3. Given: sec(0) = %3D 2 find sin(0) . 1 а. 2 2/3 b. 4 C. 2 d. Answer Unavailable

Q: The value of | sin(x + y) dx dy is

A: We will use the fact that  sin(x+y)=sinx cosy +cosx siny to evaluate the given integral.

Q: If y=sin²r+ tant, x=- In(-cost) – e sinr, find the value of y' when = 6 2+ Vze VE 2/3 V2-e ? 2-Vze 2

A:

Q: -y = tanh" (cos e* ) ||

A:

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: a L{sin at} = s2 + a?

A: We have, Therefore,

Q: If y = cos? x – sin? x, what is y? X - х, | dx

A:

Q: dy sin(x) Find for y = dr -3

A:

Q: The general solution of y 'tanx sin2y = sin?x + sin?y is

A:

Q: The change in heat radiated by a body, detected by a pyrometer (non-contact temperature sensor), is…

A:

Q: If y = sin?t+ tant, x= - In(- cost)-e sinr, find the value of y whent=: 4 3/2 (B 2- Vze ? 6. (C) 2+…

A: Given y=sin2t+tant and x=-ln(-cost)-esint

Q: Given: x = 0 – sin 0; y= 1 – cos 0 d'y Find: da?

A:

Q: Ty sin (a 0. ² + y°) dædy Find

A:

Q: If y = cos? x – sin? x, what is ? dx dy dy = 2(cos x – sin x) dx dx Option 1 Option 4 dy dy -2(cosx…

A:

Q: = - In(- cost) – e sinr, find the value of y' when t= 4 If "y=sin?t+ tant, x=

A:

Q: {2ху — tan y)dx + (x? — xsec?у)dy %3D 0 - -

A:

Q: (b) S¤(tan? #)dx (c) S cos(2t)e'dt (d*) S(arccos x)²dx (e*) S (1+ 3x)2 dx Hint: Check for a similar…

A:

Q: dy if x= 2 sin t, y = cos 21. Find dx sin 21 A. 2 cost B. - csct C. tan 21 D. -2 sin !

A: If x=f(t)  and y=g(t) , then dydx=dydtdxdt.

Q: Given the following DE (cos 2y – 3x?y?)dx + (cos 2y – 2x sin 2y – 2xy)dy = 0 -

A:

Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

A:

Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

A:

Q: 3- + y cot x = 2 cos x %3D dx

A: The details calculation is given below

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…

A:

Q: dy - y = x? sin(x) dx

A:

Q: only 8 please

A:

Q: /4 sec? Vwdw a) b) sin 2.xcos xdx c) f tanh xdx

A:

Q: following + (Co Sx) y Solve the Sin X dy tanx %3D

A:

Q: If y = sin?t+ tant, x=- In(- cost) – e sinr, find the value of y' when 3/7 -VEle 6/2 2-Vze ? 2/3…

A:

Q: CoS X • dx Caleulate 4.3 sin x 2.

A:

Q: Evaluate: 1 v1-x² sin(a? + y³)dydx

A:

Q: sin(x ) Evaluate: [ - dx 2 x cos 4

A:

Q: a)- Find for, (x+ y)* = tan-14× + T* + InIny dy dx

A: To find dy/dx.

Q: 6 3 oy sin (a? + 3²) dædy Find

A:

Q: If y = sin?t+ tant, x= – In(-cost) – e sinr, find the value of y' when t=- 4 ... 2+ Vze V? ... (B…

A: We have to solve the problem

Q: Evaluate k sin(kx – T) dx where y and k are independent of æ, and y is given by the solution to the…

A:

Q: satisfied

A: We will solve the problem.

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (n2, 0) (0. 0) Amplitude interval =…

A:

Q: 3. Given 0 < 0< 2T, what are the extraneous solutions for the equation tan 0 sec 0 = 1?

A:

Q: 1. Find for, (x + y)* = tan-14x + T* dx InIny

A:

Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: implicitly, if e*(e» – 1) + sin(2x + 5y) = In(v7) – · cot(2x) 8. Find %3D y+2

A: Given,

Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

A:

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: Given: = 0 – sin 0; y=1– cose Find: dz2

A:

Q: Q7 tan (0) sec (0) de is equal to: sec (0) - 3sec (0) + C 3sec (0) +C 3cos (0) +C tan (6) sec (0)…

A:

Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution is given below

Q: (b) If y = sin (m sinh¯x), find the value of (yn)o ·

A: Hi, you may find the answer in the form of hand-written note.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.