Directions: Read and understand the given question or statement carefully and choose the letter of the correct answer. D. Evaluation 1. Which of the following illustrates the movements of domain and range.. the circular function in cosine and sine? C. (-2 39) A. 1.5 20 314) 10 0.5 (2, 7 -2 10 -0.5 20 -30 -1 40 -1.5 (5 -42) D. y= sin() yt 3- 05 05 -1 -2n -3n/2 1 360 -270 -180 4/2 0 /2 3n/2 2 90 180 270 B.

Q: Q2/ Find analytic function f(z) o+iv,where o=-3 tan ()+e".

A: The analytic function f(z)

Q: A ball is thrown from the top of a building and falls to the ground below. Its path can be modelled ...

A: (a) Given that, the function is H=-4t2+8t+32. Substitute t=0 in H=-4t2+8t+32 to find the height of t...

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A: Given the velocity components u=x-4yv=-y+4x The velocity potential exists if the flow is irrotationa...

Q: 14) You will likely want to have a calculator handy for this question.a) Create several three-digit ...

A: a Let, number be 321so, 321-123=198                        =2×99Let another number be 794so 794-497=...

Q: Exercise 1 Determine the Laplace transforms of the following functions. (a) 3e-4t - 5e4t (b) sin 4t ...

A:

Q: For each of followuing equations. is it PDE? IS it linear or nonlinegr ? What is their orden ODE OY ...

A:

Q: Find the two square roots of 8 - 2j.

A: Let a+jb=8-2ja+jb2=8-2j2a2-b2+2abj=8-2j∴a2-b2=8         .......12ab=-2               We know that a2...

Q: exercise 16.M Please prove EVERYTHING, (if they affirm something, please prove it even if it seems e...

A: Given, f is continuous function on ℝ. Suppose fx1=fx2 if, x1<x2. And similarly if x1>x2 then f...

Q: H.W. No. 3 (multiple integration Q1: set up (but don't evaluate) an iterated triple integral for the...

A:

Q: How many different functions are there from a set with 10 elements to sets with 5 elements?

A:

Q: OProve that (r=s)Er S is toutology?

A: The objective is to prove that r≡S≡r↔S is a tautology.

Q: Given x2 + y? + z? = sin (yz) %3D find dz/dx

A:                                     x2+y2+z2=sin(yz)..................(1) Differentiating both sides...

Q: *********** Question is attached: ***************************--

A:

Q: Create modulo 11 addition and multiplication tables

A: Addition table for modulo 11. ⊕11 0 1 2 3 4 5 6 7 8 9 10 0 0 1 2 3 4 5 6 7 8 9 10 1 1 2 3 4 5...

Q: A 200-g mass stretches a spring 5 cm. Find the equation of motion of the mass if it is released from...

A: To find - A 200-g stretches a spring 5 cm . Find the equation of motion of the mass if it is release...

Q: O simplify as a+bi : (2i-13. * 2-i

A: Since you have not mentioned the question number. I am allowed to do only one question . To convert ...

Q: *i is linear. You do not The function T: R? → R? which reflects the vector x across the line r2 need...

A: The matrix representation A of the linear transformation T across the line y = mx with respect to th...

Q: image

A: Let C be the compact set.If possible suppose that 'C' has a infinitely many isolated points. say x1,...

Q: Q4: Solve the following systems of linear equations by Gaussian elimination method: 0.729x1 + 0.81x2...

A: The given three equation can be solved by taking the equation in matrix form. Take the values of x, ...

Q: Read and try to solve the problem below. A scuba diver dives to 180 feet below sea level. The linear...

A:

Q: The function f : Z×Z → Z×Z defined by the formula f (m, n) = (5m+4n,4m+3n)is bijective. Find its inv...

A: The function f : Z×Z → Z×Z is defined by the formula                     f(m, n) = (5m+4n, 4m+3n) is...

Q: H.w. Fourier series for Ex1 fex) = ーnくxくo アーメ 0くxくn

A: Since the solution is lengthy we solve only the first problem.  If you want the solution to the seco...

Q: 4)x(t)=1(t+4T)

A: Note: The Z-transform of Z1=zz-1, and Zt=zz-12

Q: Answer with true or false and correct the false ? 2 The signa! e- If f(t+ T/2) = f(t) only odd harmo...

A: As only given (e) part to answer, so providing the answer for the same.   e- False

Q: Given f(x) = 2x + 1 and g (x) =x²+ 2x – 1, find (f + g) (x. Giren f() = 2x + nd g(1) = x'+ 2x-1, fnd...

A: See the attachment

Q: For what values of p does the series  ∞   to n = 2   1 (np ln(n))  converge? (En...

A: Convergence of the seriese

Q: 2) Prove that: a) dx' dx- b) F) = dF %3D Ldx dx c) [x,p²]= 2h?d/dx

A: To prove- ddx, d2dx2= 0 The mathematical definition of commutators is, A, B= AB-BA Given, L.H.S. ddx...

Q: The following linear system is in echelon form. Solve the linear system by back substitution. X1 + X...

A: Solution:  

Q: Let P = {1, 2} and Q = {1, 2, 3}. List all the elements in the set (P × Q) ∩ (Q × P)

A: Solution:   

Q: Let G be a group and let p:G G be the map o(x) = x. (a) Prove that o is bijective. (b) Prove that o ...

A: A mapping f(x) is bijective if and only if f is one-one and onto. A mapping    Is called a homomorph...

Q: Determine the x- and y-coordinates of the centroid of the trapezoidal area. a

A: Let the centroid point is (x1,y1). Given figure is divided in two parts rectangle and triangle havin...

Q: If U, V are ideals of a ring R, let U + V = {u+ v:u E U,v E V}. Prove that U +V is also an ideal.

A: We have to prove the conditions of ideal

Q: 1. Prove that, if F is Borel field in 2, then (i) ø E F (ii) whenever A,,A2, ... E F, then also N1 A...

A: Definition of Borel field: Let Ω be a space. Let ℱ be a collection of subsets of Ω. Then ℱ is said t...

Q: Q1/ The table given below reveals the velocity V of a body during the specified time t. Find the acc...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Exercises 2 Let f(a) be a function of period 27 such that { T - a, 0<r < T 0, f(r) = T< r < 27 a) Sk...

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Q: Does there exist an example? Either give an explicit example or show that none exists! a) A sequence...

A:

Q: Linear equations

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Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) V'(t) (L/min) | 1...

A: Given, t=1 to t=13 and n=6 ∆t=13-16=2  

Q: if x+x = 12 then 2x = 12

A: Addition property of variables:  Since, addition of 2 equal numbers is equal to the twice of a numbe...

Q: N2=44

A: Consider the provided question, A complete Tayler polynomial for the function and center around x=a ...

Q: Exercises 4 Let f(x) be a function of period 27 such that f (x) = a over the interval - T <a <n. a) ...

A:  

Q: QI Let A = 2 233 4 475 %3D (4) Find all salutions to Ax=0. Put your answer in Vector Parametric form...

A: a) Given system is homogenous linear system of equation x+y+z+2w=02x+2y+3z+3w=04x+4y+7z+5w=0 Writing...

Q: 8. (a) Using the following table of values for the function f(r, y), determine whether each partial ...

A: Step:-1 As we know fx =limh→0 fx+h, y -fx, yhfy =limk→0 fx, y+k -fx, ykfxx =limh→0 f x+2h, y -2 fx+h...

Q: 1) Draw the graph for the function Y = x³ and then find (D7) & (R). %3D

A: The graph of the function and domain and codomain.

Q: Solve the following linear programming problem

A: Given that, the objective function is CMin=8x+3y subject to the constraints is, x+y≥10,2x+y≥15,x≥3,y...

Q: linear Algebra

A: Invertible matrices, An n×n matrix A is invertible if there exists an n×n matrix B such that AB=BA=I...

Q: 10. Myles went to the store, which is miles away. When he was halfway back, he caught the bus. If he...

A: A statement in common language can be written as mathematical expressions. The statements describing...

Q: The temperature of a solid is given by the function B(x, y,2) =x*y: +4x, where x, y, z are space coo...

A: Given temperature function Bx,y,z=xy+4x, given point P1,-2,1, and the direction a=2i-2j+k. Therefore...

Q: Find L{f(t)} directly from the definition of the Laplace transform if f(t) = 2t. %3D

A:

Q: A table that originally sold for $450 was marked down 25% . During the sale it was scratched and had...

A: Original selling price = $450 It is marked down by 25% Hence the original selling price was reduced ...

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.