Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given that x 8y3-208. when y 3 and dt Find dt ts dx (Round to two decimal places as needed) dt onter Resc

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

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A: We will find the above mentioned as shown below

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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, y…

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A: Differential equations

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

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Q: Find dy/ dx, where y is defined as a function of x implicitly by the equation below. −6x 4+2y4 =11…

A: Consider the function that defines y  as a function of x implicitly by the equation

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A: Introduction: In calculus, a function's derivative measures how sensitively its output value changes…

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

A: Compute the value of y as follows.Substitute x = 2 in x3 + y3 = 16.

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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: Cet f(x) =. 1 %3D (a) Find the slope of the tangent line to y = f(x) at ¤ = 2. Fad At what rate are…

A: Topic:- application of derivatives

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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,

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A: The given expression iswt=9.59+1.05t-0.0049t2+0.000224t3.

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Q: 4) For the function p = x2y+ yz at the point (1,2,-1), find its rate of change with distance in the…

A: Given data: Function:

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: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −4x2 +3x+4=y2…

A: We have to find dy/dx of curve  (implicitly).Curve equation is given by:

Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

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. 3 2 y = x° - 3x + 5; x = 1; Ax = - 0.1 What is the…

A: Given: y=x3-3x2+5 ; x=1; ∆x=-0.1

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: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x^2+y^6=1

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −y2 +y+3=−3x2…

A: We have to find dy/dx implicitly of curve equation.Curve equation is given by:

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: yx  = xy + xlny      for the function given as dy/dx Find its derivative. (x,y) = (1,e2)    What is…

A: Solution:

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: The tangent line to the graph of y = f(x) at the point (8, 9) has the equation y = 2x – 7. %3D (a)…

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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: Differentiate the following function. y= 3 e*(3+5e*)? dy dx

A: According to the product rule of differentiation we have: ddxf(x)·g(x)=f(x)·g'(x)+g(x)·f'(x)

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

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Q: The position of a moving particle is given by s(t) =t - 3t + 6 on the interval 0<t<6, where 's' is…

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