What is the average velocity of the curve y= square root of ( x2-2x) over the interval of [ 2,7]

Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

A: The given function is g(x)=4-x4-x We have to find the domain of a the function . Domain of a…

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

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Q: 1. In each of the following initial value problems, determine the maximal interval in which the…

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Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 8-π/2 1+cos20 3) lim

A: limθ→π2 1-sinθ1+cos2θ

Q: x Find z, if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t =

A: Here Given z = xyexy  Now to Find zt means Partial derivative of z with respect to t. Also given x =…

Q: 1.) Graph the system of inequalities using the linear combination/substitution method (addition, not…

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Q: or For the given function f(x) and numbers L, c, and e> 0, find an open interval about c on which…

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Q: (dy/dx) + 2y = sin2x First-class homogeneous DE Second degree homogeneous O DE second order DE…

A: Given differential equation has function of x only on right hand side.  So, it is heterogeneous…

Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a…

A: Let's find value of L.

Q: values ( Vinx dx using the S 1 x method where Rom brook Equal A) 0-64lot Bo 65806 00-6637 O 6112 4=…

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Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: Cost of one case= P400 The selling price of one case= Px  Number of cases sold per month=300-2x

Q: Find dy dt || dy dt for y = sin 2 (3nt – 4).

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Q: Find the integrals: 1- xdx A. -2/3 (1-x)3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3…

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Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: . Find and interpret the derivative at point a. Select the correct answer below and fill in the…

A: Given graph: To find: The derivative at point a =?

Q: 4. A company's average variable costs are given by a function 0,202-7Q + 150. Find out where the…

A: Given Average Cost :- FQ=0.2Q2-7Q+150

Q: Name: 1. Find the value of b for which the given equation is exact. Then solve it using that value…

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Q: For the function g whose graph is given below, arrange the following values in increasing order. A:…

A: Graph:-

Q: b) ay+3y=0; y(1) = 2,

A: We have to solve the given differential equation. According to our guideline we are supposed to…

Q: Find an equation of the tangent plane to the given surface at the specified point z = 6(x - 1)² +…

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Q: Construct the truth tables for the given compound statements. 1. ~p ^ ~q р T T F F q T F T F ~P ~q…

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Q: (6x+y²) dx + (2xy-3y²) dy

A: The given differential equation:6x+y2dx+2xy-3y2dy=0.We need to solve the general solution.

Q: y(x) = C₁ e ² + C₂ e ²*, + 4 SiN X, Y (0) = 1, y' (0) = -1

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Q: Find the minimum solution z(x) = 2x^3 + 3x^2 -12x +5 in the interval of [0,4] using newton's…

A: the root of function is calculated by below method

Q: t costs $90 to rent a car driven 100 miles and $140 for one driven 200 miles. If x is the number of…

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Q: Let A = {7, 2, 6, 8, 3, 5} B = {4, 2, 8, 9} and U be the universal set of natural numbers less than…

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Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: 17.) Find the derivative using the quotient rule. f(x)

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Q: Find the discontinuities of the function f(x) = = discontinuity and redefine if removable. x-1 ex x…

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Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: We can solve the given differential equation .

Q: Let A = {4, 3, 5, 7, 10, 6} B = {8, 3, 7, 1} and U be the universal set of natural numbers less than…

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Q: A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into…

A: Given :General equation is : Pt=P0ektGiven, intially 50 cells are present

Q: Simplify and write the trigonometric expression in terms of sine and cosine: tan x csc x=1/f(x)…

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Q: Given f(x, y, z) = xyz, find fyxy

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Q: 8 x²+2 2 √x dx

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Q: 10.) Find the simplified form of the difference quotient. f(x)=x² + x

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Q: From the information given, find the quadrant in which the terminal point determined by tt lies.…

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Q: 1. Graph the following function on the board: f(x)= 0 1+x 1-x 0 -∞0 < x < -1 -1<x<0 0≤x<+1 +1<x<+∞o

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: (d) The sum of two divergent series of real numbers is always divergent. (e) If (r) is a convergent…

A: Please see the below picture for detailed solution .

Q: : Find the GS of y' + 2xy + y² = a² −1-x²

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: y" + 4y = sinx

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Q: Find

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Q: 2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the…

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Q: n a circle of radius 6 miles, the length of the arc that subtends a central angle of 1 radians is…

A: Given:- Radius of circle r=6 miles Central angle =1 radians

Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: Find differential equations for the following families of curves: (a) x2 + cy² = 1, (b) y² = ax + b.

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Q: Stopping Distance A car is traveling at a rate of 50 feet per second when the brakes are applied.…

A: The Solution is given below: