Compute the first three derivatives of f(x) and then state the formula for the nth derivative of f(x), if f(x)==- X

Q: 32. Sketch the following vectors, and find their components and lengths: (a) 4i +3j - 2k (b) i+j+k…

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Q: In problems 11-12, express each limit as a definite integral. (they are given using right endpoints)…

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Q: Use the Fundamental Counting Principle to solve:Five singers are to perform at a night club. One of…

A: Given data:- There are five singers, one singer is want to show open and another singer wants to…

Q: Find equations of the tangent plane and normal line to the surface x = 3y² + 4z²106 at the point (6,…

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Q: For the piecewise linear function, find the following. (If an answer does not exist, enter DNE.) 15-…

A: Given query is to find indicated limit.

Q: 28. Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

A: Given query is to find marginal profit at indicated point.

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: y=5(x^(2)+3)^(5)+9(x^(2)-1)^(2x) then (dy)/(dx)

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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: Similarly, approaching along the y-axis yields a limit equal to 0. Since these two limits are the…

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: Find parametric equations representing the line segment joining P(-3, 2) to Q(2, -1) as (x(t),…

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Q: The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the…

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Q: the cable of a suspension bridge hangs in the form of a parabola. the distance between two towers is…

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Q: Graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the…

A: Concept used: Graphing A graph of a function is a line that represents the function on a coordinate…

Q: Find the general form of f if f'(x) = 5f(x) f(x) =

A: Given query is to find the value of the integral.

Q: x=t+3 and y=²+2t Part: 0/2 Part 1 of 2 (a) Eliminate the parameter and write an equation in…

A: The parametric equations are x = t+3                         .........1y = t2+2t…

Q: Given the following functions: f(u)=u^5/2 and g(x)=x^6+1. Find f(g(x))= f′(u)= f′(g(x))= g′(x)=…

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

A: Solution

Q: Use the disk method to find the volume of the solid obtained by rotating the region bounded by x = 1…

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Q: Find all the critical numbers of f(x) = 2x4-4x³+3x²+2, then determine the local minimum and maximum…

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Q: Find a formula for each function graphed in Exercises 29. а. b. (1, 1) 2 30. а. b. 2 0 30 (2, 1) 2…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the derivative of: – 7 sin² ( – 8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule…

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Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours and…

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Q: Find the following limit. lim x-x 2+ x - 4x³-4 5 x³x²+1 Number

A: ans=  -4/5

Q: 1. y peax cosbx + peax sin bx ; a and b are parameters

A: According to given ,1st is solved.y=ϕeaxcosbx+ψeaxsinbxhere 2 constant then 2 times derivative

Q: Find the slope of the line containing the points (3, - 2) and (1, 6).

A: Given data:- The given points of line is, 3, -2 and 1, 6

Q: parts remaining Evaluate using integration by parts or substitution. Check by differentiating. (3x²…

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Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

Q: A wooden beam has a rectangular cross section of height h and width w (see figure). The strength S…

A: Given :d=46 cm

Q: Calculate ㅠ 2 6³ cos² (4x) sin² (4x) dx

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Q: A corporation has seven members on its board of directors. In how many different ways can it elect a…

A: There are 4 different positions: president, vice-president, secretary, and treasurer. Therefore, we…

Q: Three hundred books sell for $40 each, resulting in a revenue of(300)($40) = $12,000. For each $5…

A: Given: Price per book = $40 Resulting revenue was (300)($40)=$12,000 For each $5 increase in price,…

Q: A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a…

A: Given data, n=40 r=8

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

A: The given differential equation is x-ytan-1yxdx+xtan-1yxdy=0

Q: I used the permutations formula to determine the number of ways people can select their 9 favorite…

A: The following claim: "I used the permutations method to calculate how many different possibilities…

Q: Use the first derivative test to determine all local minimum and m points of the function y=x³-6x²…

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

A: Question: Please have a systematic way of solnerate solution of the first-order differential…

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

A: ∫x2441-x2dx

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

Q: Your friend is at the top of a building which you know to be exactly 100 feet high. She throws a…

A: We need to estimate downward speed.

Q: 14. A rock is thrown vertically into the air, after t seconds the height of the rock in feet is…

A: Given query is to find the the velocity of the rock.

Q: In Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2     2. ƒ(x) = 1 - 2x3.…

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

Q: You are taking a multiple-choice test that has ten questions. Each of the questions has four answer…

A: There are 10 questions in the test and each question has 4 answer choices with one correct answer.

Q: A restaurant dinner menu includes the following statement. "All dinners are served with a choice of:…

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Q: lim asin x→0 | cr x

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Q: f(x) = In (x + 9)

A: Given  f(x) = ln ( x + 9 )

Q: Evaluate the following integral. z+7 z(z²+9) dz

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Q: Set up the integral to be used to find the volume V, using both methods from Chapter 7, of the solid…

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