The optimal step size h for the following difference formula fo-3f-1+3f_2-f_3 3hf (c) is f" (x0) = %3D Select one: a. 16€ 1/4. M4 Ob. 48€)1/3. M4 Oc. 24c 1/4 M4 Od. 16e1/3

Q: If m/1 68 and m/2 = 47 then mZ3 %3D %3D 3. 2.

A: We have to find the value of angle 3 from the given diagram.

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: / Determine the length of y = (8x + 3)2 from (11)/2 s y s (27)/2?

A:

Q: 2.) Solve the following equatior

A: Solve the following equation23(x-4)=14(x+1)x=?

Q: 3. Which set of ordered pairs is not a function? a. {(1,0), (3, 2), (5,4), (4,7)} b. {(1,2), (2,7),…

A:

Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: This is problem of optimization and application of differential calculus.

Q: XI VGo-2IX =8 60-21X

A: Given,          x-60-21x=8

Q: 2(5x – 1) + 2 = 2x – 4(x – 1) - -

A: Use BODMAS rule, BODMAS rule says that first solve Brackets then solve Order (powers) then calculate…

Q: 1. (0* + 4)y = +an 2x

A:

Q: (Phase Plane sketch)a) Sketch (by hand) the vector field for the following systems. Indicate the…

A: Given system is  dxdt=xdydt=x+y The phase plane diagram is shown below. The direction of the vector…

Q: 8х — бу — 36 %3D -2х + бу3D0

A: intersection point of two lines

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

A:

Q: 8/2

A: We can redraw the figure again.

Q: Hp()=D3x -4 and ryr) =2x=5x+1, fincl each Vaule. %3D

A:

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: If 9x/4y = 1 and y = 18 , what is the value of x?

A: Simplify the equation and put value of y we get the x,

Q: y = 2X-23 Y(o) =| -o い 0.3 sis o3 1る。

A:

Q: - Solve for x: x² - 3ax = 4

A:

Q: Q2/ Find the value X when 1| 4 1 1l 1 -3

A: Solve determinant

Q: 3.) Solve F = 2C+ 32 for C %3D

A: Given :F=95C+32

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: 5.) Find the value of r that makes the following equation true = 4. Use a model to justify you - 10…

A:

Q: 4. 2(x + 4) = - 4 5. -3( x + 4) = 15 6. 4(2х + 3) + х%3D69 7. 2x + 3x + 6 = 31

A:

Q: 3. 2(x + 3) = 8

A:

Q: y" + 7y = 10e2t

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.