How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x² 2x - 1) dx is accurate to within 0.1. 5 n =

Q: Given that cos(x) = (-1x2 for e<xc than a powr saries of cas(x) %3D ie e (2n)!

A:

Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: A rubber ball bounces to 3/4 of its initial height when dropped on a hard surface. what is the…

A: Given: The ball is dropped from the height 10 meters. The ball bounces 34 of its initial height.…

Q: Given that dx = m. a) Find [g(x) – 8] - 8] dx. [Select ] b) Find 3g(x - - 3) dx. [Select] | g(x) da…

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Q: x² -4 f(x) = x² - 5x+6 find asymbtotes

A: There are 3 types of asymptotes

Q: Compute: 1+2 dx

A:

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: 3 Estimate dx using right endpoints for n = 3 approximating rectangles. 3 dx is approximately

A: Integration

Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: If for any ?>0x>0, ∫x5lnx dx= x6/36.(Alnx+B)+c then what is the value of A+B ?

A: Given,  ∫x5·ln(x) dx we can integrate this using integration by parts formula. That is, ∫u·v dx =…

Q: Prove the following equation : Cosh(3 x) = 4 cosh³(x) – 3cosh(x)

A:

Q: 4. Evaluate (x² – 4x+ 7) dæ by hand.

A: The function f(x) is a rule that associates or fixes a number to the particular point x. The…

Q: Find p, q if f," f(x) dx – f" f(x) dx = [i s(x) dx. (Give your answers as whole or exact numbers.) p…

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Q: Find ∫sec2 (5x + 1). 5 dx.

A: we have to find the value of the given indefinite integral. ∫sec25x+1·5dx

Q: What formula would be used to calculate the right rectangle approximation of (2x + 2)dx using five…

A: Given : f(x) = 2x +2 a = 0  b = 2  n = 5 ( five subinterval)

Q: Use linear approximation to estimate 3√27.05. (round answer to 5 decimal places)

A:

Q: Find dy/dx for the Following!- secx 13x Cot 5x (2In 9x)

A: Find dydx of the following:y=lnx4secxtan-1e3x6cot5xe2ln9x

Q: 8. 2 – 0.5x² ) dx 3 16/2 – 0.5x² – 4x² /2 – 0.5x? V - - -

A: We have given expression as ∫-22(162-0.5x2-4x22-0.5x2-832-0.5x2)dxit can be simplified…

Q: 2 .  Approximate  6 4 1 ln(x)  dx  using the midpoint rule with four subdivisions to four decimal…

A: Given :∫461lnxdxn=4

Q: Estimate I I≈ 27 - L² (3x 0 (3x - 1a²)da using midpoints and n = 3 subintervals.

A: In this question, we will find the integral by using mid-point method.

Q: What is the value of 1 a x2 evaluated between 2 and 5 if the constant a=4?

A:

Q: In x dx = n a, (a>0) 2a 23. Show that

A: Definite integration is the area of a region that is enclosed by the integrand. The function must be…

Q: Find ∫ √(3 − 5x) /2x   dx.

A: Consider the given integral, ∫3-5x2xdx substitute 3-5x=u ⇒ dx=-23-5x5 ∫3-5x2xdx=2∫u2u2-3du now,…