What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square root of 2 about the y axis? 12.74 11.65 14.98 13.61

Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following p...

A: We have to find the probability [ P(0 <= x < inf) ]

Q: x sec(em) tan(enx) dx= sec x2 tan x2 dx A) True B) False

A:

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the v...

A:

Q: S sinxcos(2x)dx

A: We need to evaluate the following integral I = ∫sinxcos2xdx Formula Used: ∫xndx = xn+1n+1+C

Q: x2 + 2 dx x° + x •T/2 5. 3 6. t cos (t) dt

A:

Q: 21. |'t cosh t dt Jo

A: Note:- These are multiple question and according to our company guideline we can do maximum one ques...

Q: +o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is co...

A:

Q: O ) Let -2 М- -16 Find formulas for the entries of M", where n is a positive integer. M" =

A:

Q: Prorate the following expenses and find the corresponding monthly expense. Lan pays a semiannual pre...

A:

Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², x2, 2. x = ...

A: Area of the Region between the curves : If f(x) and g(x) be two continuous function on a,b and f(x)≥...

Q: Solve the following problems. Show complete solutions. 1. S sin° (2æ) cos (2æ)dæ

A:

Q: Suppose 8 is a real number constant. Evaluate the limits, writing your answer in terms of 3 where ap...

A:

Q: given 2=y+h (x= yz) and h Ct) is continwas そ X. aメ what Is

A:

Q: Find the area of the triangle with vertices P(1,3, –4), Q(0,0,0) ar R(4,6, 1). NOTE: Enter the exact...

A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: 1. Using the Root Test, determine whether the series (-1)"en: sin 2n '(금) is absolutely convergent, ...

A: This is a problem of series and sum calculator. Based on the general formula of series we will answe...

Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

A:

Q: 1 Scos 3x sin* 3x dx 1.

A:

Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

A:

Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point (0,8a)...

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

Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

A:

Q: Vaix+ Vqx dx

A:

Q: Let a = ci + j and b = 3i + 4j. Findc so that the angle between a and b is . Round your answers to f...

A: We will use the formula of angle between two vectors to solve this question.

Q: f(x, y) = x2 + Sxy + y2 O f(8,0) = 64, local minimum; f(0, 8) = 64, local minimum f(0,0) = 0, saddle...

A:

Q: y sec2(tan-ly²) dy 1+y+ tan ( tan-ly²) + C A) True B False

A: We have to find the value of the integration  ∫ysec2tan-1y2dy1+y4 we find the value of the integrati...

Q: Question 1 A puck of soap makes a perfect cylinder It is submerged in water and begins to dissolve, ...

A:

Q: Find the length of the curve defined by æ? = 2y³ from x = 0 to x = 4:|| %3D

A: We need to find length of curve.

Q: 45-48 Find the exact length of the polar curve. 48.r =2(1+cos 0)

A:

Q: An old tire is deflating initially at a rate of v(t) = \E + 2 where v(t) is its volume in in' at any...

A: To find out the instantaneous volume at 1 hour.

Q: Construct a truth table to show that (p Ag) → p is a tautology.

A:   p q (p ∧ q) p (p ∧ q)→p T T T T T T F F T T F T F F T F F F F T  

Q: 2 dx 9-36x²

A:

Q: f(x) : 1

A: The given function f(x)=1x2

Q: Practice Pg)48 on increasing expontntial fonction 4=al6y and foncti on gu=<(d)Y interseed a de creas...

A: Explained below 

Q: Set up an integral representing the area A of the region enclosed by the given curves. x = y*, x = 2...

A: Explained below 

Q: wnd the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given by...

A:

Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: A plant encloser is in the shape of half of a cylinder. Find the surface area of plastic covering. L...

A: Surface area

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A:

Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

A:

Q: Construct a truth table to show that (pnq) → p is a tautology.

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A:

Q: y

A:

Q: Write the following in the "if" and "then" form 1. Eighteen-year-olds are eligible to drive. 2. A r...

A: If and then statement

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (6, 9) a = b =

A:

Q: 1. sinx siny dx + cosx cosy dy = 0 %3D 2. [2xy cos(x2) – 2xy + 1]dx + [sin(x²) – x²]dy = 0 3. y?dx +...

A:

Q: 3. Consider the series n (2л — 1)8п. - п4 + 1 n=1 Use the previous item to find its interval of conv...

A: Solution is given below:

Q: passes omma-separated list.)

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A:

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: