sin 3rdx 8. Evaluate: S 4+cas²3x

Q: If r(2) = sin(z² – 10z + 16), find r' (z) =

A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

Q: Evaluate by Trigonometric Substitution: Vx2 – 9 dx 6. x2

A: Given: I=∫x2-9x2dx   ...(1)  Apply the trigonometric substitution to solve the given integral; Let,…

Q: "x=Arctant, y=/1+76, find the value of a if y' 2ay" := 17 when =2 O 2/2 O -2/2 O - V2

A:

Q: 4x + y+1 = 2 tan 4x +y+1= 2 tam

A:

Q: sin Z 35 Y Be sure to answer as a fraction in lowest terms 12 37

A:

Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

A:

Q: 3. 9. dx Sx+I

A:

Q: What are y(100) and y(101) for y = cosh x?

A: Given that y= cosh x. Compute the derivative. y'=sinhxy"=coshxy3=sinhxy4=coshxyn=sinhx, n is…

Q: Q3. Evaluate 2m sin2e de 5+4cose

A: To evaluate the given integral

Q: 7. (a) cosh?1 (b) 2 sinh² 20

A:

Q: What are y (l00) and y (101) for y = cosh x?

A: Given: y=cosh (x)

Q: 000 SUD 31 (i) y" +4y= 2 cos²x+10e

A:

Q: 3D when x= 1, y- "4 AnswER. In x + tan()=1

A:

Q: x*dx (x² + 4)2

A:

Q: Q3. Evaluate ". -2n sin²0 de 5+4cos0

A: To Determine :-  ∫02π sin2 θ5 + 4 cos θ dθ

Q: Calculate the 2 Root estimate for: 10 y+3xy=57 Using NR Method. (Xo =i

A:

Q: x* sin xdx .4 5.

A:

Q: S sin 2t Vcos 2tdt

A:

Q: if dx =3 then k =2e3 %3D - Select one: True False

A:

Q: 1 dx VI+ 7x 14. 0.

A:

Q: Evaluate the t resiake theerem 2 allowing real infegrals by dX ans : こ。(X+a?)2 493 • I= F ans 8…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Find y = 223 [tan(3r+1)] 2° + ry – y5 = 8x2 = (x + 3)² (x² – 2x) -

A: The Product Rule : The Product Rule says that the derivative of a product of two functions is the…

Q: 8) Find the dexivative of fex) - sinx cos x, Write your answer Single term. as a

A:

Q: 3 sin y prcos y 2. xdzdxdy

A:

Q: d. y =x (n* + e*)6

A: Given that, y = x (πx + ex)6 And we have to calculate the differentiation of the given function,

Q: 3) Plove that (3-21) (x+21) = 3 +2i if it was very valuable X, Z

A:

Q: f(x) = (x + 2)3 – 3x + 5 with error e = 0.1 by using False Position Method. Write your answer in 4…

A:

Q: 14. Find a) fesin2xdxb) Ja dx, using the substitution x-2 tan0.

A: (a). The given integral is: I=∫ex sin(2x) dx

Q: (cas(r) – 1) = -sin(x)(?-y),>( ®* ) = 0

A: the solution of given initial value problem is:

Q: When evaluated, | x sinh 3x² dx is equal to A. cosh3x? +C B. cosh3x? +C C. 3 cosh3x? +C D. 6 cosh3x…

A: we will let  3x2= t  to solve this question.

Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: Find -dx + C (To enter In(|x), you would enter In(abs(x)). Note: In abx(x) will not work )

A:

Q: dx Evaluate (x+6)x^ 5 Arctan 3. + C 3 2 Arctan 3 +C 3 3 Arctan 3. + C 2 Arctan 3. + C

A:

Q: b. Solve for x: sin(x) = for x E [-II, 211] %3D

A: Using sine wave graph we can find it easily

Q: Q2 by using Simpsons Rule method to find ,n=6 5 1 dx х 2

A: use sub interval for finding the integral.

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: Q2. Evaluate by “by Parts" method 3 Va tan-1 Vxdx

A:

Q: I cos Z Be sure to answer as a fraction in lowest terms. 12 15 X.

A:

Q: 14. Find a) fesin2xdxb) f dx, using the substitution x = 2 tan0.

A:

Q: #8

A: We are going to use the formulas:

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: Find the abpolute elatia s % emg in XA when Xy=3 and ZA= 0.666

A: Absolute error = |xT - xA|, where xT is true value and xA is a approximate value. Relative error =…

Q: Q1/B: Evaluate: (a) tanh-1 0.75 and (b) cosh-1 2.

A:

Q: mZF=90° DE = V113 DF = 7 EF = 8 What is the value of cos W? O A. 7 O B. 8 7 OC V113 O D 7 V113 P…

A:

Q: Find Se2" sin(2x)dæ

A:

Q: z-sinz dz is 23 -3 3 a) 0 b) - ni с) 2пі 2πί d) 7! а. b. С. O d.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: -1/2 1 b) -dx (1+4x²)[tan" (2x)}

A: We apply substitution method of integration

Q: COs r dr. (2² + 4)(x² + 1) Evaluate P.V.

A: Consider the given integral which is required to calculate.