Determine the scaler equation of a plane that contains the point (3, 1, -2) and Y-axis.

Q: Show that the function f: C → C given by f(z) = z2 is continuous on C.

A:

Q: calculate the mean, mode and median of the following data set, which is the measured reach distances…

A: Given that the data28, 23, 27, 29, 28, 26, 25, 30 and 24   .

Q: Give the definition of a Lebesgue measurable set. Prove that if A and B are Lebesgue measurable…

A: We are given that A and B are Lebesgue measurable sets.        => m(A) < ∞,            m(B)…

Q: Find the general solution of y" + 12ly = 0. Oy(t)=c₁e-12¹+c₂e Oy(t)=c₁e¹¹+c₂e Oy(t) = c cos 11t+c…

A: This question is about ordinary differential equation.

Q: Suppose f: R → R is a function, and flo is the restriction of f to the rational numbers, and fRQ is…

A: We now prove the given statement

Q: vector field is represented by: F(x, y, z) = 3yz lnxi + (5x − 8yz)j + xy6z³ k a) Find the curl of F…

A: We have to find the curl and divergence of the vector field  F(x,y,z)=3yzlnxi +(5x-8yz)j+xy6z3kat…

Q: Write it properly please I cannot read it well especially no 2

A:

Q: Data for a function G is given in the following table. Estimate G"(0.5). x G(x) i 0 0.00 0.01 0.03…

A: We know, for small value of h,            G'(x) ≈ {G(x + h) - G(x - h)}/(2h)    So, G'(0.4) ≈ {G(0.4…

Q: Show that u = √3+ √2i is algebraic over Q and type its minimal polynomial p(x) = irr(u, Q) below.

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: What is the coefficient of the term a b²c5d²e² for the product (a+b+c+d+e)25? Just provide the final…

A: By multinomial theory, the coefficient of ac1 bc2 cc3 dc4 ec5 in (a + b + c + d + e)k  is…

Q: y(x) is the solution of the differential equation dy/dx = 4xy^2  when x = 0, y = -1 a) when x =…

A:

Q: 4. Find the error/s in the solution by encircling that part/those parts of the error/s in red ink…

A: As per guidline we can answer first question . Please repost the second question for the solution.

Q: © L +/ N

A:

Q: it) is the point (-1,-2,3) visible from the point (1.2, 0) if there is an opaque ball of radius 1…

A: With the help of two points  then we find x,y and z values .. Then we put x,y and z values in…

Q: A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180…

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given…

A:

Q: Please solve number 3

A:

Q: In the space C[0, 7] define the vectors f, g, and h by f(x) = x g(x) = sin r h(x) = = cos x for…

A:

Q: In R4 let M be the subspace spanned by the vectors (1, 1, 1, 0) and (0, -4, 1, 5) and let N be the…

A:

Q: Use the simplex method to solve. Minimize w = 18y₁+30y2 (Hint: This exercise has two solutions. Find…

A:

Q: What is the degree of the largest irreducible factor of (x^12)-1 over ℚ?   3 4 6 None of the above

A:

Q: 2. Prove by induction that Er² = n(n+1)(2n+1). Deduce formulae for 1.1+2·3+3.5+4.7+...+n(2n-1) and…

A:

Q: stion 5. In this problem we prove that a straight line is the shortest curve een two points in R”.…

A: For part (a), we use Cauchy Schwarz's inequality.

Q: Suppose I is a transformation from R² to R². Find the matrix A that induces Tif T is rotation by…

A:

Q: Consider the following all-integer linear program. 1x₁ + 1x₂ 8 2x₁ + 1x₂ 5 11 X₁, X₂20 and integer…

A:

Q: (b) Let a: R→→→ R³ be a regular curve of the form a(t) = (f(t), 0, 0), where f: RR is a bijection.…

A: Introduction: In mathematics, a unit speed re-parametrisation of a curve is a process of…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Sol:- The given region is a straight line passing through the origin with slope 4, and it is…

Q: 1/(1-2) + 1/(2-3) + 1/(3 · 4)+.....+ 1/{n(n + 1)} (a) n(n+1) (b) n/(n+1) (c) 2n/(n + 1) (d) 3n/(n+1)

A:

Q: A certain manufacturer of Blu-ray players will make x thousand units available in the market per…

A:

Q: Evaluate ∫C (x + y) ds, where C is the straight-line segment x = t, y = (1 - t), z = 0, from (0, 1,…

A: Line Integral over the path

Q: Simplify the following Boolean functions by first finding the essential prime implicants: (c) F(A,…

A: c) Consider the following function; F(A, B, C, D) = Σ(1, 3, 4, 5, 10, 11, 12, 13, 14, 15)

Q: Use the combined wage bracket tables, Exhibit 9-3 and Exhibit 9-4, to solve. How much combined tax…

A: Sol:- To determine the combined tax that should be withheld from the paycheck of a single employee…

Q: For the following simplex tableau (a) Compute the next pivot element. (b) Determine the next tableau…

A:

Q: 2 J4y-yz dy | 1

A: We have to find the total shaded area .. So the yellow shaded portion in ist and 2nd quadrant.. So…

Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

A:

Q: Learning Target DA4: I can find the critical values of a function, determine where the function is…

A:

Q: Let R0 be a graded ring. Show that the multiplicative unit 1 ER is homogeneous of degree 0.

A: Introduction: In mathematics, an element of a set or a structure is said to be homogeneous if it has…

Q: 1 2√√2π 1 √2π e(1-0)ize(1-0)iz + well-w) iz -we-(1-0)iz +e (¹+0)iz _ e(¹+o)iz - we ¯(¹+0)iz +…

A:

Q: A can of soup with a volume of 500 cm³ is to be designed and produced. The material for the top of…

A:

Q: Let Integrate a. b. $(1²³ + 2 (y² + x²) ds $(2² +8 (z² + y²) ds The identity = = will help with the…

A:

Q: 7. The following two payment streams have equal present values: i) 500 at time 0, 600 at time n and…

A: Given the cash flow stream as :   500 at the time 0,   600 at the time n  and  700 at the time  3n…

Q: Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the…

A: Solution:- Given curves are y2=x-1,y=-6

Q: Let TEL(V) be self-adjoint. Let A₁, A2,..., Am be the distinct eigen- values of T. For i = 1, 2,…

A:

Q: show base step, inductive hypothesis, and inductive step 1) Let Fi denote the ith Fibonacci number.…

A:

Q: Question 29 Maximize 2x1 + 4x2 subject to 1 + 3x2 12 2x1 + x₂ 14 120 and ₂ ≥ 0 Using simplex method…

A: Given Linear programming problem is , Maximize  2x1+4x2   subject to  x1+3x2≤12…

Q: Suppose that we use the Improved Euler's method to approximate the solution to the differential…

A:

Q: Solve:

A:

Q: When a drink is taken from a refrigerator, its temperature is 4° C. After 30 minutes in a 25°C room,…

A:

Q: Let B = {b₁,b2} be the basis in R² pictured below. a = If the coordinate vectors [u] O C = 12 d = bl…

A:

Q: Find the null space for A. = [1 null(A) A = 15-5 0 1 -³] 3 = span

A: