Y =x 3 and y =x3 –3x23x–1 and hence verify the result in the sketch on the previous page;Find the open intervals on which the graph is concave upward and those on which it is concave downward y = x^3 1x^2 9 View Answer Find the points of inflection of the graphAn online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation A useful mathematical differentiation calculator to
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Y=x^3+2x^2-1 graph-You can clickanddrag to move the graph around If you just clickandrelease (without moving), then the spot you clicked on will be the new center To reset the zoom to the original click on the Reset button Using "a" Values There is a slider with "a =" on it You can use "a" in your formula and then use the slider to change the value of "aX = 0 View Answer Consider
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Compared to the graph of \(y = x^2\text{,}\) the graph of \(f (x) = 2x^2\) is expanded, or stretched, vertically by a factor of \(2\text{}\) The \(y\)coordinate of each point on the graph has been doubled, as you can see in the table of values, so each point on the graph of \(f\) is twice as far from the \(x\)axis as its counterpart on the basic graph \(y = x^2\text{}\)Graph of y = 2x 1 If you knew at the beginning, from the "form" of the equation that the graph was a straight line then you could have plotted the graph more quickly In this case you only need to calculate and plot two points and the line joining these two points is the graphGraph f(x) = −2x 2 3x – 3 a = −2, so the graph will open down and be thinner than f(x) = x 2 c = −3, so it will move to intercept the yaxis at (0, −3) Before making a table of values, look at the values of a and c to get a general idea of what the graph should look like
You can expect to find horizontal asymptotes when you are plotting a rational function, such as \(y=\frac{x^32x^29}{2x^38x3}\) They occur when the graph of the function grows closer and closer to a particular value without ever actually reaching that value as x gets very positive or very negative To Find Horizontal AsymptotesY=3x1 Polynomials Algebra Calculator can simplify polynomials, but it only supportsThus, the line y=1 is a horizontal asymptote for the graph of f Now check for vertical asymptotes by computing onesided limits at the zeroes of the denominator, ie, at x=2 and at x=2 Thus, (The numerator approaches 4 and the denominator is a positive number approaching 0 ) ,
Feb 21, 11 · we're told to find the x and yintercepts for the graph of this equation 2y plus 1/3 X is equal to 12 and just as a bit of a refresher the xintercept the xintercept is the point on the graph that intersects the x axis so we're not above or below the x axis so our Y value must be equal to 0 and by the exact same argument the y intercept the y intercept occurs when we're not to theCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyE2x 2 e 2x 2 = 1 Note that sinh is an odd function since sinh( x) = sinhx and cosh is an even function since cosh( x) = coshx The graphs of four of these functions are shown in Figure 3 on page 375 of the book (also sketched on the board in class) Example Verify that tanh(x y) = tanhx tanhy 1 tanhxtanhy (#10) Note that tanhx ytanhy 1
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This is where tangent lines to the graph are horizontal, ie, where the first derivative y'=0 The largest and smallest values of x will occur at the rightmost and leftmost points of the ellipse This is where tangent lines to the graph are vertical, ie, where the first derivative y' does not existY=x^21 (Graph Example), 4x2=2(x6) (Solve Example) Algebra Calculator is a calculator that gives stepbystep help on algebra problems See More Examples » x3=5 1/3 1/4 y=x^21 Disclaimer This calculator is not perfect Please use at your own risk, and please alert us if something isn't workingYou can put this solution on YOUR website!
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Graph x/2 3Graph halfx 3If the ordered pair (5/2, y) lies on the graph of y = 7 2x, find the value of y 12 Choose the pair of numbers that is not a solution to the given equation y = 5 2x (0, 3) Choose the pair of numbers that is not a solution to the given equation y = 2x1/3 (4, 3)Practice Match equations to coordinates on a graph This is the currently selected item Dependent & independent variables equation Practice Relationships between quantities in equations and graphs Dependent and independent variables review Tables from equations with 2 variables
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9Calculate the surface area of the surface obtained by revolving the curve y= x3 3 around the xaxis for 1 x 2 I plan to use the fact that the surface area of a surface given by revolving the graph of y= f(x) around the xaxis from x= ato x= bis given by Z b a 2ˇf(x) q 1 (f0(x))2 dx 7All values that satisfy y < x 3 are solutions Which system of linear inequalities is represented by the graph?Dec 11, 17 · The yintercept is where the line crosses the yaxis So which ever graph has 2 as the yintercept in correctIts more complex when the graphs have the same intercept but in this case this should be easy to find So looking at the graphs you can see that the 3rd graph is the correct answer I hope this helps love!
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Graph y=x^22x3 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for Tap for more steps Use the form , to find the values of , , and Consider the vertex form of a parabolaGraph y = 2x 1Graphing a line requires two points of the line which can be obtained by finding the yintercept and slopeFind the slope of the tangent line to the curve y = x^3 2x^2 1 at the point 1, 0 Find the equation of that tangent line On your calculator, graph both the curve and the tangent line on the same set of axes with viewing window x 23, y 22
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyHere are some examples y=2x^21, y=3x1, x=5, x=y^2 To graph a point, enter an ordered pair with the xcoordinate and ycoordinate separated by a comma, eg, To graph two objects, simply place a semicolon between the two commands, eg, y=2x^21;Graph y=x^33x^22x Find the point at Tap for more steps Replace the variable with in the expression Simplify the result Tap for more steps Simplify each term Tap for more steps Raise to the power of Raise to the power of Multiply by Multiply by Simplify by subtracting numbers
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GRAPH THE EQUATION y = 1/2x 3/2 2) y = x 2 x 2y = 16 x= _____ y=_____ 3) 2x = 5y 3 6x 15y = 3 4) 5X 2Y = 36 3X 4Y = 6 Since I didn't understand what you wrote, I answered some of the problems as best as I can in what you meant Step 1 Just a quick note When you have an equation just plot two points x=0 and find y using theGraph of the function y = 4 x is shown in Figure 3 x y xy = 4 2 2 normal tangent Figure 3 A graph of the curve xy = 4 showing the tangent and normal at x = 2 From the graph we can see that the normal to the curve when x = 2 does indeed meet the curve again (in the third quadrant) We shall determine the point of intersection Note that whenMA 351 Fall 07 Exam #3 Review Solutions 1 1 Find the maximum of f(x;y) = xyrestricted to the curve (x1)2 y2 = 1 Give both the coordinates of the point and the value of f
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(2/3,041) Inflection points occur when the second derivative is equal to 0 dy/dx=3x^24x (d^2y)/(dx^2)=6x4 Let (d^2y)/(dx^2)=0 0=6x4 6x=4 x=4/6=2/3 Solve for ycordinate, y=(2/3)^32(2/3)^21 y=8/272(4/9)1 y=8/278/91 y=11/27 or 041 Therefore the point of inflection for the function y=x^32x^21 is (2/3,041)Find the area of the region bounded by the graphs of the given equations y=2x3,y=x^2 The area is (Type an integer or a simplified fraction) Get more help from Chegg Solve it with our precalculus problem solver and calculatorJan 25, 17 · How do you sketch the graph #y=x^32x^2x# using the first and second derivatives?
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Y=x3x212x No solutions found Rearrange Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation y(x^3x^212*x)=0 How do you graph the function, label the vertex, axis of symmetry, and xinterceptsQuadratic Graphs Complete the table of values for y = x2 2x On the grid, draw the graph of y = x2 2x for values of x from 2 to 4 2 2 Solve x2 2x 2 = 1 (6) Sorted it Complete the table of values (a) for y = x2 1 (b) for y = 2x2 2 NAILED IT Draw the graphsWrite an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value f(x) = ( 3 x^ 2 3 x 4 ) ( 2 x 3 );
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Graphs of y= x3 and y= x5 then the end behavior is% mimicking the action of the graph far away from the yaxis 67 For a general polynomial, the leading term, the part of highest degree, will begin to dominate the graph as xgrows in absolute value So, ultimately, the graphAug 06, 19 · The graph of \(y = 2x5\) consists of all ordered pairs that are solutions of the equation \(y = 2x 5\) So, our first task is to find ordered pairs that are solutions of \(y = 2x 5\) This is easily accomplished by selecting an arbitrary number of values, substituting them for x in the equation \(y = 2x 5\), then calculating the resultingCalculus Graphing with the Second Derivative Examples of Curve Sketching 1 Answer Nallasivam V Jan 26, 17 Refer Explanation section Explanation Given #y=x^32x^2x# #dy/dx=3x^24x1#
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Y=2x3 (red line) y=2x1 (green line) (graph 300x0 pixels, x from 6 to 5, y from 10 to 10, of TWO functions y = 2x 3 and y = 2x 1)The graph of f (x) = (x − 1)3 3isobtained from the graph ofy = x3 byatranslation of 1 unit in the positive direction of the xaxis and 3 units in the positive direction of the yaxis As with other graphs it has been seen that changing a simply narrows or broadens the graph without changing its fundamental shapeHas a line by 2 and 3 B y > 2/3x 3 and y < 1/3x 2
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