If f(x) = 3x - f(3) – g(2). 4 and g(x) -x², find the value of %3D 系 跳,, are

Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and…

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: A soccer ball manufacturer is planning to expand its workforce. It estimates that the number of…

A:

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Find the point of diminishing returns for the revenue function where x is the amount spent on…

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Q: Given MPC = 0.7Y+ 0.2 and C= 50 when Y = 0. What is the consumption function? %3D

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Q: Find | f(x) + 6g(x)]dx if -2 6. 6 f(x)dx = 4 and g(x)dx = -6. -2 -2 6. [f(x) + 6g(x)]dx =

A:

Q: Find df/ dx of  f(x)=(x2-1)(x3+3x2/x2+2)

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Q: Find the average cost function if cost and revenue are given by C(x) = 157 + 2.7x and R(x) = 4x…

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Q: The demand function for a certain product is  p = 121 − x2  and the supply function is  p = x2 +…

A: Solution:  The demand function for a certain product is    p = 121 − x2  and the supply function is…

Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F…

A: To find the foraging time

Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

Q: Find P(2 < X < 5) using the cumulative function given by

A: The P(a ⩽ X &lt; b) can be obtained using cumulative function as P(a ⩽ X &lt; b)= F(b) - F(a)

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given- The population of a state is known to grow at a rate proportional to the number of people…

Q: If the total revenue function for a blender is R(x) = 28x − 0.01x2 where x is the number of units…

A:

Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

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Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: The cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Suppose that the cost function is C(x)= x2 + 5x + 144. Find the value of x that minimizes the…

A: Given:

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: The linear functions m(x) and n(x) are perpendicular to each other and intersect on the x-axis. If…

A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

Q: [D] If y = 3x – 6x2, find the percentage error in y at x = 1 if error in x is 0.05.

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Q: Find the relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: A business wish to invest Gh 20,000 in two enterprises do that the total returns for the year would…

A: Let he invests Gh x in the first enterprise. So he invested Gh (20000-x) in the second    Total…

Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: Find [f(x) + 5g(x)]dx if 6. f(x)dx = 4 and g(x)dx = -5. juo 6. f(x) + 5g(x)]dx -3

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Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: National park service personnel are trying to increase the size of the bison population of the…

A: National park service personnel are trying to increase the size of the bison population of the…

Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

A:

Q: Write the formula for the cost function C(x) in terms of R(x) and P(x).

A:

Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

A:

Q: If f(x) = 4x² ln(7x), then %3D f'(x) = f" (x) = f" (x) =

A: The given function is: f(x)=4x2ln(7x) so, f'(x)=4x2ddx(ln(7x))+ln(7x)ddx(4x2)…

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: find the critical value of F(x)= 10x^2 + 12x +5

A: The objective is to find critical value of F(x).

Q: If r = 0.05 and H = 500, for what values of p0 is the amount ofthe resource decreasing? For what…

A:

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: f (x) = 3.x5 5x3.

A:

Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

Q: | (1 – a*)dæ (1 — а?) а

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Q: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

A:

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: What is g'(x) when g(x) = ln (x³ + 3x² + 5x + 6)?

A:

Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

Q: Find the average cost function if cost and revenue are given by C(x) = 142 + 5.4x and R(x) = 8x -…

A: Given :

Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

A: