dentify the circle that has center (4, -2) and radius 4. Select the correct answer below: (x-4)² + (y-2)² = 16 ○ (x + 2)² + (y − 4)² = 16 ○ (x+4)² + (y - 2)² = 16 ○ (x+4)² + (y + 2)² = 16 ○ (x − 2)² + (y + 4)² = 16 ○ (x − 4)² + (y + 2)² = 16

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A: Let's differentiate given function.

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Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

A: Given query is to find indicated composite function.

Q: Consider the following functions. f(x) = x², g(x)=√x-7 Find (fog)(x).

A: Given,            fx=x2 , gx=x-7

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Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: 5) Find the divergence of (√x² + y² + z² 5) kî + yî yj + zk)

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Q: ppose that x = f(y) is determined from the equation y = x + sin(3x) on a neighborhood of O. Find…

A: Given query is to find indicated derivative.

Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: X √√ ( 2² + 2)² This can be transformed into a basic integral by letting Consider the indefinite…

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Q: (b) n=1 3 2n-1

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Q: en the graph below, solve the following inequality: g(r) > 0 +10 + 80 9 8 7 -8-7-6-5-4-3 54 6543 2…

A: Given query is to solve the inequality.

Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

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Q: Let f(x) = x for x < 0 and f(x) = sin(x) for x ≥ 0. Match the following. Here DNE means does not…

A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: (d) Given the graph of f (x) below (blue), select the correct graph of the transformation y = f(x +…

A: To do transformation on given function f and determine its graph.

Q: can you please explain further what is being said I do not understand

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Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…

A: We will find the required

Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Let H be a function (in cm) which models the average height of a month old pea plant if given w L of…

A: Let H be a function in cm which models the arerage height of a month old pea plant if given w L of…

Q: An airplane flies at an altitude of a = 6 miles towards a point directly over an observer. Consider…

A: According to question,Given data,a = 6 miles,x = 10 miles,Speed of the plane = 400 miles per hour.

Q: Find all points (x,y) on the graph of f(x) = 3x² - 4x with tangent lines parallel to the line y =…

A: Please see the below picture for detailed solution.

Q: = Find the area of the region that is completely bounded by the two curves f(x) = g(x) = x² − 7x +…

A: Given query is to find the area of the region.

Q: Given that f(x) = x² – 13x and g(x) = x + 6, find: a) (f + g)(4) = b) (f - g)(4) = c) (fg)(4) = d)…

A: Topic = Functions

Q: Find the derivative of the function. y' = y = 3 tan-¹(x - √₁+ 1 x² +

A:

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: A closed box with a square bottom has a total surface area (all 6 sides) of 400 square inches.…

A: We have given a box with a square bottom length = width = w inches Surface area = 400 in2 Surface…

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Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .

Q: A ladder 15 feet long is leaning against the wall of a house (see the figure below). The base of the…

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Q: Find an equation of the tangent plane to the given surface at the specified point. Z= In(x - 2y),…

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Q: Find the area of the following region. The region inside the inner loop of the limaçon r=5+10 cos 0…

A: Please see the below picture for detailed solution.

Q: Find lim Le sin x] if the limit exists, where [-] denotes the greatest integer function. See page…

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Q: Given the absolute function graphed below, find the following: -3 -12 a) Domain: b) Range: 6…

A: Answering the first three subparts of the question,

Q: Use the Divergence Theorem to evaluate the surface integral fF.dS where F(x, y, z) = 2₁ 56.

A: Please see the below picture for detailed solution.

Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value…

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Q: A glass sphere given by the equation (-1)+(y-2)²+(-3)² = 36 is floating above the plane 2x+y-2x =…

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Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

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Q: Find dy/dx by implicit differentiation. 7x²y + 4y²x = -1 dy/dx =

A: Given query is to find derivative.

Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: uestion 1: For the graph of the circle below whose equation is of the form (x-h)²+(y-k)² = r2, enter…

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Q: 2. Test the following series for convergence or divergence. If converge find its sum. Indicate the…

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