3. Evaluate || (3y+ 2x“) dA, where R = {(x, y) E R² : |x|+|y| < 1}. R.

Q: (x + y)ds, C : ¤ = 2t, y = – 2t + 3, for – 3 <t<0. Preview

A:

Q: To show that ( n + a ) b = θ ( n b ) ( n + a ) b = θ ( n b ) for any real constants a a and b b…

A: Here we use the binomial expansion:

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: Tgir.y) = (2ry, 1+2+) and g(1.0)=8, then g(4.1)-9(2.1) =

A: Topic:- calculus

Q: Consider generalizing in the following way: N customers line up for their sandwiches, and you are…

A: The probability of an event is the chances of happening of the event. It can be defined as the ratio…

Q: p) Determine | (hVx +r) dx (where h, r are real numbers).

A:

Q: Determine Dx[x(x-2)²]

A:

Q: Find tan a. V[ ? (V5, -/7)

A:

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: Find f(2 x* - 3 V) dx.

A: Given : ∫2x5 - 3xdx

Q: x¹ + x² + 1 I(x² + 1)² -dx.

A: The given integral is: ∫x4+x2+1xx2+12dx Evaluate the given integral.

Q: 21-y 2. Evaluate [(x + y)dxdy. 1 0

A: 2. We need to evaluate the following iterated integral  ∫12∫01-yx+ydxdy

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Show that A (B × ℃) is not equal to B · (À × ℃)

A:

Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: Calculate R5, M5, and L5 for f (x) = (x2 + 1)−1 on the interval [0, 1].

A:

Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: Evaluate | (r + y)ds, c : x 3t, y = - 3t + 3, for 0 <t< 3.

A: Given: ∫C(x+y)ds, C: x=3t, y=-3t+3, for 0≤t≤3

Q: 2. Find whether the function F-(* - y' )i + (v² - 3x)j + (:² - xy is irrotational.

A:

Q: Calculate R8 for f(x)=7-x over [3,5].

A:

Q: The p.d.f of a R.V X is ƒ(x) = 2x,0<x< 1. Find the p.d.f of Y = 3X +1.

A:

Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: Find // (5x + y)dA where D : {(x, y) | x² + y? 0}

A:

Q: ke For what values of the constant k will the Second Derivative Test be inconclusive for f(x, y) at…

A:

Q: Q2 || Find Def , where ((x) = (x) =

A: The functions are f(x)=1x-1  &amp; g(x)=xx-1 The composite function of f(x) and g(x) is defined as…

Q: | (4z + 4y + 4+8zy) dA where R= [1,2] x (0,1]. R Let I Find

A: Given: ∬4x+4y+4+8xyddwhereR=1,2x0,11

Q: Find M3 for f(x) = 4x + 7 over the interval [0,2]

A:

Q: ...... ...... ... f(t+h)–f(t-h) 7 What form does the truncation error take for the difference…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.