18. Use Cylindrical shells method to find the volume of the solid that results when the area of the region enclosed by y=x² +1, y = 0, x= 0 and x = 1 is revolved about y-axis.

Q: 10. Use the squeeze theorem to find lim f(x) if 2x+2 ≤ f(x) ≤ x² +3. x-1

A: Given: Use the squeeze theorem to find limx→1f(x) if 2x+2≤f(x)≤x2+3

Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Give an example of a function f(x) that is continuous for all values of x except x=2, where it has a…

A: We have to solve question with concept of removable discontinuity

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: {(1.-).(2-3) (0,5), (1.3),(4,5), (-1,5),(4-4) 6. § (3,-2). (-8.-7), (0,6).(-3,4),(6-³3).(-1,6),…

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Q: 9. 54 = a¹

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Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

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Q: Given the graph of f(x) shown, answer the following. f(x) 4 (a) What is f-1(−1)? -2 15 10 5 5 10 -15…

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Q: (5) A unit disk centered at the origin is sliced so that the right portion has width h. De- rive a…

A: Given fx=1-x2 width of the slice is h

Q: Let CCR² be the circle with radius 6 centered at the origin. Let F: R² → R² be the vector field…

A: The objective of the question is determine the flux of given F under C

Q: City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) =…

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Q: ASAP

A: Please refer to the image below

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Let f(x)= -7x^2-8x, if x<1 4, if x=1. 5x-2, if…

A: Concept: Left hand limit: The value of a function that approaches when a variable gets close to its…

Q: Write an equation for a rat Vertical asym Enclose numerators and de Include a multiplication sign…

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Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

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

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: The objective of the question is determine the amount after the given year end .

Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

Q: A function is given below. Determine the average rate of change of the function between t = 2…

A: Given function, f(t)=7t   from t=2  to t=2+h

Q: (a) Σ(1/7)", (b) (1/7)" where k is a nonnegative integer, n=k (c) Σ07" /n!, n=0

A: We have to evaluate the value of series in this question.

Q: PV n=KI Solve for x using the system of equations. 6. 7y = 5x and 35 + 4x = 3y 9 + 3x = 2y and 5yx =…

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Q: CONTINUATION OF QUETION     Find the values of x for which g(x) ≤ 0. -  [−1, 1.8] and 4 -…

A: Let's solve.

Q: log₂log 1 (x − 6) < 0 2

A: Here we are asked to solve the inequality: log2log12x-6&lt;0

Q: use the limit comparison test to determine if the following series converges or diverges (hint :…

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Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: Complete the description of the piecewise function graphed below. -7 to -5 -4 /-3 { f(x) = { { 6 5 4…

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Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

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Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

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Q: Represent N/ks^2 in the correct SI form.

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Q: average

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Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: 13. Recall that nonzero vectors u and are called collinear if there exists = a nonzero scalar a such…

A: Given data:- Nonzero vectors are u→ &amp; v→ Nonzero scalar α v→=αu→

Q: B] Find the domains of the following relations. Write them in interval notation. 1) f(x)=√x-9 2)…

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Q: For each function below, find the derivative. DO NOT use decimals in your answers. If f(x) = 2x5…

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Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: State the domain of the following graph. 46 55 14 D (1.2.3.3.4.5) KD) (-2,-1.0.1.31 is 0.1.21 44 H(5

A: what is domain of function ? here graph is given  domain : input value of function here x is input…

Q: Evaluate the line integral F. dr where F = (3 sin x, 3 cos y, 10xz) and C is the path given by r(t)…

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Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: Researchers developed a function that can be used to accurately predict the weight of female cows,…

A: Researchers developed a function that can be used to accurately predict the weight of female cows,…

Q: Find the distance from the point (1, 5, 5) to the line x = 0, y = 5 + t, z = 5 + 5t.

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Q: A company produces a special new type of TV. The company has fixed costs of $455,000, and it costs…

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Q: numbers a and b, or k, so that f is continuous at every point. 4) x2, x -4 A) a = -9, b = 20 120 15)…

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Q: Determine the range of the linear relation graphed below. -4 - y≤ 5 ⒸV-3 V> 3 --- -2 -1 6- 5- 4 3 1-…

A: Maximum value of y = 5

Q: where  h ≠ 0. f(x) =  5 x + 4

A: