Question 2. Is the matrix P orthogonal, where (V3/2 0 -1/2) | a) P = -1 YES NO o V3/2, 1 :) 2. b) P = 2 YES NO :)

Q: In (T/e) ( (2- sec?x)eme sec³x sec (зА - х) -dx to be integrable using the formula и" du? ? What sho...

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Q: dx Jatx)(xtan-"(x) + 1) -= In(F(x))+C. F(/3) if C=0? For What is F ( (xtan-1(x) + 1)

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Q: Find the Maclaurin Series for Rixjz J

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Q: In Problems 1–22 solve the given differential equation. 15. Зx?у" + 6ху'+у%3D0

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Q: 3. Sketch one cycle of the following trigonometric function: y = -2 sin(3x +90°)

A: Therefore the graph of y=-2sin(3x+90°) will be same as the graph of y=-2cos(3x). It will be easier t...

Q: 1 Let m be a positive integer. State the definition of lim = L (assume the limit n→0 /n2 +1+ Vn² 1 e...

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Q: dx -= In[F(x)]+C. What is F(3) if C= 0? For (x+x³) (x Tan-x+ 1) A 6 в 3 3 D + + -15 -15 C.

A: Given: ∫dx(x+x3)(xtan-1x+1)=lnF(x)+C    ...........(1)We have to find F3 if C=0

Q: Find a basis for kernel of the matrix [-2 0 -410 -32]

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Q: 3) f(t)= (t+1) sin (t+2)= +sinlt+2) + sint +2) ssin(2)+ I. Cone) s sin(2) +1- COnd +1) - sina - (1si...

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Q: Ji(3x-s) dr? Which of the following integrals is equal to the integral 7/3 O 1 5 2 dz -2 713 dz 3

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Q: What is the negation of the proposition/statement: 10 > 14 ?   a. 10 < 14 b. 10 ≤ 14 c. 10 ≥ 14 ...

A: We have to find the negation of the given proposition/statement: 10&gt;14Negation will be the opposi...

Q: ty" -y =+t y(1) = 1 y'(1) = 5

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Q: Find L ft ={fe',01 el-s -1 b. 1-s e -1 et -1 а. 1-s C. 1+s e- -1 d. 1-s

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Q: 12.6 7 S.

A: Concept: Here we shall use the identity,(angle bisector theorem of triangles) QPQR=PSPR

Q: 3 2 3 2 10 3 3 -6 5 20 - 12 4 -5 2

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Q: Find the two values of k for which y(x) = ek is a solution of the differential equation %3D y" – 16y...

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Q: SHOW THE SOLUTION: Solve using S Mdx(y = constant) + S N(the term not contained x)dy = A 2.) (8y – x...

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Q: In some situations, we would like to differentiate a function more than once. We call this higher-or...

A: As per the instruction, we will be answering the first question. If you need an answer to others the...

Q: Hint: This follows easily from a certain string of inequalities; E 1-14 is relevant. *39. Suppose ƒ ...

A: We will use concepts of  Riemann integration 

Q: plot parucul Solu 1. y" +3y' – 4y= sin wx, 2. y" +3y' – 4y = cos wx.

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Q: The marginal cost of a company is MC = 100 – 20x + x², %3D 2006 and the fixed cost is The quantity t...

A: To determine the quantitiy that minimizes the cost, put, dMCdx=0 Given: MC=100-20x+x2MC'=-20x+2x Put...

Q: Exercise 9.2.24. Find matrix inverses in Z26 for the following matrices. If no inverse exists, then ...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = 2x + 16, y= 0, x = 0 abo...

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Q: Problem 9. Suppose T: R" → R" and S : R" R* are linear mappings. Show that SoT is linear.

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

Q: x"(t) + 9x(t) 5sin (2t) when t = 0,x = 3,x' = 1

A: Solve the differential equation by using Laplace transferom  

Q: dr For Tatx')(xtan-"(x) + 1) -=In(F(x)) +C. What is F(/3) if C=0? A B -15 -15

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Q: Ive by the method of variation of parameters (without using formulae): D°y + 2Dy + y = e* /r°.

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Q: Which of the following is an improper integral? | in(x++ 1) dx In3e COSX dx хе -2 dr -4 x2-x-2 dx 2x...

A: an improper integral is the limit of a definate integral as an endpoint of the interval of integrati...

Q: An edge is called a bridge if the removal of the edge increases the number of connected components i...

A: G can have atmost 2 bridges.

Q: 4.2 EXERCISES 1. Find all solutions of each of the following linear congruences. a) 2x = 5 (mod 7) c...

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Q: (a) Sum the series y = 1+2x + 3x² + 4x³ + • .. , lx| < 1. (b) If f(x) = xe-z/^ over the interval 0 <...

A: Thank you for the question. Answers for subparts a),c) and d) are given. Kindly repost the b) part a...

Q: Problem 2. Find all pairs (s, t) of Gaussian integers s, t e Z[i] that satisfy (7+4i)s+(11+2i)t = 3+...

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Q: Solve the linear system using Gauss-Jordan Method 3a + 2b + 3c + 4d = 55 2a + 5c - 3d = 8 40 -b+ 5c ...

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Q: Associative law for multiplication of complex number ( z1 z2 ) z3 = z1 ( z2 z3 )

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Q: $500,000 that he would like to invest in a savings account earning 3.15% compunding daily over a 25 ...

A: Given Principal amount = $500,000 Interest rate = 3.15% compounding daily time = 25 years

Q: a) The distance from the centre as a grandfather clock pendulum swings back and forth b) the value o...

A: Periodic motion,  motion repeated in equal intervals of time.

Q: 1-cos 3t 1. Evaluate lim by constructing table of values. 3t t -1 -0.5 -0.01 -0.001 f(t) 1 0.5 0.01 ...

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Q: x+2y =bx + cy

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Q: Let S be a 2D subspace of R°. Find projs if projs =

A: Given that S is a 2D subspace of ℝ3 projs&lt;2,-1,1&gt;=&lt;0.5, 0.5, 1&gt; So, consider the 2-D pla...

Q: a. Check Level Curves box. Slide k. You'll see the dark blue curves on the graph. Those are called t...

A: To plot level curves for given functions.

Q: Problem 6. Show that if AB = AC and A is nonsingular, then the cancellation law holds; that is, B = ...

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Q: (2- sec?x)eln (afe°sec³x sec(3A – x) What should be the value of A for dx to be integrable using the...

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Q: Find the laplace transform of 1. f(t)= cos(5t)cos(2t) - sin(5t)sin(2t) 2. f(t)= (e^(2t))sinh(4t)-(...

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Q: 1. tan (5225°)

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Q: The number of solutions to cos 0 = - e, with 0 <es1 and sos 2 Infinitely many

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Q: Find the determinant of the n×n matrix A with 7's on the diagonal, 1's above the diagonal, and 0's b...

A: Let us consider the given matrix as:A=711111071111007111............000..7n×nThis is an upper diagon...

Q: 1. Fibonacci Numbers Recall that the Fibonacci numbers f(n) can be be defined recursively by letting...

A: We will  use strong induction method to prove S(n). Where S(n) is: f(n)=1+52n-1-52n5, with f(n)=f(n-...

Q: Problem 9. Prove that if f : [a, b] → R is integrable on [a, b] then so is |f| and

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Q: Problem 7. Prove that if A is symmetric and nonsingular, then A- is symmetric.

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Q: 2.) Calculate the curve integral over the vector field V(7, y) = ( -x*y xy for the positive oriented...

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