The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Find the volume of the solid generated. Take the elements of area parallel to the axis of revolution.

Q: Let a = ci + jand b = 2i + 14j. Find c so that a and b are orthogonal. i

A: Given that,a=ci+j and b=2i+14j

Q: © If g(x, y) = In then xgx - vgw in simplified form is [c].

A: The objective is to solve partial derivative problem and explain process. 

Q: dx

A:

Q: 1. Separation of Variables: Solve for: y' = yx? x* = y Inc O x* = cy*

A:

Q: 16. Find the area of the shaded region. Leave your answer in terms of pi. 50'

A: The solution is given in the next step.

Q: 2. Find a particular solution to each of these ODES by using the method of variation of parameters: ...

A: Let's find. 

Q: If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6...

A: Question- If an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continu...

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: f(x) = ex, a = 1 f and T, on the same screen. y y 3 -1 -1 1 -4 -3 1 y

A:

Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find. 

Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series. 

Q: the curve C:r = 1+ sin e and above the line e: r= 3/4 c

A:

Q: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What ar...

A: Given problem:-

Q: tan 2x lim 4.x4

A:

Q: 4 -5-4 -3 -2 -3 2.

A: From graph  as x approaches to - 2 from the left side f(x) approaches to +∞

Q: Which of the following statements is false for functions f(x) and g(x) and constant c? O (c - f(x)) ...

A: Given query is to find which statment is false.

Q: Consider the function below. x2 f(x) : x2 - 25

A:  

Q: A rancher wants to construct two identical rectangular corrals using 200 ft of fencing. The rancher ...

A:

Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

A:

Q: Evaluate the definite integral. dx

A: As per guidelines we can solve we can solve one question at a time so if you need more answers kindl...

Q: The limacon r = 2+ cos 0

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: dx (p) x² + 25

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: learning.mheducation.com Question 3 of 7, Step 2 of 2 3/17 Correct The effectiveness of a certain me...

A:

Q: dy -2 sin x where y (5 = JT dx

A:

Q: Determine the general equation of the plane satisfying the given conditions: plane A containing the...

A:

Q: (ysin x+xy cos x)dx+(xsin x +1)dy = 0 Ans. xy sin x+y = c

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

A:

Q: Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

A:

Q: Re-write. the.crthar..fie.i.texated.ntegrals. S FiXny, Z)dydzdx dzdyd X -I x2 d

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find a polar equation in the form r = f(8) of the hyperbola with eccentricity e = 4 such that one of...

A: One of the foci            =0,0    poleeccentricity                   = 4vertex nearest to pole = 2,...

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n = 1 n8"

A:

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

A:

Q: ydx -(x +3y)dy = 0 Ans. x = 6y In

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Assume that the function f is such that f(3) = 1, ſ f(x) dx = 5, and f'(x) is continuous on [0, 3]. ...

A:

Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

A:

Q: 7. Which of the following functions is defined implicitly? 2х-1 b. y = c. (x - 1)2 + y2 = 4 d. y = c...

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

Q: Ду dy %3D II

A:

Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

A:

Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

A:

Q: b Let y = x²sin(y) + yeXy, where x = s + 2t and y = st dv when s (ii) dt = o and t =1 is [d]

A: Find your answer below 

Q: Y= cas Cex), Y= sinx, 0SXT

A:

Q: Find the arclength of y 3x + 4 on 0 < x < 1

A:

Q: Find the are length of the curve y² = 3x between the from x=0 to x=9 ! Use integral approximation! %...

A:

Q: 2. If y = xlnx,

A:

Q: s. Evalnate.the following.deuble.integrals.by.converting.bo polar.Coa.r.dinates. C.. Ans: 3.6.

A:

Q: 2 2 V 4 +x-

A:

Q: 2. [2xy cos(x?) – 2xy + 1]dx + [sin(x²) – x²]dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the different...

Q: Use Taylor's Inequality to determine the minimum number of nonzero terms of the Maclaurin series for...

A: Use the Taylor's inequality to determine the minimum number of nonzero terms.