It is known that at a distance of 1.5 metres from the siren, the sound intensity is 4 watts per square metre (Wm). (a) Show that I= [2] (b) Sketch the curve of / on the axes below showing clearly the point (1.5, 4). [2]

Q: 6. Use algebra to determine whether the following function is even, odd or neither. a) f(x)=55x+-x²–...

A: (a) If we put -x in place of x, then we get,        f(-x) = 55(-x)4 - (-x)2 - 78               = 55x...

Q: (a) Find the total length of the intervals removed from [0, 1] after three iterations, i.e. the tota...

A: (A) given interval in the starting I0=0,1 then removed the interval 13,23 that is, length removed at...

Q: COROLLARY 5.5. Let f, g : A → R and let c be a limit point of A. Assume that lim f(x) = L and lim g(...

A:

Q: 16y" + 8y' + y = x +6 3.

A:

Q: Suppose T R-M22 is an isomorphism whose action on a basis for R* is as follows: -6 0 0 1 0. Find the...

A:

Q: Problem 2. Solve the following LP problem using the Simplex Method. Use the smallest- subscript rule...

A:

Q: Find the partial differential equation by eliminate the arbitrary constants a,b,c for ax+by+cz=1

A:

Q: 4. Show, by the use of the truth table (truth matrix), that -(pV(q^(¬p → ¬r)) and ¬pA(q → r) are log...

A:

Q: 5.13 A square matrix is a matrix that has an equal number of rows and columns. In mathematics, m x m...

A:

Q: Let f: ZxZ → Z×Z be defined by the formula f(x, y) = (2x+3y, x+2y). (1) Find the inverse map g = f ^...

A:

Q: atb), a>0, b>0. 2 log (a cos 0+b² sin 6) de=r log %3D

A:

Q: (s-4)3 5.

A:

Q: Fundamental Theorem of Calculus 2. Use the definition to show that f(x) = x² is Darboux Integrable o...

A:

Q: onsider the series (In(2n + 1) - In(2n 1)). n=1 ) Let an = In(2n + 1)- In(2n - 1). Does {a,} converg...

A: We will first see whether given sequence in (a) convereges or diverges.

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 36.2y = x? %...

A:

Q: 2. f(t) = e-at sin w tu(t) 3s+4 6. s2+9

A:

Q: Please answer with explanation. I will really upvote

A:

Q: ¡F () = 42 + z + 5 z-5 dz, where C is the ellipse (x/2)2 + (y/3)² = 1, find the value of (a) F(3-5);...

A:

Q: 2 C, e kt Show that the equation dy 2. + 2k possesses solutions of the form 00 E c, e " cos (a, x+ &...

A:

Q: Can you translate this into words? Please explain the solution in detail because I'm going to make a...

A:

Q: Use Laplace Transform and Theorem Table

A:

Q: Suppose T: R-Mz is an isomorphism whose action on a basis for R* is as follows: -60 0 0 86 2 6 4 Fin...

A:

Q: * A 5 m pole, leaning against a wall s1ips in such a way that its base is vdun moving away from the ...

A:

Q: 3. (a) Let ƒ(x)=| -3. (i) Find the zero of f(x). (ii) What is f(-5)? What point is on the graph of f...

A:

Q: 5. Determine the values of m and n for f(x)=mx³+20x²+ nx- 35 given that (x+ 1) gives a remainder of ...

A:

Q: dy = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). For dx Approximating...

A: Given: dydx=9+y, y(0)=4 and h=0.1. To find: Value of y(0.6).

Q: Problem 3. (a) Determine the cosine of the angles of the triangle whose vertices are A(1, –2, 1), B(...

A: The law of cosines generalizes the Pythagorean formula to all triangles. It says that c2, the square...

Q: Let f be a function defined by f(x) = ln(3 − 2x). What is the maclaurin function expression of the f...

A:

Q: Consider the sequence r - 7 Xi+1 = x; i = 0, 1, 2, ... (1) To what value does this sequence converge...

A: Given: xi+1=xi-xi5-75xi4, i=0, 1, 2, ... To find: (1) To what value does this sequence converge. (2)...

Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and ze...

A:

Q: The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-in...

A:

Q: Find the linear approximation to R(t) = fifth root of t At 1=32. Use the linear approximation to app...

A: Introduction: For a continuous and differentiable function fx, its linear approximation is formulate...

Q: b) The point (-9, -2446) is on the transformed function f(x)=7|}(x, 5)|3– 45 use the transformation ...

A:

Q: Question 2 3x + 3z + 0. -3x 4z + 2y 2x 3z + my Find m such that the following system has nontrivial ...

A:

Q: S*ご -2X Find I= e dx

A:

Q: 15) f(x) = 5x³ + 12x2 – 36x – 16; 2 3 A) -4, 2 5° 1 B) -4, 2 3 C) -4, -1 -4, –1 5 -4, 2 O A Ос O D

A:

Q: For what values of the real parameter a, the system has a unique solution (x, y, z) E R³ x² + y? = z...

A: This is a problem of multivariable calculus.

Q: hio s nose length this phenomenon with the equation ches) is dependent on his lie count s. Geppetto ...

A:

Q: The degree sequence of a graph is the sequence of the degrees of the vertices of the graph in non-in...

A: We have given that , degree sequence ,  4 , 3 , 3 , 2 , 2. We need to find number of edges. We know ...

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

A:

Q: 3+i. You must provide a brief justification of why the solutions satisfy the equation and why there ...

A:

Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

A: We have to prove by induction.

Q: 1 Σ 8n2 – 16n + 6 n=1

A: We will use limit form of comparison test to determine whether given series is convergent or diverge...

Q: y" - 6y' - 7y = e' sint Find Particular solution cnly

A: Note. : - According to guidelines here solution of only firt question .

Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

A:

Q: Market research for a certain ice cream company indicates that if the price per cup of ice cream is ...

A: According to our guidelines we have to answer first three subparts if multiple subparts are posted a...

Q: In(n) n=1

A:

Q: 1/t tan t (i) Lt t

A:

Q: x' +3x +3x+1 Find lim x1 2x +3x² – 1

A:

Q: Is (x + 2) a factor of the polynomial: x^4 + x^3 - 2x^2 + 3x + 7, and what was the remainder? * no, ...

A: Solution