Verify that the points are vertices of a parallelogram and find its area A(2,-3,1) B(6,5,-1) C(7,2,2) D(3,-6,4)

Q: Using geometry, calculate the volume of the solid under z = 49 – a2 – y? and over the circular disk ...

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Q: A circle has an equation of 22 +y? = 48. Compute the common area between the circle 2? + y? = 48 and...

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Q: f(t) (3cos 6t 5 sin 6t) | %3D

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Q: An interest-bearing note for 118 days at 6.4% p.a. simple interest has a face value of $4053. If the...

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Q: A 500-pound boat sits on a ramp inclined at 45°. What is the force required to keep the boat from ro...

A: This is a problem of vector calculus.

Q: Find the general solution of * y" - 3y' + 2y = 2x² + 1 %3D

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Q: mine the direction in which ƒ has maximum rate of increase from P. S(x, y, z) = x²y/z, P=(-1,2,16) e...

A: Given, fx,y,z=x2yz at Point P-1,2,16 The directional derivative is used to determine the direction a...

Q: Are the integers closed under division? Choose the correct answer below. No Yes

A: Given that  Are the integers closed under division. 

Q: A regular hexagonal pyramid with base edges s is inscribed in a right circular cone of radius r and ...

A: A regular hexagonal pyramid that has a hexagonal base, that is, base with six equal sides and 6 tria...

Q: 5. Compute either the LHS or RHS for the following integral. Draw the representative rectangles. Sa+...

A: The right hand sum(RHS) uses the right endpoints of the subintervals to approximate the integral ∫ab...

Q: Question 78 Which of the ff. graph degree sequence/s does a possible graph exists? О 5.3. 3, 3, 3.3 ...

A: Here in this question we have given some degree sequence of graph and we have asked that which degre...

Q: 64. The accompanying tableau represents the shippir costs and supply-and-demand constraints for supp...

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to...

Q: Graph the ZZO and' say what it is called. Surfacc =16-4x -y=

A: A scalar function f(x,y) is a rule that is used to associate a number with a particular point (x,y) ...

Q: - 15 9. 9 -6 -9- 12 -3 3.

A: Given matrix is -150339-612-36 Take A= -150339-612-36

Q: 10. 2x radians Example -135 (OD) Exercise 2 Directions Complete the degree and radian measures of th...

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Q: In the diagram below, chord AB and FE of circles with centre O are produced to 3.4 points C and D. B...

A: Given that AB and FE are chords of a circle with centre O. The chords AB and FE are produced to poin...

Q: 20 miles per hour

A: Here we start the answer. 

Q: Prove that i

A: To prove that if (ab)2=a2b2 in a group, then ab=ba.          

Q: Let p1, p2, p3 denote three distinct prime numbers, and set n = P1P2P3. Show that if a congruence cl...

A: As per the question we have to show that the non-invertible & non-zero congruence class [a]n mus...

Q: dx As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t secon...

A: Properties of derivative  ddxxn=nxn-1ddxcf(x)=cddxf(x) Properties of integration  ∫1xdx=lnx∫af(x)dx=...

Q: Determine the Fourier series of the following a. f(t)=t3 (-<t<a), f{t)=f(t+2.7) f(t)%=f(t+2x) а.

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Q: 2. La función f(t) =|1- está definida solo en el intervalo finito 0 <t<T. a) Definir F(t) como una e...

A: A function F(t) is odd, if F(t)=-F(-t)

Q: Solve the initial-value problem: y" – 2y" + y' = 2 – 24e* + 40e 5x 13 y(0) = y'(0) = y"(0) = a. (i) ...

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Q: Find U35

A: We have to find the elements of the group U35. We know that U35 is a group with respect to the opera...

Q: Determine whether the initial value problem y′ = cos(t + y), y(t_0) = y_0 has a unique solution defi...

A: This is a problem of IVP.

Q: In an unlimited environment, there are 100 E-Coli bacteria at time = 0. Suppose the average birth ra...

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Q: 2. It takes 12 minutes for an object at 1000C to cool to 800C in a room at 50oC. HóW muCH IOngei Wil...

A: We will solve the Q3 as mentioned. Given that the initial temperature at t=0, of thermometer is T0=1...

Q: Integrate the following function both analytically and numerically. For the numerical evaluations us...

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Q: SOLVE THE PROBLEM AND SHOW COMPLETE SOLUTION please solve the 2 question 1. Five times the square o...

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Q: 2y dy 4. dx

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Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 ...

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Q: (b) In the direction toward the point 14. f(x.y) sin x cos y, P 3D (a) In the direction of v (1, 1)....

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Q: c) Find the saddle point for the game having the following payoff table. Player B Strategy 3 5 6. 12...

A: We Know that  Definition of minimax principle : It is principle of choice for a decision problem: on...

Q: Find the products AB and BA to determine whether B is the multiplicative inverse of A. 3 4 A= 0 4 - ...

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Q: Agnes is 8 years older than Angel. What are their present ages if in 6 years the sum of their ages i...

A: Please find attachment for the details solution

Q: Solve the recurrence relation below. Follow the technique shown in lecture where we expand the recur...

A: There are many methods for solving recurrence relation. If the recurrence relation is homogeneous, t...

Q: A hamilton circuit exists in the ff. graph: O False O True

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Q: The Lotka-Volterra model is often used to characterize predator-prey interactions. For example, if R...

A: We are given the following. R is the population of rabbits (which reproduce autocatalytically). G ...

Q: 2. What value of k would make the following piecewise function continuous? Explain your steps. S(x) ...

A: Given function is fx=−x2+k, x&lt;510x−3,  x≥5. We have to find the value of k for which given functi...

Q: Fend he maxèmem and minimem Values 2

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Q: 22" is O(2"). O False O True

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Q: 2. Aygabe a) -1 3x 3 A = -1 -1 Determine A1 X = 0.

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Q: Question 83 What type of graph is represented by the ff. adjacency matrix? 3. 0. 2 1 3 0. 0. 3. 0. O...

A: given an adjacency matrix and we have to see what graph does it represent. I have provided solution ...

Q: Given the following premises: (1)~pvs (2)s→~r (3)rvq Prove pq using a conditional world proof.

A: We prove by using rules of inference.

Q: а. less than or equal to b. greater than C. less than d. not equal to е. greater than or equal to VI...

A: The inequalities are represented using the inequality symbols such as &lt;, &gt;, ≤, ≥.

Q: How many distinct unlabeled simple graphs on five nodes with equal to or less than five edges? 0 12 ...

A: The given question is related with graph theory. Here we have to find the number of distinct unlabel...

Q: Find the general solution of the difference equation

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Q: Find the radiel of Cervature tor the Cerwe

A: The solution is given as  

Q: Construct the truth tables for the following compound prepositions. b. (u V w) ^ ~ w

A: We write "T" for true and "F" for false in the truth table.

Q: Question 16 PArqvris O Contradiction O None of the choices O Contingency O Tautology O Not WFF

A: Given statement is, p∧¬r↔q∨r. Make the truth table, which is given below pqr¬rp∧¬rq∨rp∧¬r↔q∨rTTTFFTF...