Given A (6, - 2) and B (-1,2), enter the equation of the line through point B and perpendicular to AB in slope-intercept form.

Q: The differential equation a" + 2a - 5x = sint is equivalent to the system |a' = 5x – 2y a = y |y = 5...

A: To solve the system of the differential equation Differentiate  one of the equation  Now, simplify ...

Q: Using Excel spreadsheets and the headings of the table below, 1. find an estimate of the root of the...

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

Q: The half-life of a radioactive substance is 8 days. State an exponential function that models the pe...

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Q: Three complex numbers are related as follows: AB = 4 + j3 BC = 2- j5 CA = 3 + j6 Find the value of C...

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Q: t a = (3,3) and b = (4,1) draw and label the vectors a, b, -a and b - a on a set of coordinate axes.

A: Given vectors a=(3, 4) and b=(4, 1)

Q: -1 0 3- i The matrix 1 is classified as L3+ i 0 C. Hermitian A. Orthogonal B. Unitary D. Skew-Hermit...

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Q: 3 Evaluate (2 + vV-9

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Q: State Assessments 31. (Washington State, Grade 4) When Lori tries multiplying with her calculator, s...

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Q: 2. Compute the Laplace transform of the function f(t) whose graph is given in the figures below. (a)...

A: We will use here formula for integration by parts 

Q: find all poisible tofaloğies on

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Q: -21-5 5. L {f(t)} where f(t) = e-s

A: We have to evaluate the Laplace transform of the function ft=e-2t-5. We have to use the properties o...

Q: find an estimate of the root of the equation x°+ 2x - 4 = 0, using bisection method. Perform computa...

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Q: Evaluate cot-(1 – i) C. 0.3329 + 0.6014i D. 0.4287 + 0.2501i A. 0.7189 + 0.1128i B. 0.5536 + 0.4024i

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Q: Q7 Let A = [(p → q) ^ (~p + ~q)]. Construct a truth table for A and determine if it is a tautology, ...

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Q: II. Find the solution of the following system of equations. Enclose all determinant values in a box....

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Q: Use a truth table to determine if the following symbolic form of an argument is valid or invalid. -p...

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Q: Find the general solution of a given non exact DE y(8x-9y)dx+2x(x-3y)dy=D0. (Note: Express your answ...

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Q: The graph of the two equations appears to be parallel. Solve the system of equations algebraically. ...

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Q: Use ONLY the laws of logic and propositional equivalence - (p → q) → ¬9 is a tautology

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Q: Question 1 Calculate: 3four +2fonsr (Express your answer in base 4) O 13four O 11 four O 32 four Que...

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Q: Find the Laplace Transform of the following: (2 3. h(t) = }t t 4

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Q: Simplify the following logical expressions using the laws of algebra of propositions. [(p → q) → q] ...

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Q: Solve one of the roots of 6x^2 - 5x = 6 - 5i. Express your answer in rectangular form in 4 decimal p...

A: We have to use quadratic formula  Roots of  ax2+bx+c=0                x=-b±b2-4ac2a Also we have to ...

Q: Solve. 6.) A plane flies 403 miles from Springfield to Rochelle with a bearing of N22 E. Then it fli...

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Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B. 1....

A: To find the nth root of a complex number we have to use de'Moivre's formula : z1n=z1ncosθ+2kπn+isinθ...

Q: p(1) 3. Let T : P3 → R³ be defined by T (p(x)) = p(2) p(3) Show that T is a linear transfor- mation,...

A:  First we show that T is a linear transformation. We know that  if U and V are vector spaces over th...

Q: Q3. By using mathematical induction, show that 52n – 1 is divisible by 24, for all positive | intege...

A: We can solve this using induction method

Q: 2ts1 (i) F() = let>1.

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Q: B. Determine if the following mappings are linear transformations. Explain your answer.

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Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 - -600...

A: The following steps are used to find the solution of the system of equations AX=B, where A, X and B ...

Q: There are 1200 freshmen enrolled in a big university. If there are 50 more males than females. How ...

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Q: a) Write an equation for a polynomial function that satisfies the following properties x-intercepts...

A: This is a problem of real-valued function.

Q: (x – 6)" 1. f(x) = %3D 4n n=1

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Q: 9. Evaluate the line integral of F = (2xy + 1,x² + 2yz, y? – 2) over the region C parametrized by R(...

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Q: Matrix C has a determinant of k and matrix D has a determinant of m. C and D are both 3 x 3 matrices...

A: Multipart:   We have , C  and  D are both 3 × 3 matrices. Also , detC = k  and detD = m. We need to ...

Q: Solve by Mathematical Incluction that all n2l.

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Q: Maximize f(x, y) = / 18 – x2 - y2, x + y – 2 = 0. %3D

A: We will use the Lagrange Multiplier to maximize f(x,y)=18-x2-y2.........(1)x+y-2=0    ........(2)

Q: -41 Find the adjoint matrix of ": A. -2 C. 4 21 -2 В. 4 B.) [2 4 D. 01 -1

A: Given matrix is 1-402

Q: Which glass will be filled first? 6

A: We have to find which glass filled first.

Q: Find a particular solution to the differential equation y" + 6y' + 9y = -243. Yp =

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Q: 3. Suppose that r(t) < s(t) on [1, ), and r(t) is continuous and strictly decreasing on [1, 0). If S...

A: Given rt&lt;st on [1,∞), and rt is continuous and strictly decreasing on [1,∞). Given ∫1∞stdt is con...

Q: If (G,X) be the group of all real 2 x 2 matrices (“ ") such that ad - be + 0 with matrix multiplicat...

A: First we have to show that f:G→G' is homomorphism or not. To show homomorphism, we have to show fAB=...

Q: In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or...

A: We will use the recurrence relation to find the number of ways in which an elf can climb 15 stairs.

Q: Marcia needs to cover a section of her bathroom cabinet with shelf paper. The bottom of the cabinet ...

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Q: Given an undirected graph as follows. (a) Determine whether the graph has an Euler path by stating t...

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Q: 8х Find a power series for f(x) : |x| an. %D (x² + 1)² n=1 Hint: First, find the power series for g...

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Q: Prove: “A graph G is a tree if and only if every two vertices of G are connected by a unique path." ...

A: Let G is the tree. If part: We have to prove, "if G is tree then every two vertices of G connected b...

Q: 3 Evaluate (2 + V-9)". A. 46 + 9i C. -46 + 9i B. -478 – 621i D. 8 + 27i

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Q: Question 3. Let b 0 1 0 0 1 a H = c) : a, b, c e Q 1 under matrix multiplication. Notice that H is a...

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Q: Given below is a matrix A and an echelon form of A. Find bases for Col A and Nul A, and then state t...

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