Let V be any vector space. Let c be in R and x be in V. Prove the following. (a) If c 0 and cx = (b) If x #0 and cx = 0, then x = = 0. = 0, then c = 0.

Q: 102 0 Xe Sin (3x) dx

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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A: formula used FV = PMT ( 1 + rk )kt - 1rkGiven PMT = 75 r = 0.035 t= 15 k =1 for compounded monthly

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A: we will find the required.

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Q: Evaluate the following limits (a) lim 2x³+(10+2)x²+(-4)x-2(10) x²+x-2

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Give the equations of any vertical asymptoter

A: Topic:- calculus

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Q: Fill in the table using this function rule. f(x)=√x-8 Simplify your answers as much as possible.…

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Q: Suppose that u,v V, where V is a real vector space such that u|| = 3, ||u+v|| = 5 and ||v|| = 3. is…

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Q: The volume of a rectangular prism is given by the relation V= 2x³ + 14x² + 24x a) Determine…

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Q: Find the second derivatives, f"(x) of O a) b) f(x) = 2x² + e²² F"(x) = 2e² (4x²+4) F"(x) = 4+e²²(x²…

A: dxndx=nxn-1dexdx=exd dx(a.b)=a.dbdx+b.dadxf(x)=2x2+ex2

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A: Given: Initial price of the share=$40 Final price of the share=$50

Q: Use the given graph to answer the question. 6 5 4 321 2- 1- -7 -6 -5 -4 -3 -2 -1. 1₁. 4234 -2 -3-…

A: We know  Slope of line passing through two points x1,y1 and x2,y2⇒m=y2-y1x2-x1

Q: Find y as a function of x if y(1) = 1, y'(1) = 4. y = x²y"-7xy' + 16y=x6,

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Q: is the minimum number of x-intercepts that a polynomial of degree 9 can have? Explain. minimum…

A: Topic:- polynomial

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A: Given functionA( t ) = 100e0.0318t

Q: ivide. 6) 8x3 - 14x2 + 18x + 3 4x - 3

A: Given query is to simplify the expression.

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Q: The formula p=2l + 2w is used to calculate the perimeter, p, of a rectangle. Length is reperesented…

A: given, perimeter(p)=2l+2wwhere l and w are length and width given p=210 cm and l=20

Q: I built a ‘sword’ out of 4 cardboard tubes that were each 1/3 of a foot in length. My brother cut…

A: given  length of each tube =13 foot   number of tubes used =4 so  total length of sword=(length of…

Q: Solve the following Initial Value Problems a) x2 = y(1-x); y(-1) = -1. dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: 491. x ³x4 -3 492. 56 58 493. (47a¹86235) 0 494. 4-¹ -1

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Q: ) Use the Gaussian-Jordan Method to solve the following matrix 2 0 0 1 2 2 2 1-1. 1 0 l1

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Q: ind the quotient for 2m*+6m³-15m³ +27 m-5 using the synthetic division

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Q: Identify the corresponding terms in each expression 1. 7a 2. 3x² +1 3. 10a+b 4. 25m²+10m 5. 40xy+11…

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A: Topic:- algebra

Q: Fill in the table using this function rule. f(x)-√4-x Simplify your answers as much as possible.…

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Q: 636 mm 444 mm The picture above is of an ice cream cone. The cone is filled with ice cream and there…

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A: Given query is to find the number to make the expression perfect square.

Q: Find the quotient for 14x^2+31x+6/2x+5 using long division. Indicate the quotient with any…

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Q: Choose any that is a subset of the set S={10, Ø,{[Ø]}} {0} □ {{Ø), 10) {{Ø}}

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Q: Find the determinant and inverse of the matrix A 1000000000 20 000000 0 2 3000000 () 2 3 4 00000 0…

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Q: Challenge Problems: Solve the system of equations using elim -9x + y = 29 - 4x + 2y = 2

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Q: Select the equivalent expression. 2-7.55)² =? Choose 1 answer: A 2-5.57 B 2-7.510

A: Given query is to find the equivalent expression.

Q: A catering service offers 7 appetizers, 11 main courses, and 7 desserts. A banquet committee is to…

A: Given query is to find the number of ways to select indicated offer.

Q: Determine the equation of the polynomial that pass though the following points: X Y 0 5 1 8 2 7 3 6…

A: We have to find the equation of polynomial.