Sketch the grapm of the pare cone (6) and Sketeh TE) and valve of f. quaph N't) at the %3D

Q: Find the area of the surface generated by revolving the curve = V¤ + 3, 4 < y <7

A:

Q: Find Equatien of the tavgnt lin tu th cuve at tk giver pointe y= sec X ,

A:

Q: A stream line is a line that is everywhere tangent to the velocity filed ylgn O ihi 0

A: A stream line is a line that is everywhere tangent to the velocity filed

Q: Find the total arc length of the cardioid r=1+cos6O

A:

Q: Show that the volume of solid formed by revolving one loop of the curve r2 = a? cos20 about the line…

A:

Q: Find the aren of the region in the tirst quadrant baunded by the line y=27, e the line X-4, the…

A: We first sketch the region using a graphing calculator.

Q: Find the length of the curve Arc length = UT → y² = 4x, 0≤ y ≤ 2.

A:

Q: The folium of Descartes is defined impliciHy as given nee here a) determine dy dx

A:

Q: what is the avorago valus OF a Funckon F on an Posterval [a,b]? 13 the given by vallis of Fa)-tan X,…

A:

Q: Determine the arc oF the Cur Vて length 9x² = 4(y-1)' por 1s yš2: %3D

A:

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: If the curve y = f(x) , a≤x≤b is rotated about x-axis, then the lateral surface area is given by…

Q: What's the probability that the point (that is chosen at random from the unit cube) lies below the…

A: The figure is as shown below:

Q: find the Volumae of soliel generated by revolving the region in the first quadsant bonended by y=X…

A: The volume of revolution generated by full revolution of the area A between the curves y1=f1(x) and…

Q: he segment AB by a scale factor of using point C as a center of dilation. Cons figure on the…

A: Please refer to the image below

Q: Find all finchons Man sanisty he Mowing inihal problim dy %3D dy dx =4 ex ーメ how mam solwhin does t…

A: Given,           dydx=y2e-x    and y(0) = 12

Q: Find the anea of the vegion in quadrant Ps bou nodod ist 4 the conie the by the right by the line…

A: Given curves, y=ex+12,y=e-x+12,x=2 ln2 To find the area of region bounded by these curves.

Q: Find the arclength of r(t)= on the interval from t equals zero tot equals 2 times pi.

A: Given:  r(t)=&lt;5cot(t), 3 sin(t), 4 sin(t)&gt;To find:  Arc length form t=0 to t=2π

Q: Find the arc length of f (x) = In|sec x| over [a/6, x/3]. Round your answer to two decimal places.

A:

Q: A-Estimate J, 2e-3* dx using trapezoidal rule with four subinterval round your answer to one decimal…

A: Given is the integral  ∫-11 2e-3xdx The aim is evaluate the integral using trapezoidal rule.

Q: Use the Trapezium Rule with four strips to estimate the value of: dz. (In z)² Give your answer…

A: Use the formula of the Trapezium Rule to solve the integral. This rule is used to solve the integral…

Q: A DVD has a diameter of 4.75 in. and rotates at 360.r/min. What is the linear velocity of a point on…

A:

Q: Find the moment of inertia, with respect to the line x=1, of the area enclosed by the loop of the…

A:

Q: Approximate using the Trapezoidal rule with n = 4 subinte Round to 4 decimal places. sin r dr

A: See the details solution in below

Q: Find an arc length parametrization of the line y = 8x. r:(s) = %3D

A:

Q: Find the arc length of the cardioid r = 2 – 2sin©.

A: Given that: r=2-2sinθ Differentiating with respect to theta,…

Q: Find the arc length of the curve 2sin²(4) from 0 = 0 to r = A = T. Select one: O 4 O 5 O 6 O 7 O 8

A:

Q: Use Simpson’s Rule with n = 10 to approximate the length of arc of r(t) = t i + t2j + t3k from the…

A: Given,

Q: Find the Sufface arca 0f the soid of revolution Obtained bu rotatig y=+2x With TtxE2 around メーaxis、…

A:

Q: s being pumped into a spherical ballo nge of the radius when the radius reac

A:

Q: y = x, y = vx; about x = 3

A:

Q: What are the coordinates of D' and C' after DC undergoes a dilation centered at point E with a scale…

A: It is given that, scale factor is, k=3. Dilation center is at 6 vertical units above the origin and…

Q: A yo-yo which is 3 inches in diameter spins at a rate of 5000 revolutions per minute. How fast is…

A: Rounds per minute = 5000 To Find:    Speed of the edge of yo-yo spinning in miles per hour…

Q: Explain how to find the arc length of a function that is a smooth curve on the interval [a, b].

A: Let f(x) be a smooth curve on the interval [a, b]  Smooth curve has continuous derivative. As [a, b]…

Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

A:

Q: Find the mibimal distance between the foint Cl,4) to the linz Yeメtl. dっしくーメュ+(-

A:

Q: Find the average z-coordinate of points in a hemisphere of radius 8 centered at the origin with its…

A: We have to find the average z coordinate of the hemisphere of radius 8 centered at origin with base…

Q: )2. Find the paramehic from the cune check whether the cure is a repulor cuwe. AGo reparametije the…

A: Note: According to our guideline we will answer the first question as the exact one is not…

Q: Find the length of the catenary y = a cosh from x = 0 and x = a X1.

A:

Q: Find the arc length of the curve S Vsect – 1 dt - sys x%3D 4

A: The given function of curve is x=∫0ysec4t-1dt To find the arc length of the curve

Q: Water is pumped into a sphere at a constant rate as seen on the figure.

A:

Q: SHOwh above with the center of dilation at point A?

A:

Q: Find the arc length of the portion of the curve y = 9x with 0 Sr<1. %3D Round your answer to four…

A: Given: y=9x20≤x≤1

Q: A figure on d coordinate plane is dilated using the rule (x, y).

A:

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: b) Sketch the graph and find the points on the cardioid r=a(1+cos) at which tangent lines are…

A: Consider the equation of the cardioid, r=a1+cosθ The graph will be,

Q: y = x, 0 < x <7

A: The given line  y = (7/5)x This is revolved about x axis  0≤x≤7

Q: \ Compute dx using the (a) Trapezoidal rule

A: 6.(a)  Given function is ∫-11e-x2dx Trapezoidal rule ∫abfxdx≈∆x2fx0+2fx1+2fx2+2fx3+........+fxn…

Q: The 35-kg boy is sliding down the smooth spiral slide such that his z coordinate decreases 2 m per…

A: Solution is in step 2

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3

Q: Find the average distance from a point P(x, v) in the first two quadrants of the disk x2 + v s25 to…

A: We have a given point P(x, y) and a disc   x2+y2≤25 We need to calculate the average distance from…