In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C = √XX PS {X/X PS real number and x=0} is a letter of word farmer] an integer b/w -ly!? 4_D² Cx|x is apositive integer D= {X/X Such 4+x=3} ・that 4+x

Q: ( Describe the end behavior of the function h(x) shown, using limits at infinity. 3 2.5 2 1.5 1 0.5…

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 2 + 2x - x²,…

A: The given function fx=2+2x-x2 we have to find the difference quotient f5+h-f5h

Q: H(t) = -15 16 -15 - +² Sketch the graph of the function. 4-t - 10 - 10 -5 -5 H(t) 20 15 10 $5 H(t)…

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Q: What does it mean, graphically and algebraically, for an equation to be even or odd? How would you…

A: we will do as required.

Q: If you count from 10 to 120, how many 5's will you find along the way?

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Q: Find the outward flux of the vector field F = (x³, y³, z²) across the surface of the region that is…

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Q: Consider the function defined as follows: f(x) = 5x² f(x+h)-f(x) and completely simplify your…

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Q: of the shaded region. y = x² - - 15 x (-4,-4) 20 10 -10 - 20

A: The equation of the curves are: C1: y = x3-15x C2: y = x The graph of the curves To evaluate: The…

Q: make

A: We have to find the following conditions according to the given information

Q: - 24 (a) lim f(x) X-8 (b) lim f(x) X-8 -16 -8 16 BO -8 - 16 -24 00 8 16 24 X

A: Limit gives the approaching value of the function when you start going close to the point.  1. If…

Q: Consider the function f(x) = 4x + 2. (a) Estimate the area between the graph of f and the x-axis…

A: given f(x)=4x+2a=0 to b=3n=6 (no. of rectangles)Δx=b-anΔx=3-06=12

Q: Solve the system 23x = 92y = 115 -11 X +444 = -55 (x, y) = IS Is there a solution ?

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Q: (6) Set up but do not evaluate the integral representing the volume of the region (circular…

A: Given Ellipse, ax2+by2=r2That isby2=r2-ax2y2=1b(r2-ax2) ax2+by2=r2Divide r2 on both…

Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: Q3: A. Find Wer if W = f(x, y) {x = reost, y = rsint W₁,

A: From chain rule we know if w=f(x,y) and x=g(r,t) and y=h(r,t) then, ∂w∂r=∂w∂x∂x∂r+∂w∂y∂y∂r

Q: Let f and g be functions defined as f(x)=x²- 2x + 4 and 25 4 DNE 1 g(x) = 3x² + ²3. If h(x) ≥ g(x)…

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Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: We can answer the question in the below steps.

Q: 3) Given f(x) = x² - 2x - 8 A) find the derivative f '(x) by solving lim [f(x+h)-f(x)] h→0 ALWAYS…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 7. Evaluate: lim h→0 √9+h-3 h

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Q: f(x) = 9+x= x + 1 f(x) = f(4) X-4

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Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: f(x) = 4x2 − x + 2,  find the following.

A: Solution is given below:

Q: Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

A: Let's find value of given trigonometric function.

Q: 20. An aquarium contains 10 gallons of polluted water. A filter is attached to this aquarium which…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

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: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: 2. tan o C √उ, oe all

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Q: Q3: What are the ways tha

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Q: question 21. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine…

A: We will find the required.

Q: 5T A positive angle less than 47 that is coterminal to 4 Part: 1/2 Part 2 of 2 is 57 A negative…

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Q: Solve the given equation on the interval 0 ≤ 0 ≤ 27: tan 0+1=0

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Q: Let limx-2 f(x)=-3, and limx-2 g(x)=4, Find limx-2 [f(x)/5g(x) +2f(x)g(x)]

A: Topic = Limits

Q: Find the unit normal vector for the vector-valued function r(t)=(t^2-3t)i + (4t+1)j and evaluate it…

A: Given data:- Vector-valued function, rt=t2-3ti + 4t+1j Evaluate at t=2

Q: For each scatter plot, decide what type of function you might choose as a model for the data. (a) ya…

A: Graphs

Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y = √x about the…

A: Given problem:-- Find the volume of the solid obtained by rotating the region bounded by y = x and…

Q: Question 2 19-√5 Part A: Given sin 8. determine three possible angles on the domain [0,0⁰). Part B:…

A: See the details solution in below

Q: Sketch

A: Please refer to the image below

Q: C. Find the standard form of the equation of a circle given the following conditions. 10 10. Passes…

A: We can solve it by various method but i solved it as shown below.

Q: 2) y"+y' - 1 = 3 cos(x)

A: 2.

Q: 5.) Find the limit. When necessary, state that the limit does not exist. x² + 3x-18 lim Xx-3 x-9

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Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: A) x4-(y-1)4 lim (x,y)→(0,1) x²+(y-1)² = 0

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Q: The table of values was generated by a graphing utility with a TABLE feature. Use the table to…

A: The intersection points of the graphs Y 1 and Y2  are the ordered pairs that satisfy the condition(…

Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

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Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: Q: A. Find if w = xy + z.x= cost.y = sint and z = t at t = 0.

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Q: For the differential equation ty' - y = t²e-¹, 1. Draw a direction field for the differential…

A: Solution

Q: 3) Prove that : tanz = 올n(부를) In

A: