6. Determine the surface area of the object obtained by rotating x= 3+2£ y = 9-3t 1st<4 about the y-axis. 7. Determine the surface area of the object obtained by rotating r= cos? 8,-SES% about the y-axis.

Q: If y=sin?t+ tant, x=- In(-cost) - e int, find the value of y' when t=-. 4. %3D 6/2 2-Vze 2 3/2 B 6.…

A: We have to find

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A:

Q: 3. The inductance L (in microhenrys) of a straight nonmagnetic wire in free space is 2h L= 0.00021|…

A:

Q: Eliminate the paranoter t from the follewing S r(1) = 4+ sin t lu(t) 3- cost

A:

Q: Find the area in the first quadrant inside the curve r = 4 + cos 2θ but outside the curve r = 3 cos…

A: Given  The outside the curve r = 4 + cos 2θ but inside the curve r = 3 cos 2θ . Formula for area…

Q: d. Use your answers for parts a and b to estimate 1 -dx using the trapezoid rule with n=4

A: Approximate by trapezoid rule

Q: Find the length of the curve over the given interval. r = 8(1 + cos θ), [0, π/ 3]

A: Given: To find:  The length of the curve over the given interval.

Q: 1. Find the total length of the curve r = 4(1 - sin 0) from 0 = 90° to 8 = 270° and also the total…

A: The given problem is to find the total length and the perimeter of the given curve. Given curve…

Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Find the circumference of the curves x=e^-2θ (sinθ+cosθ), y=e^-2θ (sinθ-cosθ) over the interval 0 ≤…

A: To find: The circumference of the given curves. Given information: Concept used: If a functions are…

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A:

Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

A:

Q: Done Find the area between a large loop and the enclosed small loop of the curve r = 4 + 8 cos(30).…

A:

Q: x² : 4ay from x 0 to x = 2a

A: We have to compute the surface area of revolution of the curve x2=4ay about the y-axis between the…

Q: Find the area of the region bounced below by the x-axid and above by the curve  x= 5sin^2(theta), y=…

A:

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: I Eliminate the ar bi fary constant )- y= Ax+ B sec x 2 2 %3D I. Find the difFCrntial equation +that…

A:

Q: Find the surface area of the figure generated by revolving x = 6 cos(t), y = 6 sin(t) where 0 <ts…

A:

Q: TE 4 To approximate cos(x) dx would Simpson's Rule, Midpoint Rule, or Trapezoidal Rule give a better…

A: We know ∫0π2cos(x)dx = 1

Q: Suppose that the temperature at a point (x, y) on a metal plate is T(x, y) = 4x² – 4xy+ y². An ant,…

A: Given the temperature is, Tx,y=4x2-4xy+y2. Since, the path of ant is  gx,y=x2+y2-16. By the method…

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),…

A: We have to find dsdtt0=π4

Q: Q3) find the soluation of differention equation 1) 2y' = y cot(x)

A: To find the solution of the differential equation 2y'=y cot(x) Formulae used : ∫dxx=ln |x|∫cot(x)=ln…

Q: 5) Determine the area of the surface obtained by rotating the arc y = Vx –1 around the x- axis from…

A:

Q: Eva luat at the given Value of t; 上 W= X+y x =cost tsits y ecst-Sint

A: Solution: The objective is to find the derivative of the given function

Q: The ceiling of a building has a height above the floor given by z = 30 + x, and one of the walls…

A: The surface area can be given by SA=∫abf(x)ds =∫040(30+14x)ds Path is given by…

Q: The area between the two curves in * the figure below is y = cos x y = sin 2x T/6 T/2

A:

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A:

Q: 1 dx using the trapezoid rule with n=4 1+x d. Use your answers for parts a and b to estimate

A: Given the integration ∫0211+x3dx

Q: 11. A manufacturer of corrugated metal roofing wants to produce panels that are 28 in. wide and 2…

A: shape profile is given Y = sin(πx/7) curve varies from x = 0 to x = 28 arc length formula is W = 1 +…

Q: The area between the two curves in the figure below is y = cos x y = sin 2x T/6 T/2

A:

Q: 9. Find the area of the surface generated when the given arc is revolved about the x-axis: 4x² +…

A:

Q: Find the area of the region inside the circle r= 32 cos 0 and to the right of the vertical line r= 8…

A:

Q: 14. Solve for x. 14. X = x+5 14 21 nh to find the yertices of the image of QRTW for a dilation with…

A: topic - triangles

Q: the wire that lies along the curve Di + (7 sin t)j. 0sts5 Osts1; 8= 5? its

A: We have to find the mass of wire according to the given information

Q: Find the exact area between a large loop and the enclosed small loop of the curve r = 1 + 2 cos(30).…

A: (1).    The given curve is: r=1+2cos3θ

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

Q: y = 2(1+cos( Ɵ)) Find the area of the surface of revolution formed by rotating the upper half of…

A:

Q: 10 cos 0 and y = 10 sin³ 0, find the total length of the curve swept out by the point If x = (x, y)…

A: We have to point length of curve swept out by the point:

Q: In the figure to the​ right, the equation of the solid curve is y equals StartFraction secant…

A:

Q: Find dy Sor The Sullowing Suetien? ) y = Cot 2) y = Ln [cosx) %3D

A: Please refer to the image below.

Q: 9.) Find the surface arca of the right cylinder. Round your answer to two decimal places. 16.75 om…

A: As per guideline, we can answer one question at a time. Please repost the other question separately.…

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: The objective of the problem is to find the distance traveled by the particle whose position is…

Q: A rod with density p(x)=4+sin(x) (in grams per cm) lies on the x-axis between x=0 and x=pi/3. Find…

A: Please see the explanation below

Q: AT is tangent to oG. 8 10 Find: AN. AN = %3D units

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Q: Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian…

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Q: Find the length of one arch of the cycloid x= 6(t-sin(t)) y= 6(1-cos(t))

A:

Q: Find the total areas of the shaded regions

A: Consider the given: Find the area:Area=∫aby2−y1 dtArea=∫−π3π312sec2t−−4sin2t…

Q: Find the exact length of the curve. y = In(cos(x)), 0 s xs- TO 6. Need Help? Read It

A: Given problem:- Find the exact length of the curve.   y = In(cos(x)),   [0, π/6]

Q: What is the area within the curve r = cos 5θ?

A: For the solution follow the next step.

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.