Vx2-3 14. dx V3 15.

Q: a) By using the graph of function y = cos x, graph the function y =- cos (3x +) x-8

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Q: If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x…

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Q: In the video, we introduced Newton's Method by considering the function )-x +1 and trying to…

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Q: The area under the entire curve is given by 15 dx. We have 00 15x-3 dx lim 15x-3 dx - lim - 00 lim…

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Q: 2. Find the following improper integral. 00 - 0.1x dx 1

A:

Q: 6. (a) f(x) = arctan (e-2) 6. (b) f(x) = [arcsin (²)]³

A:

Q: 1) lim y-4 x+6x+5 2) lim 2-3x-4 t+3t2-12t+4 sin3h-2h 3) lim 4) lim 3-4 gin

A:

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: cos x 13. lim x→(T/2)* 1 – sin x

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Q: A ( sinh x- coshx tanh e 6)

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Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: 4)

A: We will find out the required value.

Q: 2*csch( 2*) d x cosh(2*)-sinh(2*)

A:

Q: sinh? (e-") 4. dx Cosh(e-x ex

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Q: dr (c) (d) lim sint dt

A: Given:

Q: Q3: Let cosh(x)3D5, x>0 , Find values of: sinh(x), tanh(x).coth x ,sech x,csch x

A: Given, cosh(x)=5, x>0

Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: | 25. a. Find a curve with a positive derivative through the point (1, 1) whose length integral…

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Q: YOUR TURN 6 Find xV3 + x dx form Sub In be 1. 2.

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Q: 6. y = -sin (²x) III Thre KIN 플 X

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Q: EXAMPLE 5 Find (tanh(sin(x))]. SOLUTION Using this table and the Chain Rule, we have 1…

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Q: |- lim メ→ X-3 2. lim メ→2 (会 4 メー2 メ*-4 3. lim メ→。 3メ - S;u4X 4. lim メ→。 tau3X 5- lim 1- Cose Sin'e

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Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

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Q: 8. Using any work found in Question 7, determine the 3x (x? - 5)° dx a.

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Q: Evaluate the integral: t² ls teu du ds dt

A: Let's evaluate given triple integral.  There is no need to draw the graph.

Q: 5. Find the length of the curve x =y? +2} from y =0 to y = 3. In(5x+2). In 3x 6. Solve lim

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Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

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Q: 57. Extension of Example 8 Show that cos (x) is dx sin (x). 180

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Q: /sin³(x)(2x+5)6 ex4-5 3 . Find y' if y = %3D (ex*-5) ' log4(2x)

A:

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A: The solution is given below in the next step:

Q: 24. A particle moves along the curve y particle passes through the point (4, 1), its x-coordinate…

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Q: 1-2 c) dx

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Q: Find a limit equal to (x2 – 8)dx. 3

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Q: 1 lim, (e** - 1)sin-+9cos x . x0

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Q: Question 7: Use the trapezoidal rule with 6 intervals to evaluate f* 10 x7 dx ,giving the answer…

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Q: Example 9: use Trapezoidal rule to approximate S,(x³ + 3)dx; n= 6, then %3D compare the result with…

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Q: please explain how to find GINI Index if the lorenz function is Y=0.92x1.96 My answer book says the…

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.