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

Q: Sinha Sechct) At

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Q: Use a linear approximation (or differentials) to estimate the given number.   sqrt(100.8)

A: Given that

Q: 2. the inde fincte Integial X+8)(Vã-8) da

A: Just first the simplification of given integral and then integrate ∫xndx=xn+1n+1+C, where C is the…

Q: Give a discussion as to why differentiation and integration are inverse processes. You should…

A:

Q: What are the formulas for differentiation and integration?

A: Differentiation formula: There are many formula available in differentiation. few of them listed…

Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

A:

Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Given: y=cos4θ

Q: - $x² cos(x³) dx

A:

Q: Find two z values so that 48% of the four decimal places, separated by a 0,0.

A: Given Data: Z is the standard normal distribution   P(-x<z<x)=0.48 P(z<x)=0.74

Q: integral of 1/sin3x dx

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Q: 5th derivative of y = log x^5 to the base 2

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Q: Find the First Derivative:  v=csc 7x

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Q: =) Give a discussion as to why differentiation and integration are inverse processes. You should…

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Q: he surface al derivative

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Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…

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Q: find the second derivative and simplify the final result 9. xArctanx - ln (square root of x^2 + 1)…

A: y=x tan-1x-lnx2+1

Q: tion with 2 degrees of freedom. Find hree decimal places.

A: It is given that the t distribution with 2 degrees of freedom. We have to find c such that P(-c <…

Q: 2. Identify the derivative (9) based on the product rule ie, (G). Simplify to a single term.

A: Given ∂∂TGT

Q: Integral sin( +6)dt

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Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: Use differentials to approximate the value of: 26

A:

Q: What are the formulas for differentiation and integration? How to apply those formulas?

A: See the attachment

Q: integral sec2(?) tan2(?) d?

A: Given that sec2?tan2?d?To find : Integral Solution :∫sec2?tan2?d?Let, tan?=tsec2?d?=dt∫t2dtt33+c

Q: What is the difference between differential calculus and integral calculus

A: The question is about difference between differential calculus and integral calculus.

Q: 000 Find the solution of heat equation by Fourier sine/cosine transform, if initial temperature is…

A: Here we use separation of variables. Means we assume that  ......(i)  be a solution of the given…

Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: Use Newton’s Method to estimate 3√25 to four decimal places.

A: We have to find: So we consider a function We know that: 27 is close to 25, so cuberoot(25) will…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos4…

A: Using chain rule to compute the derivative for y, consider the solution below.   First of all,…

Q: How is integral calculus related to differential calculus?

A: Solution

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Bring out the importance of Frii's formula.

A: Answer: For the given data

Q: 4 + sinh(3x) = 4 cosh(3x).

A:

Q: Use Newton-Raphson Method to find the root of x²-2x²–5 = 0 between [1, 4] accurate to five decimal…

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Q: Use differentials to approximate √16.5.

A: Given:

Q: Integral sinh2xcosh3xdx

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Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: Which of the numerical differentiation methods do you prefer? Why? And which of the numerical…

A: The preferred numerical differentiation and numerical integration methods are described below.

Q: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: The first derivative of the function tan2x sec2x C) sec2x cos2x O A) 2sin(2x) O B) (1-cos4x) O

A: It is known that ddxsinbx=bcosbx, where b is a constant.

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: Given query is to give an example of exponential and logarithmic differentiation.

Q: 2 cosh x+sinhx

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Q: How can you apply integral and differential calculus in real life situations?

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Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…