Suppose that f(x) = 3x!/5 – 2x5/7. Evaluate each of the following: "(3) = (4) = %3D

Q: Find f (3.7) if f(x) = 3 1-z round to the nearest hundredth

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Q: What will be the estimate for 9.1 if we use L(x)?

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Q: If f(x)=ln(3x^3+4x^2+x+4)

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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: Find S f(x)dx if f(x) = [2 for x<2 [x for xz2

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Q: Find the critical points of the following function. f(x) = 5x2 + 3x - 1

A: Do the first derivative and then set it to zero gives us the desired value.

Q: Find f'( S(4) =

A: Given that, For the function h(x), h4=-12  and  h'4=-7 And, fx=hxx

Q: Find a solution of by iteration for By using fixed step f (x) = x3 + x -1 = 0

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Q: x increases uniformly at the rate of 0.002 feet per second, at what rate is the expression (1 + x)…

A: Given dx/dt=0.002 feet/sec Let y=(1+x) 3  then find dy/dt at x=8

Q: Find a solution of by iteration for f (x) = x³ + x – 1 = 0

A: Given function is f(x)=x3+x-1=0 So we can write x3+x-1=0⇒x(x2+1)=1⇒x=1x2+1 Let ϕ(x)=1x2+1 Since…

Q: If f(1) = 2 and f '(x) ≥ 3 for 1 ≤ x ≤ 5, how small can f(5) possibly be?

A: Given f1=2f'x≥3    ; 1≤x≤5

Q: Differentiate f (x) = 71n(x²-6x+3) A. (2x – 6) 7ln(x²-6x+3) f' (x) = x2 – 6x + 3 - В. In(7) (2x – 6)…

A: Given query is to find the derivative of the expression.

Q: If f(2) = 15 and f (x) > 2 for 2 s x s 4, how small can f(4) possibly be?

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Q: An efficiency study of the morning shift at a factory indicates that an average worker arriving on…

A:

Q: Find f(x) iff, (p) Hence deduce F .

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Q: It is estimated that between the hours of noon and 7:00pm, the speed of highway traffic past a…

A: Check S(t) for all values of t

Q: If f(x) = 5x¹(²), find ƒ'(6) to 3 decimal places.

A: The given function,   f(x)=5xlnx

Q: The same study that produced the seat belt safety data of Table 7.1 also took into account the age…

A: Given: The children wearing no seat belts is shown below as,Here X1 = 1 if the child did not survive…

Q: If f(1)  = 10 and  f'(x) ≥ 2   for 1≤  x ≤ 4, how small can f(4)possibly be?

A: Given that f(1)  = 10 and  f'(x) ≥ 2

Q: Find f'(x) if f(x) = e3In x². f'(x) = 6x5 f'(x) = (61n x)e3 In x2 Option 3 Option 2 f'(x) = 5x*…

A: The objective of the question find the derivative of given function.

Q: Why is f'(x) approximated well by the difference quotient when Ax is very small?

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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: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: If f (1) =10 and f ʹ(x) ≥ 2 for 1≤ x ≤ 4, how small can f (4) possibly be?

A:

Q: Find f'(x) if ef«) = 1+ x². 2x f'(x) = 2x(e1+**) f'(x) = 1+x O Option 3 O Option 2 f'(x) = 2x(1 +…

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

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

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Q: Suppose that the monthly cost in doliars of mining a certain ore is related to the number of pieces…

A: We have to find the value x

Q: Find f'(x). 4 f(x) = 5x – In x f'(x) =O

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Q: If a bank offers annual interest of 7.5% or continuous interest of 7.25%, which has a better annual…

A: Given that a bank offers interest of 7.5% or continuous interest of 7.25% To determine which…

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

Q: Suppose f(x) = x² In(x). then f"(e) equals

A:

Q: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he will…

A: Question: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he…

Q: When f′(x0f′(x0) =0, then Newton-Raphson method fails.

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Q: Proceed as in Exercise 51 to calculate F'(0), where 3x + 5x* + 5x +1 F(x) = (1+x +x*/3 +x/³) : 8x9 –…

A: Given function is Fx=1+x+x43+x533x5+5x4+5x+18x9-7x4+1. First multiply the numerator.…

Q: Find the family of antiderivatives of f(x) = 3e3x.

A: The given function is fx=3e3x. We have to find the family of antiderivatives of fx=3e3x. We know…

Q: 7. Given f(x) = x² – 5x ,

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Q: calculate M6 for f(x)=7(In(x^2)) over [1,2]

A: Given the function f(x) :

Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker…

A:

Q: 4. The Profit P (in thousands of $) for a company in terms of the amount, s, spent on advertising…

A: Given model is, P=-0.1s3+6s2+400

Q: course repeater claims that his brother who did some Calculus at college years ago, but currently on…

A: Given: fx=2x2-1x2+3x2+1 gx=x2+872-3x25 The objective is to check given first order derivative of…

Q: Suppose a survey shows that a mayoral candidate is gaining votes at a rate of 2100t + 1500 votes per…

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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: 1. There are 64.000 subscribers to an online fashion magazine. Due to competition from a new…

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Q: Suppose we have a revenue function given by R(x)=3x^3−αx, where α is a constant. What would the…

A: Formula used:

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker…

A: An average worker arriving for work at 7:00 AM, assembles  f (x) = x3 + 6x2 + 15x units after x…

Q: Find f(0) iff (x) et?

A:

Q: During the Covid-19 pandemic, the number of people that are infected at any time increases at a rate…

A: Solved below

Q: A factory produces bikes at a rate of 100 + 0.5t2 - 0.9t where t is in weeks, how many bikes were…

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.