Determine the dimension of the space spanned by the set

Q: Where does the line 2x1 + 3x2 = 4 cross the r2 axis, i.e., x2 intercept? (a) (0, 슬) (b) (0, 클) (c) (...

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Q: Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. Consider converting the fu...

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Q: There are three children in the Skosana family. Each week the eldest earns R270, the middle child ea...

A: The comparison of two numbers  by division is known as the ratio. It is denoted by symbol ":" A rati...

Q: A trader gives a 5% discount for cash payments. What cash discount will he give on a bill of #35,300...

A: The expression: "p% of q" is same as p100×q.

Q: 2 Find an orthogonal basis for the space spanned by 4 and

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Q: Find the function y, of t which is the solution of 49y" + 14y'-35y = 0 with initial conditions Y1 (0...

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Q: Evaluate: Σ-Σi-2(2-1) 5-j (i+1)² 14 j=1Zi=2

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Q: 6.2 ( ) True or False: If A and B are nxn matrices so that det(A) = det(B), then A and B are cousins...

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Q: 62 ( ) True or False: If A and B are nxn matrices so that det(A) = det(B), then A and B are %3D cous...

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Q: Consider the following function S(x) = [1.5 – z(1- 22) + (2.25 – 21(1- 23hr + 12.625 - z(1- a Determ...

A: Given: The function, fx=1.5-x11-x22+2.25-x11-x222+2.625-x11-x232   To determine: The gradients and H...

Q: 90x732

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Q: c) Let g be a decreasing continuous function on [0,1], assuming the values g(0) = 1 and g(1) = 0. Sh...

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Q: Now it's 11:30 p.m. what was the time 9 hours ago

A: Now time is 11:30 pm

Q: For this question, suppose your value function is is vfor gains and vfor losses. Last night, you los...

A: Given: There was a loss of $9 in a bet last night. There was a silver lining: on the way home, $2 wa...

Q: Solve y42-2 cos a yr+1 + Yn 2 cos a yntl + Yn cos an. %3D

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Q: Evaluate: Σ-Σi-2(2-1) 5-j (i+1)² 14 j=1Zi=2

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Q: The range of a cosecant function is (-0,-9U5,0). The equations of two consecutive asymptotes of the ...

A: The range of a cosecant function normally excludes the interval (-1, 1). Yours excludes the interval...

Q: Construct the truth table of each given compound statements for every item. If the truth values of t...

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Q: eigenvector for Ar. 3.4 Determine two basic eigenvectors v and v2 for AT (you do not need to determi...

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Q: Two sets A and B contains a and b elements respectively. If power set of A contains 4 more elements ...

A: Here given that two sets A and B contains a and b elements respectively. and also given that power s...

Q: 4. What is the simple interest on N450 for 4 years at 4'/,% A. N71 B. N81 C. N91 D. N101 E. N111

A: Given information P=N450 R=412%=92% And T=4 years We have to find the simple interest. The formula f...

Q: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

Q: I. Prove the following statements using the indicated proof. 1.) Let r E Z. If r is odd, then (r +3)...

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Q: 7. For A = show that the mapping ada : M2 (R) → M2 (R) defined by ad A (B) AB – BÃ is a linear trans...

A: First we will find the value of AB-BA 

Q: Match each vector field with its graph. ? v 1. F(x, y) = ri + yj ? v 2. Ĥ(x, y) = ri – yj ? v 3. G(x...

A: Vector field of f(x,y)=xi+yj is

Q: Let A be a 3x3 matrix where A2=I3, then det(A) is 1 or -1. Select one: 1-True 2-False

A: To find- Let A be a 3×3 matrix where A2 = I3, then detA is 1 or -1. True False

Q: Convert the given mathematical expressions into its corresponding C++ language expression using the ...

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Q: dw dw at the point (u,v) = dw dw For the functions w= xy + yz + xz, x= 3u + v, y = 3u - v, and z= uv...

A: Solution:-

Q: 4.1 True or False: If A is a 4 x 4 matrix with only one eigenvalue, then A is not diagonalizable.

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Q: Che steps Imear systems of 3. Find the critical points and solve the related phase plane equation fo...

A: Guven system is a non linear system. 

Q: Question 3 Consider the function f(r, y) = 2x + 4y² %3D and the curve y(t) = (sin t, cos t), te (0,2...

A: Introduction: For a given function fx,y and a curve rt=xt,yt, their composition is frt=fxt,yt. The d...

Q: Let u2 M = E R* : u; 2 0 for i = 1, 2, 3, 4 u = U3 U4 Is M a subspace of R*? Justify your answer.

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Q: Determine the Fourier Transform of the following function. -2 <x < 0, 0 <x < 2; Problem 1: f(x) = f(...

A: Since you have asked multiple questions, we will solve the first one for you. If you want any specif...

Q: 2 Find the equation of the line L passing through P(1,1,1), intersecting the line +t0 and perpendicu...

A: We have to find the equation of line which passing through P(1,1,1), intersecting the line x=1+2t, y...

Q: Each vector field shown is the gradient of a function f(x, y). Match the gradient field of each func...

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Q: 1. lim f(x) = 2. lim f(x) = %3D 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) = %3D

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Q: Consider the function f : [0, ∞) → [0, ∞), f(x) = x + 1 Prove by induction that for any n E N %3D f"...

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Q: 65-2 %3D (b) In this part, all lengths are in centimetres. 4-3 4-55 4+V5 S5514+15)-214+ら) 4-155- 6-2...

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Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding |...

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Q: In Utah, it is illegal for a person to drive if their blood alcohol level (BAC) is higher than 0.05....

A: Given that,  it is illegal for a person to drive if their blood alcohol level (BAC) is higher than 0...

Q: Required information NOTE: This multi-part question Once an answer is submitted you will be unable t...

A:   Given code is procedure choose (a,b: integers) x:= either a or b

Q: ndent experiments based on 15 refrigerators of each brand were performed and time taken in formation...

A: Given as, A per protocol, we allowed to answer first three sub parts and post the remaining in the ...

Q: (x-y)2 Show that lim does not exist. (x,y)→(0,0) x²+y2

A: We have to find the limit.

Q: II. Prove the following statements using the Principle of Mathematical Induction (PMI). an+! 1.) Let...

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Q: 3. Consider 20 points where no three or more points lie on a straight line. How many straight lines ...

A: Introduction: From a set of n distinct object, r distinct object can be selected following no repeti...

Q: 3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1-, cost sin t A(t) = 3 -1-sint cos t -1+...

A: Note that you have explicitly written at the top of your question post that you want the solutions o...

Q: 3. Consider the periodic system y' = A(t)y, 3 -1+ cos? t 3 1. - cos t sin t A(t) = 3 -1- sin t cos t...

A: We will solve the first two subparts for you completely and properly for you as per our company poli...

Q: BASIC LEVEL 1. FILL IN THE BLANKS: 1. Division is repeated 2. Divisor x = Dividend (Remainder is Zer...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: The curve y = sin(x) + cos(x) has two points where the tangent line is horizontal on the interval 0s...

A: Tangent line horizontal points

Q: 1. lim f(x)= x2" 2. lim f(x)= X-2 3. lim f(x) = 4. lim f(x) = x-2 X-2 5. lim f(x) =

A: 1. To find the limit as x→2+ is obtained by looking at the graph.