MATHEMATICS HIGH SCHOOL

Differentiate the following functions s=4e^3t-e^-2.5 w.r.t.t

Answers

Answer 1

Answer:

Answer:

$\displaystyle (ds)/(dt) = 12e^(3t)$

General Formulas and Concepts:

Algebra I

Functions
Function Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Multiplied Constant]: $\displaystyle (d)/(dx) [cf(x)] = c \cdot f'(x)$

Derivative Property [Addition/Subtraction]: $\displaystyle (d)/(dx)[f(x) + g(x)] = (d)/(dx)[f(x)] + (d)/(dx)[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle (d)/(dx)[f(g(x))] =f'(g(x)) \cdot g'(x)$

eˣ Derivative: $\displaystyle (d)/(dx) [e^u]=e^u \cdot u'$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle s = 4e^(3t) - e^(-2.5)$

Step 2: Differentiate

eˣ Derivative: $\displaystyle (ds)/(dt) = 4e^(3t) \cdot (d)/(dt)[3t] - (d)/(dt)[e^(-2.5)]$
Basic Power Rule: $\displaystyle (ds)/(dt) = 4e^(3t) \cdot 3t^(1 - 1) - 0$
Simplify: $\displaystyle (ds)/(dt) = 12e^(3t)$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

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C.) $7,353.88

Answers

Answer:

its b

im on plato and got it right

I'm guessing that its c

Find the 100th term arithmetic sequence if at a¹ = 2 and = -3

Answers

Answer:

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Step-by-step explanation:

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A number greater than 40 and have 5 in the tenths place

Answers

a number greater than 40 and have 5 in the tenth place is 50

the real answer is 40.5-40.59 since it is in the tenths place

A tour company for large groups charges a one time fee of $200 plus an additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable.

Answers

The solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that company for largegroups charges a one time fee of $200 plus an additional $25 per person who goes on the tour.

Let's consider n be the number of people going on the tour.

Then the inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be;

200+25n ≥1650

To solve for n;

200+25n=1650

25n=1450

n=58

Hence, the solution of an inequality in terms of n that represents all numbers of people who can go on the tour to make it profitable would be 58.

Learn more about inequalities here:

brainly.com/question/27425770

#SPJ2

Answer:

200+25n=1650

n=58

Step-by-step explanation:

200+25n=1650

25n=1450

n=58

HELP!! Are triangles ABC and ALM congruent

A. Yes by AA

B. Yes by SSS

C. Yes by SAS

D. They are not similar