Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0 if t = 0.

Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

A:

Q: The domain of the function f defined by e5x+3y+9xy5 f(x, y)= √130-5x²-5y² is equal to: In D = {(x,…

A: We are given the function all for two variable for which we need to verify if the given set is…

Q: The domain of the function g(t) = vt – 2 is O R-{2} O [2, 00) O R о (-о, — 2) n (? m)

A:

Q: Show that 1/2 is an eventually fixed point for

A: T22 or T12 That can be proved as it will have the 12 in the equation, for any fixed point .

Q: Evaluate L{f(t)} for t+1, t20, t1, t#2 t=1 t=2 (a) f(t)=3, -3,

A:

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find µ.

A: Given: X ~ N (μ,4) So, V [X] = 4 V [2X] = E [4 - 7X]

Q: Given а, beR. For which of the following f" (x) does y = f(x) have exactly one point of inflec f"…

A: We will check for the points of inflection.

Q: Given a, b E R. For which of the following f" (x) does y = f(x) have exactly one point of…

A:

Q: Explain Matrix-Valued Functions?

A: A function is a relation from a set A to set B such that each values in the set A maps to exactly…

Q: Suppose that f′​(x)=2x for all x.   ​a) Find ​f(−4​) if ​f(0)=0. ​b) Find ​f(−4​) if f(2​)=1. ​c)…

A: Suppose that f'x=2x for all x. a To find f-4 if f0=0.b To find f-4 if f2=1.c To find f-4 if f-3=10.

Q: Find R2,2(x) for f(x)

A: Given, fx=ln1+xx. We have to find R2,2x for fx. Here, R2,2x is called as Pade approximation. Pade…

Q: Consider f(x) = 3|x|, which is in R[-2, 2]. %3D b. Use the function F(x) to find ſ², f.

A:

Q: 7. Find the Domain of cach of the following functions. a) f(x) =2-V-4 b) f(x) =5x² - x+17

A:

Q: . Show that the function f: R→ R defined as f(x) = 13x − 15 is one-to-one.

A:

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

A:

Q: Which of the following is a true statement? d (10) = 5 (104) da O The equation of the tangent line…

A: (1) ddx(105) = 0         ∵ddx(c) = 0  statement is False(2) The equation of the tangent line to the…

Q: Let f(x) = 4 + √√4x – 8. Find ƒ−¹(x). ƒ−¹(x) = " for x > 4

A: Step 1 : Write f(x) as 'y'.Step 2 : Swap 'x' and 'y'.Step 3 : To solve 'y' .Step 4 : Replace 'y' as…

Q: Suppose f(t)=-H(t)-1²H(t)-3(t-1)H(t-1)+(-3) H(1-3)+(-5)H(1-5) Express f(t) analytically.

A:

Q: Let f(x)=x² + 5x + 1 and (t) = n(t) + et. Use your calculator to evaluate the following valuesounded…

A:

Q: Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions…

A: Given that, z=3x2+y2+3xy-7x-8y+10 Subject to  x-y≤200 2x+y-150≤250

Q: 2. Let f(x) = 3x + 6 € Z7[x]. Find all associates of f(x).

A: The given function is fx=3x+6∈ℤ7x To find: the associates of f(x).

Q: Q. Find the Z trans form of the following functions by using MATLAB. 1. f(k) = (-2)^(k+3) - 8…

A: Ztransform converts a discrete-time signal into a complex frequency-domain representation.

Q: Syppose that Ts Cx) centered at a for f(x) is giver by T5 (x) = 3+5(x-2) +8(x-a)?+a(x-2)+ (x-2)5.…

A:

Q: Calculate M6 for f(x) = √7x on [0,2]

A:

Q: c) L{tU(t – 2)} d) L{sen t H(t – "/2)} e) L-1se- s²+16, e-2s

A: Given: a) Lt ut-2 b) Lsint Ht-π2 c) L-1se-2ss2+16

Q: 1. Let f(x,y)=x²y + √y Find each value a.f(2,1).b.f(3,0).c.f(1,4)

A: We have to find the value of the function for the given points, f(x,y) = x2y + y points : f(2,1)…