Question

In: Math

Express your answer as an integer, or as a fraction in lowest terms if necessary. 1....

Express your answer as an integer, or as a fraction in lowest terms if necessary.

1. If g(x) = - 3 f(x), where f(6) = 10 and f'(6) = - 4, find g'(6).

2. If g(x) = 5 x + 6 f(x), where f(- 5) = 3 and f'(- 5) = - 10, find g'(- 5).

3. If f(x) = (e^x) / x , find f'(1).

4. If f(x) = - sin x sec x, find f'(0).

5. If h(x) = 3x f(x) - 11 g(x), where f(2) = 15, g(2) = 12, f'(2) = 4, and g'(2) = 6, find h'(2).

6. If h(x) = f(x) g(x), where f(1) = 3, g(1) = - 5, f'(1) = 7, and g'(1) = 10, find h'(1).

7. If h(x) = [f(x)] / [g(x)], where f(- 3) = - 2, g(- 3) = 3, f'(- 3) = 6, and g'(- 3) = - 9, find h'(- 3).

8. If g(x) = 1 / [f(x)], where f(3) = 4 and f'(3) = - 3, find g'(3).

9. If h(x) = f(x) + [g(x)]^2, where f(- 7) = 6, g(- 7) = 5, f'(- 7) = - 2, and g'(- 7) = - 4, find h'(- 7).

10. If h(x) = f (g(x)), where f(0) = 7, g(0) = - 1, f'(0) = 0, g'(0) = - 3, f(- 1) = - 3, g(- 1) = 2, f'(- 1) = - 5, and g'(- 1) = 4, find h'(0).

Expert Solution

1)

put x = 6,

2)

put x = -5,

3)

put x = 1,

4)

put x = 0,

milcah answered 2 years ago

Derive an expression for the instantaneous voltage across the capacitor. Express your answer in terms of...

Derive an expression for the instantaneous voltage across the capacitor. Express your answer in terms of the variables C, R, I0, and t. My previous answers that were incorrect: 1) VC=I0*Cos(omega*t)*R (Response was that the answer doesn't depend on (omega*t) 2)Vc=I0*Cos((1/RC)*t)*R (Response was Incorrect; Try Again; One attempt remaining You have found the voltage across the resistor. Note that the current and voltage across the capacitor are out of phase.) Previous question info: Part A) A 300 Ω resistor is...

Lowest terms

Problem1 Reduce to 25/30 lowest terms A fraction is said to be reduced to lowest terms if no number other than 1 can be divided evenly into both the numerator and denominator.

Find the Laplace transform of the given function. (Express your answer in terms of s. Assume...

Find the Laplace transform of the given function. (Express your answer in terms of s. Assume that s > 0.) f(t) = 0, t < 1 t2 − 2t + 4, t ≥ 1

Find the energy U0 stored in the capacitor. Express your answer in terms of A, d, V, and ϵ0.

Part A Find the energy U0 stored in the capacitor. Express your answer in terms of A, d, V, and ϵ0. Remember to enter ϵ0 as epsilon0. Part B The capacitor is now disconnected from the battery, and the plates of the capacitor are then slowly pulled apart until the separation reaches 3d. Find the new energy U1 of the capacitor after this process. Express your answer in terms of A, d, V, and ϵ0. Part C The capacitor is...

Part A 24195Am→23793Np+_ Express your answer in isotopic notation. Part B _+0−1e→12655Cs Express your answer in...

Part A 24195Am→23793Np+_____ Express your answer in isotopic notation. Part B _____+0−1e→12655Cs Express your answer in isotopic notation. Part C 23793Np→_____+42He Express your answer in isotopic notation. Part D 21885At→_____+42He Express your answer in isotopic notation.

1. a.) Find the values of x for which the series converges. Express your answer in...

1. a.) Find the values of x for which the series converges. Express your answer in interval notation. n = 1 ∞ ∑(−3)n?n b.) Find the sum of the series (valid over the values of x found in part a).

What is the purpose of a firm? Express your response in terms of owner’s perspective.

7. Fractions You can express a fraction as a list: [numerator, denominator]. For example 1 2...

7. Fractions You can express a fraction as a list: [numerator, denominator]. For example 1 2 can be expressed as the list [1,2]. (a) Write a function called factionAdd() that takes two fractions as lists and adds them. For example, fraction([1,2], [3,4]) returns [5,4] (b) Write a function fractionMult() that multiplies two fractions that are passed as lists. [HINT: You may use the following function gcd ( x ; y ) to help you calculate the Greatest Common Divisor, which...

Express the position of a debt holder in terms of put options. Build your answers on...

Express the position of a debt holder in terms of put options. Build your answers on part (a) of this question, use option theory to explain the debt-overhang problem, or, how managers could decide to forgo projects with positive NPVs when the firm has a high level of financial leverage. (Word limit: 100)

What is the uncertainty of the position of the bacterium? Express your answer with the appropriate...

What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units. -------- A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 1.10 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 7.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in...