A8: By use of the chain rule, differentiate the function f(x) = (e2x – 1)5. %3D

Q: A coffee shop finds that at the price of $3.00, demand for their popular cappuccino drink is 3000…

A: Given that: At price of $3.00, demand = 3000 cups a year.For every $0.25 decrease in price, demand…

Q: 11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

A:

Q: Use the chain rule to find the derivative of f(x) = 4(5³ – 5æ")“ You do not need to expand out your…

A: The given function, f(x)=45x3-5x714

Q: (b) Using linearization, approximate f(-0.1, 1.8).

A:

Q: Consider the following. = -0.1s3 + 6s² + 400 Find the amount s of advertising (in thousands of…

A: The point of diminishing returns refers to the inflection point of a return function or the maximum…

Q: A woman buys 5 packets of biscuits at $x each and 3 packets of biscuits at $Y each. What is the…

A:

Q: f 4/9 of a 3rd-grade class are boys, what is the boy co girl ratio in this class?

A:

Q: find the net change in g between x=0 and x=7

A: Here we have to find the net change.

Q: Q3. (a) Mention the engineering application of interpolation and integration. (b) The

A: To Find the engineering applications of interpolation and integration

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A:

Q: Does y = e- - 2 exist? What is the domain & range of the function if it does exist?

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: B1(a): Find the value of k that makes function continuous at x = 4 3x + 6 x > 4 6x – k x < 4 f(x) =…

A:

Q: Find the linearization of the function at a . f(x) =  x3/4    , a = 16

A:

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: Find the average rate of change of g(x) 7x? + on x3 the interval [-3,3] Write your answer as a…

A: Topic:- average rate of change

Q: A company's revenue from selling z units of an item is given as R = 1700z – 3z?. If sales are…

A:

Q: Which of the following shows that the price p increases as the demand d increases?

A: Explanation: If price P is increases as the demand d increases. It means graph shows the straight…

Q: Consider the following. P = -0.1s3 + 6s2 + 400 Find the amount s of advertising (in thousands of…

A:

Q: What values of a and b maximize the value of ! (7x-x) dx? a

A:

Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

A:

Q: st rate. Consumers react to this rise ding today and spending tomorrow er, and he decides to…

A: The optimal choice for the Lili is shown below as,

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: f(x) = -x2-6x-6 Find the average rate of change over the interval [-3,1]

A: The average rate of change over the interval [-3,1] is given by:

Q: Q 4 Find the average rate of change between 5 and 0 for: f(x) = 6x2 -9x - 6

A: Obtain the average rate of change of function as follows:

Q: Consider the following. P = -0.1s3 + 6s² + 400 Find the amount s of advertising (in thousands of…

A:

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Q: (e) Find the net change in h between x = -3 and x = 3. %3D

A: Explanation of the answer is as follows

Q: Consider the following. P = −0.1s3 + 6s2 + 400 Find the amount s of advertising (in thousands of…

A: P = −0.1s3 + 6s2 + 400

Q: Find the values of p where demand is elastic. x = 324 — 2р

A:

Q: Solve the non-linear function using NR AND Secant Method. Use 5 decimal values and stop at & ≤…

A:

Q: What is the average rate of change for f(x) = 2X - 4 over the interval 2 sxs6? A) 8. 3) 10 15 18

A:

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: 10. Find y' with the implicit function below. 3(x² + y²)² = 100(x² – y²)

A:

Q: if i have the function how would i use FTC(1) and the chain rule to find g'(x)

A:

Q: At a certain vineyard it is found that each grape vine produces about 10 pounds of grapes in a…

A: Given model of the equation is simplified by expanding the brackets:

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

A:

Q: The value of a timber forest after t years is V(t) = 444 t - 37t (for 0 sts 50). Find when its value…

A:

Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

A:

Q: A stock analyst has studied the historical behavior of a certain stock, and found that the price…

A: topic - average value of a function note : As per bartleby guidelines, we are supposed to answer…

Q: The sales of a product produces revenue R(x) where x represents the amount spent on advertising.…

A: Solution :-

Q: Estimate h' (3) using the table above.

A: first find slope between 2.9 and 3

Q: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

Q: For sketching the function y = 3-e² 2e² determine the following

A: Note: As you asked only for subparts 4, 5, 6, and 7 so, I answered here only that.

Q: Use the graph of f(x) shown here to answer the following questions about its accumulation functions.…

A: Given Graph of fx At=∫-8tfxdx is an accumulation function of fx

Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: The table gives the profit, P of a fast food chain, where P is in millions of dollars and t is in…

A: Given,

Q: – 3x Find the relative rate of change of f(x) = 6+ 3 e -

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.