e: 9 (-3y/4)´ (2y'/3), so your answer is in the form ay. SO

Q: (개) -3 dy 3yz

A:

Q: i=| .neN' JSI E (4i +1) = 2n² +3n +1 (2) i=1

A:

Q: cose o3drde =? ans. はは 3一

A:

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

A:

Q: Match the expression in Column K (numbered) with its exact value in Column L (lettered).

A:

Q: 3. 9. dx Sx+I

A:

Q: ly manufactur nk for the exp- greed that she

A:

Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

Q: of e dydx

A:

Q: a) 2 7e"- dy

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

Q: Use differentials to approximate VI2.3 . b Express your answer as a ±- where a is the nearest…

A: Given 12.33 Using differential to approximate 12.33  Let y=x3=x13dydx=13x-23dy=13x-23dxdy=dx3x23

Q: 8- Evaluate a) Sz? + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) S 3x. csc² dx x3-9x2+8

A:

Q: 3] y = 12x - 2x+ 5 Degree: Sign of LC: as x→-0, y→. as x 0, y -

A: We have to find the degree and sign of LC and find endpoints.

Q: 5. If y= tan x, prove that y``=2(1+ y² )(3+ y²).

A: Prove the given equation

Q: 2a + acoth 2z ) dz \sin 3z a/2

A: We are given the integral: ∫a22a1sin 3z+a coth 2zdz Let I=∫a22a1sin 3z+a coth 2zdz I =∫a22a1sin 3z+a…

Q: Find / sin(2r) PV -dr R I +4 by invoking Jordan's lemma.

A: Sol

Q: dz IV100-49(In z)?

A:

Q: 1. Use a substitution to find (6x2 2)e*+¤ dx showing working.

A:

Q: O cos Z 12 15

A: Right angle triangle

Q: 3) = + sin (4) r = y(In y- In r+1)

A:

Q: 2. y = Arctan

A:

Q: B. %23 Explain how you can prove that LA LC.

A:

Q: 5= 36-t sVE +at FND ds

A:

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

A:

Q: +y ntegral %% 0 0

A:

Q: 4. ) cosh z1 5.) csch z2 6. ) tanh z3

A: Given:          z1=2+4iz2=5e2iz3=4cis 40° 4)  coshz1=cosh(2+4i)…

Q: *(+²–1) cos[cosh (In r")]dr 4.

A:

Q: d) Sinh'u – Sinh'v = Cosh’u – Cosh’'v

A: According to guidelines we should have been able to solve only one question at a time #d Prove

Q: Find y' (y prime) and y" (double prime)y = cos(x2)

A: To determine the expressions for the first and second derivatives of the given composite function

Q: 4х-6 -dx х2-8х+20

A:

Q: )find dy to yalog,o(3X+1)

A:

Q: 2) у(и? + 1)du + (из — Зи)dy — 0 -

A:

Q: +oo 1 ( a) Σ 4n2 – 8n + 3 n=1

A: Solution 1: Given that ∑n=1∞14n2-8n+3 Let un=14n2-8n+3 and vn=1n2

Q: d 1 - (sec-!r) = dx Prove that xVx - 1

A: Let y=sec-1xsec y =xcos y =1x.....1 Thus sin y=1-cos2y=1-1x2=x2-1x2=x2-1x .......2

Q: evaluate the indefinite integral.

A:

Q: 1 y = -e*(dsin²3x-tanx ³) y'=? 10 (fx +1)

A:

Q: sin 3y limy0 5y 05 O 3/5 00 03

A:

Q: Ti Ti to 8 Integrate cosh(4z) dz, C any path from - 8 Use the first method, if it applies, or use…

A: Using:- sinhx = -isin(ix)               Sin(-x)=-sinx               Sin (pi/2)=1

Q: 2 cos (n²+ 3n – 7) - b, Find lim b, V3n² – 4 -

A:

Q: az Use an appropriate form of the chain rule to find dt 1 z = 2 cos x sin xy; y = 5t t Enter the…

A: z=2 cos x-sin xy ; x=1t; y=5t   see z is a function of x and y ,where x and y are functions of t so…

Q: # 2. So sin 32 dz C: Izl=3 (z-5)

A:

Q: 3. Determine the values of 0 if 0 < 0 < 2n given that cosx process. - 0.3178. Explain your

A: When considering the circle our degree values changes from 0 to 360. So we know in which quadrant…

Q: Chioma was asked to find (18x + 3)(6x° + 3x)° dx using u-substitution. How should Chioma define u?…

A: ∫(18x2 + 3)(6x3 + 3x)6dx We have to use u-substitution for the above function. To solve this, u is…

Q: sin z f(2) = cosz Bring your answer to the simplest possible form.

A: Find derivative 4f as per student required

Q: x ER that satisfy the

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: how that 1 dn v2

A:

Q: find using Serie s リ2 dx "I+X 2

A: As a first step, we need to obtain a series for the integrand.

Q: 3: Solve ODE Cist Order a. dY

A: