1. Find when the function is increasing and when it is decreasing. x2 – 9 f(x) = x2 – 16

Q: 5) A vng R is Called Boolean ving if.... a) x: y? Vx, Ye R b) x xy Vx, yeR c) None d) x:y vx, yeR

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

Q: what are the total expenses after a year (52 weeks) for the accountant?       A $6,720       B $7,6...

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Q: Calculate the sum of the series: 1 + 4 1 1 + 12 1 + 20 + ... 16 A. С. 1 D. doesn't exist B.

A: We have series , 14 + 18 + 112 +  116 + 120 + ...... This series can be written as , ∑n=1∞14n First ...

Q: Q1. Solve the recurrence relation x, = 6xn-1 – 9 xn-2 with initial condition x, = 1,x1 = 4

A: We have given recurrence relation ,  xn = 6xn-1 - 9xn-2   with  x0 = 1 , x1 = 4. Take all the term t...

Q: What is L-' 1 using Completing the Square? s+s-15 1

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Q: (2) Let - {b ] E [2 3] A- Is A linearly independent? Justify your answer.

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Q: The velocity (in m/s) of a rocket is given as a function of time (in seconds). The table below shows...

A: Given The velocity of the rocket is given as a function of time The table show the velocity of the r...

Q: Q5)Poles Apart purchased snowboards at a cost of $345 and marks them up by 35% of the selling price....

A: Solution:-

Q: 7. Explain why we really are using base 1000 notation when we break large decimal integers into bloc...

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Q: linear algebra) 1. if the p=(u,v,w) where u,v,w are vectors. Show that a. |p|<=|u|+|v|+|w| b. |u|...

A: We will use the basic knowledge of vectors and linear algebra to answer both the parts properly, in ...

Q: Two circles are said to be orthogonal if the radius drawn from one of the circles to a point of inte...

A: Given, Two circles are said to be orthogonal if the radius drawn from one of the circles to a point ...

Q: 5. (6 + 15i ) 3

A: this is a problem of complex analysis.

Q: Example: 1. Evaluate the double integral SRS (3y – 2x2)dA if R is the region consisting of all point...

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Q: A={a,b,c,d,e,f,g,h}, B={a,c,e}, C={a,e,i}, D={g,h,i} so which of the following statements is true? O...

A: Given sets are A=a,b,c,d,e,f,g,h, B=a,c,e, C=a,e,i and D=g,h,i, We have to check which of the given ...

Q: Use the divergence theorem in R to evaluate the surface integral I of the two-form w = (zry + e5v) d...

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Q: The value Of (1+1)8, is equal tO O 16 4 4i

A: 1)  f(z) = (x-y)2+ 2i (x+y)Here u = (x-y)2,  v = 2(x+y)ux = 2(x-y),   uy= -2(x-y)vx = 2,  vy = 2for ...

Q: Let X be a random variable with p.d.f f(x) = c+ 1.2x2,0<x< 1. Find a constant c if E(X) = ! 0.6 0.4 ...

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Q: What is L s+2 (s – 3)* - 9 e cosh3t +e sinh 3t 3. A. 3r 8. e sin 3t 3. B. e cos 3t + 3/ 3r 2r C. e 2...

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Q: x = c¿coswt + c2sinwt, w is a parameter (not to be eliminated)

A: It is known that: ddtsinkx=kcoskxddtcoskx=-ksinkx Here, k is a constant.

Q: 1 b. 4*(x³)dx -1

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Q: Given the following points: P(5,7,8), Q(-1,4,2) and R(2,5,-1) forms a triangle. Find the unit vector...

A: This is a problem of vector algebra.

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: The space I(p). Let p = be bounded sequence of strictly positive numbers, so that 0 such that that ...

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Q: п a ) Σ x n=0

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Q: 1- What is the value of f 3z2+7z+1 dz z+1 (a) If C is the circle |z+1|=1. (b)If C is the circle |z+i...

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Q: 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2...

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Q: 3. The forces in three members of a framework are F,, F2 and F2. They are related by the simultaneou...

A: For better understanding, we use x, y and z at place of F1, F2 and F3, respectively. (a).

Q: 1. Which of the following collections are sets ? (i) The collection of days in a week starting with ...

A: Set: A set is a well defined collection of objects. We write a set in capital letter. We can represe...

Q: PPROBLEM SOLVING Directions: Read carefully and write your answers on the black provided after each ...

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Q: Evaluate L{e" (r +r* –-1)}. 6. A. (s–2)* (s-2) (s -2) 6. 21 B. (s+2)* (s+2)' (s+ 2)* 2 C. (s-2)' (s-...

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Q: Determine the roots of the complex numbers studied in class. 28. z5 = 4i 29. z5 = 6i

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Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of li...

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Q: Evaluate: 2sin(3i)cos(3i)

A: Given  2sin(3i)cos(3i) To solve we use following properties: 2sin(θ)cos(θ) = sin(2θ) sin(iθ) = isin...

Q: Example 38.18. Prove that (a) div A, = VgA)

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Q: Which one of the following is the vector equation of a plane containing the points: (4, 0, 3). (1, -...

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Q: 7. Determine the set which is equal to this infinite union: Justify your solution.

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: Find the root of the function using newton’s method.

A: Note:- In given problem, you mentioned Newton's Method but didn't mention exact equation or function...

Q: n²x, 0<x<1/n fm (x)== { --n²x+2n, 1/n<x<2/n ( 0, 2 n<x<1 uniformly convergent on [0, 1}

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Q: nating the function ntire interval [a, b], range's interpolation ted with the inter-

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Q: eigenfunctions corres- lem %3D ions obtained from the

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Q: Determine the roots of the complex numbers discussed in class. 1. z3 = -2 2. z3 = -3

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Q: Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximi...

A: The following steps are used to find the solution of the linear programming problem by the simplex m...

Q: Complex Numbers: Find the roots. = 2 – 31

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Q: Se xye" dy, C. x- , y-, z- , 0 <te1

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Q: 5. Determine the roots of the complex numbers studied in class. z3 = 2 – 3i %3|

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Q: Question 3. Suppose G is a group with order 99. Prove that G must have an element of order 3. Questi...

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Q: sin (z. + za) g.= = [cos (z, – z)] (/Zn + z,) + z.) h.== tan i. 2= csc (za - za)

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Q: Q5: Use the method of variation of parameters to find the general solution of the et differential eq...

A: It is given that y''-2y'+y=et1+t2+3et. We have to find the general solution of the given differentia...

Q: If M and N be the subspaces of V that contains the set of symmetric and skew- symmetric matrices, re...

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