If the tangent plane to the surface z = +y is parallel to the plane r+ 2y-z 0 at the point (1, a, b). Then a = O a. 1 O b. -1 Oc. 3 O d. -3 O e. -2 O f. 2

Q: Find an equation for the plane tangent to the given surface at the specified point. z = v², y = u? +…

A: Given that

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Q: Consider the surface S: √x + √y + √z = a with a> 0. If P (x0, y0, z0) is a point on the surface that…

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Q: Let a , b and c be the last three digits of your student ID and let d=max(a,b,c). How many points…

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A: Calculate point of intersection and differentiate it to get the answer

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Q: Find an equation for the tangent plane to the surface z = 6x3y2 + 3y at the point P(1, -3). Hint:…

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Q: Find the equation of the tangent plane to the surface z = at the point (2,-3, 10) O r- 6y – z = 10…

A: We have to find the equation of tangent plane.

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A:

Q: Find the equation of the tangent plane to *+ y? at the point (2, –3, 10) the surface z = 4 O x + 4y…

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Q: Find an equation for the plane tangent to the surface e z = x cos(xz) – y at the point (2, 1,0).

A:

Q: The slope of the tangent line to the curve of intersection of the plane r = zo and the surface z=…

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Q: Let f(x, y) = x² – y?. Find (b) The tangent plane to the surface given by f at the point (0, – 1).

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Q: Consider x = h(y, z) as a parametrized surface in the natural way. Write the equation of the tangent…

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Q: Find the equation of the tangent plane to the surface z = + y? x2 4 at the point (2, -2, 5) x- 4y -…

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Q: Find the plane tangent to the given surfaces at the specific point f(x, y) = x2 ln(2x+y) in (-1, 3)

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Q: The equation of the tangent plane to the surface yey +z =0 at the point (0,-1,1) is az+by+cz = 1.…

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Q: Find all points on the surface at which the tangent plane is horizontal. (a) z = x³y² (b) z = x² −xy…

A: (a). Given the surface z=x3y2,the tangent lane at a given point is given by :…

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Q: Find the tangent plane to the surface z = 9 – x* – y? at the point (1, -3, –1).

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Q: Find the tangent plane to the following surfaces at the point (1, 2, 3): a.) z = x + y     b.) z + 2…

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Q: Let (S) be the surface given by the following equation. x²+y? = 1+ z?. An equation of the tangent…

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Q: . Show that the tangent plane to the surface 2yyo cz at the point P(xo,Y0, zo) is given by the 2rro…

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A: Proceed as shown below

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Q: Find the equation of the plane tangent Z= x2+ Y2 at point P (1,2,5) to the surface

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Q: Find an equation for the plane that is tangent to the surface z = vy-x at the point (1, 2, 1).…

A: To find an equation for the plane that is tangent to the surface at the given point (1,2 1).

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Q: (b) Find the point that makes the tangent plane to the surface z = x- xy +y-2x + 4y horizontal.

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Q: Let P be the tangent plane to the surface z=x2+2y2 at the point Q-(1,1,3). Which of the following…

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Q: The tangent plane to the graph of the surface z=In(x2+y?) at the point (1,0,0) contains point…

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Q: Determine the equation of the tangent plane to the surface z=x - 3xy + y at the point P (2, 1, 3).…

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Q: The tangent plane to the graph of the surface z-In(x<+y) at the point (1,0,0) contains point (3,3,t)…

A:

Q: The tangent plane to the graph of the surface z=In(x<+y<) at the point (1,0,0) contains point…

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Q: Which of the following is the equation of the tangent plane to the surface z=x2 - x+3y² +y at the…

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Q: Consider the curve C which is the intersection of the surfaces shown in the attached figure. If C:…

A: From the option one is function of t, infact it is clear from the parametric as a function of t

Q: Find the equation of the tangent plane to the given surface at the specified point. z+7=xecosz,…

A: Given: z+7=xeycosz,  (7,0,0)

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.