Let g be a vertical stretch by a factor of 5, followed by a translation 4 units up of the graph of Az) = Va - 1.

Q: Use the error bound for the trapezoidal rule to find the smallest N such that the error in…

A:

Q: Define the moment-ratios ß1 and B2.

A: To define the moment-ratios.

Q: Let C be the arc of the circle [2] = R from z = R to z = -R Where R is a positive integer greater…

A: Given C be the arc of the circle z=R from z=R to z=-R, where R is a positive integers greater than…

Q: let γ be the line segment joining 0 to 1+i. then the value of ∫γzdz is

A:

Q: Find the limit point of the open interval (a, b) in IR, where a

A: We have to find the limit point of the open interval a, b in ℝ  where a<b. Limit point: Let S be…

Q: In circle P with mZNPQ = 90, find the mZN RQ. R

A: Given:   In the figure,∠NPQ=90∘

Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: Prove that the are length af Curve y = leg secx from N =0 to 3 is leg ta+ 45) .

A: The formula of arc length is given below:

Q: distance from vertex A to the centroid?

A: Answer: Given, ADis a median.andBC=1Q units15In A ADB,AB²= AD²+DB²GuseDB:BCDB2 २DB 102 2CADIS(…

Q: .

A:

Q: Determine the dilation scale factor that would partition the directed line segment AB into the given…

A: Scale factor will be equal to .

Q: (a) Find the length of the projection of w onto v given that w = (4,7) and v = (1,1).

A: Given: w=4i+7j, v=i+j we know that projectionp→ of w onto v is given by p→=w.→v→v→2v→

Q: The gruph o i shown here Ideatify the graph of the inerve finction - (B,

A: The inverse of a one-to-one function f(x) is another function that reverse the function f(x). That…

Q: Determine the dilation scale factor that would partition the directed line segment AB into the given…

A:

Q: b) Calculate again an approximate value of the length L of the curve arc from the previous…

A: The distance (d) between two points (x1,y1) and (x2,y2) is given by the equation;…

Q: 11. 12

A: 11. The figure of the circle is given by To evaluate : The value of x

Q: If (x, y) is any point on the unit circle, and t is the distance from (1, 0) to (x, y) along the…

A: x, y is any point on the unit circle and t is the distance from 1, 0 to x, y along the circumference…

Q: 3) Consider the line L in R? spanned byp = (6). Let PL(u) be the orthogonal %3D projection of the u…

A: b = 4

Q: What is the image of the circle of radius 1, centered at 3, under the mapping f(z) = 2/z ? A circle…

A: First option is correct.

Q: Prove:- The defect of a triangle in (RG) is an area function.

A: In Euclidean Geometry, the area of a triangle is calculated by multiplying the length of any side…

Q: Use the distance formula to show that T (x,y) = (-y,x) is an isometry.

A: We have to prove that T(x, y) = (-y, x) is an isometric.

Q: Define new metric which is different from giving in above questions on X in question 01.

A: With the help of questions 01 we define a new metric on X

Q: If L is a line through 0 and if f is the orthogonal projection of y onto L, then || F|| gives the…

A: Option B is correct.

Q: AB is the midsegment of A XYZ and PQ is the midsegment of AXAB. What is the relationship in length…

A:

Q: . Let X be a nonempty set with metric d. Show that the function e defined by e(x, y) = min[1, d(x,…

A: We know that d(x,y) is a metric on X. Hence d satisfies all the properties of a metric.  Now e(x,y)…

Q: In a pole zero plot, there are only two poles in the origin. Hence the Type & Order number is O a. 0…

A:

Q: Draw the curve and find the length in range [0,27]: r(t) = acosti + asentj + btk

A: Given: rt=acosti+asintj+bt

Q: From the vertex (0, c) of the catenary y = c cosh(x/c) a line L is drawn perpendicular to the…

A:

Q: The ________ ________ is derived from the Pythagorean Theorem.

A: We know that, The distance formula is derived from the Pythagorean theorem.

Q: This diagram shows a tangent TA with chord AB parallel to chord PQ.«

A: (a) To prove : ∆PAT is similar to ∆BAQWe can see that ABQP is a cyclic…

Q: Point K is on line segment JL. Given JL + 10, KL 4r, and JK 2z, determine the numerical length of…

A: Given:Point K is on the line segment JL.JL=x+10 unit, KL=4x  and JK=2xTo find:The numerical length…

Q: 2.) Example: Prove the Symmetric Property for the line segments. Given: PQ XY Prove: XY PQ P. Y Q

A: For the given line segments PQ≅XY

Q: Prove that of all triangles having two given sides of lengths a and b, the one whose sides form a…

A: It is given that the length of two sides of a triangle is a and b, respectively. It is known that…

Q: The notation y = arccos x means that y is the _________ between ____ and ____,inclusive, whose…

A: The notation which is given here :                                                 y=arccos(x)…

Q: 9 on X= IR, k>o. Define metrics ond q P is not in the form kq for

A:

Q: Sketch the following sets of points in the x-y plane. {(x, x^2): x is in R}

A:

Q: . Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

A:

Q: Use the trapezoidal rule with n = 2 to estimate - dz. Hint 1 Set Ar = -. The endpoints of the…

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2 f(x0) +2 fx1 + 2fx2+...+2fxn-1+fxn ; where ∆x = b-an.

Q: Determine whether each of the following statements is true or false, and explain why Simpson’s rule…

A: Given statement is  Simpson’s rule usually gives a better approximation than the trapezoidal rule.

Q: Prove that the lengths of the two tangent segments to a circle from a point outside are equal. Use…

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

Q: find the volune of the selid generated by revolving regron bounded by the graphts of dhe ģiven…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: So F. dr - 0 for every closed curve Cin R, an open connected region. True False

A:

Q: Let (X,d)be full m.J,P, defined as D:Xx X R,plxy=min{1, d , is the full metric on X, show.…

A: Metric Space: Let X be a set. If a function d :X×X→ℝ satisfies the following properties (1) dx, y≥0…

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: In the given figure, AD is a median, and the length of BC is 18 units. What is the distance from…

A: Consider the given triangle ∆ABC with AB=15, BC=18 and AD is the median from the vertex A to the…

Q: Given: APQR has a right 2Q. M is the midpoint of PR. Prove: MP = MQ = MR

A:

Q: 2. Consider the following diagram. U Part A: Prove that a LOU~A OZU- A LZo. Part B: Prove that the…

A:

Q: A circle, with area A = Tr2, is expanding with time. dr If = 6 cm 2/s, what is dt dA when r= 2? dt…

A:

Q: Prove that segment WN is a dilation of segment ZX by a scale factor of , using the distance formula.…

A:

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.