Given f(x)= Vx– 5;x+5 and g(x)=x +3. Find the domain of (gof)(x)? | All real numbers greater than 5. All positive real numbers O All real numbers except 5. O All real numbers.

Q: lim In(2x – 4)

A:

Q: Consider RxR to be a universal set with subsets A, B, and C defined as follows. A = {(x,y)\x² +y° <1...

A:

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 20 F(s) s2 + 16 Your answer shou...

A:

Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

A:

Q: a) Enter a definite integral that gives the volume of the solid when the region above is revolved ab...

A:

Q: P = (A, 0, 0) Р. 3 (0, В, 0) P3 = (0,0, C) a) Find the equation of the plane formed by the three poi...

A: Introduction: A plane is a three dimensional figure represented by ax+by+cz=d                i Here,...

Q: Evaluate -(p v q) ^ (r v ~q) using the table below: T. T. T T

A:

Q: Determine the wronskian and evaluate for which values a, b, c ∈ R the following equations is indepen...

A:

Q: An example of a partition of the integers is E Z}

A: Set of integers is defined as {... -3, -2, -1, 0, 1, 2, 3,....}. A partition of a set is defined as ...

Q: A cypress beam found in the tomb of Sneferu in Egypt contained 55% of the radioactive carbon-14 (C-1...

A:

Q: Find the Laplace transform of the following function. That is, determine coefficient A f (t) = 6e-5t...

A:

Q: xy' = y elwy) – x

A:

Q: 94 T (9x-25)

A: The angle subtended by an arc at the circle's center is twice the angle formed by the arc at any oth...

Q: A= 1 B = 1 C = 5 f (x) = cos (Tx) for -1/2 < x < 1/2. Let the function be defined by (a) Sketch f (x...

A:

Q: 6. Solve the travelling salesman problem for the weighted graph below. 4 3/3 B E 8 9, 3 7 2 3 12 4

A:

Q: 4x3 +5x? – 20x+3 x +3

A:

Q: Assume f: R2 -> R is continious. Argue that the eqations y'(x) = f(x,y(x)) and y= y(x0) + ∫xx_0 f( s...

A: Introduction: When an equation contains an integral sign, it is an integral equation. A differential...

Q: y" – 2y' + 2y = e¯'; y(0) = 0, y' (0) = 5 Chapter 6, Section 6.2, Go Tutorial Problem 6 Find Y(s). °...

A:

Q: Determine the wronskian and evaluate for which values a, b, c ∈ R the following equations is indepen...

A:

Q: Perform the necessary operations to solve the following. Given z1 = 2 + 4i Z2 = 5e21 Z3 = 4 cis 40° ...

A:

Q: (a) Let D = , and an, an-1,..., a1, ao E R. Is anx" D" + an-1x"-1Dn-1+ ... + a1xD+ ao a linear opera...

A:

Q: 3) Find three different sequences beginning with the terms 3, 5, 7 whose terms are generated by a si...

A:

Q: log,(x + 7) – log,(x + 1) →5 m

A:

Q: . Use Definition 17.1.2 to find a complex number z satisfying the given equation. Definition 17.1.2 ...

A:

Q: siny dx + (x - sin? y)dy=0

A: Here, we will differentiate  siny dx+x-sin2ydy=0....(1)

Q: DIFFERENTIAL EQUATION dy ex-y dx

A:

Q: maximise 2.01 + *2 subject to T1 – X2 < 1, 2x1- x2 1, 2x1 + 2x2 2 4, X1, X2 20

A:

Q: A tank contains 5001 of a solution consisting of 30 kg of salt dissolved in water. Pure water umped ...

A:

Q: Similarity Ratio Ratio of Surface Areas Ratio of Volumes 4:3 (Simplify your answers.)

A: Ratio of surface areas = 42:32=16:9 Ration of volumes = 43:33=64:27

Q: 3 -1 0 If 2 is one of the eigen vector ofa matrix A =-1 2 -1 and %3D -1 3 A3x3 has three distinct ei...

A:

Q: ) Let (x, y) €Rx R. Consider the following functions from R2 to R? r(x, y)) = (-y,x) and s(x, y) = (...

A: Since you have asked for multiple parts, solving a) and b) , kindly post the remaining as a separate...

Q: The volumes of two similar figures are given. The surface area of the larger figure is given. Find t...

A: Scale =volume of larger figurevolume of smaller figure3=262513443=13.7911.03=1.25Surface area of sma...

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the expon...

Q: Find the Laplace transform of the given function: 0, - 10t + 50, t > 5 t 0

A:

Q: Let fn be a sequence of functions that are uniformly continuous on a set S. Suppose that (fn) conver...

A:

Q: lim sin x 25 6 x -

A:

Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)...

A: For a linear equation of the form: y=ax+b, the variables are x, y and the constants are a, b. The va...

Q: Evaluate the integral : S 8x2+10x-6 (x-1)(x+1)z dx (2—1)(ӕ+1)? +C

A:

Q: Points P, Q and R have coordinates (6, 3, 3), (10, -8, 15) and (18, 15, 22) respectively. (a) Find t...

A:

Q: Complete the p+ (r- q) F (~b+ c) → (av ~ c) a C -bc av- c F

A:

Q: 3. Find all ordered pairs in the relation R from A = (a,b) E R if and only if a + b = 9. {0,2,4,7} t...

A:

Q: What is the population of the bacteria after 20 days if 300 mg of the chemical is added? Enter your ...

A:

Q: A 15 meters ladder is resting against the wall. The bottom is initially 10 meters away from the wall...

A: Let the length of the wall be y meters.  Let x be the distance between ladder and the wall at any t...

Q: Given cost and price (demand) functions C(q) =110q + 40,600 and p(q) = - 2.1q+ 900, what profit can ...

A: The price for which an article is bought is called its cost price. The price at which an article is ...

Q: ind the general solution: 9y''(x)  + 12y'(x) + 32y(x) = x +ex

A: We are given non homogeneous linear differential equation first we will form the general solution us...

Q: 4. Prove that the next relation is equivalence relation on the set of all people: {(x, y)|x and y ar...

A:

Q: Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) with h = 0.25. Use backward, forwar...

A: Given that fx=x3−2x+4 To use backward, forward, and central difference methods to approximate first ...

Q: Perform the following division (use synthetic or long division) 2x4 - x3 + 2x2 + x - 5 X + 1 The quo...

A:

Q: DIFFERENTIAL EQUATION dy/dx=xe^y

A:

Q: use the PRODUCT RULE when the function that we need to differentiate is actually two functions multi...

A: In this question, the concept of derivatives is applied. Derivative We can use a derivative to figur...