Find the net change in the value of the function between the given inputs. f(x) = 8 − 3x;    from 4 to 6

Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: Given f(x) = 3x + 3 a) Evaluate f(3) f(3) = b) Solve f(x) = 9

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Q: Where does the graph of the function h (x) = x* + 3z² – 4 cross the x-axis? %3D O x= -1 and x = 1 O…

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Q: for this equation include the states of the reactants and products, such as (s), (g), etc., and…

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Q: 1 g(x) (1 – x)3'

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Q: f(x) = x -5x+3; k = 2+ i

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Q: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

A: Consider the provided question, We have to find the first full year in which the country A’s GDP…

Q: A study indicates that spending money on pollution control is effective up to a point but eventually…

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Q: Find f' (2) and determine the value of x for which f'(x) = 0 a) f'(x) = ln2x - 2x b) f'(x) = (2x…

A: Two functions are given by, f'x=ln2x-2x and f'x=2x-85. The objective is to find the value of f'2 and…

Q: Given revenue and cost functions R(x)=50x and C(x)= x2/3+750,where x is the number of items produced…

A: Given revenue and cost functions R(x)=50x and C(x)= x2/3+750

Q: Given revenue and cost functions R(x) = 50x and C(x) = x 2/3 + 750, where x is the number of items…

A: Given data: The revenue function  R(x) = 50x . The cost function C(x) =  x 2/3 + 750. x =  The…

Q: 7. Iff (1) = 5, which could be the equation for f (x)?

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Q: 4. Given the functions h(x) = 3x - 4 find h(x) 5x + 2

A: Here we have to find inverse of function h(x).

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: Find constants a, b and c such that the function f(x)= ax³ +bx²+c will have a local extremum at (4,…

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Q: The Value of a collectible is changing such that dy 2t given in $/year, %3D and t is the number of…

A: Given,          dvdt=2tt2+1 and 120∫020dvdt

Q: 3. Determine the values of a and b if the given function f(x) is continuous. (2x + 6 ,x 2 Solution:

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Q: The hourly wage y of an employee at a certain production company is given by y = 0.25x + 9 where x…

A: Given: y=0.25x+9 where x is the number of units produced by the employee in hour

Q: • Solve the separated functions when (i) k = 0 (ii) k #0 a²x kX(x) = 0 a2x2 %3D

A: For (i), k=0.     ∂2X∂x2-kX=0⇒∂2X∂x2=0Integrating once,⇒∂X∂x=c1Integrating again,⇒X=c1x+c2

Q: Solve for x. f(x-y) = k

A: Given,

Q: 4 – 8x4 Find an antiderivative for the function x2 Antiderivative =

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Q: The cost C(x), where x is the number of miles driven, of renting a car for a day is $30 plus $0.55…

A: Find: cost function C(x) Given: x is the number of miles driven         renting a car for a day is…

Q: (a) One value of x for which h(x) : :4 (b) A(-2) = 0 %3D

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Q: f(x) = V9x – 3 Step 1 of 2: Findf"(x). Answer f"(x) =

A: Answer

Q: 2. State the value of x for each, given g(x) = -3x + 4 and f(x) = /x – 5 a)g(x) = 10 b)g(x) = -2…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: Find all x e R that satisfy the equation |x + 1| + |x – 2| = 7.

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Q: Find those values of x for which the given function is increasing and those values of x for which it…

A: For function to be increasing or decreasing consider f'(x)

Q: Suppose a flu epidemic has broken out at your school. Assume that on Feb 10, a total of 20 people…

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Q: a) f(x) =e**+ 2x +5) 35 26 f(x) =In(x +10x + 6)

A: The detailed solution is given below Thank you

Q: f(x) = a-2

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Q: Eliminate the arbitrary constant: y = x^2+ C1 e^-2x - C2 e^x

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Q: Find the antiderivative of the function f(x)=5x^4-4x^5-3x

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Q: f(x)= 4 - 3x + 12x^2 f(a+h)−f(a)/h    for h≠0

A: Given f(x)=4-3x+12x²  To find [f(a+h)-f(a)]/h for h≠0

Q: (x-2)" . g(x) = E n=1

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Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000.…

A: Given query is to find marginal cost function.

Q: The unit cost, in dollars, to produce each box of cat food is $3 and the fixed monthly costs are…

A: Given:x= number of boxes of cat foodPrice-demand function=px=-2x+469Fixed cost=$ 22244Cost per…

Q: Suppose f(x) = æ². (a) Find a formula for y = f(x – 12) in terms of the variable x. - y = f(x – 12)…

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Q: Eualuate the function hx)= X +Sx2+3 at the given and Simplify Values of the indePendent variable…

A: The given function is :hx=x4+5x2+3we need to find h3a

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

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Q: Find all real values of x such that f(x) = 0. 27 – x2 f(x) = Step 1 Set the function equal to zero.…

A: Given function is To find the real values of x for which f(x)=0, we set the function equals to 0.

Q: The weekly cost C of producing x units in a manufacturing process is given by C(x) = 60x + 1500.…

A: Given cost function is  C(x)=60x+1500 Number of units produced in t hours is given by x(t)=50t

Q: Find the maximum profit and the number of units x that must be produced and sold in order to yield…

A: Given: The revenue function is Rx=x2+110x+60. The cost function is Cx=1.1x2+10x+80.   Determine the…

Q: x2 + 2/x + 3 If f' (x) = find the net change in f(x) between x=1 and x=3.

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Q: The revenue (in dollars) form the sale ofxcar seats is given byR(x)=80x−0.02x2, for 0≤x≤3000. (a)…

A: (a) we have our revenue is given by R(x) = 80*x - 0.02x2. now revenue for 1200 car seats is  R(1200)…

Q: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

A: The gross domestic product​ (GDP; in trillions of​ dollars) for Country A and Country B can be…

Q: Q 2/ find the value of (k) to continue the function Vx+1-/2x x + 1 f(x)= (k x2-x X = 1.

A: The detailed solution is as follows below:

Q: The time, t, it takes a runner to cover a specified distance is inversely proportional to the…

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Q: h(x) = 3x - 4 5x + 2 find h'(x) 4. Given the functions

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Q: Find the antiderivative of the function f(x)=3x^2-7x-2/x

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Q: the average price of a two-bedroom apartment in downtown New York City during the real estate boom…

A: Given average prize : p(t) = 0.33e0.16t million dollars  t=0 represent 1994 in 1995 i.e…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.