If lim f"(x) = +00, then the trapezoid estimation Tn - f(x) dx O TRUE OFALSE can never be within 10~3 of the actual value. Justify:

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: Given f(x) = x^3-3x^2 – 1. Use the first or second derivative tests to c) Determine the intervals…

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Q: 3. If y x- 15x', find; x– 15x², find: a) Intervals of increase/decrease.

A: We’ll answer the 3rd question since we answer only one question at a time. Please submit a new…

Q: Suppose f(x) = 7x²+5x. Find: ƒ'(1) =

A: Given: f(x) = 7x2+5x

Q: f the population of a certain county was 100,000 in 1998 and 110,517 in 2008 and the for- mula y 5…

A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: What type of discontinuity is in the function f(x) = x-4/(x)^1/2 -(2)? Where is this discontinuty…

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

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

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Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: Use a second derivative test with a well written conclusion to find the inflections point of the…

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Q: Please help with this thank youu

A: The objective of the question is to find the derivative of the function f(x) = sqrt(x) + 2 at x = 1.…

Q: f(x)=sqrt(x+1) find f(t^2-1)

A: We have to find the function

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Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

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Q: Determine the equation of the tangent to f(x) at (3, 6) f(x) = (8x-7)(x + 2x²)

A: f(x)=(8x-7)(-x+2x2)equation of tangrent line is y=mx+cwhere m is slope of linem=f'(x)

Q: Use the graph below to fill in the missing values. f(x) -1+ R0) = fx) = 0, f^-1(0) = f^-1(x)=0. quad

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Q: Let f(x)=x^3−x.Find where f(x)<0.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: