Q. : Find the radius of- Co nvergence and the interval of Co nvergen ce (x - 2 )" In cn+4) & W

Q: (d) cos(z) sin(z)

A:

Q: How 3 Find the absalute maxine and minima for the funCtion (4x-x) Cosy an the rectangular plate…

A: We have to find the absolute maximum and minimum.

Q: tan (3r) dr = a tan(3x) – In(v1 + 9x²) +C 3 a tan (3x) + In(v1+9r²) 3. e tan '(3x) In(v1 - 9x² +C a…

A: We know that, from basic integral formula ∫tan-1x=xtan-1x-12log1+x2+C          ⋯⋯1 We have, the…

Q: 3- If √secx + 5cosx find y

A:

Q: + tan dy 37 Ify = tan -1 -1 1 2 x +5x+7 1 2 1 2 1 2 x² + x + 1 +... to n term.

A:

Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

A:

Q: LetX∼N(7,4). (a)  Find P(6 < X ≤ 10). (b) Find ξ so that P(6 < X < ξ) = 0.1716.

A: The following information has been given: A random variable X follows normal distribution with mean…

Q: 2) Consider the function f(x) = -x + sin(-x) on the interval [0,1]. a) Approximate a root of f using…

A: Given function is              rewrite the above equation as               compare this with…

Q: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

A:

Q: Dw many critical points does the fu

A:

Q: None

A: Given, a)   f(x)=(x-2)2  b)   f(x)=(x-1)(x+1)

Q: Show that sin(x)  can be approximated by x-x3/6  within 0.01 on the interval [-1,1].

A:

Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

A:

Q: If = {(x, y) | 16 ≤ x² + y² ≤ 49} then: 11.000 = [ co cos (x² + y²) dA

A:

Q: Evaluate sin 2x sec*x dx Select one: 8 In| cos x |- 4 sin?x+c - 8 In| cos x |+ 4 sin?x+c 8 In| sec x…

A:

Q: (2– sec?x) eIn (ale) sec3x Surau? What should be the value of A for dr to be integrable using the…

A: Option D is the correct.

Q: Find y for y=tan-(e*+ /x +1) O None of the other answers 1 ex + 2/x y = V1-(e"+Jã+1)* 1 ex + 2/x…

A: I have stated the used formulas in the solution

Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

A:

Q: 1. (Bx2 |x- 61-8 for x> 2 (a) For what value of Bis the function f(x) = }", for x 2 continuous atx=…

A:

Q: 419 *Ocosec™* 6d8 is equal to

A: Given integral is ∫sec4/9θ cosec14/9θ dθ

Q: What is the domain of r(t) = e'i + tij+ cos(t + 8)k? (Use symbolic notation and fractions where…

A: We have to find the domain of the given function r(t).

Q: -1(x)dx st°tan 2 X¯ + 1 –1 X¯tan X 2

A:

Q: Evaluate ex sin x dx. A - ex (cos x + sin x) + C В e* (cos x + sin x) + C C) -ex (sin x - cos x) + C…

A: We will find out the required solution.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.