= 2. Are the vectors V = (2, — 4, 1) and w Show work and briefly explain. (3, 2, 2) orthogonal? 3. Find a × b'if a=3ï −2] + K and b=4 i +3K

Q: If the principal amount borrowed is $100 and the interest for 10 years is $80, the total amount owed…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

A: We choose true or false from the given sentences.

Q: Points D, E and F are midpoints. Point G is the circumcenter of AABC. Find the following measures.…

A: Consider the following figure We have to find the CF. As GF is the perpendicular bisector of AC…

Q: f If Xo's Compact, x=y Continuous bijective L Topelagied space Then f is homeomorphism

A:

Q: Find power series solutions of x following differential equation. (x² + 1)y" - 2xy + xy = 0

A: Given differential equation is x2+1y''−2xy'+xy=0.....1. We have to dins the power series solution of…

Q: The value of p for the series En=1 2n | n! by using ratio test is

A: Given series is ∑n=1∞2nn!

Q: 1. Let k> 0 be a given number. Consider the solid bounded above x²+y²+z² = 2k² and bounded below by…

A:

Q: conditional proof

A: The given argument is 1.  p→(q∧r)   premise 2. ~q   premise  ∴ ~p conclusion

Q: Calculate the integral ff edady. The region R of integration is the triangle with the vertices 0…

A:

Q: If the volume of the parallelepiped determined by the vectors A = i +ak, B = 8i-5j + ak and C = 2i…

A: Given vectors are A = i + αkB = 8i - 5j + αkC = 2i + 3j - 8k

Q: Use Green's Theorem to evaluate -15/4 O -218/3 O 19/2 [(6y - 9x) dy - (yx - x³) da where C' is shown…

A:

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 √° ²₂ √² + 1 dr dy…

A: Given Integral, I =∫08∫y1/32x4+1dxdy and the region of integration is, 0≤y≤8 ,y1/3≤x≤2 Graphically…

Q: We want to use the Alternating Series Test to determine if the series: Σ (-1)2 +1, converges or…

A: Alternating series:- A series is called  Alternating series if its terms are alternatively positive…

Q: Solve using Gaussian Elimination, Given the equation, what is the next step to take? x+y=z=-2 2x - y…

A:

Q: Q1\ Choice the correct answer from the following: L[-te-at L[-t * e¯at * u(−t)] =

A:

Q: Evaluate the following integral using inversion of order: So fa dyda

A:

Q: The particular solution (yp) of the equation y" - 3y + 2y = 5 e* is yp = -5xe*

A:

Q: The z-transform of [n] = u[-n] is

A:

Q: True or false? (a) If V is a vector space and W is a subset of V that is also a vector space, then W…

A:

Q: Find the mass of the cylinder (centered on the z-axis and base in the xy-plane) with radius 4 and…

A:

Q: Find the volumes of the solids obtained by rotating the region bounded by the curves y=√√x and y=x²…

A:

Q: 2. p(q^r) -q/:: -p

A: Given : Argument is           p=> (q Λ r).......(1)          ⌐q........(2)           ∴⌐p To find…

Q: Calculate the double integral ff (r-y) drdy. The region of integration R R is bounded by a =0, x= 1,…

A:

Q: abstract manifolds, PCM. 5. If a) Define TpM and dfp, where M²₂N is smooth map Трер betak by dfp:…

A:

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix…

A: Given, a×i=0 and a x j =0

Q: • Use Part 2 of the Fundamental Theorem of Calculus to find the exact area. (You can compare this…

A: Fundamental  theorem of calculus  gives the antiderivative say g(x) = x3/3 -2x So the  value of…

Q: the equation of the line that is parallel to the intersection of planes 3x+2y-4z= 12, 2x-8y + z = 0…

A: Let the direction ratios of the required line, which is parallel to the intersection of the given…

Q: Q3 Solve the following vector problems using an appropriate method: (a) f(F.ds) where F= and S is an…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Q5\ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

A: Bisection method:- This method is based on the theorem that if a function f is continuous in the…

Q: EXERCISE 5. Consider the function f(x,y) = x(1- y²) in the domain {(x, y): r² + y² = 1}. (a)…

A: Given function is fx, y = x1-y2 Domain = x, y : x2+y2=1

Q: Find the root of x-x-10 = 0, using the Newton-Raphson method correct to three decimal digits. Take…

A:

Q: Sketch the following surface: (z+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A:

Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: L do IP 주 (x-sy)(2ty-2) +3t(y+x). (2 tx+5) (2ty-2) + 9t2 x (0) = 0.2 (2txts) (+3x)-3t (2²_3y)…

A:

Q: Determine whether the Existence and Uniqueness Theorem guarantees the existence of a unique solution…

A:

Q: ||||| + ||y||| ≤ ||x - yll O Option 4 (x + y,x+y) 4 Option 1 √(x-y,x - y) Option 2 d(x, y)…

A:

Q: Z-y+2x = 5 X+y-z = -2 2y + 2z -x=1 What is the value of z?

A:

Q: о dy-bdy +ay 1 dx2 - бе 3х +те-го года

A:

Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

A:

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex²

A:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. X 름-빨 In x Select the…

A: The given problem is to find the area of surface obtained by rotating the given curve about the…

Q: Q1: A- Find the limits of the following series (-1)" ܐ R=0 22 Στη Σ iv- 6 (2n-1X2n+)

A:

Q: x+y+z=3 x+2y + 3z=-0 x+3y+2z=3 What is the value of x?

A:

Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…

A:

Q: 1. Pointwise Convergence 1.1 Definition → 1.2 The Difference between Pointwise and Uniform…

A: pointwise convergence 1.1 definition let gnx defined in a,b be a sequence of real valued function…

Q: Given the graph G below: ES €15 29 €10 EL els (a) Find a spanning tree in G. Give your answer as a…

A:

Q: The value of limx→0 x² by using series is -0.5 O 0 O 1 -1 O O

A: We want to find the limit limx→0ex-1-xx2

Q: Normed space. -Metric Space h space i - Pre-Hilbert space - Metric space and Complete - Normed space…

A:

Q: Consider the following. -9x, x ≤ 4 f(x) = {x² - 4x +7, x>4 Find the x-value at which fis not…

A:

Q: Nearly a third can be used to represent

A: We have to show that how a third represent.