3.3.23. Write down the equation of the normal of the ellipsoid at (2,1, –1/2).

Q: Find the equation of the normal at (1,2) for the function 2x - 3xy+ y +x+2y+12%3D0.

A: Equation of normal for a  curve at a point (a,b) is given by, y-b = m(x-a) Where m is the slope of…

Q: 1 2 #5) A) Find the length of a curve y Inx for 3 < x < 7. 4

A: L= integration of sqrt of 1+ (dy/dx)2 dx from a to b

Q: d) 1. Find an equation of the tangent plane to the surface at the given point and 2. Find a set of…

A:

Q: (b) Find the equation of the normal to the curve 4x +2y 10xy at the point (1.2). %3D

A:

Q: ive the Normal Equations to fit the parabola y = a + bx + cx².

A:

Q: 04) Find the equation of the normal to the curve ly'+ x(1+y)-4] at point (2,1).

A: We need to find the equation of normal to the given curve at the point (2,1).

Q: chapter 3.6 (book question #35) find an equation of the normal (perpendicular) line to the curve x2…

A: Use differentiation to determine the normal to the curve at the given point

Q: consider the curve y=x^2-4x+2 show that the normal to the curve at the point x=1 is 2y-x+3=0

A: TO SHOW THE EQUATION OF NORMAL AT x=1 IS  '2y-x+3 =0' GIVEN y = x2-4x+2 EQUATION OF NORMAL AT x=1 is…

Q: Find an equation of the normal line to the parabola  y = x2 − 4x + 1  that is parallel to the line…

A:

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: Given   Area of surface area revolved about x axis formula is

Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x = /9- y, -…

A:

Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

A:

Q: Consider an q-curve with parameters 3 and 14. a. Determine q0.05. b. Find the q-value with area 0.01…

A: The provided information are: Number of parameters (k) = 3 Degree of freedom (df) = 14

Q: Sketch the two curves 7(t) = tî + t²j; t e [1, 5] and B(T) = e"î + e²r3; T E [0, In 5]. How are they…

A:

Q: Find the equation of the sphere if one of its diameters has endpoints (3, -4, 5) and (5, 0, 11)…

A:

Q: Зу — 4у 3D —х — 2 The curve above can be parameterized as which of the following pairs of equations?

A:

Q: Find the equation of the normal to the curve y = x?e4* at the point x

A: We have to find Normal to the given curve.

Q: a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5     6…

A: For the given data, We have to fit second degree polynomial From equation of second degree…

Q: Find an equation of the normal line to the parabola y = x2 – 8x + 4 that is parallel to the line x –…

A: Let the equation of the normal line in the slope-intercept form is, y=mx+c where m is the slower and…

Q: Q3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…

A:

Q: Find the tangent lines as directed. To the ellipse x²+4y²=8 parallel to the line x+2y=6.

A: Given query is to find the equation of the tangent.

Q: What is the equation of the normal to the curve x+y = 25 at (4,3)? Select the correct response:…

A:

Q: b) Find equations for the tangent plane and normal line at the point P-(2, –3,18) on the surface…

A: x2+y-2xy-x+3y-z=-7   Let fx,y,z=x2+y-2xy-x+3y-z+7 and the point is 2,-3,18 Now,…

Q: What is the equation of the normal line to the curve y = cos æ at the point (6,0) ... A y = -x +; 2…

A: Given:- y = cos(x)  To find:- Equation of normal line on given curve at point (π/2 , 0)

Q: 22. What is the equation of the normal to the curve y = 3x² – 2x + 7 at the point (1, 8)? А. х + 4y…

A: Solutions of both question are given below . May these help you.

Q: Find the normal of slope 2 to the ellipse x2+2y2=3.

A: Given query is to find the equation of the normal with the slope 2.

Q: 13. Find an equation for the tangent plane and the normal line to the surface x? + 2y? - 3z? = 3, at…

A:

Q: The curve y : in (3x - K) crosses the at and the equalion of the at this point Find the value of K…

A:

Q: What is the slope of the normal ine to the curve y=In(xª+1) at x=1, -2 -1/2 1/2 D) 2

A: Product of slope of the tangent and normal line is -1.

Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)?

A: the equation of the normal line to the ellipse can be found by differentiating the given equation…

Q: 2. Determine the normal line to the ellipse 100x² + 4y? = 100 through the point where y = ".

A: Solution: Consider the given equation of the ellipse is  100x2 + 4y2 = 100  ....(1) Put the given…

Q: 1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

A:

Q: Find the equation of the normal line at the point (-2,1 – 3) to the ellipsoid + y2+ 름= 3.

A: To determine the equation of the normal line.

Q: Find the equation of the sphere if one of its diameters has endpoints (3, 1, -5) and (5, 5, 1) which…

A:

Q: Find the equations of the tangent and normal to the parabola y² - 2x - 4y -1 = 0 at the point (-2,1)

A:

Q: The equation for the line of best fit for some data comparing the height of a candle (H) with time…

A: Let the independent variable denoted as time (T) Let the dependent variable denoted as height of the…

Q: For the curves a2 = 1 and y2 = 4x 63 If the two curves have only two distinct common normal then the…

A: The given curves are: x2a2+y263=1           and           y2=4x

Q: Q7// Find tangent and normal equations of the curve x³ + y3 – 9xy = 0 at points (4,2) and (2,4).

A: The slope of a curve at the point (x1, y1 ) is given by;…

Q: Find an equation of the normal line to the parabola y = x2 - 8x + 9 that is parallel to the line x -…

A:

Q: Question 16 What is the normal line to the curve 9x+4y=36 at (0,3)7 А) х-аxis B y-2=0 C) x+13D0 D У…

A: We have to find As the ist question answer is wrong So I have to do 2nd question

Q: Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 35…

A: As per guideline we have to solve one question

Q: If we have (x'+y' –9xy = 0 ), The normal to the curve a (2,4) is 4 12 a - y=-x+- 5* 5 4 13 ア=ーズー 5…

A: Proceed as shown below...

Q: 3. Find the length of the curve given by : = (y/4)² – 2 ln(y/4) for 4 > y 2 12.

A:

Q: For the curve x - 2t and y = t-1, what is the equation of the normal line when t=2

A: Given,x=2t.................(1)andy=t-1..................(2)Now,Differentiating both the equations…

Q: What is the equation of the normal line to the ellipse 8x^2 + 32y^2 = 256 at the point (4,2)? O y =…

A:

Q: Find the normal form of the line 3x + 4y – 10 = 0 and its where distance from the origin.

A:

Q: Find the equation of the line through the origin auel normal to the line x=y-S,2:2y-3?

A: Let ,     L1 : x-01=y-51    L2 : y-321=z-02L be the required line which passes through 0,0,0 &amp;…

Q: Find the equation of the sphere if one of its diameters has endpoints (8, -2, 8) and (11, 4, 17)…

A: