Express the following vectors in Cartesian (component) form. a) f has magnitude 20 and direction N40°W b) +y

Q: D. 0 1-7 0 0

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Q: Let A = (1, 2,3,4, 5) and B = (0, 3, 6). Match the given sets on the left to the sets on the right. ...

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Q: et T E L(V,W), and U e L(W, X). Prove that UT : V → X is also linear

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Q: Given the intercepts (0,-15) and (5,0)

A: Given intercepts: (0,-15) (5,0) To determine: Equation of the line passing through the given interce...

Q: 17. -5x+1=0

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

Q: 46 58 4 76 2 8 7 4 3 825 9. 2 57 4 3 3 6 2 8. 86 354

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: Find the present value of an ordinary annnuity whose semiannual deposit is ₱12,000 at 5% compounded ...

A: Given information Periodic payment P=$12,000 Rate of interest r=5% compounded semiannually ⇒r=5100=0...

Q: (A V B) → ~c C VD A →~B •. A → D

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Q: In a basketball league consisting of 10 teams, each team plays each of the other teams exactly three...

A: 2 teams to be played out of 10 teams can be selected as follows:

Q: 19 /(о, -3), Л-1, 1), к(з, -2) to 1-2,-2), Л-з, 2), к (1, -1)

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: The first week of chess club had 3 students. The second week had five students. The third week had e...

A: Given: NUmber of students in first week = 3 Number of students in second week = 5 Number of students...

Q: A class held a quiz bee for their different classes and students were awarded medals in different su...

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Q: Part II: Prove/Disprove the following 2. Let R be the relation on Z, defined as follows: Vm, n e Z, ...

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Q: 4. The data below represents the weights of patient fitted with a holter monitor (in pounds). 120 13...

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Q: Consider the linear system 5x1 X2 + X3 = 2 2а1 + 822 — 2аз 8. x1 - 3x2 + 9x3 = 9 and let x0) be any ...

A: only statement 2 is correct Explanation is given below:

Q: Q4/ Answer the following (choose one) 1) Find F.T for f(t) = (1-5+(1-sin(21) 2) Find I. F.T for F(@)...

A: We will use the basic knowledge of Fourier transform to answer Question (1) because you have asked u...

Q: tanh a lim 0+ sechr - 1

A: Given limit is limx→0+tanhxsechx - 1

Q: 4. Use the encoding formula: y = x + 12 (mod 26). a. Encode CF S. b. Find the decoding formula and d...

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Q: Multiple Choice O (XEZIX<3=[xeZIx#1) O KEZIX<x3=(XEZIX#0) (XEZIX<x=(XEZIX#0^x#1) (XEZIX<=(XEZIX#0v x...

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Q: and volume of the figure below. 60 cm 60 cm 10 cm 10 cm 20 cm 20 cm 7 in 7 in 7 in 40 cm 15 cm

A: To find the area and volume of the given figure.

Q: make a venn diagram illustrating the different subsets of the Real Number System consider the set of...

A: Venn diagram  is a diagrammatic representation of sets.

Q: question forpuzzels

A: The first picture contains the points where two lines intersect, there are 9 such points In the seco...

Q: Lesly went to the Hair Cuttery and got a haircut for $27. She was so happy with her service that she...

A: We want to find the amount of tip Lesly leave.

Q: A man leaving P60,000 to his children and grandchildren seven in all. The children receive 1/3 of in...

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Q: a) Find the first quartile, Q1. b) Find the third quartile, Q3. c) Find the interquartile range.

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Q: The homogeneous equation x1 + 2x2 x3 = 0 defines a null space U in R. Write the above linear system ...

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Q: Consider the inequality -1sn<5 Select the two lists of integer values of n in which all the values s...

A: Given -1≤n&lt;5

Q: Consider the discrete-time dynamical system y+1 = v -3y +3yt. It has three équiibria, ) M*= 1, or y'...

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Q: A. Give the prime factorization of these numbers using the factor tree method. 24 2 124 3 168 4 126 ...

A: 1. Write the prime factorization of 24 using factor tree method.  

Q: a.Iwo cats start out at the scIte point One Car starts oult driving north hours later Hhe second cat...

A: To solve this problem we use the Pythagoras theorem which is as follows Pythagoras Theorem :  For a ...

Q: I. Evaluate the following expression: A. Given x = 2.0 and y = 3.0, what is the output of the follow...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 2.2.8 Show that if a matrix is positive definite then it is invertible, and its inverse is also posi...

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Q: Learning Task 1: Identify whether the following is a prime or a composit number. Write your answer o...

A: prime number - a number is said to be prime if except 1 the only factor is number itself. composite ...

Q: The fourth term in the expansion (2r + y)' is

A:  The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued prod...

Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform met...

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Q: Home Assiqnment 2. ) Solve By using Laplace Tmanstonm -१) (2y +メ= 320S.zx where Y= d y =o at x= 6 5)...

A: Properties of Laplace transforms L-1sF(s)=ddtf(t)+f(0), where f(t)=L-1F(s) L-12a3(s2+a2)2=sinat-atc...

Q: Example 1. Show that the solutions of the following system of differential equations remain bounded ...

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Q: 1. 1 1 3 -1 M = 2 1 1 1 -1 1 Calculate det(M) by using row reduction to a triangular matrix. Explain...

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Q: Let f = 6 where P and Q are two polynomials. Assume that degree of Q is at least 2 larger than that ...

A: The complete solutions are given below  

Q: Evaluate: 4 cos“ 0 d0, correct to 4 significant figures

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Q: The Differentiation to be made must be based on the following topics. - Quotient Rule Give 3 example...

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Q: Q1. Let an = (-1)"an-1+ 2an-2, ao = 1 and a1 = 2. Determine the following terms of the sequence give...

A: (i) The recurrence relation is given as follows: an=-1nan-1+2an-2                ...1

Q: If z1 = 1 – i, Z2 = -2 – 3i and z3 = 2i, then evaluate |3z,2 + 2z2 – 5z3|

A: Given z1=1−i, z2=−2−3i and z3=2i. We have to evaluate 3z12+2z2¯−5z3. Here, z2¯ denotes the conjugate...

Q: Fig.3 Fig.4 Fig.5 vs Fig.6 Fig.7 1. Find the number of vertices and the number of edges of the graph...

A: We will us figure 5 to calculate the number of vertices and number of edges in the given graph.

Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos...

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In th...

Q: Solve the following system of equations by Jacobi and Seidel X+5x,-x; =10 4x,+2x,+X3 = 14 X1+x,+8x; ...

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Q: Evaluate the principal value of sin(3 + j4) O a. none of the above O b. 2.51 - j2.31 O c.2.31 + j2.5...

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Q: 2) Given that: f(0) = 42, f (0) =13, f "(0) = 23 -19< f"(x)<17 (a). Write out the value of P,(f,0)(1...

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Q: Prove the following property about subdifferential, affline transformation. - əf(x) = {Vf(x)} if ƒ i...

A: We will solve both the questions for you and present the solution in detail. We only need the basic ...