ze az Ql:- Find the and , if Z = x* sin x y3. Q2:- Find fp, fe , fo if f(p,8,$) = p² cos ¤ sin 0. Q3:- Find fr fy if f(x,y) = əx ду 2y %3D

Q: (글콜) (콜을) (0,1) (플플) (물) 120 3 60 135" 4. 45 5m 150 6 30'금 (-1,0) (1,0) OF0 180, 210 11a 330. 6 7m…

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Q: 1. Jcsc' xcos.xdx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If /n= ( 5x + 9 )" sinx dx , Then I,+25n(n-1) In-2=. Select one: O - ( 5x + 9 )" cosx + 5n ( 5x + 9…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Find y^" when y=sin(ax)*cos(bx),a,b any real numbers. Find y" when y = sin(ax) · cos(bx), when a, b…

A: The given function is: y=sin(ax)cos(bx) So, y'=sin(ax)ddx(cos bx)+cos(bx)ddx(sin(ax))…

Q: if Sec X = 2 then tanx +Cos X =

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Q: Flnd * |(sin 5x cos 3x + cos 5x sin 3x) dx cos 8x cos 3x + 3 cos5x – + c 8 + c Option 3 Option 2 cos…

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Q: Solve: facosz please Cos x da (show Steps!) X COS X

A: Our Aim is to integrate ∫x cos (x) dx-(i)

Q: Evaluate V(4r + 12)– 6 lim Зх- 18

A: "Since, you have asked multiple question, we will solve the first questionfor you. If you want any…

Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

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Q: 5 cos? (- x), then f' ) %3D is

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Q: 15(- + 16.5 2 = 15 cos 15 + 16.5 = 15 cos y = y = |

A: The first function is: y=15cosπ15t-π2+16.5 Second function is: y=15cosπ15t-152+16.5

Q: cscx−sinx cos²x CSC X =

A: We need to prove that cscx-sinxcscx=cos2x

Q: Lim メートo Cos aX Cos bX

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Q: dx Evaluate V- x² – 4x – 1

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Q: Find f'(z) if f(z) = 8 cos(z) + 9 sin(z). Answer

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Q: az then x ax az If z = tan tan-1 +y ду

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Q: 8. Solve the following equation for all x: cos 2x + sin x = 0 (no decimals)

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Q: If 4 f(x) = %3D 1+ sin x then 4 cos x f'(x) = (1 + sin x)²

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Q: 2. Show that cot x cos* x +C 4 cscx csc x | cot? x csc*x dx = - 6. 4 6.

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Q: :: Evaluate: S sin 2x sin x dx 1/3 sin'x + c 1/3 sin'x +c 2/3 sin'x + c d. 2/3 sin'x +c a. с. b.

A: Given: ∫sin(2x)sin(x)dxWe know that sin(2x) =2sin(x)cos(x)Then…

Q: Find : y``+ 2y` + y = cos²x turn to 1-cos2x/2

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Q: Evaluate: Lim (2-x) tan X-1 A. e2x 2 B. ez C. 0 D.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.