Spot the mistake/s in the solution. Tick the box that applies. I da s (ort? x -1) cot %3D X Csc ^x dx 3 S cot -? x csc? x da - ot A + tan x +C O 5 4 0 6 07 O 3 2 0 1

Q: 3 dx (1 – x)? - A 3 В 2 D 3 E divergent

A:

Q: What is d/dx (x^2 cot x)? Which one is the right answer? Answers: 1. 2x cotx-x^2 csc x 2. 2x…

A: Given: ddxx2 cot x=?   Formula used: Product rule ddx(uv)=vu'+uv'

Q: O Find a root of the equation tan x = 4x correct to 3 decimal places, xo = 1.5 %3D

A: Newton Raphson Method:- for a function f(x) the root is xi+1 =xi - fxif'xi; i=0, 1, 2, ....   Given…

Q: F(1) = (sint)ï +(/2 cost) j+(sint)k

A:

Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *…

A:

Q: Find  when y = sin x.

A: Consider the following equation:

Q: f sin³ ycosydy

A: I have stated the used formulas in the solution

Q: "y=sin?s+tant, x=-In(-cost)-em, find the value of y when =- 2/3 Vz-e 2-Vze 2 2+VZe VE VE

A: Differentiate at given value

Q: B) xy cosy =

A:

Q: 6 tan1 d) dz 42] =O d. [9 csc1 2y =C e) dy d. f) da 5 cot-1 4gl

A: ddx(arc cosec(x))=-1xx2-1ddx(arc cot(x))=-11+x2 ddx(arc tan(x))=11+x2

Q: 1 2 ху S S xe^ dx dy 0 -1

A:

Q: Evaluate and simplify aluse yuotent rule to Rind US. dxL3x t. / Find. d dx [sec(cos/(1 JCX

A:

Q: find the derivative of y= ln | sinx |

A: Given,

Q: dy 32) Solve dx xy COS x sin x - y(0) = 2. y(1-r) x ||

A:

Q: Ir SxVI - x* dx = S ole g(e) de, then g A) 1 В 2 c) o 1 II

A:

Q: sec² x 0 1+tanx If sh -TT/2 -TT/4 TT/3 TT/6 O dx In 2, then what is the value of k? =

A:

Q: Median √3 St= = = How? $0.9062 0.9062 Cos (1-√3x) dx = 1/2 -0-1 a=0.5968

A:

Q: (1 - cosx) dx Evaluate: cosx(1 + cosx)

A: Given: ∫1-cosxcosx1+cosxdx Evaluate the given integral.

Q: x+2 dx 교2-4z+8 Evaluate 4x + 8 2 arcsin (프르) +C a. - b. 공Inla2-4z+ 8| + 4 arctan (등) + C 4.a c. in…

A: We have to find integration .

Q: Solve using variation of parameters: y" - 2y' + y = e(1+1²) + 3et p= ₁ ¹ + ₂ tet (Use 2 decimal…

A: Using Variation of Parameters Method we have to find the u1(2).

Q: Fired Show that Coshz <Coshx Cosy +i sinhx Siny

A:

Q: Let x = 0.1 and y = 4.73. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal digit)…

A: C=3.61 I have done solution step by step in detail....go through the solution

Q: Home work: use latace trans for mation methad to solve the INP -2+ y" +y-e sint, ylol= 0, jl0) O

A:

Q: Y(6) = cot(5s)- 3 tan s - csc (5s)- 3 sec' s s:y (s) |

A:

Q: Specify it if the differetial equation is exact or non-exact. FInd the general solution. 2ydy =…

A:

Q: eX(1+ sin e^) dx 2. sin? ex

A: We can solve question no 2 as below.

Q: y = tanh- (x) + sech -1 /1+x2 %3D

A:

Q: Evaluate: S tan 0 Insec@d0 A. 2(In sece)? + C c. (In sece) + C B. (In sece)² + C D.극(In sece)2 + C…

A:

Q: Calculate dy/ dx where cot x (a) y = csc a sec x (b) y = COs x + x2 (c) y = tan(4r" + 3r*) (d) y =…

A: *concept:- use chain rule. dy/dx = (dy/dt)*(dt/dx). here, t = 5 + cos x.

Q: c. When we use the integration by parts to integrate * tan dx we obtain an expression of the form A…

A: Given that a integration here we use to solve this integration by parts method .and after this we…

Q: Hw3] Find )xsin(x?) dx

A:

Q: sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

A: I have stated the used formulas in the solution

Q: TC y = (sin x) → y' () tan x = ? %3D

A: Note : As per our guidelines we are supposed to answer only one question . Please kindly repost…

Q: Find dy. Do not simplify your dx answers cashy (x² + + 7) = x curt y² 1. COS -241

A: As per the instruction, we will be answering only the first question. For (1),…

Q: 3. Determine order and degree of d³y ;+ sin (y") = 0 dx*

A:

Q: (2xy-y)dx+x(x+ 1)dy = 0 %3!

A: Exact differential equation :       A differential equation is said to be exact if it satisfies…

Q: Vas x? - 4 dx by using trigonometric Solve substitution 2 Sec (0)

A: We have to find

Q: Evaluate dx 4x4+4x2+17 2x 8 sec-1 2+1 + C O None of the choices. Please refer to my solution. O…

A:

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy

A: x+2y-4dx+2x-4ydy=0              (1)  Comparing with Mdx+Ndy=0  ∴ M=x+2y-4, N=2x-4y ∂M∂y=2, ∂N∂x=2 ∴…

Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: Given y= cos-(tanhx), determine dx A - sechx sech?x 1-tanhx © none of the given choices sechx…

A:

Q: cos(2x-1) 1. S dx (Integration by Parts) ex

A: Given

Q: Spot the mistake/s in the solution. Tick the box that applies. S sin x h (os x ) dx

A:

Q: 1. Sxe3*dx 2. xsecxtanxdx 3. Sxarctanxdx 4. SIn(x+1) dx

A:

Q: Q/ Find the intergration 3 tan? Vx dx.

A: Consider the provided integral, ∫3tan2xxdx Evaluate the provided integral. First, we take outside…

Q: The spray from a watering hose spans 30°, reaching both a cluster of tulips and a daisy, which are…

A: Sine Rule states that if A, B and C are angles of a triangle with opposite side a, b and c…

Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

A:

Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question…