1. Evaluate. (a) In (e) (c) 26 (e) tan-¹ (1)

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Q: Find the absolute min and max values of each function on the given interval. f(x) = x³ - 6x² - 15x +…

A: Given function f(x)=x3-6x2-15x+1

Q: 2. Casey cut an 8-foot board into three sections. Two of the pieces each have length n feet. Write…

A: We can find the length of the third piece.

Q: Calculate the sum of the series S n = 2 - 8(0.9)" Σ an n = 1 whose partial sums are given.

A: We want to calculate the sum of the given series whose partial sums are given.

Q: csc 2x lim *+0 csc 3x O O O O 23 N|C I N|W 3 2 23

A: Topic - limits We are given, limx→0-csc 2xcsc 3xwe know thatlimx→0sin xx=1anscsc x =1sin x

Q: CHAPTER 2 You are the manager of a donut shop. Presently, you sell your donuts for $1.00 each and…

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Q: 3. Let F(x)= √²+1 √²+1-2 Find f,g, and h, such that fogoh = F.

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Q: 33 What value of 6 would give the following function f(x) = x³ + bx² − 5x + C Select one…

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Q: Evaluate the definite integral. π/2 9 cos(x) sin(sin(x)) dx

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Q: I find the limit. Use l'Hospital's Rule where appropiste. If l' Hospital's Role does not, find the…

A: limu→0u+u45-u2

Q: 27. If = xy² 7-2x²yz7-3yz² find curl 7 at the point (1,-1, 1)

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Q: Find all critical points and then use the first-derivative test to determine local maxima and…

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Q: Find the inverse of the relation {(7.8), (4,6), (², 4), (0, 3), (8, -3)}

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Q: Factoring this, we get F(x)=2x3+24x+12x3² + 12x + 6). Since is never 0, then F(x)=0 when x² 12x+6=0,…

A: Given:- f''x=2x-3+24x-4+12x-5

Q: 8 k=1 √k 1+k²

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Q: What is the Horizontal aysmptote of g(x) = x/(x2+1) f(x) = lnx/x f(x) = (x+1)/(x-1)

A: Here we have to find the horizontal asymptote.

Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

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Q: The function f(x) = 3 - 2x is defined for the given domain -2 ≤ x ≤ 2. What is the range? (A)7 ≤…

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Q: Q6 (402onsider the polynomial f(x) = (x-a)³(x - b)²(x - c), for real numbers a, b, and c. Read each…

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Q: Find a simplified expression for tan (sin¯¹(7-))

A: Given tansin-1x7

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Q: 25-32 Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Determine the solution for the following higher-order homogeneous differential equation. Also,…

A: Concept: In order to answer this particular question, we will employ the idea that the sum of a…

Q: Consider the equation: |x+1| +5=3x a) Solve to find all potential solutions. b) Verify each…

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Q: Find the values of a and b that make f continuous everywhere. a = II f(x) = x² - 4 X-2 ax² 4x = a +…

A: Given function:- fx=x2-4x-2if x&lt;2ax2-bx+3if 2≤x&lt;34x-a+bif x≥3

Q: (a) Find the largest number & such that if |x-1| < 6, then |4x − 4| < &, where ε = 0.1. 8 ≤ (b)…

A: Given data, 4x-4&lt;ε where, ε=0.1

Q: 6 When a theater owner charges $5 for admission, there is an average attendance of 180 peopre. For…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: B. Word Problems: Solve the following word problems. Express all answers in simplest form with the…

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Q: G. The graph of f(x) is given below and a table of selected values is given for the function g(x). 2…

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Q: 2+2x sin(y)-2y^2 = C 2+2x cos(y)- 2y^2 - C x^2 + x sin(y)- y^2=C 2x^2 + x cos(y)- y^2-C (x+sin y)

A: Topic:- application of integration and differential equations

Q: 3.1. Express each of the fol (a). (√2-i) - i(1 -√2i), (b) 2i

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: find zeroes of x^3-3x^2-13x+15

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Q: Escoge la mejor contestación 1. Identifique la superficie cuadrica 2² =²+² 16 a. Cono elíptico b.…

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Q: The rate of change of the area is cm²2/min. (Type an exact answer in terms of x.) min. At rate is…

A: To find the rate at which area is increasing

Q: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

A: A rectangular box is to have a square base and a volume of 160 ft3. If the material for the base…

Q: iii. S 205x 25x4 dx

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Q: Determine whether the series Σ (3) n=0 n is convergent or divergent, and if convergent, find its…

A: need to find out that the series is convergent, or Divergent and also need to find its sum

Q: Write down the derivative of (a) y = ln(3x) * (x > 0) (b) y = ln(- 13x) * (x < 0)

A: Given:      y=ln3x then derivative:       dydx=ddxln3x         we know that…

Q: 35-38 Find y" by implicit differentiation. 36. x² + xy + y² = 3

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Q: 10- 8- 6- 4. 2- NY of y = f(x) -2 4 6 -8 Xx 10

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Q: A continuous function y = f(x) is known to be negative at x = 1 and positive at x = 4. Why does the…

A: A function with no breaks is a continuous function.

Q: Find and classify the stationary points of (a) y = x  e- x (b) y = ln(x) - x

A: For stationary point of the function , the derivative is equal to zero .

Q: (a) Where does the normal line to the ellipse x2 -xy + y2  = 3at the point  (-1, 1)intersect…

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Q: Consider the function f(x) = 7x + 6x For this function there are four important intervals: ( − ∞,…

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Q: QUESTION 16 A line integral in two dimensions may be written as F(x, y)dw. What does (i) F(x, y),…

A: We need to tell about the line integrals in 2 dimensions. Line integrals appear as one of 2 kinds As…

Q: 5(x - 2)²/3. For this function there are two important intervals: (-∞, A) and (A, ∞) where A is a…

A: The objective of the question is choose the correct option.

Q: a rational function f is shown below. The gra, Assume that all asymptotes and intercepts are shown…

A: Given query is to find charayof the graph.

Q: Find the interval(s) where the function is in g(x)=x³+3x²+11

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Q: Which of the following is  F(x)+C  for  F(x)=∫f(x)dx=∫(3e^x+2sin⁡x)dx  and  F(0)=0  ? Select one…

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