(1) What is the relationship between lines 11 and 12? where L:x = 2, y = 1+2t, z = 1+t L2:x = 4 -t, y = 1+t, z = 2+t
Q: 4. Find the equation for the line tangent to a. y=x²- 3 x + 5 at the point (2, 3)
A: We will find tangent equation.
Q: Find the equation of the line tangent to Y 3x2 + x + 1 at x = -3. у 3 —17г — 26 O y = 6x – 3 O y =…
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Q: Find the image of the line x = 1 under (a) flz) = z²
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Q: The equation of the tangent line to the curke x? + y = 36, at (6,-16) is %3D y = (x+6) + 16 16 16 16…
A: we have to find the equation of the tangent line to the given curve at (6, -16)
Q: 3) Determine the point of intersection between Line L: ( (x+1)/6)= ( (3-y)/-1)= ((z-4)/-2) and i…
A: Given, Equation of line is x+16=3-y-1=z-4-2.Equation of plane is x+2y-z+29=0. The intersection point…
Q: The direction field of the DE y' + ye³x+7 = −2y² will have a line segment with positive slope at the…
A: Given y'+ye^(3x+7)=-2y² We know that the dy/dx gives the direction field. Hence the given DE can be…
Q: Perpendicular to y + x = 0; (2, 0) on line
A: To find equation of a line ,which is perpendicular to line y+x=0,and point (2,0) lies on line.…
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A: If the variables in the study are measured on ordinal scale, then researchers employ Spearman's rho…
Q: Evaluate [(-x+y + 2)dx + (x+y-2)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to…
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Q: Find the equations for all the lines tangent to x + y° – y= 1 at x = 1. r+ y³ – y = 1 2
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Q: Parallel to x + 2y = 0; (1, 2) on line
A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.
Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D
A: Two lines are given as : y = 4x - 3 and y = x - 5
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: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…
A: Given that the curve passes through a point.
Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is
A: 2x + √(x+y) = y So, √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy So, y(1+4x) - y² =…
Q: 4. Determine the intersection of lines:L = aund LzX= とz 11 >\J
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Q: Verify that (4,1) on the curve x + /xy = 6 and find the lines that are tangent and normal to the…
A: Given that, the curve is x+xy=6. Differentiate the curve x+xy=6 with respect to x as follows,…
Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…
A: Given curve y=x3-2 ; (2,6)
Q: ) Find the equation of the line normal to the curve x'y+ y'x = 10 at point (1,2).
A: Slope of a normal to the function y=f(x) at point m,n is given by the value of -dxdy at m,n Equation…
Q: 22. The line 3. is parallel to the line 2. x+3 A. 3 y+1 z-1 %3D 3 B. f = î - i+ 5k + t(3î + 3j + 2k)…
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: fc x sin y ds c is the line segment from (0,3) to (4,6)
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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: If line r has the equation y = - 2 what is the equation of line r given that line rwas dilated by a…
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Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…
A: To find the points at which tangent line is horizontal , y' =0.
Q: 4. Find the equation for the line tangent to a. y= x²- 3 x + 5 at the point (2, 3)
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Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)? a. x + 3 =…
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Q: The distance between the two lines x = 1+ t,y = -2+ 3t, z = 4 – tand x = 2s, y = s, z = s is
A: Please see the explanation below
Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5
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Q: Find the equation of the tangent and normal line using the stipulated conditions 1.) y = x2 - 5x…
A: Given the equation is y = x2 - 5x The point of intersection line y=6 The equation of the tangent is…
Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.
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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: 2 Show that the line y = x +3x+m for all values of m. y= mx+4 will touch or intersect the curve
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Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…
A: The objective of the question is determine the equation of the tangent line.
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: 7. Find the angle of intersection between the curves y = x + x-8 and y = x
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Q: Rule: (x, y) → ( Reflection: Across Line y = x
A: Actually the rule of reflection along y=x is simply writing the points (x,y) as (y,x). See for the…
Q: What is the image of the horizontal line through the point in under e ?
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Q: 2. Find for x? +x+ y? +2 3xy the lines that are tangent and normal to the curve at point (3,2).
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Q: 3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх —…
A: Given a point(1,-1). We need to find the equation of a line passing through the given point.
Q: 13. Evaluate (2x + y + 3z) ds, where C is the straight line from (0, 1, 1) to (1,0, 1).
A: we have to evaluate
Q: Suppose the curve y =x4 +ax3+ bx2+ cx +d has atangent line when x=0 with equation y= 2x +1 and…
A: Given the curve is y =x4 +ax3+ bx2+ cx +d Differentiating with respect to "x" y' = 4x3 + 3ax2 +…
Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-
A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of…
Q: Find the equations of the tangent and normal lines x^2 + 2y^2 = 9 TL I to the line x + 3y = 7
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Q: Find the distance between the parallel lines.
A: Here x1 = 1; x2 = 0; y1 = 0; y2 = 1; z1 = -1; z2 = 1
Q: What is equation of the line normal to graph of y = x^3 + 3x^2 + 7x - 1 at the point where x = -1? O…
A: Solving the problem by finding the normal of the given equation.
Q: X. xy ds where C is the straight line from (2,3) to (4,0).
A: Given: The curve C is the straight line from 2,3 to 4,0, To find: The value of ∫Cxy2ds.
Q: For what values of aa and bb is the line −4x+y=b-4x+y=b tangent to the curve y=ax2y=ax2 when…
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Q: Which of the following straight lines are tangent to the curve y = x³ + 4x2 + 7x and passes through…
A: Topic = Geometry y=7x ia the tangent to the curve.
Q: 17. The tangent of the acute angle between the lines y = 4x – 3 and y = x – 2,is D
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Q: 23/ Find the angle between two curves: 3 y = 2 - x² , y = x²
A: The angle between two curves is given by the formula tan θ=f2'x0-f1'x01+f1'x0f2'x0 Given,…
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- Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would happen if youtried to show two "lines" drawn through two points.Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are parrallel.Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are perpindicular.
- Suppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (7,6) , (-9,-2), and (-9,8), respectively. The epicenter of an earthquake is determined to be 5 units from X, 13 units from Y, and 13 units from Z. Where on the coordinate plane is the epicenter located ?This table gives a few (x,y) pairs of a line in the coordinate plane.1. Write the line parallel to y = -2x + 5 that passes through the point (1,1). a. y = -2x + 1 b. y = -2x + 3 c. y = x + 5 d. y = x + 3 2. Write the line parallel to y = 6x - 1 that passes through the point (-2,1). a. y = 6x - 2 b. y = -2x + 1 c. y = 6x + 13 d. y = x + 13 3. Find the pair of parallel lines. i. 12y + 6x = 2 ii. 6x –12y = 2 iii. –4y = –2x + 2 a. i. and ii. b. i. and iii. c. ii. and iii. d. There is no pair of parallel lines listed above. 4. Which of the following lines is NOT parallel to y = –4x + 3? a. –4y – x = –2 b. –4x – y = –2 c. –8x – 2y = –2 d. y + 4x = –4 5. Write the line parallel to y = x that passes through the point (3,4). a. y = x b. y = x + 3 c. y = x + 4 d. y = x + 1
- Find the intersection of the lines, L1: (x,y,z)= (1,3,1) + t(3,1,2) and L2: (x,y,z)=(2,0,1)+(1,2,1).Find an equation of the line L that passes through the point (−2, 6) and satisfies the given condition. (Let x be the independent variable and y be the dependent variable.) L is perpendicular to the line 4x + 5y = 10Find the relationship between x and y such that the point (x,y) is equidistance from the points (7,1) and (3,5)
- What are the coordinates of the vertices of △A′B′C′ after a reflection across a line through point P with a y-intercept at y=−2 followed by translation T3,3?What are the coordinates of the vertices of△A′B′C′after a reflection across a line through point P with a y-intercept at y=−2 followed by translation T3,3?(a) The curve with equation 2 y3 +y2 -y5 =x4 -2x3 + x2 has been likened to a bouncing wagon. Use a computeralgebra system to graph this curve and discover why.(b) At how many points does this curve have horizontaltangent lines? Find the x -coordinates of these points.