Find the integral value of given function with Romberg method. (k=0-4) I = 2x2 + 4

Q: If a is a positive constant, what is the solution to the equation 3 + 2 ln(x) = ln(a)?

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Q: Give the center and radius of the circle described by the equation and graph the equation. Use the g...

A: To draw the graph of  x2 + y2 = 81 And to find the domain and range 

Q: How do you find the the moment M, of p(x, y) on a region R? O You compute /| ryp(x, y) dA You comput...

A: The moment is given as  = Mass * perpendicular distance. The mass is given as = density * Volume . A...

Q: Determine the linearization of y = 4 – 2x at (1, 2). Then use it to approximate the value of y when ...

A: It is given that, y=4-2x2  at 1,2 we have to determine the linearization of function. Then use it to...

Q: need to answer that show the answwer. zeros of polynomials  1)Determine the number of zeros of the p...

A: As per bartleby guidelines for more than 3 questions asked only first is to be answered please uploa...

Q: A car rental agency rents 220 cars per day at a rate of $20 per day. For each $1 increase in rate, 5...

A: Let x dollars be the increase in rate , then decrease in number of cars rented is 5x.  Then , the ag...

Q: erify that the general solution satisfies the differential y = C, + Cz In x ху" + у' - 0 y = 0 when ...

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Q: Find the points of inflection and discuss the concavity of the graph of the function: f(x) = sin(x) ...

A: F(x) is defined and continuous on the interval 0,2π The first derivative of fx=sin(x)+cos(x) is f'(x...

Q: A ladder 15 feet long is leaning against a house. The base of the ladder is pulled away from the wal...

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Q: lim x->3 (x2 +9/x-3)

A: Given,          limx→3x2+9x-3

Q: Please explain

A: a) f(x) will be increasing if f(x) moves upwards while going to the right side.That occurs between (...

Q: Find the critical numbers and identify the points for the absolute extrema on the given interval.

A: The function is f(t)=t2t2+3.

Q: A farmer has 400 feet of fencing to enclose 3 adjacent rectangular pig pens. What dimensions should ...

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Q: What is the inverse of a function from A to B under function composition?

A: Let f : A→B be a bijective function.

Q: Find all solutions to the following triangle. (Round your answers to one decimal place. If either tr...

A: Find the explanation below 

Q: QUESTION 8 The ideal gas law says that the pressure, volume, and temperature of an ideal gas are rel...

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Q: Use the tables to evaluate the following expressions, if possible. x -1 2 3 f(x) -3 3 1 x...

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Q: Find the maximum value of f(x) = 4 – a²in the interval [-2, 2]. O The absolute maximum value is 4 at...

A: Here we want to find the maximum value of the given function in and corresponding value of x. Here w...

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-1,...

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Q: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

A: Given- fx=5x+12c if x<-5cx2+1   if x≥-5 To find- The value of c that  the above function is conti...

Q: • [6 pts] Using data from the first 3 years of production as well as geological studies, the managem...

A: Given- dQdt=100t+1+5   0≤t≤20 To find- The number of barrels Qt and the number of barrels in first 9...

Q: Find f such that f'(x) = x - 5 and f(0) = 3. f(x) = %3D

A: Given: f'x=x2-5 f0=3   Integrate the function with respect to x. ∫f'x=∫x2-5dxfx=∫x2dx-5∫1dx=x33-5x+C

Q: g(b) f(g(x)) •gʻ(x) dx = f(u) du where g(x) = u, to evaluate the following integral. a g(a) 3 tan x ...

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Q: 1 is equal to cOs x - The value of the limit lim x2

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Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)/1+ cos ...

A: Given: The shaded region given by the curve y=2sinx1+cosx is To determine: The area of the shaded r...

Q: I need help to understand the substitution rule for fundamental of calculus.

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Q: Use the given conditions to write an equation for the line in point-slope form and in slope-intercep...

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Q: If the graph of y=​f(x) is increasing on ​(4​,7​), then where is the graph of y=​f(x+3​)−4 ​increasi...

A: the graph of y=​f(x) is increasing on ​(4​,7​) The graph of f(x) is increasing from x=4  to 7 The gr...

Q: Suppose we know that function f(x) is even, that is, we know f(x) = f(-x) for every x, compute | (2)...

A: Given : fx = f-x for every x. ∫-ππfxsinxdx

Q: Evaluate. Check by differentiating. Jx³ Inx dx

A: Given : ∫x3lnxdx

Q: If F(t) d [F(t*)] is equal to is an antiderivative of f(t), then dt

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Q: Evaluate the piecewise function at the given values of the independent variable. 2x + 3 if x<0 f(x) ...

A: Given : fx = 2x+3   if x&lt;02x+7  if x≥0

Q: Find an equation of variation in which y varies jointly as x and z and inversely as the product of w...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x...

A: Given that: The equation of the function is f(x) = 14-x  , c = 5.  

Q: 10 y 8 16 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 I 2 3 4 56 7 8 9 I0 -2 Write the standard equation for the h...

A: We draw a rectangle using the asymptotes as diagonals.  The width of the rectangle =2a= the distance...

Q: Find dy/dx and d2y/dx2, and find the slope and concavity (if possible) at the given value Parametric...

A: We are solving the first three subparts and for the next subpart post the question again and also me...

Q: Evaluate Integral. integral 0 to 2 (4/5t^3-3/4t^2+2/5t)dt

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Q: For the graph of the function f(x) = x³ + 3x² + 9x + 2, find %3D any inflection points, if it exist....

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Q: Use a finite sum to estimate the average value of F on the given interval... (please check image)

A: To find:  The estimate the average value of the function. Given information: The function is f(x)=x3...

Q: A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute. (a) Find the...

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Q: is the line (4,1,-1) and (2,5,3) perpendicular to the line through (-3,2,0) and (5,1,4)? Give reason...

A: Two lines passes through points x1,y1,z1, x2,y2,z2 and a1,b1,c1, a2,b2,c2 are perpendicular if there...

Q: If / (x³ + k) dx = 96, then k = -3

A: Given : ∫-33x3 + kdx = 96

Q: find the area of the region (draw graph) bounded by the graphs of y=5x/x^2+3 , x=1, x=5, y=0

A: We first sketch the region using a graphing calculator.    

Q: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these equatio...

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Q: The rate of change of the radius of a sphere is constant. The rate of change of the volume is ? A. I...

A: Rate of change of radius of a sphere is constant.

Q: For the given​ functions, find (f ◦​ g)(x) and (g ◦ ​f)(x) and the domain of each.f(x)=6x+5, g(x) =\...

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Q: A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to o...

A: Consider the given information. Let's the dimension of the  fence is x and y. And, the total fencing...