1. Find the distance between (2, 8)and (–3, –4).

Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11

A: Given that  2x1+5x2=163x1+x2=11 We have to find the value of x=x1,x2 that intersects the given equat...

Q: The sequence is equal to the sequence n+1 n = 3 (1 2 3 4 2'3'4'5 True False

A: It is given that the general term of the sequence is nn+1n=3∞. We have to check whether the general ...

Q: Determine the total amount of a loan of $5400 at a simple interest rate of 2.1% for 8 years.

A:

Q: (a) The system has no solution. [1 0 -1 2 The system has a unique solution. 0 1 1 (x, y, 2) = (1LD 0...

A: a) 10-1201150000 b) 100-501020011

Q: a) у %3D (-х — 1) + 2 4 3 1 -5 -4 -3 -2 -1 1 4 5 -1 -2 -3 -4 -5 Left: Right: 3. 2. 2.

A:

Q: Solve for Fourier coefficient, f (x) = Ssin x 02x2n T >x 22n

A:

Q: 10. Which figure comes next in the sequence? A B D

A: Answer is option D. 

Q: Problem 3 Determine whether the sequence converges or diverges. If it converges, find the imit. (a) ...

A:

Q: a solid is obtained by rotating the region bounded by the curves y = x-1/2 1 and y = 1 about the y-a...

A:

Q: Determine the intervals of concavity for the function f(x) = xex .

A:

Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the...

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A:

Q: Find the inflection points of the function f(x) = x 2 ln x

A:

Q: 1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and...

A:

Q: Describe (in the form y = (x)) the images of the lines u = 6 and v = 6 under the mapping G(u, v) = (...

A: Solution

Q: Simplify(x /y5 )5 x4/y5 O x8/y10 Ox15/y25

A: Exponential simplifications.

Q: the nth Taylor/maclaurin polynomial

A:

Q: 10. Prove that (지12 sin 8 cos 1 (cos a cosec 0) de 1/2-a (1-cos a )

A:

Q: If = 1-2 +,7= 27-j+ and # =1-2, determine each of the following: %3D a. px4 c x7)-7 C.

A: We have to find the cross product of vector.

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next t...

A:

Q: 9.5. If s1 = aj + ib¡ and s2 = a2 + ib2, and s182 = (a¡a2 – bịb2) +i(a¡b2 +azb¡) use the fact that r...

A:

Q: Prove that a subset of a countable set is countable. Give example using real number

A:

Q: Sketch a graph of the function. if a 1 Given the piecewise definition f(x) = Draw the graph of f. 8...

A:

Q: 1. Suppose that y, and y, have a nonzero Wronskian and that c¡k2 – czk1 # 0. Show that Y, = C1Y, + C...

A:

Q: Locate the highest real root of f(x) = 2x3 – 11.7x² + 17.7x – 5 a.) using fixed point iteration meth...

A:

Q: 2. Prove that 11" – 7" is divisible by 4 for any positive integer п.

A:

Q: The differential equation / (x y ež ) = yež + 2² has a solution of the form f(x, y) = ln |x| + C. Fi...

A: To find The constant C which satisfies the given initial condition y(1) =1

Q: x³ – 16 lim z+too x2 + 4

A:

Q: 282 -35 - 2 Y(s) z(1 + s)s

A:

Q: 18. Simplify: i9 + j21 + j2050 in form a + bi.

A: Complex number a+ib form

Q: Owners of a bike rental company that charges customers between $3 and $20 per day have determined th...

A:

Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3...

A:

Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what valu...

A: Collinear and perpendicular vectors

Q: The volume of the solid bounded above by the paraboloid z = 4 – x? – y? and bounded below by the par...

A:

Q: Approximate the area under the graph of f(x) and above the x-axis with rectangles, using the followi...

A:

Q: 19. If A = 40cj120". B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

A:

Q: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

A:

Q: Let the terms of a recurrence relation A(8)= 327.680 and A(4)=1.280. Obtain A(10)

A: SOLUTION

Q: sec x + cosx csc csc x csc? x secx cOS X cos? x cos x cos x f f(x)dx _ , then If f(x) 1

A: f(x)=secxcosxsec2x+cosxcsc2xcos2xcos2xcsc2x1cos2xcsc2x

Q: Q4. Given the data points 3 ソーf(x) 7 11 28 Use Lagrange's Method to determine y at x-1, also find x ...

A:

Q: a) parent: y = x5 transformation: y = 2(-x + 4)5 – 1

A: Solution

Q: Prove that a non empty set A is countable if and only if there exist a bijection from A to a countab...

A:

Q: Given the following vectors u'and v, find a vector w in R so that {u, v, w} is linearly ndependent a...

A: Any vector in span {u,v} will be of the form    s =  a(5, 5, -8, 4) + b(-1, 3, -9, 7)       = (5a - ...

Q: Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive...

A: Solution

Q: (-1)"4"+1,n+1 3n+1(n + 1) In this problem, we investigate the power series n=0 Σ (-1)"4"+lpn+1 3n+1(...

A: We have to find the power series.

Q: -1 1 5 1 Find 2 5 0 2 7 1

A:

Q: Find the nth Taylor/maclaurin polynomial

A:

Q: The Hausdorff dimension of {z ER : |æ| = 4} is d. Answer: = P

A: Hausdorff dimension of the given set is d=5.

Q: Which of the followig correctly evaluates 6C4? 6! = 30 4! 6! = 15 (6 – 4)!4! 4! = 12 (6– 4)! 6! = 36...

A:

Q: a. Define a relation R on Z as follows: For all integers m and n, mRn + 3|(m – n). Then 3R5 (A) True...

A: