Select all the correct descriptions of the relationship between DE and FG

Q: Find the function values in Exercise

A: Given                   cos2(3π8)      we have  convert radians to a degree by multiplying 180π…

Q: 1-Cosh

A:

Q: Determine the value at x =

A: Given,              y'=e-y2x-5, x=2.4and initial value of y(0)=2.

Q: Differentiate the followings. (x+ (i) y =

A: If given an expression of a function which is a multiplication of two separate functions. In order…

Q: Calculate x in degrees.

A: Given angle is 90° so

Q: Let f(x)=csc x, Find f'(pi/2)

A:

Q: y=t In(\F)

A: We need to evaluate the derivative of the following function  y = t lnt

Q: In e* y = e

A:

Q: Find the principal value. Evaluate cot(-3+j).

A: From the given Formulae cot(-3+j)=cos-3+jsin-3+j ....... (1)

Q: State the atio of each of the 1 basic trig functions in relation toa for the triangle in the feure…

A: Let's find.

Q: tan(}r) da

A:

Q: Use the Product Rule twice to find a formula for (fg)" in terms of f and g and their first and…

A: Product rule in derivative:  [A(x).B(x)]' = A(x).B'(x) + A'(x).B(x)

Q: G(r) = Vr + Vr

A: We have to find derivative

Q: Find the exact value of the function: arcsin(1) O HR

A:

Q: Fna the principal vaiие ој of

A:

Q: cos(pt +a).cos (pt+ B ).

A: Apply product formula

Q: Find the value of the trig function indicated. 3) tan 0 7 23

A:

Q: Iculate the autocorrelation of x, = ej™n/2 + ej™n/3_ ||

A:

Q: 3) -24 e 7)子, sinst?

A: We need to solve given problem:

Q: y = cosº (4x)

A: Given: y=cos94x As we know that: The Power Rule: ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x

Q: Find the first and second derivative of the function. G(r) = Vr + Vr G'(r) = G"(r)

A:

Q: Find the first and second derivative of the function. G(r) = Vr + Vr G'(r) G"(r) II II

A: For this problem, we will use the following result: ddxxn=nxn-1     for all real n.

Q: Find

A:

Q: What is X and what is PS?

A:

Q: What is the relationship of alpha when OA moves to OB

A:

Q: Find the value of x in each case. В E &r x =

A: Topic - lines and angles

Q: Show that e* dx e

A: To Prove,∫1∞e-xdx = 1eConsidering LHS, let LHS be y - y = ∫1∞e-xdx…

Q: find E(X)

A:

Q: e when x ≥ 0.)

A: Given as,  Xi follow exponential with mean λ.

Q: Set e кад dx

A: To solve the following problem

Q: Find the rank of thi following maki ces cy reducting it to normal Form 3 1- A = 2. -L -2 -4 3. 3 -2

A:

Q: Evaluate f"(e) when e = 0 given f (e) = 2 sec 30

A: Given that: f(θ)=2sec3θ

Q: Drive by definition: y = cosx

A: Find derivative of cosx using definition of derivative

Q: The derivative of the function In In(coth a? – 1) is

A: follow next step

Q: Le x and y are relate

A: Given that, △y△x=2 and y = 4 when x = 3 Then we get, dydx=2⇒dy=2dx⇒∫dy=2∫dx+C⇒y=2x+C where C is the…

Q: tan zdr

A:

Q: Find the exact value of c.

A: By angle sum property of triangle; Third Angle = 180 - 90 - 45 = 45. Since now two angles are equal…

Q: Evaluate J sec3x cosecx dx

A:

Q: Calculate, correct to two decimal places, the value of y when x = 1.

A:

Q: Find E[X].

A:

Q: if 0 <x < 100 18. If f(x) = { 100 %3D otherwise Find and plot the CDF for this PDF.

A:

Q: Find the z value that corresponds to the given

A: Given, The Z - value is calculated as follows: p(Z &gt; z) = 0.0259  1 - p(Z &lt; z) = 0.0259  p(Z…

Q: (a) Use S(f) to estimate |sin e" dr.

A:

Q: What is the value of z?

A:

Q: Show that E[Var(Y |X)] ≤ Var(Y )

A: Show that E[Var(Y |X)] ≤ Var(Y )

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.