8. Suppose the earth is a sphere with equation r + y?+ 22 1. On this earth, Edmonton has coordinates (sin(7/6) cos(0), sin(7/6) sin(0), cos(7/6)) and Hamburg has coordinates (sin(7/6) cos(7/3), sin(7/6) sin(7/3), cos(7/6)). Is it possible to see Edmonton and Hamburg at the same time? How far off the earth must you be?

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: Find the following (hint: The FTC and Green's Theorem might be helpful on this problem) (a) If f(x,…

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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: sketch the given surface. x 2+ 9y 2 + 4z 2 = 36

A: To sketch the given graph

Q: 1.3 Show that the following equation represents a sphere, and find its center and radius. x? +y? +…

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Q: Which of the following is the equation of a sphere with radius r = (-1,0,-2)? Select one: O None of…

A: This question is related to equation of sphere, we will solve it using given information.

Q: 2 2 15. Eind. the Poiats.an.the.. surface.Xy 2=1 that.are closest.bothaorrqin.

A: Lagrange method is another optimisation method. When a non-linear function needs to be optimised, we…

Q: To find the points on the cone z2 = x2 + y² that are closest to the point (5,2,0) , we need to solve…

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Q: A surface in R³ is defined by the equation 4z = x² + 4y“.

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Q: z dz 2z ² +(1+i )z -i C is the circle |=|=2

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Q: 32. (sin y, x) • dr, where C is the boundary of the triangle with vertices (0, 0), 0 ), and 2' 2

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Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

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Q: Given the expression x⁴-3x+7=y³ on the interval [3,5], determine the surface of revolution if it is…

A: Given that, the expression is x4-3x+7=y3.

Q: By about how much will ƒ(x, y, z) = ln(sqrt(x2 + y2 + z2) ) change if the point P(x, y, z) moves…

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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: If a bug walks on the sphere x^2 + y^2 + z^2 − 4x + 4y + 4z + 3 = 0 how close and how far can it get…

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Q: 8. Calculate fo F • dr, where F(x, y) = y² i + (6x + 6y)j, and C is the portion of the parabola 2y²…

A: Given curve is 2y2-x=1 and points are (1,-1) to (7,2)

Q: 3. Consider the equation for a sphere Si given by 2x2 + 16x + 2y? – 18y + 22 = 20z – 22 (a) Find the…

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Q: (2) Find the Ualue of the constant m while the Curl of Foaoy,z) = (mxy- 2) Ĉ +cm-2)x)+(1-m)x2° Â is…

A: Please see the answer in step 2

Q: Sketch the following surfaces. (a) −9z2 −5y2 −x+4 = 0 (b) 4y2 + 9z2 − x2 = 0 (c) 1−3z2 −y2 −4x2 = 0

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

Q: Sketch the solid described by the given inequalities. 3sps 4, os ps a/3, 0S0SR 1.5 21.0 0.5 00…

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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: 4. Evaluate / (z – 2) dz where C is the lower half of the circle |2 – 2| = 4.

A: Note: According to bartleby guidelines we have to answer only first question please upload the…

Q: to the surface x 2 ^ 2A k. = i+

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Q: drawn from the point A(2,10) on the parabola y = x^2 + bx + c Since the tangent is parallel to y =…

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Q: 3. Use the Secant method on the circle function (x + 1)²+(y – 2)²= 16 to %3D find the intersection…

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Q: 6.2 Finl the Voune of the Selid enclosed by the curves y=eX, y=0 x=0,'= "about the x-axs.

A: Given: y=ex, y=0, x=0, x=1 From the given curves the bounded region is as shown below; Apply the…

Q: 9- Suppose T degrees is the temperature at any point on the sphere x² + y² + z² = 4 and T = 50x²yz.…

A: The temperature is

Q: What is the sum of the abscissas of the points where the tangents of the y=(1/3) x^3-(3/2) x^2 – 2x…

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Q: 1 + 12 8x*' - Find the length of the curve y= 1<x<2. 4

A: y=x612+18x4 Differentiate the  above equation dydx=ddxx612+18x4dydx=x52-121x5

Q: Find the length of one branch of the curve 9y^2=4(1+x^2)^3 from x=0 to x=2

A: Given curve is 9y2=4(1+x2)3

Q: Suppose z = f(, y) = (x² + 4) sin(y) + xy². By setting one variable equal to a constant (either x =…

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Q: 16.9. Let y denote the boundary of the domain between the circle Iz| = 4 and the square whose sides…

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Q: What is the value of c such that the line y=2x+4 is tangent to the parabola y=cx^2.

A: Given that the line y=2x+4 is tangent to the parabola y=cx2. The derivative of y=cx2 is dydx=2cx.…

Q: Any help will be useful.

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Q: Suppose surface #1 is defined by =45°,0<p< 5, 0 <z< 8 and surface #2 is defined by 0=32° The length…

A: The diagram for the surface 1 is, The diagram formed is rectangle.

Q: Evaluate (x - iy) dz along (a) the parabola y = 2r? from (1, 2) to (2, 8),

A: In the given problem we have to evaluate  ∫C(x2-iy2)dz  along the parabola  y=2x2 from (1,2) to (2,…

Q: What is the equation of the circle concentric with circle(x-2)2 + (y+1)2 = 5 that is tangent to the…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 3. Find the shortest distance from the origin to the plane x – 2y – 2z = 3. |-

A: Here I am attaching image so that you understand each and every step.

Q: 8. Suppose the earth is a sphere with equation r2 + y? + 22 1. On this earth, Edmonton has…

A: Draw the diagram of the condition given. Now the point from which both the stations are visible is…

Q: 3. Find an equation of the circle with center at (5, –6) that is tangent to the y – axis in the form…

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Q: The indicial equation of (r – 1)?y" + (x³ – 1)y' + 2y = 0 at = 1 is :

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

A: Given,  (a) Equation of the circle   x2+y2+4x-2y-24 = 0  We have to find the equations of tangents…

Q: Which of the following conditions will make the (yーk)? (xーh)? equation a2 (z-1)? = 1 an equation of…

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Q: 10. Given the expression x* – 3x + 7 = y* on the interval [3,5], determine the surface of revolution…

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Q: Suppose Vf(x, y) = 3y sin(xy)i + 3x sin(ry)j, F = Vf(x,y), and C is the segment of the parabola y =…

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Q: If the two spheres (x-4)^2+(y-1)^2+z^2=27 and (x-13)^2+(y-10)^2+(z+9)^2=a are externally tangent to…

A: Consider the given two spheres x-42+y-12+z2=27 and x-132+y-102+z+92=a are externally tangent to each…

Q: Suppose z = f(x, y) = (x² + 4) sin(y) + xy². By setting one variable equal to a constant x = c, y =…

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Q: 8. centered at Which of the following equations represents the circle with radius F 16x2 + 16y2- 16x…

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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.