The science club is experiencing a growth in membership. On average, they are seeing 2 new members sign up each week. If they started with 10 members which function, S(x), represents the number of members in the science club after x weeks? S(r) = 10 + 2= S(x) = 2+10r S(x) = 10 + 2r O S(x) = 10x + 2" O O O O

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

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Q: f(x) = x3 + x2 - 6x y 30- g(x) = 6x 20+ (3, 18) 10+ -10+ -20- (-4, -24) -30- 2.

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Q: Suppose the annual profit for a store was modeled by the function :          P(x) = - 0.2x3 + 3x2 +…

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Q: Use the models f(x) = 0.074x + 2.294 and g(x) = 2.577(1.017)x to solve. a. World population in 1970…

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Q: X-3 1-7X ガ ニ ー4x2 f-14X4|l 5-X if x>l

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Q: 2.3 - Can you show the steps to solving this problem? Differentiate the function. 12) y = x^(5/3) -…

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Q: 3x-1 and g(x) За—1 f (x) = 7 x-3 ||

A: Consider the following functions: fx=3x-17gx=2x-3 gfx=2fx-3=23x-17-3=23x-1-217=23x-227=143x-22

Q: According to 2010 census data, Houston was the fourth largest city in the US. In 2011, its…

A: Given :  Population in 2011 is 2145,000 which is increase of 2.2% compared to the 2010 Let…

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A: Given function: fx=13x3+676x5+39 where, x is in tens of thousand of beetles. f(x) is thousands of…

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A: The cost to produce a certain commodity is given by the function C(x)=50x+2000. The corresponding…

Q: 3 + 2x g(x) %3D 5 - 8x

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Q: Use end behavior to explain why f(x) = -49x3 + 806x2 + 3776x + 2503 is only an appropriate model for…

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A: Explanation of the answer is as follows

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Q: 9) fx)--2x+1 g(x)-3x x -1 Find (g (x)

A: Given: f(x)=-2x+1 g(x)=-3x2-x-1

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A: NOTE: Refresh your page if you can't see any equations. . here x= number of years after 2002 so…

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

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Q: 5. Find all relative maxima of the given function. y =x* -8x' +16x² +3

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Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

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Q: The number of concurrent users of a social networking site has increased dramatically since 2002. By…

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Q: linearization

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Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: After declining between 1940 and 1980, the number of multigenerational American households has been…

A: Given, Function,h(x)=0.012 x2-0.583 x+35.727 To find: Year in which there were 40 million…

Q: When professors select texts for their courses, they usually choose from among the books already on…

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Q: F(x) Vex-uz 81 -9X

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Q: A biologist has discovered that the weight of a certain fish is a power function of its length. He…

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Q: (x3-2x)²(1-2x)ž f(x) (3x-4)*

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Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: F(x) = 3x2 +4x -5 G(x) = 2x2-8 H(x) = -4x2 +5x-2       F(2) - H(-3)

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Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: We opened this section with a study showing that late in the semester, procrastinating students…

A: Given;

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A: Given Data The function is E(x) =(0.001x-0.062)(-0.18x²+8.2x-200)   (a) Differentiate the above…

Q: find all possible functions with the givenderivative. y' = 3x2 + 2x - 1

A: Definition used -     Function from derivative -         f(x)=∫f'(x)dx

Q: 4) Is y = -3x² + 12, x 20 a one-to-one function? Why or why not?

A: For one -one function F(x1)=F(x2) then x1=x2

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Q: The sales function for a product is given by S(x)=127+30.6x2−0.6x3S(x)=127+30.6x2−0.6x3, where x…

A: Given Sales function for a product is, S(x)=127+30.6x2-0.6x3,  where x represents thousands of…

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Q: The function w(x) = -0.01x² + 0.27x + 8.60 can be used to estimate the number of self-employed…

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Q: The population of Boston, MA in 2019 was 692,600 people with an annual rate of increase 1.4%. In…

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Q: {: (x-2)2 if 1sx<3 f(x)%3D -3x+14 if 3sxs7

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Q: Which of the following functions is NOT a solution of x" - 4x + 4x = e¹?

A:

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.