O Find all values of t such dhat dhe dangent line a CI()=

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: A________ is the set of points P in the plane such that the ratio of the distance from a fixed point…

A: The conic section is known as the set of points, in which the curve of any of the conic, that are,…

Q: Find a parameterization for the line segment joining points (0,3) and (12,0) using the angle 0 in…

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Q: The normal line at point P(0,a,-a) of the surface given by the equation F(x,y,z) = 3xyz – z' – a' =…

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Q: 2. Prove that the following curves are intersecting with a right angle: 5y-2x+ y –x*y =0 2y+5x+x*…

A: Given curves are  5y-2x+y2-x2y=0and2y+5x+x4-x3y2=0

Q: Now compute [(x − 3y² + 2) ds where C' is the union of the curves C1 and C2. C1 is the line segment…

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Q: 3. In Etercises, verify that the given point is on the curve and find the lines that are latangent…

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

Q: Find the slope and concavity of the curve at the given points. r = 1/u, u = -pi, 1

A: Solution:Given    r=1u, u=-π,1To find the slope and concavity of the curve.Formula:Slope of the…

Q: .2 y = z, -2 < z < 2 %3D (x - 2)² + 4y2 = 4

A: (b)  The given equation is y=z2, -2≤z≤2. Observe that y-coordinate will always be positive and…

Q: Find the value of c such that the line y = (1/6)x + (3/2) is tangent to the curve y = c(sqrt(x)).

A: Solution: Y1=16x+32Y2=cx

Q: the KX3 Determine the intersection of and plane tangem line to Cuove at t=5 . %3D

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Q: The value of le ydx + zdy + xdz where C is the curve x = y = z = 2t2 from t = 0 to t = 1 is A В 15 C…

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Q: 2) Consider the oriented curve C given by C = C1uC2, where C2 is obtained by intersecting the…

A: We will first parametrize the curves C1 &amp; C2 then substitute the x,y,z values into the line…

Q: 34. Find the points where the line y = 2x intersect a circle of radius 6 centered at the origin.…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: compute the length of the curve over the given interval.  r(t) = (2t2 + 1, 2t2 − 1, t3), 0 ≤ t ≤ 2

A: Length of a curve is also like computing distance between two points but with the restriction that…

Q: By using Green's theorem evaluate (4.ry – y') dr + (x + 3ry) dy where C is a closed curve starting…

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Q: 15. When a line L is tangent to the circle 2 + v = 100 at the point (a, 6), find the equation of…

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Q: Find equations of the following. y = x2 − z2,    (6, 11, 5) find the tangent plane and normal line.

A: According to the given information: Consider the given equation at the given point:

Q: ind the equation for (a) the tangent plane and (b) the normal line at the point Po(8,0,8) on the…

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Q: ) Find the gavea d the rgion enclased by the line x-In3 and the curves y= ex and y=ex

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Q: 5. Are there any points on the graph of x2 - y? – 22 = 1 where the tangent plane is parallel to the…

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Q: c) By using Green's theorem evaluate UTM £ (kry – y") dz + (z² +3ry) dy where C is a closed curve…

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Q: find the value of c that the line y=3/2x+6 is tangent to y=c(sqr-root x)  c=

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Q: Ex: Find egns of the line thru the pt ( -!,), perpendicular bo the line 3x= 2y == and paralled to…

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Q: c) By using Green's theorem evaluate OUIM GUTM U where C is a closed curve starting from the origin…

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Q: C is the part of the circle of radius 3 in the first quadrant from (3,0) to (0,3) and F = (1, -y),…

A: Given, C is part of circle of radius 3 in the first quadrant from (3,0) to (0,3) and F=[1,-y] The…

Q: Let C be the line segment connecting 0 to ni. Then f. 1-e22 dz = a. 0 b. -0.5 + ni C. πί d. None of…

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Q: Find the number  a such that the line x = a  bisects thearea under the curve  y = 1 / x 2  , 1&lt;…

A: Our Aim is to find a number such that line x=a bisects the area under the curve y=1x2, 1≤x≤4.

Q: consider a curve r(t) = 2t³ i+ 2t j+v6t² k calculate the length of the curve in the interval 0 st 3

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Q: 2. A CIRCLE IS TANGENT TO THE CINCLES x7 y? = 4 x*+ y? = 12Y+ 64 2 F IND THE LOcuS OF IT3 CENTEN AND…

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Q: Given 급 (1+ 블" -를 -용), dy * = k). What is the value of k such that y is perpendicular to the curve…

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Q: If L is the tangent line to the curve 7 (t)= (2t-1, t, t-2) at (3, 4, 2) and the point where L…

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Q: 99. Determine the concavity of the curve x= 2t + In t, y = 21 – In t. %3D

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Q: Evaluate (x+y)ds where C is the straight-line segment x =t, y= (2- t), z =0 from (0,2,0) to (2,0,0).…

A: We need to evaluate ∫C(x+y) ds. We are given that C is the straight line segment x=t, y=2-t, z=0…

Q: Let 7 (t) = (3t2 – 1,t? – 2t3, Find the line (L) tangent to r(t) at the point (11, – 12, – 64) –…

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Q: 12. Let fc A. Find the linear a pproximer X= 7, In uther word's, find the tu, to the curve y= Fcx)…

A: Introduction: A tangent line is a line that simplest touches a curve at one factor and does now no…

Q: Let the line y = mx + 2 be a tangent to the curve y = In-, at the point P. i) Find the coordinates…

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Q: nclosed between the curves y= r'and x= y? 18 16 14 12 12 14 16 18 -1 -1 O 02 04 0.8 0.6 0.4 0.2 0.6…

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Q: 11. Find the distance between the point (1,0,-1) and the line x = 5 – t, y = 3 t, z = 1 + 2 t.

A: 11) The direction ratio of the lines  = -1,3,2 The direction ration of the point (1,0,-1) and the…

Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line z + y = -1lat the point…

A: Given: y=lnx2-1 and x+y=-1 Concept Used: Slope of perpendicular lines are negative reciprocal to…

Q: The distance between the two lines x = 1 + t,y = -2 + 3t, z = 4 – tand x = 2s, y = s, z = s is а)…

A: Consider the provided information, x=1+t, y=-2+3t and z=4-t And, x=2s, y=s and z=s Find the distance…

Q: Let C be the curve connecting (0,0) to (9,3) to (-3,3) to (0,0) using straight lines. Evaluate (sec…

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Q: The tangent line to the graph of y = nz is perpendicular to the line z = 7 at the point where Select…

A: Line x = 7 is perpendicular to x axis. A line perpendicular to this will be parallel to x axis.…

Q: Let W = Span{u} where u -2. Let y = find the distance from y to W 13.

A: In this question, we need to find the distance from the vector y  to the subspace w spanned by u.

Q: Find the normal straight line of the curve r(t) at the indicated point. r(t) = (acos(t), bsen(t),…

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Q: Q: Show that the following pairs of straight lines have the same set of angular bisectors (that is…

A: The solution of the question is attached below in step 2

Q: 3. In Eercises, verify that the given point is on the curve and find the lines that are Haltangent…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.