In a mechanical system, acceleration a, velocity v, and distance S, are related by the simultaneous equations: 4.8a + 6.5v - 12.6S = -13.9 5.2a 3.6v+4.7S = 6.8 -3.3a + 6.4v - 8.7S = 13.5 Find the values of a, v and S using: (c) Cramer's rule

Q: 1. Find the extreme values of f(x, y) = x² + y² – 8x – 6y subject to the domain given in the figure ...

A: Given that fx,y=x2+y2-8x-6y First we have to find the extreme point on the domain given in the figur...

Q: I Fnd the polnt of intersection of the following lines and graph them 2r+3y=6 and x-y-3

A: Let us find the point of intersection of the given lines in the next steps.

Q: Find the smallest n such that d(n) = 30. Answer is 720

A: Given: d(n) = 30, that is, the number of factors of n is 30.We have to find the smallest n.

Q: Find the present value of an ordinary annnuity whose semiannual deposit is ₱12,000 at 5% compounded ...

A: Given information Periodic payment P=$12,000 Rate of interest r=5% compounded semiannually ⇒r=5100=0...

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Q: $25

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Q: Choose a u-substitution and rewrite the integral in terms of u: 7 dx 9- 25x2 7 du 50 Vu du O -350 7 ...

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Q: Craig, Daniel and Edward shared an amount of money. Craig took 1/3 of the total amount of money. Dan...

A: Here total money they have is $ 360Since Craig took 13 of the total money so Craig has 13 × $360 = $...

Q: 4. We have seen in lectures that the differentiation of a function given by valid power series expan...

A: If limn→∞ |an+1an|=Lwhere L is a positive real number or L=0 or L=∞, then the power series ∑n=0∞an(x...

Q: QUESTION 3 Consider the following sets A = {1, 2, 3, 4, 5 } and B= {x, y, z} Find the Cartesian Prod...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: No handwritten solution. Only prove it on MS WORD and send the screenshot. (iii) p a T(g a r) v (p →...

A: Given: p∧¬q∧r∨p→q

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A: We will use the fact if the eugen values of a matrix are distinct then the matrix is diagonalizable.

Q: B.-5+3x 16

A: Given: -5+3x=16

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Q: Find the Laplace Transform 3.f(t)=e'cos2t

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Q: 7. Determine the type of the graph in Fig.4. a) multigraph b) simple directed graph c) mixed graph d...

A: A Directed graph may have multiple directed edges from a vertex to a second (possibly the same) vert...

Q: 4) Find the interval of convergence for the power series F(-1)"-'n 2" t. n=1

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Q: Let z1 = 1+5i , z2 = 4 – 2i , and z3 = 1+ 3i . %3D Evaluate: Z1 22 + 23 · 21-2 Express final answer ...

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Q: B_A* UI

A: We have to find relation between set B and A.

Q: 3 Let matrix A = 1 12 (a) Find elementary matrices E,,.., E, such that E,E, A= 1. Write your answer ...

A:

Q: 3. Convert the polar equation to a rectangular equation. r = 64

A: Given,             r = 64 We have to convert the polar equation to a rectangular equation. 

Q: A18.3 Note that if A and B are two diagonal matrices then AB = BA. Give an example of 2 x 2 matrices...

A: .

Q: SI Find the point of intersection of the following lines and groph them. 2r+3y=6 and x-y=)

A:

Q: 1. Which of the following equations represents a quadratic function? A. y 3+2x? B. 2y2 + 3=x C. y 3x...

A: q-1 which of the following equations represents a quadratic function? A) y=3+2x2  B) 2y2+3=x C) y=3x...

Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

A:

Q: 3. Let T(m, n) = T(m,n) where a] means æ rounded down. What is T(5 · 10, 10 - 10°)? Enter answer her...

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Q: If a and b are two integers such that a = bq +r, with b> 0, then %3D gcd(a, b) # gcd(b,r) gcd(a, b) ...

A: Let a = bq + r   … (1)Now,  let d1   = gcd ( a,b) then ⇒d1  | a  and   d1  | b ⇒d1 | a - bq   and d1...

Q: d'y dt? dy - +6y = 21° –t +3 ; y(0)=1, dy -(0) = 2 dt -5 %3| dt

A: At first, we have to find the complete primitive (C.F.) and then we find the particular integral (P....

Q: Consider defined What that it functic of rec c) Define

A: Given f (x) = x2-1x2 - 1=1,  x<-1 , x>1-1,  -1< x < 1a) Domain of f is R- {-1,1}

Q: The cube of any integer may has the form: 9k + 6 O This option All of the choices O This option 9k +...

A: As per Euclid's division lemma, for two integers a and b there exist two unique integers q and r suc...

Q: 4. Find the change-of-coordinates matrix from basis B to basis C. e-{E} -3 4 B = C =

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Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

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Q: Determine the intervals for the following senies converaence n-1 () (5x)"

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Q: For which of the following integrals would partial fraction decomposition be an appropriate method o...

A: We have,∫2x+1x2-9x+18dx=∫2x+1x2-3x-6x+18dx=∫2x+1xx-3-6x-3dx=∫2x+1x-3x-6dx

Q: Identify the next step you would take to 1 integrate: 0. dx o v1-x .1 lim dx /1-x a+0- 1 lim dx a V1...

A: .

Q: The volume of a cube is growing at a rate of 2 in3/min. Determine the rate at which the surface of t...

A: Given:The volume of a cube is growing at a rate of 2 in3/min, that is dVdt=2 in3/min, where V is the...

Q: solve the given initial-value problem ydx/dy-x=4y^2 , x(8)=1

A: solve the given initial-value problem ydx/dy-x=4y^2 , x(8)=1

Q: Fig.1 Fig.2 Fig.3 Fig.4 Fig.5 vs

A: figure 1 contains 12 edges figure 2 contains 13 edges

Q: B_C* UI

A: Given A = {2, 3, 4, 5, 6, 7}, B = {2, 4, 7, 8}, C = {2, 4}. Fill in the blanks by ⊆ or ⊈ to make the...

Q: 1(1(p → q) a r)

A: we have to solve ¬(¬(p↔q)∧r) Now  (p↔q) =(p→q)∧(q→p) and (p→q)=¬p∨q ⇒(p↔q) = (¬p∨q)∧(¬q∨p)

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Q: Fernando has $6,600 to invest in a saving account. He receives a steady interest rate of 3.00% compu...

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Q: How many times must l'hôpital's rule be applied to evaluate ex - e-X – 2x lim X + 0 X- sinx

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Q: Ninety people at a Superbowl party were surveyed to see what they ate while watching the game. The f...

A: Venn diagram is also called as Euler's Venn diagram. It is a diagrammatic representation of set.

Q: Example 1b In polar form, write out řAB A 2.5 m В C D X. 2 m 1.5 m

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Q: Perform the operation {1, 8, 7, 5, 6, 5, 5} – {5, 1, 7, 7, 6} * a. {1, 8, 7, 5, 6} b. {1, 7, 5, 6} c...

A: Given two sets  {1,8,7,5,6,5,5} and the second set is {5,1,7,7,6} To perform the subtraction of the ...

Q: 8. ne function f is defined as f (x)= -4x+5 ind f (x- 3). Write your answer without parentheses, and...

A: Given f(x) = 8-4x2+5

Q: If 1 + 4 = 5 2 + 6 = 14 3 + 8 = 27 4 + 9 = 40 Then 5 + 10 = ? a. 89 b. 93 c. 15 d. 55

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Q: of x3 - x - 3 = 0 using If the starting gues ue of the root after %3D

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Q: Use the shell method to set up a definite integral (set up only, do not evaluate the integral) for t...

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