Consider the following. X-8 lim x-1 x² - 4x - 32 Create a table of values for the function. (Round your answers to four decimal places.) X f(x) lim 0.9 11 0.99 25 0.999 1.001 Use the table to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.) X-8 1.01 1.1

Q: The volume of a sphere is given by where r is the radius. Find the volume, in cubic inches, when the…

A: The given problem is solved below in detail.

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A: To determine an equation fon (gof)(x).

Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 48…

A: Solution:

Q: simplified

A: Please refer to the image below

Q: Transform the equation y' differential equation. O (1 + x²) dx - dy = 0 O (1 + x²) dx 2x 0₁dx 1 + x²…

A: y'=2xy1+x2

Q: 2. Evaluate a) 512 (1) ³ b) -512 c) 512 -1 d) 512

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Q: X y 2 3 4 7 8 5 7 9 5. 10 11 X 12 y 3 14 5 6. 12 7 18 9 11 11

A: Here, the domain of the function is the set of input values, that are x, and the range is the set of…

Q: The graph shown is of the function ? 3th 2 a) y = cotx b) y = sinx c) y = tanx d) y = secx 2 y 4 2 0…

A: We know as x tends to nπ tanx tends to infinity for every integer n.

Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: Algebraically determine the limit: a) lim tan(x) 7m H4 (Hint for part b. Consider the quadrant and…

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Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: We have to determine the time necessary for the number of bacteria to triple.

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Q: •= (L) ! Au — ит!

A: Please see the below picture for detailed solution.

Q: 2. LEARNING ACTIVITIES Directions: Give the coordinates of the center, foci, vertices, and…

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Q: If f(x) =−3x + 2 and g(x) = x² − 3x + 5, find: a) fog(x) b)go f(x)

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Q: What is the maximum number of real distinct roots that a quartic equation can have? a) infinitely…

A: ## we want to find out that how many real distinct roots that a quartic equation can have.

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

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A: Given x62+y62=1 in the first quadrant  ∫C4x-5yds=

Q: solution. 1. The center of the circle is at (-3,7) and goes through the origin. 2. The center of the…

A: Topic = Circle As per guidelines, At a time only three sub-parts can be answered.

Q: 1. Four bugs are placed at the four corners of a unit square. The bugs crawl counterclockwise at the…

A: Concept: The cartesian coordinates for these two bugs are given by (rcosθ,rsinθ) ; (-rsinθ,rcosθ)…

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

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Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

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Q: Give an equation for a transformed sine function with an amplitude of 3, a period of J π 4' and a…

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Q: What is the particular solution of ayda (+2) dy=0 when z = 0 and y = 1? O e* = 4y(x + 2)² ○ 4e* =…

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Q: Which of the following functions are even? i) f(x)=-x* ii) ƒ(x) = ²/12 x -()* iv) f(x) = log₂x v)…

A: Here we have to choose the correct option.

Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

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Q: Refer to the following information on full-term births in the United States over a given period of…

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Q: Solve 2sinx + 1 = 0 on the interval x = [0, 2π], to the nearest hundredth of a radian. a) x=210,…

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Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: Convert the angle 4 from radians to deg

A: Topic:- trigonometry

Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

A: We can find the answer in the following steps.

Q: Write an equation of the form y=a sin bx Ol ↑y. BIN 4 4- 2. NAI 3π 37 4

A: Standard equationy=asinbxhere|a| is amplitude2πbis period

Q: 9. Which is a transformation applied to the base function of f(x) = (4x a) A vertical translation of…

A:

Q: help

A: Please refer to the image below

Q: Consider the various types of functions that can be used for mathematical models, which types of…

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Q: Consider the parametric curve Determine which of the following graphs is the correct image of this…

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Q: Seven people are arranged in a line. What is the probability that two specific people, say A and B,…

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Q: Find the derivative of the function. y = x²√√√49 - x² V y' =

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Q: 1. (a) f(-2) (cf (1) ๆ -3 (b) f(−1) (d) f(1.5) 3

A: The graph of the function is:

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A: To find out the average rate of change between the given years.

Q: An arc of length 19 meters subtends a central angle of 294 in a circle. a) Find the circumference of…

A: Topic:- geometry

Q: If ƒ(2)=4, ƒ(5)=8,g=3 and g(3)=2 determine ƒ(3) .

A: The given function values f2=4, f5=8, g1=3 and g3=2 we need to find the value of fg3

Q: a) Convert 160 degrees to radians: π b) Convert to degrees: 18 radians

A: Please refer to the image below

Q: At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is -10°F (ten…

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Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: To find the derivative of given function

Q: x³ - 3x²y = C

A: