1. Find the volume of the parallelepiped PQRS if the vectors V(PQ), V(PR), and V(PS) are respectively 31 + 2f – k, î – 25 + 3k, and i -j + k.

Q: A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then…

A:

Q: ||r(t) x r"(t)|| Use the formula k(t) to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk K(t):

A: Given :  r(t) = 11 cos(t)i + 11 sin(t)j + 6tk To find :  We have to find k(t),   where   k(t) =…

Q: Draw a graph that does not pass through -8 and 8. Identify 3 points that is continuous at that…

A: Let us solve the problem in the next steps.

Q: 5.4H Per., Area & vol. 7 The side of each cube used to build this rectangular prism is 2 cm. What is…

A: Volume of a rectangular prism = length* width * height.

Q: Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (2, -1, 4), T(0, 1, 0) = (3, 1,…

A: We have to find the value of T2,1,-4

Q: A. Write Tif the statement is TRUE and F if the statement is FALSE, then justify your answer in…

A:

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: „ROC: |2| < 1. The Z-Transform of signal x[n - 1)is Let xlz] be the Z-Transform of a sequence x/n)…

A: Introduction: The Z-transform converts a discrete-time signal, which is a sequence of real or…

Q: 1. The binary operation * defined on Z by x * y = 2xy. Show that * is commutative and associative.…

A: 2. Given that, x*y=1+2x+2y Let x,y,z€ Z  NOW  y*x=1+2y+2x       =1+2x+2y       =x*y  So * is…

Q: As in #3 but now evaluate (37603|48611), again by regarding it as a Legendre symbol, after first…

A: We use the law of quadratic reciprocity to solve this question. The detailed solution typeset in…

Q: (j4+43)(2cjs(-35°))" j6 (32cjs40°) Let 0=

A:

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 9x from (9,9) to (0,0). %3D NOTE:…

A:

Q: 2x y +1 Consider the following statements about the surface of equation In(y) + 1 and the point…

A:

Q: нatrix A 3D |2 5 2 -4 -1, suppose azn is the pivot. This means that Row ? v is being zeroed out by…

A:

Q: Use a series to estimate the following integral's value with an error of magnitude less than 10-.…

A: Solution :-

Q: Solve the following problems on bond papers (maximum 3 bond papers) with ½ inch margin on all sides.…

A: According to rule of bartleby we can solve only 1st problem and if your require another one kindly…

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: In El Yunque rainforest in Puerto Rico, 116 male coqui frogs were studied. Biologists found that the…

A: The slope, m, of a line that passes through the points x1, y1 and x2, y2 is calculated using the…

Q: Consider the following Cayley Table defined by the binary operation M. M y y y y y а. Is M…

A: (a). Since the Cayley table is symmetric about the principal diagonal, so M is commutative. (b).…

Q: Find a real root using bracketing method of the polynomial function f (x) = 3x³ + 8x? – 9x – 13.…

A:

Q: Find the Fourier Transformation of II (t-) Select one: O l sinc(f) O ef sinc(2f) O jrf sinc(f) 3jef…

A:

Q: The objective of this question is to use Laplace Transforms to determine the solution below y" – 2y"…

A:

Q: Solve the given initial-value problem. y'' + 4y' + 4y = (7 + x)e−2x,  y(0) = 6,  y'(0) = 8 y(x) =

A:

Q: Identify the missing value in the Fibonacci sequence. 1, 3, 3, 9, 27, __    a. 49  b. 243 c. 174 d.…

A: Solution :-

Q: X Find the Maclaurin series for the function f(x) = dt. How many terms of the series are needed to…

A:

Q: [MO42] Evaluate the following (Express all answer in Rectangular Form): C. z? + 3z = log(-3),…

A: c) z2+3z=log(-3) ⇒z2+3z-log(-3)=0 ⇒z=-3±9-4(1)(-log(-3))2 ⇒z=-3±9+4log(-3)2+i(0)

Q: The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10 for 0 ≤ t ≤…

A: Given that The velocity function of a moving particle on a coordinate line is v(t) = t2 + 3t − 10…

Q: Consider surface S of the cone S : z = 2/a2+ y² at the point P(1, , V5). (a) Determine the vector…

A:

Q: Consider the following figure in which the larger square is a dilation of the smaller square. 6. 4.…

A:

Q: If all fruit bearing plants are flowering plants, and all flowering plants attracti nsects. Which of…

A:

Q: cotlog (1 – 4i)

A:

Q: Solve the following initial value problem (IVP) of y" – 3y – 10y = 2 %3D where y(0) = 2 %3D and y'…

A:

Q: What is the volume of the solid formed by revolving the region bounded by the graphs of a2 = 9y and…

A:

Q: Problem 12.1.6. Show that each of the following sets countable. (a) {2,3, 4, 5, ...} = {n}2 (b) {0,…

A:

Q: 22 Describe how we would prepare the following 22 solutions: (a) 250 mL of a 3.6% w/v solution of…

A: (a) Given  Volume of thesolution to be prepared = 250 mL Concentration of solution in water to be…

Q: L[3t³e=3t] а.

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

Q: #1) Make a table of the nonzero remainders b mod 5 vs. their squares b^2 reduced (also to a…

A:

Q: 3 2(5 + V4i) i=0

A: Given series is ∑i=135 + 4i

Q: matix for a game is given by 2 -3 Compute the expected payoffs of the game for the pairs of…

A: Given : The payoff matrix 2-3-31

Q: In an animal sanctuary, it takes 44 kg of meat per year to feed 4 dogs. How many kg of annual meat…

A:

Q: The count in a bacteria culture was 400 after 10 minutes and 1100 after 30 minutes. Assuming the…

A:

Q: Use X = eAtC to find the general solution of the given system. 0 0 0 5 00 X X' = 810 X(t) = %3D

A:

Q: What is the area of the region bounded by the graph of r = 4sind? Choose two (2) correct answers. 67…

A: what is the area of the region bounded by the graph  of r = 4sin(θ)

Q: graph complete? Select the correct choice below and, if necessary, fill in the answer box to…

A: In this question, the concept of graph theory is applied. Graph Theory In the domain of mathematics…

Q: the form of the transforms found for the functions above, state what form (c) Find the roots of the…

A: Here, we are given the following differential equation.         16d2ydt2+8dydt+145y=0, y=2, dydt=0…

Q: Prove that for a diagonalisable square matrix A, the determinant is the product of the eigenvalues…

A:

Q: Determine whether the following functions have an absolute maximum or mini- mum. Find those values…

A:

Q: Solve the initial value problem y"-6y'+9y=D0 for y(0)=1 and y'(0)=3. After getting the particular…

A:

Q: D. Find the solutions of the equation z -1= 0. Plot the answers on an Argand diagram.

A: We have given equation z6-1=0. We have to solve given equation and draw the argand diagram.

Q: an exampie ога ротупоп Of nignest or spo will integrate exactly. Recall that the order of a…

A: