What conditions in the figure will NOT prove that a || b? 4. 3 OZ1=23 UmZ1+Z2 180 %3D Z1 Z4 Um24+Z2 = 180 %3D

Q: Evaluate: a) +7sec2 x dx /x 1+x?

A:

Q: ydx + (2x +3y)dy = 0 %3D

A:

Q: if fo=x+1 2g Cx) = X Find:- O Derg 3 D.

A: Given that fx=x+1, gx=x We know that Df=domf denotes the domain of the function f

Q: 2x* + 4) dx -5 6x

A:

Q: - Evaluate Lf²f²8x³yz dr dz dy.

A:

Q: Suppose Cov(X,Y) = 281. What is Cov(0.76X, 0.43Y)?

A: The objective of the question is to find the covariance of the two variables 0.76X and 0.43Y given…

Q: Let D; = {x € R|-sxs}= [-}| for each positive integer i, find U-, Di %3D a. b. Ni- Di

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Q: Ba for what Values of a and bis -2 fEx) %3D ax +b 3. Continues at every x?

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Q: 5x + 6x iii) dr p³ – 3x2

A: Given: ∫x4-5x3+6x2-18x3-3x2dx

Q: e)S 2х-4 dx х3+5х

A:

Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: There does not exist r E Q ə r² = 2

A: the given statement is  r2=2 where r∈Q r=2 where r∈Q. since 2 is irrational , therefore, r is…

Q: Q2: Evaluate the following b) fe-x³ dx

A:

Q: Prob. fcxiy)=ln (pxy)

A: We can apply formula of derivative

Q: 2. Given the figure for RT, find RS and RT. R(2x + 2) S 10 ------- (6x – 16) --------|

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Q: x2 dx Lo (x2+3)²

A:

Q: x3 + 2) dx 2.) S

A:

Q: d 3) Find 6 '+2t – 9)

A: To find:

Q: Find ¹ f₁z²dA where R = {(x, y) | 4x² +9y² < 36} . Round your answer to four decimal places.

A: Given: ∬Rx2dA The region R is given as R=x,y | 4x2+9y2≤36 To find: Solve the given double integral…

Q: cinxo ) 2X. dy dx Find for y= cos ( Inx + e

A: We have to find the derivative.

Q: he

A: Given:- f(x)=32x we have to find f'(1)=?

Q: 4)Evaluate 2 In x 7 x² dx

A: The given integral ∫2∞ln xx7dx. We have to solve this integration.

Q: y = ), Bind X+3 Q4l y= (Sinx) (x²p1) (x +3)3 4 find 5.

A:

Q: Evaluate dx V In(8-x)) at x = 1. = 1.

A: We have to find: ddxln(8-x2)3   at x = 1.

Q: III. What is the image of the line with equation Y = 5X +7 under op, where P = (-3,2).

A: Given y=5x+7

Q: Given the Power Series E A, (x - *)" n = 0 The radius of convergence ( L) is given by the rec A L =…

A:

Q: dy Find Do not simplify. d.r 5sin- (a) y = cosh r Vsec z + In 7

A: Given that: (a)y=5sin-1x-coshxsec4x+ln73(b)4x3+lny=excsch(2-y2)

Q: 1 Evaluate : dx. (1+x)Vx -x X-X

A:

Q: Let A = and xyz = -2. Find det (A-1). -x -x -y % O a O b. Oc O d. 1

A:

Q: Given dr/dt=Cx²- 8x) / (6142) and dyldt = - 12 xy, Salve for: %3D A) xCt) B) yet

A: Given dxdt=x2-8x642 Rewriting the differential equation: dxdt=x2-8x17dxdt=7x2-8xdxx2-8x=7dt

Q: Find the value of k so that the value of (2x – 1) dx is 4. А) з в) 2 D) 5

A:

Q: The following properties are true EXCEPT A. 51 2l = lsl l2 C. 2= D. 1 + 22 = 3T + 32

A: To identify which of the given property of complex number is not true.

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.