Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 3 P(-2, 1) 16 25x? – 9y? + 100x - 54y+ 10 0

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A: as per company guidelines we can solve only first question when multiple question being posted

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

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Q: The graph shows the normal lines from the point (2, 0) to the graph of the parabola x = y2 . How…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: Sz(t) = - 2t2 ly(t)…

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Q: Masses of 3 kg, 1 kg and 5 kg are located at points with co-ordinates (1,2). respectively.

A: Please refer to the image below

Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x -…

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Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b)…

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Q: Find parametric equations for the line that passes through the points P and Q. P(1, –2, 3), Q(5, 1,…

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Q: 32. The centre of symmetry of the curve y = * + 2 is at the point A. (0,0) В. (-2,0) с. (2,0) D.…

A: As per the answering guidelines we need to answer only first question so please repost the other…

Q: The curve y et and the lines y = 0, x = 0, and x = In 2 %3D

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Q: 4. Let P(x1, y1) be a point (not the vertex) on the parabola y² = 2px. Find the equation of the line…

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Q: Find the exact length of the curve y2 = 16(x + 1)3,   0 ≤ x ≤ 3,  y > 0

A: See the attachment

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

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Q: Find the equations of the tangent line in the given plane. Tangent to the parabola z =x^2 +3y^2,…

A: z=x2+3y2 , x=1 at the point (1,2,13)

Q: The graph of the curve described by the paramnetric equations x = 3t – 4, y = 6t + 2 is a straight…

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

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Q: et 2e-2x - 3e2x V3 Arcsin 6. A +C V3e2x + C V2 B Arcsin 1 3e2K+- +/3e4x 2+C 1+c - 23

A: Given integral is ∫ex2e-2x - 3e2xdx

Q: (a) Find an equation of the tangent plane to the surface at the given point. X +y +z = 11, (2, 5, 4)…

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Q: Find the point on the curve g(I) z +5 that is closest to the point (-57, 5).

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Q: 3. Determine the orthogonal trajectory of the family of parabolas x² – y + 32x = ketch some of the…

A: The given parabola is x2-y+32x=0 ........................ (1)  Differentiate with respect to x,

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Q: 19-34 sketch the curve. 21. y = 3x* - 4x + 2

A: hello i am here to help you

Q: 32. The centre of symmetry of the curve y = * + 2 is at the point A. (0,0) В. (-2,0) С. (2,0) D.…

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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…

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Q: The plane x = 1 intersects the paraboloid z = x2 + y2 in a parabola. Find the slope of the tangent…

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Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: a) Determine the point at which the slope of the tangent to each parabola is zero. i) y= 6x2-3x + 4…

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Q: 3. Given the "Devil's" curve y-4y2 = x-9x2, find the equations of the tangent and normal lines at…

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Q: s) Find an equation of the tangent plane to the surface z = 2+2x² +5 at the point P(-,1,3). our…

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Q: Find the tangent plane to the equation z = - 3x² + 2y² + 4y at the point (4, 1, - 42). 2 = Check…

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

Q: Find constants a and b so that the minimum for the parabola f(x) = x + ax + boccurs at the point…

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

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Q: 22=xy represents the origin. ) Prove that the equation with vertex at

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Q: 6) Find parametric equations for the line through P(0, -2,-2) and Q(1,1,0).

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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

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Q: Discuss the properties of the curve (w/ solution) and sketch fully: y = x?e-*

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

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Q: 1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line…

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Q: A curve on the ry-plane passes through the point (0, a) for some number a, and has the property that…

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Q: 3. Find the equation of the plane tangent to the graph of f (x, y) = 3x + 4y – xy at the point (1,…

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Q: Ex3 Find Equation of plane pass through point (3,-1 2) and the vectos A=itj+k', B= zí

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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Q: Find an equation of the normal line to the parabola y = x² – 7x + 1 that is parallel to the line x –…

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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.