Draw a set of orthogonal 2d axes and illustrate the play that intersects at X=1/4, Y= 1 and Z=1/2 Calculate the Miller indices

Q: 1 List the elements of each of the (a) The set of integers between 1 and 50 that are divisible by e…

A: We have to right the givens sets into roaster from of set notation.

Q: Evaluate triple integral S*dz dx dy.

A:

Q: -3 Are the vectors -3 -8 linearly independent? -4 and linearly dependent If they are linearly…

A:

Q: Let f(x) = sin(xx). Suppose that h and k are two functions such that H (x) = cos(xx), k'(x) = f(x+…

A:

Q: A linear systje is defined by the following equatiosn, -1 -x1 + x2 – x3 2.x1 + 6x2 – X3 6x1 + 5x2 +…

A: The given system of linear equations is ,       - x1 + x2 - x3 = -1…

Q: A doll-manufacturing company wishes to create a display box with a square base and open front side.…

A: Given Let the side of square base of open box is a and height is h. also given surface area is 486…

Q: Cylinders SA = 2*7*r² + 2*x*r*h_ 15 cm 6 cm

A: Given: Cylinder with base radius 6 cm and height 15 cm. To determine: Total surface area. Concept:…

Q: QI) Evaluate the integral dy dx using polar coordinate

A:

Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8. 0 3 to eigenvalue 8 is 2,…

A:

Q: Use the Alternating Series Remainder Theorem to determine the number of terms required to…

A:

Q: , counting the multiplicities. Then A is orthogonally diagonalizable.

A: We have to examine that matrix A is orthogonally diagonalizable or not.

Q: Find the curvature of the function y=ln(3x)y=ln(3x) at x=3x=3. Find the radius of curvature at…

A:

Q: 2. Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the matrix.

A: We have to find the characteristics equation eigen values and eigenspaces of given matrix.

Q: Find the surface areas of the figures on the right. (a) The surface area of the right trapezoidal…

A: Given the right trapezoidal , we are to find the surface area of the trapezoidal.

Q: You are given the data points (xi, Yi) for i = 1, 2, 3 : (2, 3), (1, –8), (2, 9). If y = a + Bx is…

A:

Q: ン Frnd in side r=2 inford quarler aren aul sde r= 1+s6

A:

Q: Consider the linear transformation T : P2 → M22 given by [8a - T(a + bx + ca?) = You are given that…

A:

Q: 1 3 01 a Let A = 1 5. If 6 is in NulA, -1 4 -7 [2 | then the value of a is and the value of b is

A:

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (-0) in…

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y? ,x = 4.

A:

Q: Let H span {(-11,0, –5), (–3,0, –1), (–2,0, –1)}. A basis for the subspace H C R³ is { vector

A:

Q: Let S be the solid inside the sphere p = 6cos@and below the cone Ø = 1/4 Find the volume of the…

A:

Q: [2 0] [26] For A = 1 3 and b = , a least-squares solution of Ax = bis 3 1 5 What is the…

A:

Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(3x + 6) and let B = {1, x, x²}. {1, æ, b c a If [T]B = d…

A:

Q: Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 5c1 +…

A:

Q: A model created by an engineer is represented by the following multivariable functions (a) Find O he…

A:

Q: Let f be differentiable on R with f(0) = 0. Show that there are numbers t1, t2,..., t2022 with 0 <…

A:

Q: Let T : P2 → P2 be defined by T(p(x)) =p(3 +2) and let B= {1, æ, x²}. b c] d a If [T|B = e f what is…

A:

Q: 1.5 (3-x Q1) Evaluate the integral dy dx using polar coordinate

A:

Q: (i) Use the IVT to show that there is some number t in (1, 2) such that 3(t? +1)? = 20t. 1. Use part…

A: Let us solve the Intermediate Value Theorem  related problem and The Mean value Theorem related…

Q: Suppose that is an eigenvector of a matrix A with corresponding eigenvalue 8. Then x is an…

A: Eigen values corresponding to the eige equations.

Q: aluate L(t(uo - u) +tu,}.

A:

Q: de de dy 15 ans.

A: Given series is ∫01∫yy∫0ydzdxdy

Q: Question 11 8. 1 3 7 k 4 Let A = . If the dimension of the eigenspace corresponding 8. 0 0 0 3 to…

A:

Q: What is the solution of D.E (D² – 2D)y = e* sinx when solved using the method of undetermined y = C1…

A:

Q: 1 List the elements of each of the (a) The set of integers between 1 and 50 that are divisible by 8…

A: a) Set of integers between 1 and 50 that are divisible by 8 is: S=8,16,24,32,40,48

Q: D1.22 For the following systems with outputs y and inputs r, find the transfer functions: (a) drz…

A: Given (a) d2ydt2+3dydt+7y=6r1+5r2-4dr2dt2 (b) d2y1dt2+6dy1dt+2y1=drdt-3rdy2dt+6y2=4drdt (c)…

Q: A study determined that 11% of persons age 65 to 74 have a certain symptom. A group of 19 persons…

A: We have to find the required probability.

Q: Question 15 You are given the data points (i, Yi) for i = 1, 2, 3: (2, 3), (1, –8), (2,9). If y = a…

A:

Q: Let H = Span{1+x,1+x², 3+x +2x², 2 + x + x²}. what is dimH?

A: Solution

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

A:

Q: n (n2 + 1)2 n=1

A:

Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. if || f|| = 4, ||| 5 and || f…

A:

Q: Question 5 Suppose that A is a 16 x 14 matrix that has 6 pivot columns. Then: (i) dim (ColA) is (ii)…

A: Given that A is a matrix of dimension 16×14 that has 6 pivot columns. Then  (i) dim(ColA)=number of…

Q: Question 31 2 1 1 U2 = 1 and W =Span{u1; U2, U3}. For 1 Let Uj = Uz = 1 1. 6. in W ? what value oft…

A:

Q: Consider the linear transformation T: M22 → P2 given by a (a + 2b + c+ d) + (a + 2b + c + d)x + (a +…

A:

Q: Prove or disprove the following cases: (i) If x E Q and p € R – Q, then x+p€R – Q. (ii) If x E Q…

A:

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4-x from above inside x = y? ,x = 4.

A: Volume of the solid (V) =∫∫∫dxdydx Blue color curve represents z=0 and z=4-x Red color curve…

Q: What is the limit of T(n) as n -> ∞?

A:

Q: What modifications would have to be made to find the derivativesin e ife is given as an angle in…

A: