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Q: Please help!

A: Recall the quotient rule for derivative:

Q: For y= (x^4/4)-(x^3/3)-2 (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function

Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get in...

Q: find the derivative of the question in the picture please show all work

A: Obtain the derivative of the function.

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over th...

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval [-3,...

Q: a) and b) please

A: Part (a)The population of the town in 2016 is 63,000 and the growth rate is 2.3% per year.

Q: a. Find all points on the graph of f at which the tangent line is horizontal. b. Find all points on ...

A: We first find the slope of f(x) using differentiation.

Q: Calculate the derivative of the function y = (6^6 + 3)^x using the fact that b^x = e^(x ln b) and by...

A: Consider the given function:

Q: #28 please

A: The given function of hyperbola can be written in terms of y as: Plugging this value in the objectiv...

Q: How to convert percentage to ratio?

A: In this question we have to explain how to convert the percentage in fraction form.

Q: 1) if a•b = a•c and a ≠ 0 does b = cExplain 2) axb = axc and a ≠ 0 does b = cExplain

A: (i)Consider a.b = a.cSince a ≠ 0, dividing both the sides by a, (ii)Consider axb = axcSince a ≠ 0, d...

Q: Please help me find the length of the curve

A: We\'ll use arc length formula with a=pi/2, b=2pi/3.

Q: I need help about solving this problem. a) How do I find the time required to reach the maximum amou...

A: Let F be the amount of fertilizer. In 1 minute 1 gallon of solution comes in and 5 gallons of soluti...

Q: Find the producers' surplus at a price level of p $51 for the price-supply equation below. S(x) 5+0....

A: Given price-supply equation is,

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x ...

A: We are given equations as

Q: How do I choose my g(u,v) and h(u,v)?

A: The double integral is given by,

Q: The following integral is The integral of g(x)dx from 7 to 2

A: The given integrals are,

Q: The consumer price index (CPI) measures how prices have changed for consumers. With 1995 as a refere...

A: Given:The rate of change of CPI in dollars per year is dC/dt= 0.009t2 − 0.096t + 4.85, where t repre...

Q: How can I get the result? Which is the result?

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: Logarithmic Differentiation - See attachment

A: Find the derivative of the given function.

Q: If a cup of coffee has temperature 95°C in a room where the temperature is 20°C, then, according to ...

A: The equation for the temperature of the coffee after t minutes is,

Q: Which of the following is the power series representation for f(x)? O A. B. 1 4k X Σ 4k k 0 1-x k 0 ...

A: Consider the power series representation for f(x4):

Q: A van is accelerating at a rate of 7 meters per second squared. The initial velocity of the van is 6...

A: Given: The van is accelerating at a rate of 7 meters per second squared. That is, a(t) = 7.The initi...

Q: Perform a first derivative test on the function f(x) 2x3x-12x +6, [-2,4]. a. Locate the critical poi...

A: (a)Locate the critical points of the given function f(x)=2x3+3x2–12x+6 on the interval [–2,4].

Q: How can I get the result? Which is the result?

A: The given function is,

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

A: Click to see the answer

Q: 2x 1 dx 3 (2x-1+C 6 C 2 x2-x C 3x

A: Given:The integral is

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the p...

A: Applied product rule and found f'(x).

Q: Find the power series representation for g centered at 0 by differentiating or integrating the power...

A: Consider the geometric series,

Q: please explain how to find GINI Index if the lorenz function is Y=0.92x1.96 My answer book says the ...

A: The given Lorenz function is,

Q: Determine the radius and interval of convergence of the following power series. к?(- 5)2к k! The rad...

A: Given,

Q: how to find Find the area of the region enclosed by one loop of the curve. r = sin(4θ)

A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,

Q: c. Find the area of the reqion bounded by y xe-a and the x-axis on the interval 0,bl. Because this a...

A: Given curve is The area of the region bound by the curve and x-axis on the interval [0,b] is given b...

Q: lim x→-4 x2-16/x+4

A: The given function is f(x)= (x2-16)/(x+4)The limit of the function is to be calculated

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function x2 In(1 x...

A: We know the Maclaurin series for ln(1+x). From there we find Maclaurin series for ln(1+x^3) by repla...

Q: How can I get the result? Which is the result?

A: we are given functions as

Q: How can I get the result? Which is the result?

A: The given function is,

Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...

A: According to the question, x is the distance between the nearest point on a shoreline and the point ...

Q: Find the flux of the following vector field across the given surface with the specified orientation....

A: Let r be the vector on the surface of the cylinder y=6x2 for 0 ≤ x ≤ 4, 0 ≤ z ≤ 2.Let's parameter...

Q: Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and Q(b,f(b)) be disti...

A: Given information:Suppose f is differentiable on an interval containing a, b, and let P(a,f(a)) and ...

Q: Find the function represented by the following series and find the interval of convergence of the se...

A: The function is given by,

Q: How can I get the result? Which is the result?

A: a)Analytically complete six rows of a table as below.

Q: Please help. Does the series below converge or diverge? Give a reason for your answer. (When checkin...

A: The given series is

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point such that r 0 ...

A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: How can I get the result?

A: We used a calculator to find the values for the table. And rounded each value to 4 decimal places. ...

Q: 11

A: Obtain the magnitude value of u as follows.

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either...

A: Step 1: Go to "Y=", then type in the function 3 + x − x2 Step 2: Go to "TBL SET" (2nd+WINDOW), the...

Q: Is y=ex −5x−8 a solution to the initial value problem shown below? y′−5x=3+y y(0)=−7

A: The given differential equation is y=ex −5x−8.The solution of the deferential equation is given as, ...

Q: Which of the following is the power series representation for f(x)? A. Σ ( -1): Ο Β. Σ 11k k 0 k 0 Ο...

A: In the given question we have to find the interval of convergence of power series representation for...

Q: Consider the function g(x) = |(x^2 - 4)/(x+3)| do the following: a) Give the domain of the function ...

A: a) First obtain the singularity for the given function as follows.The denominator of the given fract...