The z-coordinate of the point of intersection of the plane r+2y +z= 6 and the line through the points (1,0, 1) and (2, –1, 1) is 15. (a) -3 (b) -2 (c) -1 (d) 0 (e) 1

Q: Express your answer in rectangular form both in exact value and approximate value. For each number,…

A:

Q: a) Write 32 x 31 x 30 x 29 as a fraction using factorials. b) Write as a product 221 + 21!

A: Here we can use the fact that  n!=n×(n-1)!Andn!=n×n-1×......×3×2×1

Q: ct the Fourier series for the function f(x) = (T-x)² for 0 <x < 2n ? %3D

A:

Q: O Using Resolution method, show that KB E a, where KB = {(((P^ Q) → R) ^ (Q = R)) ^ (RAT)} and a=T

A:

Q: Factor each of the given polynomial equations completely and find all of the solutions. 2x3 – 3x2 –…

A: factor each of the given polynomial and find all the solutions 1) 2x3-3x2-3x+2=0 divide the…

Q: 212 Given that the moment generating function of a random variable X is e2, using the Maclaurin…

A:

Q: Posses ho solurion forr fcs)=S but That Posseses infinitly many solutions whcn f(s) =l

A:

Q: on to 6- The map T: F F[x]/f) defined by r(x) = x + (S) = [x] is an epimorphism. This map is called…

A:

Q: Let T: R2 → R4 be defined so that T(-1,1) = (1,0, -2,2) and T(1,2) = (-3,1,1,1). Find bases for…

A:

Q: Use variation of parameters to solve the given nonhomogeneous system. 0 3 X' = X(t) =

A:

Q: A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

A:

Q: The Laplace transform of F(t) = /integral exp(2t) dt from 0 to t. Select one: a. s(s-2) O b. 1/(s(s…

A: As per our  guidelines we are supposed to answer only first question. Kindly repost other part in…

Q: 2. A test program for grade 10 can generate quadratic functions in a standard formy = ax + bx + e…

A: To construct a tree diagram and show all possible quadratic functions :-

Q: Part (1) Single Integration in Polar coordinates: 3) Find the length of the curve r = cos(0/3),…

A:

Q: Q4/ Find the centroid of the shaded area shown in figure below.

A: Introduction: The centroid or geometric centre of a flat shape is the arithmetic mean position of…

Q: Determine whether each pair of graphs are isomorphic. If they are isomorphic give the one-to- one…

A: Two graphs  G1 and G2 are isomorphic if there exists a matching between their vertices so that two…

Q: 3 – x – 21x (12х — 6) 2х — 1 2 - 1 2x х+3 10x2 2х х — 1 |

A: This is a question of real-valued function.

Q: The function 1. f(z, y) 4+4x + 4y can be expressed as a Taylor Series about a 4. y =5 ie. f(z, y) R…

A:

Q: Find the convolution of the two functions: f (t) = 2t and g(t) = (Cos 3 t. %3D %3D

A:

Q: The number of hours of daylight on a given day in City A is given by the following function, where x…

A:

Q: Find the general solution to the following differential equations. Solve them for y. dy а. ex+y + ey…

A: In (a) we can use method of seperation of variables. In (b) we can use method of solving linear…

Q: (a) Explain why the function f(x) = e²´ is not injective (one-to-one) on its natural domain. (b)…

A:

Q: Trigonometric funetion '

A: Given,        f(t)=-3+4cosπ3t-32

Q: dY 6. dt 2 -1 Y 4

A:

Q: 5. Let x be a solution to the homogeneous linear system of equations Ax = 0, where A is an n xn…

A: Solution:-

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

A:

Q: Sketch the region of integration and change the order of integration. 46. -2 Jo /4-y² f(x, y) dx dy

A:

Q: х у z y Find the value of 35 25 45 if it is known that -9. uv w -7 -5 -9 Answer with text and/or…

A: To find the value of the given data.

Q: Use Gaussian Numerical Integration to calculate the values of L and I, for: 2x 1 I = -…

A: Given,I=∫02π12+cos xdx=2π3To find: Value of I3 and I5 using Gaussian Numerical Integration

Q: Find the demand function p, given the marginal-revenue function dr/dq below. dr 2 = 207 - 7q-1.2g bp…

A:

Q: 1. In this question, you will be using the following trigonometric identities: cos? a + sin? a = 1…

A: We have for any real number α ,  Rα = cos α-sin αsin αcos α (a) For all , α , β ∈ ℝ , we need to…

Q: Given the graph as below. Determine whether it is Eulerian circuit, semi-Eulerian or neither. State…

A: Introduction: Eulerian graph is defined as a graph in which we tour the edges of a graph and visit…

Q: Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) =…

A:

Q: 8. Find the indicated term of each harmonic sequence. 26 dai 1 1 1 1 a. 5'8' 11' 14' 10th term ... 1…

A:

Q: 6. Engineers Required 20 55 47 38 90 63 NPV ($1,000,000s) 1.0 1.8 2.0 1.5 3.6 2.2 Formulate an…

A: When project 4 is done, at least two of the other projects will be done.  P1+P2+P3&gt;=2P4.

Q: Use the definition of an inner product to determine which of the following defines an inner product…

A: This related to inner product from linear algebra.

Q: 1. Write the first five terms of the sequence defined by each equation. t = 4n b. t=3n-7 а. c. t=(n+…

A: Substitute the first five natural numbers for n in the given sequences to obtain the first five…

Q: b) The price of the pants is fixed at $50 and the jacket, $80. The store wants to decide what is the…

A: (b) write down an equation for the revenue R. (c) find the coordinates of all the vertices of the…

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

A:

Q: 8:3 18. Coefficient of correlation between two points. From the followiag given sets of observations…

A:

Q: Find |[F•N dS (flux), where F(x, y,z)= 4x'zi +4y'zj+3z*k, S is the sphere with radius R centered at…

A:

Q: (e) Let B be 2 x 2 matrix. any a CO a = Uj1 (i) Show that there are real numbers u11 and a such that…

A:

Q: 13. Solve the ivp differential equation: +y = e2x; y(0) = 0,y'(0) = dx

A:

Q: Solve the equation: u = a u 0 Uxx u(x, 0) = f(x), a(0, t) = u(L, t) = 0 %3D

A:

Q: 1 - Find the eigen values and eigen vectors of the matrix: 1 3 4 |-2 1

A: Solution:-

Q: Find the inverse of the matrix by utilizing Gauss-Jordan elimination. |1 2 -2| |1 1 1 1

A:

Q: b) For a general curve r: 1R, define the vectors t(s), n(s) and b(s) as t(s) - r(s) (s) and b(s) =…

A:

Q: Average Birth Height of Boys Using data collected at Kaiser Hospital, pediatricians estimate that…

A: Given h'(t)=52.8706e-0.3277t1+2.449e-0.3277t2 find the integral to find h(t)…

Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x³ + 7x?+ 3x. %3D

A: This we shall do by inspection method. The detailed solution typeset in latex is presented as the…

Q: 2u?u? Σ: y = u with 0<u < 2,0 < v< 1. Z = V

A: