9. a. If the unit of f(x) is gallons and the unit of x are in...

9.

a. If the unit of f(x) is gallons and the unit of x are in miles then the unit of f’(x) = ____________

b. If f is an increasing function at x = 4.5, then f ‘( 4.5) <0 True or False?

If g’ (4) = 0 and g “ (4) >0 , then g(4) is a ______________ value of the function.

If f(x) is continuous and f(2) = f(6) = 7 , then f’(c) =0 when 2<c<6. True or False?

If c(T) is the temperature (⁰F) of my coffee T minutes after I pour the cup, then explain in a sentence what c ‘(10) =-5 means? Don’t forget to include the unit.

Expert Solution

milcah answered 2 years ago

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x) = 12(x^2 − 3). (a) On what interval(s) is f(x) increasing and decreasing? (b) On what interval(s) is f(x) concave up and concave down? (c) Where does f(x) have relative maxima? Minima? Inflection points?

9. Let f be continuous on [a, b]. Prove that F(x) := sup f([x, b]) is...

9. Let f be continuous on [a, b]. Prove that F(x) := sup f([x, b]) is continuous on [a, b]

Find f(x) if f is a linear function that has given properties. f(-1)=1, f(3)=9 f(x)=

Which of the following functions are one-to-one? Group of answer choices f;[−3,3]→[0,3],f(x)=9−x2f;[−3,3]→[0,3],f(x)=9−x2 f;R→R,f(x)=x3f;R→R,f(x)=x3 f;[0,∞]→[0,∞],f(x)=x2f;[0,∞]→[0,∞],f(x)=x2

Which of the following functions are one-to-one? Group of answer choices f;[−3,3]→[0,3],f(x)=9−x2f;[−3,3]→[0,3],f(x)=9−x2 f;R→R,f(x)=x3f;R→R,f(x)=x3 f;[0,∞]→[0,∞],f(x)=x2f;[0,∞]→[0,∞],f(x)=x2

1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a...

1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a linear approximation or differentials to estimate f(4.04) b) Is your estimate in part (a) too large or too small? Explain. 2: a) Given f(x) = (x + 3)sinx, find f'(π) using logarithmic differentiation. b) Find the value of h'(0) if h(x)+xsin(h(x))= x2+4x-π/2

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the critical numbers of f . Find the intervals where f is increasing and decreasing. Determine if the critical numbers of f correspond with local maximums or local minimums. Find the intervals where f is concave up and concave down. Find any inflection points of f

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot...

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot of the periodic Fourier Series expansion of f(x)f(x). What is its value at x=0x=0 and why? Is it odd or even? (ii)(ii) Expand the given function in a Fourier Series.

Let R be a commutative ring with unity. Prove that f(x) is R[x] is a unit...

Let R be a commutative ring with unity. Prove that f(x) is R[x] is a unit in R[x] iff f(x)=a is of degree 0 and is a unit in R.

value unit spherical volume (in^3) spherical volume (m^3) spherical volume (gallons^3) x in ? ? ?...

value unit spherical volume (in^3) spherical volume (m^3) spherical volume (gallons^3) x in ? ? ? So I'm being assigned the task of creating a custom conversion table that utilizes logical statements for the purpose of converting the given values from the input units into the other listed units within excel. I've tried a few, however, I don't know how to list multiple statements. For example, if B2, the user writes "m", then each of the corresponding spherical volume units...

Let (X, Y ) has a uniform density in the unit circle, i.e., f(x, y) =...

Let (X, Y ) has a uniform density in the unit circle, i.e., f(x, y) = c, x2 + y 2 ≤ 1, for some constant c > 0. • (a) Find E[X]. • (b) Find the conditional pdf of X given Y = y.

Question

9. a. If the unit of f(x) is gallons and the unit of x are in...

Solutions

Expert Solution

Related Solutions

Suppose the first and second derivatives of f(x) are: f' (x) = 4x(x^2 − 9) f''(x)...

9. Let f be continuous on [a, b]. Prove that F(x) := sup f([x, b]) is...

Find f(x) if f is a linear function that has given properties. f(-1)=1, f(3)=9 f(x)=

Which of the following functions are one-to-one? Group of answer choices f;[−3,3]→[0,3],f(x)=9−x2f;[−3,3]→[0,3],f(x)=9−x2 f;R→R,f(x)=x3f;R→R,f(x)=x3 f;[0,∞]→[0,∞],f(x)=x2f;[0,∞]→[0,∞],f(x)=x2

1: Given that f(4) = 6 and f'(x) = 2/x2+9 for all x. a) Use a...

Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot...

Let R be a commutative ring with unity. Prove that f(x) is R[x] is a unit...

value unit spherical volume (in^3) spherical volume (m^3) spherical volume (gallons^3) x in ? ? ?...

Let (X, Y ) has a uniform density in the unit circle, i.e., f(x, y) =...