Find the relative extrema of f(x)=32x² - 4x². Find the absolute maximum and absolute minimum of the interval [−7,2] if ƒ(x) = (x−1)³¾.

Q: Use a Riemann sum with 4 rectangles of equal width to approximate the area between y = x³ +8 and the…

A: Let's find area by using right hand Riemann sum.

Q: Uranium-238 (U-238) has a half-life of 4.5 billion years Geologists find a rock containing a mixture…

A: Half life = 4.5 billion years N(t)=0.77* N0t= ?t12=4.5 billion years

Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Solve by the method of your choice:From a club of 20 people, in how many ways can a group of three…

A: Given data, n=20 r=3

Q: (1 point) Find the limit of the function lim (x,y) →(0,0) sin(√x² + y²) x² + y² f(x, y) as (x, y) →…

A: See this solution in below.

Q: Rewrite the following quadratic function in vertex form f(x) = a(x − h)² + k. f(x) = 6x² - 6x +1…

A: Given query is to find the quadratic form of the function n

Q: Find the exact length of the curve. 1 y² = 16(x + 1)³, 0≤x≤ 3, y>0 109/109 (217 217 (21717 X

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Q: Let f(x,y)=(−(5x+y))^7 . Then     ∂^2f/∂x∂y =     ∂^3f/∂x∂y∂x =     ∂^3f/∂x^2∂y =

A:

Q: Find the equation of the tangent line to the graph of f(x) = √x + 100 at the point (0, 10).

A: Given query is to find the equation of the tangent.

Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

A:

Q: 2. For the function f(t) graphed here, find the following limits or explain why they do not exist.…

A: Given the graph of a function

Q: For a particular function h, we know h 0 (2) = 6 and h(2) = −3. Write an equation for the line…

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Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

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Q: Find an equation for the plane that passes through the point (1, 8, −9)

A: we will find the required equation of plane .

Q: y = = 015 4. -2 13/ X

A: Given y=6x4,y=-2x3 The objective is to find the derivative of given functions.

Q: The number of ways to choose four questions out of ten questions on an essay test is 10P4.Determine…

A: Given: Total number of questions n = 10 Number of choosing questions r = 4 Formula Used: Prn The…

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

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Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: 4. Consider the initial value problem y = x+y, y(0) = 1. (a) Use Euler's method with h = 0.1 to…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. If 4. If the total cost function, in dollars, is C(x) = 2x³ -1 . Find the marginal average cost…

A: The objective of the question is determine the marginal average cost for the given cost function at…

Q: In 2004, an art collector paid $172,536,000 for a particular painting. The same painting sold for…

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Q: At t = 0, a train approaching a station begins decelerating from a speed of 104 mi/hr according to…

A:

Q: Write a word problem that can be solved by evaluating 7P3.

A: Given: 7P3. Formula Used: Prn = n!(n-r)!

Q: ach of the following questions, find the error(s). Then, write out the correct response Given…

A: Given query is to find the composite function.

Q: Use the formula for nPr to solve:In a production of West Side Story, eight actors are considered for…

A: Given data, n=8 r=3

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: The domain of f(x) is all real numbers except x - 3 x + 5 f(x) = Blank 1:

A: The objective of the question is determine the domain of the given function.

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - x = = Z-4 3 2 a) Find a set of…

A: The givne plane is π: 2x+y-3z-2=0 ........................................ (1)  and the lines l1:…

Q: Find an equation for the plane containing the two (parallel) lines v1 = (0, 1, −3) + t(8, 2, −1) and…

A: Find an equation for the plane containing the two (parallel) lines  v1 = (0, 1, −3) + t(8, 2, −1)…

Q: The answer was not correct... i think they were wanting some kind of answer closer to like…

A:

Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

A: Fundamental counting principle:- A rule for counting all possible outcomes in a scenario is known as…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) B.…

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Q: 1. Separation of variables/ a. xy³ dx + (y + 1)e *dy = 0

A:

Q: Evaluate the following integral using trigonometric substitution. x² 441-x² S dx

A: ∫x2441-x2dx

Q: Determine the slope and y-intercept of the graph of 3x - 5y = 30.

A: The given equation: 3x - 5y = 30 To determine: The slope and the y-intercept of the given equation.

Q: Let P = 1x, y2 be a point on the graph of y = x2 - 8.(a) Express the distance d from P to the point…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Describe what nPr represents.

A: what nPr represents:- The permutation is a specific orderly arrangement of the components.

Q: For the graph of the linear function f1x2 = mx + b, m isthe and b is the .

A: Given, fx=mx+b

Q: A tube is being stretched while maintaining its cylindrical shape. The height is increasing at the…

A: NOTE: Refresh your page if you can't see any equations. .   (height is increasing at a rate of 2…

Q: ntegrate the following. I 8x 12e dx - =

A: Given query is to find the integral.

Q: Given the differential equation: 2 y' + ²y = 6x²

A: To choose the appropriate method to be used to solve the given DE. Method 5: Exact Equation Method…

Q: The variable interest rate on a student loan changes eachJuly 1 based on the bank prime loan rate.…

A: Given for the years 1992–2007, The rate can be approximated by the model r(x)=−0.115x2+1.183x+5.623…

Q: Solve for the value of C in the equation: (2xy4e³ + 2xy³ + y)dx + (x²yªe¥ − x²y² – 3x)dy = 0 when…

A:

Q: Suppose that f1x2 = 4x - 1 and g1x2 = - 2x + 5.(a) Solve f1x2 = 0. (b) Solve f1x2 7 0.(c) Solve f1x2…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: (5) Find the center of mass of the region bounded by y = sin x between x = 0 and x = 7 above the…

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Q: Find Vz. = = sin(4y² - 6xy) NOTE: Give your answer in unit vector notation; that is, in terms of i…

A: Given; z=Sin(4y2-6xy)

Q: Sketch the region bounded by the curve x 2 = y and the line x = volume of the solid generated by…

A: solution:-the region bounded by y=x2-2 & x=y+2revolving around y=1

Q: N 10 9 8 7 6 5 3 2 1 2 Based on the graph above, estimate to one decimal place the average rate of…

A:

Q: Use the formula for nCr to solve:To win at LOTTO in the state of Florida, one must correctly select…

A: Given data, n=53 r=6

Q: These are the following jokes about books:. “Outside of a dog, a book is man’s best friend. Inside…

A: Given data There are six books about six