On the set of axes below, draw the graph of y = 2" over the interval -3 < x< 3. Will this graph ever intersect the x-axis? Justify your answer.

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

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Q: What is the missing value of x for the following trapezoid?

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Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

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Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.x2 − y = 0

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Q: Find the distance between the points of intersection of the graphs y = x+2 and y = 4 - x.

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Q: Find the closure of a straight line in R x R_.

A: Given: Straight line in ℝ×ℝ. To find: Closure of straight line in ℝ×ℝ.

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Find the value of x,if the distance between the points (x,1) and (3,2) is 5

A: Use the distance formula and solve for unknown.

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: By experimentation, determine the approximate value of a (where 3 < a < 4) at which the graph…

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Q: Consider y = xe^x on the interval [-5, 0]

A: In order to find global minima of the function, check the values of the function at end points and…

Q: Find all points having a y-coordinate of - 3 whose distance from the point   (1, 2) is 13.

A: Consider the points are A = (x,-3) and B=(1,2) The distance between A and B is 13 units.   If the…

Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?

A: Let's find.

Q: State the intervals where the graph of y = sec(r),-2n <I< 27, is decreasing.

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Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: If a line intersects the x-axis at 'r' and the y-axis at '1/r', at what point (x,y) does it…

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Q: To make a determination of when the velocity of the hiker was positive, negative or zero, I used the…

A: To determine whether the velocity was positive , negative or 0, we can check the values in the…

Q: The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2)…

A: Explanation of the answer is as follows

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: use the concepts of translation and/or reflection to describe how the second curve can be obtained…

A: To explain: How the second curve fx=-x+8 is obtained form the first curve fx=x by using the concept…

Q: The line y 을 16 has x-intercept 3. -8)-and is perpendieular to Ahe line Passes through (4,pand…

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Q: find the coordinate of point x such that the ratio of fx to xd is 5:3

A: find the coordinate of point x such that the ratio of fx to xd is 5:3

Q: at what point do the line intersect on the unit circle

A: The given line is,

Q: The point that is symmetric with respect to the x-axis to the point (2,-5) is _____.

A: The point that is symmetric with respect to the x axis to the point (2,-5) is be found with the help…

Q: Find x so that the distance between (-2, 3) and (x, 1) is Ï29.

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Q: Please

A: For concave downward, f''(x) &lt; 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: Find the point on the x-axis that is equidistant from the points (0,−1) and (5,−3)

A: To find the coordinates of the point satisfying the given conditions

Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

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Q: find the slope of the curve at the point indicated.

A: We have to find out the slope of the curve at the given point. y=1x-1 , x=3 for the slope we have to…

Q: What is the difference between the graphs of G(x, y) = x i + yj and F(x, y) = −x i + −yj?

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Q: For what value of x will the curve y = x3 - 3x2 + 4 be concave upward?

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Q: A liner fuction is givin by the equation y=4× Using the points x and x+1, shows that the y- value…

A: An equation of the form ax + by = c is called a linear equation. Here, x and y are variables, and a,…

Q: Approximate the point of intersectión of the graphs of r and g. (x, y) = (

A: Given,

Q: Which of the following expressions should be used to find the length of the curve 2/3 y = x from x =…

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Q: The line tangent to y = ƒ1x2 at x = 3 is y = 4x - 10 and the line tangent to y = g1x2 at x = 5 is y…

A: The line tangent to y=fx at x=3 is y=4x-10 &amp; the line tangent to y=gx at x=5 is y=6x-27. Put x=3…

Q: Find the interval where the graph of y = x3 + 2x2 − 4 is decreasing and concave up.

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Q: Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two…

A: If the distance from (x,y) to the points (3,2) &amp; (5,-1) are equal, then the squared distance is…

Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: Find the points on the line 2x+y=5that is the closest to the origin.

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Q: Determine the length of the curve x = (y-1), where 4 <y <9.

A: Now differentiating given curve with respect to y, we get

Q: For what values of c is there a straight line that intersects the curve y = x' + cx' + 12x² – 5x + 2…

A: Given the equation of a curve , y=x4+cx3+12x2-5x+2. To find the value of c such that there is a…

Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: Find two numbers y such that the distance from 1 - 3, 22 to15, y2 is 10.

A: The distance from -3, 2 to 5, y is 10.

Q: 1 + y =

A: To solve the following problem, we use the concept of seperation of variable, then integrate both…

Q: Find the interval on which f(x) =x°e is concave upward.

A: The answer to the following question is option (e) i.e (0,1)

Q: distance

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.