2) x - y> 2 止十中千tg

Q: 1) y= 1 tan 20 3元 5元 3n 7元 2元 元 TC 元 4 2. 4 414

A: The given data is: y=12tan2θ  To draw the graph.

Q: Ei Tan Bo Xx SiA find JEi de a Bo

A: Given           εi=Tan β0X1X2β1-sin Yi3 Find ∂εi∂β1 and ∂εi∂β0.

Q: 3- S Srår de

A: Find range of r and theta . Here r varies from 1 to 4 and theta varies from -π/2 to +π/2

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: 6. tanh (0.573 - j0.783)

A:

Q: S(1+secx)³dx

A:

Q: 5. show Hhat 1- l t tayI - tan (tan" 17

A:

Q: S sec 7x tan 7x dæ 4,

A:

Q: 1 en (enx)+ dx (enx)?

A:

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

A:

Q: 19. Use u substitution to evaluate. x5 So (4+x6)³) dx

A: Evaluation of the definite Integral by substitution method

Q: Sec o

A: The solution is given in the next step.

Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: 13 |xsin xdx ーT 15 (xsin xdx

A: I=∫ x sinx dxIntegration by parts;u=x, v=sinxI=x∫sinx dx-∫(1 ∫sinx dx) dxI=-x cosx +∫cosx dxI=-xcosx…

Q: et dar. (2e2z – 4ez – 1)

A:

Q: 2. Which is equal to sec 36°? Csc 54° sec 54° Csc 36° sec 126°

A: We have to choose correct option and here using trignometry ratio

Q: /3 89. sec²0 d0

A:

Q: S (sech u + tanhu)² du

A:

Q: If In(ax)dx =4, then a %3D

A: Proceed as shown below...

Q: Evaluate: ²₁¹ (x² - y²) ²1 x+y du du dt

A:

Q: 14) ſe" Vtanh* e" dy

A:

Q: 1. By using the definition, show that

A: 1. (a) To show that,                            limn→∞4n2n+1=2

Q: compute without using a calculator.

A: We find the reference angle of -pi by adding pi with it.  This is because we want an angle in the…

Q: ge of if the tran = (40 -

A:

Q: 2. y = Arctan

A:

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: 3. IfU = x' + y'+z'- 3xyz, show that xU + yU + 2U = 30

A: Topic  = Derivative

Q: 10 · S (sech u + tanh u)² du

A:

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

A:

Q: What is the value of sec(585°)?

A: To find the value of sec585°, first write sec585° in terms of  cosine and solve as follows.…

Q: Evaluate without using a calculator.

A: Given  sec-123 The trigonometric identity used here is  secx=1cosx

Q: a) fx² sec2

A:

Q: Evaluate using ALgebraic substitution y dy

A: Given  y3dy / (4-y2)3/2 We have to integrate this

Q: Resolva pelo método dos coeficientes indeterminados : y" +4y=e* + sen2x

A:

Q: 2 50 = 50t Rint 204 Rint %3D

A: Solving the problem by finding the Rint.

Q: 14) ſe Vtanh* e° dy

A: Step:-1

Q: Evaluate sec (13t)dt. sec (13t)dt =

A:

Q: How is the substituation made from Eq.1 to be become S

A:

Q: 1- Só pIn(11) xy exy´ dxdy dxdy

A:

Q: Sesch (sinhtx) sech4x

A: Given integral, ∫cschsinh4xsech4xdx To evaluate the value of the integral.

Q: sec 90

A:

Q: Show that - dx /x²+2x+2 L- In(√5-2).

A:

Q: 2 + 5 sede) ( *)) d. /2+5 sed*). 3x 3x 4. 2 + 5 sec e tan

A: 4). Given: I=∫e3x2+5sece3xtane3xdx   ...1   As we know that; ∫secxtanxdx=secx+C

Q: 1. Use the substitution method to evaluate S₁² VAZ ²³ + 50 dx

A:

Q: Ise Implicit Differmtia untic 4cosxsiny=1

A: Given function is 4cosx siny=1

Q: 13. Use a u-substitution to evaluate /x²/(x³ – 2) dx

A:

Q: state political analyst wanted to se where a person lives and whether th

A: Observed Expected (O-E)^2 (O-E)^2/E 38 31.53704 41.76989 1.324471 27 33.46296 41.76989…

Q: In ea 10. S- dx x²ex

A: Here given integration  I = ∫ln(e)2xx2e2xdx

Q: If 3-2 dies] dn 15 2. then Fra) de:

A:

Q: When is lnx negative?

A: Let the function be                                  y=f(x)=ln(x) The domain of the function is all…