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A: A population numbers 11,000 organisms initially and grows by 8.5% each year. To write an exponential…

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A: Material available = 675 in2 It is a Rectangular box with square base. So, length = l in and breadth…

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Q: 3. Let f(x) = 3 - X, 82 X +1, x > 2. 3 x < 2 0 y = 3-x 2 y=2+1 4 → X a. Find lim,2+ f(x) and limx-2-…

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Q: Solve the differential equation. dy dx = y²c COS X

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A: Given data(a)

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A: We know for direct variation,.Where k is constant.

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A: The domain of a function is the set of all those points where the function gives a unique well…

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Q: lim f(x) = [Select] x-c function with nonzero denominator at x = c. for f any polynomial function or…

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Q: 5x + 32 = x2 +12

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Q: In t​ years, the population of a certain city grows from 600,000 to a size P given by…

A: The objective of the question is to find the growth rate of the population, the population after a…

Q: ווי Good yebilli C 4 of 13 Questions Ⓒ1 Question 2 of ∞ Attempts 2 Question 1 of ∞ Attempts 3…

A: The objective of the question is to find the instantaneous velocity of the wrench at a specific time…

Q: Find and simplify. f(x) = 6x - 1 (a) f(x + h) = f(x) (b) f(x +h)-f(x) h

A: Given f(x)=6x-1To find

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Q: Directions: The graph of function f(x) is given below. Use this to sketch the graph of its…

A: Given fraph of f(x)

Q: Question 2. Define the function and find the domain and range that represent the following graph #…

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Q: Question number 9. The graph of f(x) is given below. Given limf(x) does not exist, which of the…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find b so that the points (3,-4), (4, −6), and (b, —2) lie on a line. b =

A: Let suppose three points are If the above three points are on a same line then

Q: identify the values of the variable √/4-x

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Q: at the points where t = 2 and t = -2. For t = 2, the tangent line (in form y = mx + b) is y = For t=…

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Q: Let R be the rectangle consisting of all points (x, y) such that: 0≤ x ≤2 and 11. v R 1. Calculate e…

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Q: 1. The sample below represents the size of the accounts (in $1000) that a data analyst is dealing…

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Q: Evaluate the integral f(x)dr if -2 ƒ(x) = { |x|, 4-x, x≤ 2, x>2

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Q: Find the integral using integration by parts. fx lnx dx Select one: ○a. Sxinx dx = x²(8inx-x)+C 64…

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Q: Use the given graph of the function f to answer the following questions. -5 4 -3 -2 f(x) -1 8 7 6 5…

A: Given: To Find Part (1): To find the open interval(s) on which  is positive/negative.Part (2): To…

Q: Are the following statements true or false? ? ? ? 1. The line parametrized by x = = 7, y = 5t, z= 6…

A: Given statements The line parametrized by  is parallel to the x-axis.A parametrization of the graph…

Q: Use partial fractions to find f Select one: O a. S 0b. f = O c. x²+x+3 x + 6x² +9 O e. x²+x+3 x²+6x²…

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Q: Find the linear approximation for f(x) Answer L(x) = -x+2/ = cos x at x =3/2

A: Linear approximation of f(x) at x=a is given by

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A: Given a surface S the normal vector to the surface at the point A is given by

Q: Mary is training for the London Marathon. She runs 1 mile on day 1 and increases the distance she…

A: Let the number of days be shown by x.Let the number of miles be shown by y.

Q: A particle moves along the x-axis in such a way that its acceleration at time t for t is given by…

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Q: (a) Find the point at which the given lines intersect. r = (2, 3,0) + t(3, -3, 3) r = (5, 0, 3) +…

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Q: 12. Consider that the inflation rate in a six-year period in Mexico behaves according to the…

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Q: surface area: an open rectangular box is to be 4 feet long and have a volume of 200 cubic feet. Find…

A: an open rectangular box is to be 4 feet long and have a volume of 200 cubic feet. Find the…

Q: Use the figure to identify all angles between 0 and 27 satisfying the condition csc (0) = -2. SA 6 T…

A: Given that the figures and

Q: What is one third of 325?

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Q: State whether the following is true or false by differentiation. [ cos² (x) dx = 2 x 1/x + 1/…

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Q: A rectangular box is to have a square base and a volume of 40 ft3. The material for the base costs…

A: volume of rectangular box= 40ft3material for the base costs= 40material for the side costs=…

Q: Calculate the following iterated integral. 3x ["(" ydy) de = dx X

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Q: CONVERT THE EQUATION TO GENERAL FORM (x +10)² + (y + 12)³² = 16

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Q: Give an example of a pair of series (an, bn) = and a 2 n n=1 2ºn n=1 with positive terms where lim…

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Q: Q₂: The number of yeast cells in culture increases rapidly initially but levels off eventually. The…

A: The number of yeast cells in a laboratory culture increases rapidly initially but levels off…

Q: Q1: Use logarithmic differentiation to find the derivative of the function = (cos (2x))x y =

A: Given Function is as follows As we know that