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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: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

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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 will find the above mentioned as shown below

Q: s(t) = %3D v(t) = (b) Determine the average velocity on the interval [3, 4]. ft/s (c) Find the…

A: " Since you have posted a question with multiple sub - parts, we will solve first three sub-parts…

Q: dA The variablesr and A are related by A = r²t. The rate of change of the radius is 1. Find dt when…

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Q: a) Find the average velocity for the time peric when t = 2 and lasting (i) 0.5 seconds (ii) 0.1…

A: Since you have asked multiple part question, we will solve the first3 part of the question for you…

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 weight of a limb of a tree is given by W = 3t°-444, where t is time. Find the relative rate of…

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Q: For a given table 6. 10 14 y 4 12 Find the value of at x = 2 using forward difference formula. dy dx…

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Q: A rectangular water tank is being filled at the constant rate of 35lt/s. The base of the tank has…

A: From the above information,  A rectangular water tank is filled at the constant rate, dVdt=35 lt/sec…

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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: mm? Let f (x) = vx .Find the equation of the tangent line to f(x) at x = 30. Using the linear…

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Q: Ir the instantaneous rate of change of x) at (,-9) is 7, write the equation of the line tangent to…

A: The given question can be solved as shown in step2.

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: 10. Di's velocity, in miles per hour, t minutes after entering the interstate highway is given by 3…

A: We have given the velocity function

Q: 3T? What is the average rate of change of the following function between x =T and f(2) = 2 sin (z- )…

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Q: Find the averags vaha of change ef -+2over achof mal ta) From 2 to D) From to 2 {e) Fiem 0 ta 3 ta)…

A: Given function is fx=-2x2+2. To find: The average rate of change of function over the given…

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: 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: dv = 312 + dt 3. The rate of change of the volume of a balloon is given by 4 cubic feet per sec. If,…

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Q: that its value V(t), in dollars, after t years, is given by V(t) = 2600e¬0.09t a) What did the drum…

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Q: The power delivered by a battery to an apparatus of resistance R (in ohms) is P = 2.25R/(R + 0.5)2…

A: Given, P=2.25RR+0.52 wattW

Q: F(x) = 40 e^{.06 t}. What is the average rate of change of LaTeX: f over the interval LaTeX: [0,3]?…

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Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: dx In the equation, x2 +y2 = 45, what is the value of the rate of change in y with respect to time t…

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Q: With the given equation y = x² + 1. Find the average rate of change of y with respect to x over t…

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Q: s(t) =r? + 3t – 4 a. What is the average rate of change of s(t) over the interval 3 to 4?

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Q: The displacement (in meters) of a particle moving in a straight line is given by s = t? – 3t + 10…

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

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: 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: dx Given the revenue and cost functions R(x) = 26x -0.3x2 and C(x) = 4x + 14, where x is the daily…

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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: For the function y=x√ find the values of x for which the rate of change of y with respect to x is 6?…

A: Given: y=xx ⇒y = x32 Rate of change of y with respect to x is defined as dydx

Q: XVII. For w = x³ + xy² +yz, find the rate of change of w at point (1,2,3) in the direction towards…

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Q: Let r(t) = . a. Find the average rate of change of r(t) on the interval [-(pi/4),(pi/4)].

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Q: Let r be the reciprocal of n. Find the instantaneous rate of change of r wrt n and relative rate of…

A: According of Bartleby answering guidelines we can answer one question only at a time, therefore I…

Q: f(x)=x^3/2 Find average rate of change over interval [4,25]

A: The given function is

Q: S(x) = 3r2 - 5r + 10 %3D What is the rate of change as x goes from r=2 to r = 4? SUBMIT

A: Given: f(x)=3x2-5x+10 a=2 b=4

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: 157 Epidemiologists in College Station, Texas estimate that t days after the flu begins to spread in…

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Q: The normal to the curve y = e+3kx has gradient 5 when x = 0. Find the value of k. Select one: 1 25…

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Q: The velocity V of sound in air at temperature T is given by V = 20.04 √T, where T is measured in…

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Q: 2q 4 If p= qe Find the rate of change of p with respect to q when q-

A: we have to solve given problem:

Q: and hence determine the rate of change of y with respect to x for the following algebraic functions:…

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Q: 0.6 C(x) = x2 ' where x is the distance away from the plant in miles. The instantaneous rate of…

A: To find out the instantaneous rate of change of the sulfur dioxide concentration.

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

A:

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

A:

Q: The average rate of change of the function y = a) 27 Ob) 26 c) 13 d) 14 x³ from x = 1 to x = 3 is

A: Given function is : y=x3 We have to find the average rate of change of y from x=1 to x=3.