3. The volume of a cube with sides of length s is given by…

A: For the function y = f (x) between x = a and x = b, the average rate of change is given by…

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx x + 3y? + 6y…

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Q: If a ball is thrown in the air with a velocity 42 ft/s, its height in feet t seconds later is given…

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Q: The temperature T=Txiy) Satisfies Tx Ll7) =2 and Ty (1,7) = -5. in °C at point X,y) If x= e4t-4 cm…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x 1 and…

A: It is given that,

Q: Find the total derivative dy dw. Y=3x+2w+5z x=4 In(w*) z=e43x³

A: Given, y=3x+2w+5z2x=4ln(w2)z=e-z+3x-3

Q: A particle moves on a line away from its initial position so that after t hours it is s = 31 + t…

A: Topic:- Calculus

Q: Water is being drained from a spout in the bottom of a cylindrical tank. According to the…

A: Given  , Rate if drain: dV/dt = - 1.8L/min By integrating the equation we get the volume.

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

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Q: A particle moves on a line away from its initial position so that after t hours it is s = 2r +t…

A: Given s=2t2+1We know that average…

Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away…

A:

Q: (а) The flow (in cm³/s ) of blood from an artery into a small capillary can be modeled by CTx…

A: Given - The flow of blood from an artery into a small capillary can be modeled by Fx, y, z = cπx24y…

Q: dy when x = 4 if for a point moving along the graph of the function y =6x +3 the value of dt dx Use…

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Q: An object moves with velocity function v(t) = t'/>, for 0 < t < 3 seconds. What is the object's…

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Q: If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later is…

A: The ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later…

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dx dy x? + 5y?…

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Q: 1. Find the rate.c.change f f.at.P.in.the disectod the.vectoc ūif: f.=ylnx. P.(I,-32... d.. .....…

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Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 4 and dt dx…

A: First obtain the derivative of the given equation as follows.

Q: Find dy for the given values of x and Ax. 13 y= 4x" - 2x; x = -2; Ax= 0.3 What is the derivative of…

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Q: A kite is rising vertically at a constant speed of 2 m/s from a location at ground level, which is 8…

A: We use trigonometry formula of right angle triangle to solve the problem.

Q: dx 1 tent per day, dt the rate at which the total average number of COVID cases is increasing at x =…

A: Given,           The rate at which the total average of COVID cases is increasing at x = 10 tents…

Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

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Q: Find dy for the given values of x and Ax. y = /2x + 5;x = 3; Ax = 0.13 What is the derivative of y =…

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Q: The volume V of a sphere of radius r changes over time t. a. Find an equation relating dV&gt;dt to…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: *to find:- rate of change of total revenue. rate of change of cost. rate of change of profit.…

Q: A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.7 m/s.…

A: At t=0, x=1.5 m dxdt=0.7 m/s ∴xt=tdxdt+x0x2=2×0.7+1.5=&gt;x2=2.9 m

Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

Q: Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given…

A: Consider the given equation

Q: Given that x and y are functions of time, find the indicated rate of change. dx when y = 3 and dt dy…

A: Note: sorry for unconvince. As per our guidelines we should solve only 1st question. So please…

Q: Find dy for the given values of x and Ax. y=2x+9; x 1, Ax 0.12 What is the derivative of y = 2x +9?…

A: We have to solve

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: