At what points will the line y = x intersect the unit circle x2y = 1? (х, у) (smaller x-value) (х, у) %3 (larger x-value)

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: Find equations of both lines through the point (2, –3) that are tangent to the parabola y = x2 + x.…

A: We have to find equations of both lines through the point (2 , -3) that are tangent to the parabola…

Q: Find p, q if f f(x) dx – f f(x) dx = S," f(x) dx. (Give your answers as whole or exact numbers.)

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Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 5  where the tangent line is horizontal. (x,…

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Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

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Q: The radius of a circle is increased from 2.00 to 2.02 m. Express the estimate as a percentage of the…

A: The radius of a circle is increased from 2.00 m to 2.02 m. That is, Now consider the area of the…

Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: Based on the scatterplot predict the value of y when x = 30 %3D

A: The slope of the regression is downward sloping   we can see that As the X increase, the value of Y…

Q: What is the slope of the tangent line to the graph of the solution of y' = 6√y + 7x³ that passes…

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Q: The radius r of a circle is measured with an error of at most 2%.What is the maximum corresponding…

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Q: area given by the following.   A = 1/2xy   If the rate of change of x is 2 units per minute and the…

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Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Solve in variation of parameters y´´ + y =cscx

A: Given differential equation is: Solution of differential equation is sum of complementary function…

Q: If Ex; 20, Ex = 200 and n = 10 for an %3D %3D %3D observed variable x, then what is the coefficient…

A: Given∑xi=20∑xi2=200n=10

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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Q: are discharging toxic lake, and point x miles fro P(x) = 4x2 - 64x + 570 parts per million (for 0sx<…

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Q: Differentiate. y = 4x/(7-cot(x))

A: Recall the following fact.

Q: y =

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Q: Find the point on the line y = x closest to the point (1, 0). Hint: It is equivalent and easier to…

A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: What is the slope of the tangent line to the graph of y=x^4-3x^2+x+2 at x=-1? [a] What is the…

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Q: Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 + x.…

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Q: F(x) = -7+ x2 INTERUAL-ピ-3 -2. AUERAGE RATE of

A: Given query is to find the rate of change for the given interval.

Q: Ir th line x=4+2t, ーも paralled to the plone 3x +ry +2=7-

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Q: If the rate of change in volume of a sphere is equal to its rate of change of its radius. What is…

A: if we let the radius of square = r unit then volume of the square =4/3 πr3 unit3

Q: The vertical distance between the actual value of Y and the estimated value of Y is known as _____.

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Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: What is the value of the slope of the tangent line to the curve *y+y²=5 passing through the point…

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: The length of the secant RT times it’s external segment ST, equals the square of the tangent segment…

A: Solution

Q: What is the value of the slope of the tangent line to the curve y+y S passing through the point with…

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Q: What will be the rate of change of the surface of the sphere when the radius of the sphere is 5.00…

A: Given; Radius= 5cm And time rate of change in Radius is= π/2.

Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: The measurement of a side of a square is found to be 5 centimeters, with a possible error of 0.09…

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Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: What do we say if the truncation error if it is proportional to h?

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Q: The intensity of illumination at any point from a light source is proportional to the square of the…

A: Let k be the coefficient of intensity of weaker light source. The intensity of the stronger light…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

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Q: What is the slope of the line tangent to the curve y = x4 – 8x3 + 22x2 – 24x + 9 at x = 1?

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Q: Write down the slope, of tangents of circle x +y2 =25 parallel to order 3x- 54 +8=0

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Q: What is the equation of the line that crosses the y-axis at 2 and h. a unit rate of ?

A: We have to find the equation of the required line. The required line crosses the y axis at 2, that…

Q: An ice cube melts in the sun, causing it to shrink. Use a linear approximation to estimate the…

A: The length of the side of the ice cube changes from 1 inch to 0.9 inch The decrease in the side of…

Q: How many lines are tangent to both of the circles  x2 + y2 = 4  and  x2 + (y − 3)2 = 1?   At what…

A: Given: The equations of circle are given as, Consider the parametric co-ordinates for the Eq. (A)…

Q: 24. y = e-, y = 0, x = 0, x= 1

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Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

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Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…