In the graph of y between the highest and lowest point. 2cos(x) + 3. Find the equation of the horizontal line A. y = 0 C. y = 2 B. y = 1 D.y = 3

Q: 8. Find the equation of the circle which is tangent to the y- axis, which passes through the point…

A: To find equation of Circle which is tangent to y axis, passes through point (-1,-1) and it's centre…

Q: Determine the slope of the curve x² + y? – 6x – 4y – 21 = 0 at the point (0,7). - а. 3/5 b. -3/5 с.…

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Q: i) Find the cartesian coordinate of the point P(r, 0) = (-3, ). Plot the graph

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Q: Find the curve given by x = vt and y =(? – 4), t 2 0 find the slope and concavity at the point (2,…

A: Here, the parametric curve is given by: x=t, y=14t2-4, t≥0

Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: Write the distance d between the point (3, 1) and the line y = mx + 4 in terms of m. Use a graphing…

A: We have given a point (3,1) and an equation of line y=mx+4.

Q: Locate the points of inflection of the curve y = (x^2)(e^x) * -2± /3

A: Solve the following

Q: given curve about the x-axis. 1. y = 7x, 0 < x <1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The slope of the curve 2r° – y = 7 at the point where y A -4 в -2 с 2 D 4

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Q: 2. Find the slope of parabola y = ²+3 at any point on the curve.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: ] Determine the slope and y-intercept. Then us e slope and y-intercept to graph the equation by hane…

A: We have to find graph

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: c. Find the equation of the line passes through the point (-1,1) and normal to the line that has an…

A: We need to find the equation of the line that passes through (-1,1) and normal to the line y=0.5x-1.

Q: photo attached

A: From the given statement,

Q: Find the point (a, b) on the graph of y = e^x where the value ab is as small as possible.

A: Solution:Given y=exTo find(a,b)  where ab is as small as possible.

Q: 3. Find the values of x of the curve y = 3x where y' = y" 15

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Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

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Q: The line y=x+k is tangent to the graph of y = x²-2. Find the value of k. 17 (C) 16 33 15 (A) 16 31…

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Q: Given the curve y= x^3 - 4x + 1 . At what point on the curve have the smallest slope? * O (0,1) O…

A: The given curve is: y=x3-4x+1

Q: Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a) 3…

A: Given, The curve y =6x  and the point 15, 0  We have to find the shortest distance between the curve…

Q: 1. Sketch the curve x? + x?y? = a?y², a > 0. Enumerate the steps in your solution.

A: As per guideline I can solve only one question at a time. Ask rest of the question next time.…

Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

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Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: sec(2x+π) eq

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Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

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Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: Find the equation of the family of curves for which the slope at any point (x, y) is equal to x/y.…

A: The slope at any point (x,y) is equal to xy.

Q: Jse the guidelines of this section to sketch the curve. y = x2 - 4 y y 5 X 5

A: Given that: y=xx2-4

Q: 4 Find a. the equations of the tangents to the circle x + y? +4x-2y-24 = 0 at the points where the…

A: 4(a). The given equation of circle is: x2+y2+4x-2y-24=0

Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: Which of the following point (æ, y) on the graph of y = /2x is the nearest to the point (4,0) ?…

A: 1. The parametric form of equation Y2= 4aX is X = at2 and Y= 2at. 2. The perpendicular distance from…

Q: Find the equation of a line tangent to the circle x² + y² + 2x – 4y – 31 = 0 at the point (5,2).…

A: Given: The equation of the circle is  x2+y2+2x-4y-31=0   To determine: The equation of a line…

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: Providing a proper explanation, trace the curves: (1) a?a = y°(2a - y), where a > 0,

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Q: Starting with the graph of y = e x  write the equation of thegraph that results from(a) reflecting…

A: The equation given is y = e x. The graph of the equation is,

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 3? a = b…

A: Slope of the tangent is obtained by dy/dx

Q: Solve the problem. Find the length of the curve y = In(csc x), 7/4 T/2 VI E

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Q: Starting with the graph of y = e x  write the equation of thegraph that results from(a) reflecting…

A: (a) Plot the curve y and reflect the graph for y about y = 0 axis.

Q: d?y -=6-9x and which passes through the points (0, -1) and (2, 3). 20. Find the equation of the…

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Q: e: 4. Find the distance from the point (0, 0) to the line with the equation y-7x-8

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Q: The r coordinate of the point of intersection between the two curves y = e2" and y = 1 is a = (Write…

A: Solution let a  value x=xo is intersection point of two function ,say f(x) and g(x) which implies…

Q: Differentiate implicitly to find the slope of the curve at the given point yA + x3 = y? + 12x; (0,…

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Q: a) when does the line x 2t, y = 3 +4t intersect the curve y = x2

A: Given data:     The given first line is: x=2t. The given second line is: y=3+4t. The equation of the…

Q: Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? a) 2 b)…

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Q: 6. Graph the line with the equation y= jx+ 1.

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Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: ere it crosses the y – axis.

A: Given: The curve x=y2-2y . When the curve crosses the y-axis, the x coordinate at the point of…