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Ahmet Çelebi

Ahmet Ç.

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Viewed Questions

In the air over a particular region at an altitude of 500 m above the ground, the electric field is 120 N/C directed downward. At 600 m above the ground, the electric field is 100 N/C downward. What is the average volume charge density in the layer of air between these two elevations? Is it positive or negative?

In the air over a particular region at an altitude of 500 m above the ground, the electric field is 120 N/C directed downward. At 600 m above the ground, the electric field is 100 N/C downward. What is the average volume charge density in the layer of air between these two elevations? Is it positive or negative?

Physics for Scientists and Engineers with Modern Physics

A roast turkey is taken from an oven when its temperature has reached $ 185^{\circ}F $ and is placed on a table in a room where the temperature is $ 75^{\circ}F $. The graph shows how the temperature of the turkey decreases and eventually approaches room temperature. By measuring the slope of the tangent, estimate the rate of change of the temperature after an hour.

A roast turkey is taken from an oven when its temperature has reached $ 185^{\circ}F $ and is placed on a table in a room where the temperature is $ 75^{\circ}F $. The graph shows how the temperature of the turkey decreases and eventually approaches room temperature. By measuring the slope of the tangent, estimate the rate of change of the temperature after an hour.

Calculus: Early Transcendentals

Limits and Derivatives

Derivatives and Rates of Change

Questions asked

INSTANT ANSWER

2 (10p). A?a??daki ba?lang?ç de?er probleminin genel çözümünü bularak bu çözümün \( x=2 \) noktas?ndaki de?erini bulunuz. Ba?lang?ç ko?ulu olarak \( y(0)=19 \) al?n?z. (Solve the initial value problem given below with the initial condition \( y(0)=19 \) and find the solution's value at \( x=2) \) : \[ \left(x^{2}+1\right) \frac{d y}{d x}+4 x y=x \] a) \( y(2)=0 \) b) \( y(2)=1 \) c) \( y(2)=2 \) d) \( y(2)=3 \) e) \( y(2)=4 \)

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AWAITING AN EDUCATOR

Let A be a 2×2 matrix which satisfies Av1=2v1 and Av2=v2 where v1=\begin{pmatrix}3\\ \:1\end{pmatrix} v2=\begin{pmatrix}1\\ \:0\end{pmatrix} . If x=\begin{pmatrix}9\\ \:5\end{pmatrix} compute 1th row and 1th column entry of A^3 x

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INSTANT ANSWER

Let the matrix representation of L:R3→R2 with respect to the ordered bases S={v1,v2,v3} and T={w1,w2} be A=\begin{pmatrix}\begin{pmatrix}1&2&1\\ -1&1&0\end{pmatrix}\end{pmatrix} where v1=\begin{pmatrix}-1\\ 1\\ 0\end{pmatrix} v2=\begin{pmatrix}0\\ 1\\ 1\end{pmatrix} v3=\begin{pmatrix}1\\ 0\\ 0\end{pmatrix} w1=\begin{pmatrix}1\\ 2\end{pmatrix} w2=\begin{pmatrix}1\\ -1\end{pmatrix} If v=\begin{pmatrix}4\\ 3\\ -3\end{pmatrix} Compute L(v) .

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ANSWERED

Chasen Shaw verified

Numerade educator

Let A be 2×2 matrix with trace(A)=5 and det(A)=−14 . If eigenvalues of this matrix are λ1 and λ2 such that λ1<λ2 , what is the value of 10λ1 +6λ2 ?

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INSTANT ANSWER

Let \( A=\left[\begin{array}{ccc}1 & 1 & 3 \\ 1 & 2 & 4 \\ 12 & 21 & 45\end{array}\right] \) and \( b=\left[\begin{array}{l}2 \\ 3 \\ a\end{array}\right] \) For what values of \( a \), does the linear system \( A x=b \) have no solution? Türkçe: Hangi \( a \) de?eri için \( A x=b \) sisteminin çözümü yoktur? \( a \neq 18 \) \( a=18 \) \( a \neq 33 \) \( a=33 \) \( a=-33 \) \( a \neq-33 \)

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INSTANT ANSWER

Let \( L \) be the linear operator on \( \mathbb{R}^{2} \) defined by \( L\left(\left[\begin{array}{l}x_{1} \\ x_{2}\end{array}\right]\right)=\left[\begin{array}{c}x_{1}+2 x_{2} \\ 3 x_{1}\end{array}\right] \) i). Find the matrix \( A \) representing \( L \) with respect to \( S=\left\{\left[\begin{array}{l}1 \\ 3\end{array}\right],\left[\begin{array}{l}2 \\ 5\end{array}\right]\right\} \), ii). Find the matrix \( B \) representing \( L \) with respect to \( T=\left\{\left[\begin{array}{l}1 \\ 1\end{array}\right],\left[\begin{array}{l}1 \\ 3\end{array}\right]\right\} \), iii). Find an invertible matrix \( P \) such that \( B=P^{-1} A P . \backslash \) Türkçesi: \( L, \mathbb{R}^{2} \) üzerinde \( L\left(\left[\begin{array}{l}x_{1} \\ x_{2}\end{array}\right]\right)=\left[\begin{array}{c}x_{1}+2 x_{2} \\ 3 x_{1}\end{array}\right] \) ?eklinde tan?mlanan bir lineer dönü?üm olsun: i). \( S=\left\{\left[\begin{array}{l}1 \\ 3\end{array}\right],\left[\begin{array}{l}2 \\ 5\end{array}\right]\right\} \), taban?na göre \( L \) nin temsil matrisi \( A \) y? bulunuz. ii). \( T=\left\{\left[\begin{array}{l}1 \\ 1\end{array}\right],\left[\begin{array}{l}1 \\ 3\end{array}\right]\right\} \), taban?na göre \( L \) nin temsil matrisi \( B \) yi bulunuz. iii). \( B=P^{-1} A P \) sa?layan tersi olan \( P \) matrisini bulunuz. \( A=\left[\begin{array}{cc}-29 & -48 \\ 18 & 30\end{array}\right], B=\left[\begin{array}{cc}3 & 9 \\ 0 & -2\end{array}\right], P=\left[\begin{array}{ll}1 & 0 \\ 2 & 1\end{array}\right] \) \( A=\left[\begin{array}{cc}-29 & -48 \\ 18 & 30\end{array}\right], B=\left[\begin{array}{cc}3 & 1 \\ 1 & -3\end{array}\right], P=\left[\begin{array}{cc}1 & -5 \\ 4 & -1\end{array}\right] \) \( A=\left[\begin{array}{cc}48 & 29 \\ 0 & 4\end{array}\right], B=\left[\begin{array}{cc}28 & -3 \\ 7 & 2\end{array}\right], P=\left[\begin{array}{ll}1 & 3 \\ 0 & 1\end{array}\right] \) \( A=\left[\begin{array}{cc}24 & 3 \\ 14 & 18\end{array}\right], B=\left[\begin{array}{cc}3 & 7 \\ 0 & -7\end{array}\right], P=\left[\begin{array}{ll}2 & 3 \\ 0 & 1\end{array}\right] \) \( A=\left[\begin{array}{cc}-29 & -48 \\ 18 & 30\end{array}\right], B=\left[\begin{array}{cc}3 & 9 \\ 0 & -2\end{array}\right], P=\left[\begin{array}{cc}-3 & 1 \\ 2 & 0\end{array}\right] \)

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RESUBMIT QUESTION

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AWAITING AN EDUCATOR

Let the matrix representation of \( L: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2} \) with respect to the ordered bases \( S=\left\{v_{1}, v_{2}, v_{3}\right\} \) and \( T=\left\{w_{1}, w_{2}\right\} \) be \( A=\left[\begin{array}{ccc}1 & 2 & 1 \\ -1 & 1 & 0\end{array}\right] \), where \( v_{1}=\left[\begin{array}{c}-1 \\ 1 \\ 0\end{array}\right], v_{2}=\left[\begin{array}{l}0 \\ 1 \\ 1\end{array}\right] \), \( v_{3}=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right] \), \( w_{1}=\left[\begin{array}{l}1 \\ 2\end{array}\right] \), \( w_{2}=\left[\begin{array}{c}1 \\ -1\end{array}\right] \). If \( v=\left[\begin{array}{c}4 \\ 3 \\ -3\end{array}\right] \). Compute \( L(v) \) Türkc?e : \( v_{1}=\left[\begin{array}{c}-1 \\ 1 \\ 0\end{array}\right], v_{2}=\left[\begin{array}{l}0 \\ 1 \\ 1\end{array}\right], v_{3}=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right], w_{1}=\left[\begin{array}{l}1 \\ 2\end{array}\right], w_{2}=\left[\begin{array}{c}1 \\ -1\end{array}\right] \) olmak üzere \( L: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2} \) lineer dönü?ümünün \( S=\left\{v_{1}, v_{2}, v_{3}\right\} \) ve \( T=\left\{w_{1}, w_{2}\right\} \) s?ral? tabanlar?na göre matris gösterimi \( A=\left[\begin{array}{ccc}1 & 2 & 1 \\ -1 & 1 & 0\end{array}\right] \), ise \( v=\left[\begin{array}{c}4 \\ 3 \\ -3\end{array}\right] \) için \( L(v) \) yi hesaplay?nz \( L(v)=\left[\begin{array}{c}8 \\ 13\end{array}\right] \) \( L(v)=\left[\begin{array}{c}1 \\ 29\end{array}\right] \) \( L(v)=\left[\begin{array}{c}8 \\ -13\end{array}\right] \) \( L(v)=\left[\begin{array}{c}-1 \\ 29\end{array}\right] \) \( L(v)=\left[\begin{array}{c}7 \\ -1\end{array}\right] \)

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AWAITING AN EDUCATOR

Given the matrix \( A=\left[\begin{array}{lll}1 & 3 & 4 \\ 5 & 2 & 7\end{array}\right] \), transpose of which vector is orthogonal to the row space of \( A \) : \( A=\left[\begin{array}{lll}1 & 3 & 4 \\ 5 & 2 & 7\end{array}\right] \) matrisi verildi?inde, hangi vektörün transpozu \( A^{\prime} \) n?n sat?r uzay?na diktir? \( \left[\begin{array}{lll}1 & 1 & 1\end{array}\right] \) \( \left[\begin{array}{lll}0 & 0 & 1\end{array}\right] \) \( \left[\begin{array}{lll}-1 & 0 & 1\end{array}\right] \) \( \left[\begin{array}{lll}-1 & 0 & 0\end{array}\right] \) \( \left[\begin{array}{lll}-1 & -1 & 1\end{array}\right] \)

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INSTANT ANSWER

Let \( A \) be a \( 6 \times 4 \) matrix such that the system \( A X=0 \) has only trivial solution. Which one of the following is true? \( A \) matrisi \( 6 \times 4 \) tipinde bir matris olup \( A X=0 \) sistemin yaln?zca a?ikar bir çözümü vard?r. A?a??dakilerden hangisi do?rudur? \( \operatorname{rank}(A)=5 \) and \( \|A X\|=0 \) for \( X=0 .(\operatorname{rank}(A)=5 \) ve \( X=0 \) için \( \|A X\|=0 \).) \( \operatorname{rank}(A)=6 \) and \( \|A X\|=0 \) for a nonzero vector \( X .(\operatorname{rank}(A)=6 \) ve s?firdan farkl? bir \( X \) vektörü için \( \|A X\|=0 \).) \( \operatorname{rank}(A)=4 \) and \( \|A X\|=0 \) for a nonzero vector \( X \). \( (\operatorname{rank}(A)=4 \) ve s?f?rdan farkl? bir \( X \) vektörü için \( \|A X\|=0) \) \( \operatorname{rank}(A)=4 \) and \( \|A X\|=0 \) for \( X=0 .(\operatorname{rank}(A)=4 \) ve \( X=0 \) için \( \|A X\|=0 \).) \( \operatorname{rank}(A)=5 \) and \( \|A X\|=0 \) for \( X=0 \). \( (\operatorname{rank}(A)=5 \) ve \( X=0 \) için \( \|A X\|=0 \).)

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