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Q: 2 * (1+x²)?" -00

A: Answer

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

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

A:

Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

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

A:

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: Use differentials to estimate (2.03)4

A: Given: To find differentials to estimate (2.03)4

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: Differentiate. h(θ)  = etan 2θ

A:

Q: Compute integral23  3x^2+2x+1 / x^2 dx

A:

Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 & ∆x=2

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

A:

Q: 1/2 x3 dx 1- V3 - 15 15 2 16 Option 1 Option 2 1 15 V15 16 8. Option 3 UOption 4 IN

A:

Q: Compute integral23   3x^2+2x+1/x^2  dx

A: The given integral is ∫233x2+2x+1x2dx.

Q: Inn NTT <os 2. n=1

A:

Q: Differentiate y = laz az-1 In r Option 2 None of these 2n In z Option 3 Option 1 2ln-1 In z

A:

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

A:

Q: 3x ン

A:

Q: Еxercise 13 Determine how тany times 0 арpears in thе тultiplicatioп table for Z16-

A:

Q: Compute.  integral (x) / square root(3-2x-x2) dx.

A:

Q: 9. Differentiate y = /sec³ (5t2)

A:

Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: Evaluate: 2) x-In x dx

A:

Q: 2. Estimate V50 using tools from calculus.

A:

Q: Compute. integral x2arctanx dx.

A: It's a integral question so I'm provided hand written solution.

Q: Find y' by ased proportici Ln Xャ3

A: Taking natural log both side

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: Compute ∫xsin(3x−2)dx.

A: Let the given

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: Use any method to evaluate the integral. 8× – 8 -x -dx 8* +8-*

A: To evaluate the integral

Q: Verify using Pathagoream Thereom EA 2xv x44 -radius

A:

Q: Evaluate the indefinite integral. 4х — 2 - -dx (4x2 – 4x + 7)³ - + C

A:

Q: Evaluate the integral 7-2x dx /7+12x-4x²

A:

Q: Šolve. In(-x + 1) – In(3x + 5) = ln(-6x + 1)

A: To solveln-x+1-ln3x+5=ln-6x+1

Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: The first derivative of the power series 3x2 3x f(x) = 3 1! 3x3 3x4 325 %3D - 2! 3! 4! 5! • is

A: Formulae: 1. e-x = 1-x/1! +x2/2! - x3/3! +x4/4!- ....... 2. d/dx{ e-x} = - e-x   Answer: f'(x)= f(x)

Q: Use differentials to approximate radical (48.7)

A: Ne need to approximate √48.7 using differentials.

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: #9. In exact form

A:

Q: Integrate (tanx)^3(secx)^3

A:

Q: How to solve J5xt3dx ustrg=5x+3 for integuation

A: To integrate

Q: Compute. integral 1 / square root(-x2 + 4x) dx.

A:

Q: Find the indefinde integrel de |-X~12X-20

A: We can use completing the square to the denominator. -x2-12x-20=-(x2+12x+20)…

Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: Evaluate the integral. 5) 5.7x 5 dx 9 - 4 A) -- In|9 - 7x |+ C B) -5 In|-9 + 7x | + c 5 C) In|-9 +…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: sech2(In x)

A:

Q: evaluate Inteyral 2 2x-1 x3+x2

A: The given integral is ∫124x2+2x-1x3+x2dx. Calculation: Rewrite the partial fraction of the integral…