Find * dy ,If y 3 dx + x O x^2 + x O x^3 + x^2 +1 O x^2 + x + 1 O 3x^2 + 2x + 1

Q: Use differentials to approximate the value of 52.1. 100+ 5ln5 50+ 6ln5 50+ 5ln5 2 100+ 6ln5 4

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Q: > Evaluate the Antegral dx ax45x +2

A: Rewrite the given integrand as follows. 32x2+5x+2=32x+1x+2=22x+1-1x+2

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Q: * Find dy/dx for the function y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A: We know that derivatives  general power rule is - d(xn)/dx = nxn-1. And d(sinx)/dx = cosx ;…

Q: STANIS 3, 4x+5 dx = 5.5. tdt (2+²-3j³/2₂ 6. Ss in ³2x cos2xdx

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: (5) Evaluate the definite intergral [/³ (sec²x+3x)dx. /3

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Q: Use integration by parts to verify the reduction formula.

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Q: dx

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: 2. Show that P(1-x)° dx= x'(1-x) dx. %3D 0/

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Q: Find general soulution (x+1)dy/dx +(x+2)y=6xe^-x

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Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 + 8 8 sin(3x)cos(3x) , sin(2x)cos(2x)…

A: We need to evaluate integral.

Q: dy/dx and d^2y/dx^2

A: Here; x=e-7t+2 .................. .......(1) y=6e2t+e-3t-4t   ......................(2)

Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

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Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Ssin x x cos x dx = %3D Select one: а. -cos 2x +C 4 b. -cos x + C 4 c. -sin 2x + C 4 d. -sin x + C 4

A: We need to evaluate the following integral ∫sinxcosxdx

Q: Find upper and lower bounds for

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Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: dy_x² +2x(1+x*) tan" x (1+x*) dx O Op tion 1

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Q: Evaluate: 2) x-In x dx

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Q: Find 2. dy of 2.

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Q: and d^2y/dx^2 for

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Q: Compute ∫xsin(3x−2)dx.

A: Let the given

Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

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Q: find dy/dx of x^5y-xy^5=1

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Q: dy 3. y = [(x + 1)(x – 1)]³, dx dy 4. y = (t + 4)(t – 2)(t – 1), dt 12/07/2021 15:

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Q: у %3DIn(In sec x)

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Q: Evaluate dy/dx at x=2 and y=3  if   x4 +  y4 =16.

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Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: dt 3. J Tat2+9) 4. Sx² (1 + x³)/4 dx 5. S; ds (1+s²)3

A: Question no. 3,Given,            ∫t4t2+92dt

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Q: 2. [ y dy dx carctan3/2 3 secx 3/2

A: Topic  = Integration

Q: Use differentials to approximate the value of s2.1. O 100+6ln5 4 O 50+5ln5 2. O 100+5ln5 4. O…

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Q: 6(2tanx - x^4 + 4lnx)^1/4(2sec^2x - 4x^3 +4/x)dx. Hint: let u = 2 tanx - x^4 + 4lnx

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Q: fil experini for dy txďn

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Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: integrate x^4cotx^5 dx from 0.4 to 0.8

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Q: Evaluate L S dx dy. O 1 2/3 1/2 O 2

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Q: if X #0 メ=ロ Frnd continuous

A: given the function fx=xx if x≠00   if x=0 we know that x=x if x>0x=-x if x<0 therefore,…

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

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Q: Find the intergral of (5-4x)/(√(12x-4x^2-8) ) dx

A: It is given that,               (5-4x)/12x-4x2-8dx     we have to integrate it.

Q: Find the geneul suluticn dy t. + 2y= 2X 2. dx

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Q: 2olue dy %3D

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Q: Let y=sqrtX. Find dy/dt when x=4 and dx/dt=3

A: →Use chain rule of differentiation.→dxndx = n xn-1     When n = 12         dx12dx = 12 x12-1…

Q: Use the composite Simpson's rule with step length h=0.5 to determine 1= [ (2x - - 3x2 + 4x – 1)dx,

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Q: find the area of the shaded 4) reglon y = 2 2- y = 2 sin(Tx) 3 х -1- -2+ -3+

A: From the given graph the shaded part is on the interval x=0.5 to 2.5.  So find the area between the…