-48 36x y 6. 12y' ³ 53 - 4 pq°r 8. 8p q*r 2 210

Q: dy 13 %3D - dn Solve this by using Bernoullis eajuation?

A: Given differential equation is: dydx=y(xy13-1)dydx+y=xy141y14dydx+1y13=x                         (1)…

Q: Find the solution of y" + 9y' = 162 sin(9t) + 1296 cos(9t) %3D with y(0) = 5 and y' (0) = 9. %3D y =

A:

Q: Find : dw/dk α w=2 sin m ka 2

A: To find dw/dk for the given w

Q: 2 X(+) = SIN'セ y (t) = Cos?t 9) IF dy FIND %3D

A:

Q: Find the length of the curve. cos(4t) i + sin(4t)j + 4 In(cos(t)) k, 0 <t< n/4

A: We have to find the length of curve.

Q: 41. e* sin y d A, R = [0, 2] × [0, 4]

A:

Q: -을 x e [T, 3 J Sinx =

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Q: -п/2 сп/2 w L cos dz dy de (ху

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Q: [(VxA)• dS over the surface of a hemispherical b 2 and its circular rim if A = 3 sin()â

A: Sol

Q: 1. If the velocity of a particle is given as h(t) seconds, what is the displacement of the particle…

A: Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Q: 4-1{ 1 s(s? + 4 ၂။ sin2t.dt

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a particular solution to y" + 36y = 24 sin(6t). %3D

A:

Q: T T 68. y = sin 3 + 4 %3D -

A: Given data:     The given expression of the function is: y=sin(-πx/3 – π/2)+4.     (a) The general…

Q: Q.1B) Show: 2x 1 √ π.χ. sin- dydx + 2y SS || 2 √√ 4 (TT-+-+2²) π.χ. sin dydx = 4 2y

A: We have to compute the double integral. It is difficult to evaluate the integral. So we will change…

Q: dz Find dy x? sin(2y – 5z) =1+y cos(6za)

A: The given equation is: x2sin(2y-5z)=1+ycos(6zx) To find ∂z∂y, differentiate above equation w.r.t. y…

Q: dy 5. Solve the IVP: = cos(r+ y), y(0) = dr

A:

Q: Q.43) 2n S Icosx – sinx|dx =

A: Here we have to find solution of given integral

Q: L[(sin2t+cos2t)² + et sinh(10t)]

A:

Q: s(t) = 40 sin 2t at t = 0 %3D

A: Given position function

Q: T c •sinx, S* San* (1 + cosx)dydx 0, 0.

A: Given: The integration ∫0π∫0sinx1+cosxdydx To determine: The value of given integral.

Q: Given z 13t 9 and y- 169 sin : dy dx d²y da?

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Q: *10. cos Z = 0.5234 YX _ y 24

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Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: cos(s) d u du = ds -8

A:

Q: nd the tallawing differentu equation =d -1Sx +7 +eX cos(3x). the beral

A: The general solution of the given question has been solved below.

Q: 1. If x = e²" and y = sin(3t), find in terms of t.

A: According to Bartleby q&amp;a I can attempt only one question

Q: (d) > sin km/2 S.

A:

Q: - ual2) V17 – cos(27at) (2 – 4t) sin(#) Given f(r) = edt, find the equation of the line tangent to…

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Q: 6. Find * : y- + 5)ao TK, (b) y = Sin 5x I+cos 5x dx

A: Solving the problem by finding the derivative.

Q: FIND Y(S) OF THE GIVEN EQUATION. y" + 4y = cos(t-3) +4t, y(3)=0 y' (3)=7

A:

Q: ý + 16y = 8 (t – ) sin (2t), y(0) = 0, ÿ(0) = 0

A: The solution is given by using some formulas of Laplace transform as follows :

Q: Q3: B find dy/dx for the following equations : 1- y= e(3-cos4x) cot 3x 2- y =- 2x+sinx

A: Given 1)  y=e3-cos4x2)  y =cot3x2x+sinxwe have to find the derivative

Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

A:

Q: 6 3 oy sin (a? + 3²) dædy Find

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Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

Q: Find dy. y=cos(7 *square root of X)

A:

Q: 2. Find sin(72) -dz. where C: z(t) = 2 cost+i (2 sint). Os ts 2m.

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Q: A particle is moving along a line so that at any timet, where 0 st sn, the position of the particle…

A:

Q: with y (0) = 7 and y' (0) = 2. y" + 9y' = 162 sin(9t) + 648 cos(9t) y =

A:

Q: 25e230t sin2 40nt

A: We are given : f(t)=25e230tsin240πt ⇒f(t)=25e230t1-cos 80πt2 Now, L1-cos…

Q: Find the value of dw / ds at s = 0 if w = sin (e√r) and r = 3sin (s + π/6).

A: w=siner,  r=3sins+π6 Differentiating w=siner with respect to r, we get…

Q: dr Solve the given differential euation: + rtan 0 = 7cos0. de %3D r = (70 + C') cot0 Or = (70 + C)…

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Q: dt cos?(t) dr dx du du + ex- at cos²(t) :-7u, ex dr du -7u dr t(0) = 0, x(0) = a, u(0) = e et heR.

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Q: t/2 SL cosx/1+ cos²xdxdy is equal to 0, siny

A: Consider the iterated integral, ∫ab∫f1xf2xfx,ydydx In this iterated integral, the integration is…

Q: 4. 25e230t sin? 40nt

A: Given: 25e230t sin240πt

Q: D. ( [ 3° cos"(5t) dt sin(z)

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.