B. Determine the isogonal trajectories of the circles x? + y? = c if the angles of intersection are to be 45°.

Q: Find the shortest distance, d, from the point (11, 0, –6) to the plane x + y + z = 6. = p

A:

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

A:

Q: 6) Solve by hand. Given the following Labeled data set: 15T, input autput medel has betta X ES 10…

A: The data set is given as: X=5,10,15T and Y=3,6,7T. We have been given two models and we have to…

Q: Find the max. and min. values of (x, y) = x² – xy + y on the quarter circle x² +y =1 where x.y20.

A: I use langrange multiplier method

Q: Find the point (a, b) on the graph of y = ex where the value ab is theleast.

A:

Q: find the coordinate of point x such that the ratio of MX to XJ is 2:3

A: Let Position vector of point M and J be m→ and j→, respectively. Point X divides segment MJ into the…

Q: Suppose (p o) is the point on the graph of V closest to (1, 0) - What is the value of p+O? y=Vx 3…

A: Basic derivative problem

Q: If the length of the curve y = 3 x7 from the point (0, 0) to the point (xo, f(xo)) is L = 8 , then…

A: Length of curve

Q: Calculate the length of the path over the given interval. c(t) = (9t + 1,9 – 9t), 0 <t < 2

A:

Q: Find the midpoint of CD. M = (, X1+X2 _Yi+Y2 2 %3D C= (10,-1) and D = (-6,3) ([ ? ],[ ])

A: We can find the mid point of CD as below

Q: Find the length of the curve y? = r between the points (0, 0) and (4, 8)

A:

Q: If the distance from P(1, 0) to the point T(1 ) is x, determine the coordinates P(1,0) of the point…

A:

Q: For what minimum integer value of a, will the line ax+(a+1) y =18 www (a> 0) have two intersection…

A: If the line cuts the circle at two points then given line is secant line of the circle .The…

Q: Find an equation of the form y = ab" + csin(r that fits the data below x 0 1 2 14 36 106 y 4 To fit…

A: We have to form an equation of the form y=abx+csinπ2x. Given data is: x 0 1 2 3 y 4 14 36 106…

Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: For what values of a  and b  is the line 2x  + y = b tangent to the parabola y = ax 2   when x = 2

A: Given line is 2x+y=b Given line can be written as y=-2x+b On comparing with equation of line y=mx+c,…

Q: Where should the point P be chosen on the line segment AB so as to maximize the angle θ?

A:

Q: Let P, Q, and R be the points at 1 on the x-axis, 2 on the y-axis, and 3 on the z-axis,…

A:

Q: Which of the following is symmetrical with respect to the x-axis? Chapter Re

A: here option D is true because

Q: The​ equation, with a restriction on​ x, is the terminal side of an angle θ in standard position.…

A:

Q: If the distance from P(1, 0) to the point T(12) is x, determine the coordinates P(1,0) of the point…

A: Find coordinates

Q: x = t³, y = t²,0 <t < v3

A:

Q: A man in a rowboat at P in Fig. 14-3, 5 mi from the nearest point A on a straight shore, wishes to…

A: Assume x be the distance between the shore and the point at which the man lands. So, to reach point…

Q: B 12 15 2x + 1.5 For what value of x will segment DE be parallel to segment BC?

A: Given, ∆ABC  AD = 6 ;  DB = 12  AE = 2x +1.5  ;  CE = 15   We have to find the value of x ; such…

Q: Consider two paths, Y1 (t) = t(1+i) –-1 and 2(t) = 2+ i(2+t). %3D Do the two path intersect? If they…

A: Point of intersection means the point at which two curves intersect

Q: Find the length of the line given by r(t) = ⟨t, 2t⟩, for a ≤ t ≤ b.

A: To determine: The length of the line given by rt=&lt;t,2t&gt; for a≤t≤b

Q: Find the length of one branch of the curve ay? = x3 from x = 0 and x = 5a. 4.

A:

Q: Find the length of the curve r= e2θ, 0≤θ≤2

A:

Q: ABCD is a parallelogram, if AO = x+4. BO = 2y-6. CO 3x-4, an DO = y+2, solve for x and y . 2y-6 3x-4…

A: Diagonal of Parralelogram bisect each other with equal length.

Q: There are three collinear points A, M and E. M is in between A and E. Segment AM equals 3x+1.…

A:

Q: 2. Find x, y, and z. 10 5. 3. To estimate the height of a radio to until his line of sight to the…

A:

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Which of the following lines is affected by x +y 4equation circle? %3D O z = V2 Oz + y= 2/2 Or + 2…

A: Given: The equation of circle x2+y2=4, To determine: Which of the following lines is affected by the…

Q: If EFGH is an isosceles trapezoid, EH = 4x - 27, FG = r+9, EG = 3y + 19, and FH = 11y-21, solve for…

A:

Q: If the depth is given by the equation z = 3x2y + xy , the equation of the cutoff curve when x=1 is?…

A: If the depth is given by the equation z = 3x2y + xy , the equation of the cutoff curve when x=1 is?…

Q: Answer the following questions as indicated. 1. If the coordinate of point X is -2, and the…

A: X coordinate is -2 i.e ( -2,0)  And Y- coordinate is 3 i.e. ( 3,0)

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 .

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: Find the point on the line y = x closest to the circle of radius 1 and center (5, 2) using Lagrange…

A: First I have find the function f(x,y) and then decide the constraint.Then using Lagrange multipliers…

Q: In a plane, l lm and t 1 m. l and t related? By appearance, how are

A: We know that in a plane if l⊥m and t⊥m then l will be parallel to t So, l and t are related as l∥t

Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: NOTE: According to the guidelines only one question will be answered please upload other one…

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

A:

Q: If x represents the average rate of a plane in still air and y represents the average rate of the…

A: To determine Plane's rate with the wind  and Plane 's rate agaunst the wind

Q: If C1 is the segment connecting (x1, Y1) to (x2, Y2), find | x dy – y dx in terms of the four…

A:

Q: Consider the following diagram, a=1, b=9, c=15. Where should the point P be chosen on the line…

A: The diagram is shown below. Consider the triangle BPE, tan α=axtan α=1xα=tan-11x Consider the…

Q: If B is the midpoint of AC, with point A at (5, 2) and point C at (9, 0), what is the equation of…

A:

Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.