y fG) = 16 %3D (0.25e-0.5(y-4) b. i) Find Pr(3

Q: Find (22 + 1)Va dr.

A:

Q: 4. Determine P(X = 6) when X~b(10.0.4) using the formula: %3D P(X =r) = (") p" · (1 – p)"-r %3D %3D

A:

Q: A AB = 3cm BD =acm Bc = 7cm 10. =

A:

Q: C=3/7 (bw+x) for w

A: The given algebraic equation is,

Q: Determine the following: L  7/2e2x dx

A:

Q: ydx – xdy = (x² – y²)

A: Note: It is assumed that the differential equation is ydx-xdy=x2-y212dx.   It is known that: ∫dxx=ln…

Q: Find x correct to three decimal places where: alog10(x)=b  where a = 6.8 and b = 12.3

A:

Q: e > N= 10

A:

Q: The area to the left of Z= -0.76 is?

A:

Q: Find dy for y = (8x + 1)2. dy = (Simplify your answer.) %3D

A:

Q: R V In ORSTV, VT RS = 4(x 3x 1, TS 2х + 1, and %3D 2). Find the value of x.

A: Parallelogram: In a parallelogram opposite sides are equal. In parallelogram RSTV , VT=3x-1, TS=2x+1…

Q: Evaluate: 9 x° e- dx = 3

A: Applying product rule, ∫9x3e-xdx=9x3∫e-xdx+∫d(9x3)dx∫e-xdx dx

Q: Use T7(x; 2) to approximate In (0.9). Round to 4 decimal places.

A: The given function is fx=ln3-x.   The Taylor polynomial of degree 2 for a function fx at  point x=a…

Q: (Зx) 2 dx x2

A: Given: ∫J23xx2dx

Q: 13 dx (1+5x)

A:

Q: dx = ? 3/2 (9x² –1)*

A:

Q: Find dx e+5 For the toolbar, oress AL TaE10 (0g

A:

Q: Evaluate: 75

A: The given sum ∑i=5175-15-2i52

Q: gA y = 2sgn(x+2) san • %3D

A:

Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: Eval the Pt: dx

A:

Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33

Q: 3 dx o v9 – x²

A: We know that,  ∫dxa2-x2=sin-1xa+C ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying…

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: 1 :dx J xV16ln² x – 9

A:

Q: y%3D

A:

Q: Find y = -7x' dy dx S

A:

Q: y varies jointly as x and z. y = 84 when x = 7 and z = 3. Find y when x =4 and z = 6. y = Get more…

A:

Q: Evaluate ſ²¹₁ (y +1) (y² + 2y)³ dy. Give your answer correct to 2 decimal places.

A: The given equation is, We have to solve this definite integral to get an answer in 2 decimal…

Q: .2 x² arctan(3x) dx %3D

A:

Q: d'y where y = dr4 3 Exercises (20.3): Find %3D

A:

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.