What is the constant to make the functions linearly dependent? 3t2 + 12t – 5 12 – 16t – 4t²

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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Q: Which equation represents a linear function? 4 +1 A %3D B y = = x² +2 (c) y = Vx + 1 Ov= Dy = 3

A: Given : A) y = 4x+1B) y = x2+2C) y = x+13D) y = -23x-12

Q: What is the linear function equation that best fits the data sel? 15 14 13 ০ । = 2-1 12+ 11+ Oý-z+1…

A: Identify the coordinates of the points in the graph, and tabulate the x, y values. Calculate the…

Q: 2. Select all of the equations that represent linear functions. Ay I By 2x |3D Cy = 22 2 DY Ey %3D…

A: To find:- Select all options that represents linear function

Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: 3. Circle the letter next to each equation if it represents a linear function. A В C 2x + 4y = 16 y…

A: We will first produce the standard form of a linear function

Q: (b) Using linearization, approximate f(-0.1, 1.8).

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Q: f(x,y)=x² +y° +3xr² – 3y² –8

A: Given f(x,y)=x3+y3+3x2-3y2-8To find critical points, we first compute∂f∂x and ∂f∂y  ,…

Q: f(t)f(t – t)dt = 6t³

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Q2:- Find the maximum value of the function f(x,y) 49-x-y? on the line x+ 3y = 10. %3D

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Q: Which equation represents a function that is not linear? 2 (3x + 5) O y 7x By = 3x + 52 3 (4 3x) y =…

A: which equation represent a function which is not linear

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

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Q: Find the point on the line 3x + 4y – 6 = 0 which is closest to the point (-5, 2). Part 1: Write y as…

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Q: Find the linear function that is the best fit for the data. 1 3 7 y 2 5 11 14 ..... What is the…

A: Given that:

Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

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Q: 8. Which of the functions below is NOT linear? A. y = 2x B. y = 2x + 1 C. y = 2(x+ 1) D. y = 2x2 + 1

A: A function is said to be linear when the power of the variables in the function is not more than…

Q: Which equation represents a nonlinear function? Ay=-3x +1 By= x+1 c y = +1 cy- %3D Dy = 2x + 2

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Q: f(x, y)=√x² + y², y = 1², x = t

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Q: -2 Write the equation for the linear approximation of g(x) = In(vr² +5) based at x =-2. Justify your…

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Q: x(t) = (e-tcos2t – 5e-24)u(t) +,e²tu(-t) %3D 2

A: Given: xt=e-t cos 2t -5e-2tut+π2e2tu-t

Q: The mean of X= 20 and the IQR of X = 2. The variable X is linearly transformed such that Xnew = a +…

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Q: Eliminate the arbitrary constant. y=Ax³+Bx³ (A B 7xy" - x²y + 15y = 0 D x²y '- 7xy" + 15y = 0 Cx²y"…

A: To find- Eliminate the arbitrary constant. y = Ax5 + Bx3

Q: 5. Which equation best represents the linear function formed by the table? y 5.5 4 8.5 6. 11.5 8.…

A: The equation of a straight line is: y=mx+c Now, at x=2, y=5.5 so,  2m+c=5.5      (1) At x=4, y=8.5…

Q: Write the linear equation that gives the rule for this table. f(x) 4 8 10 6. 12 7 14 Write your…

A: Below is the solution:

Q: t- 2 dt t2+3t-18

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Q: 19 Which equation represents a function that is not linear? 2 (3x + 5) 7x A y B y = 3x + 52 3 (4 –…

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Q: Solve V²u = 0, a <r < b, 0 < 0 < 27, Ur (a, 0) = f (0), u, (b, 0) = g (0), 0<0< 2m, where f ds + %3D…

A: We will use the boundary conditions and the orthogonality of the sin(nθ) , cos(nθ) functions for  θ…

Q: 5.) y = x3 + 1, y = 0, x = 1 around the a axis.

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Q: There is 1 in. of water in a pool. The water level is increasing at 0.75 in/min. Which linear…

A: Increasing rate of water level = 0.75 in. / min  In 1 minute water level increases = 0.75 in. In x…

Q: Find the linearization L (x, y) of the function f (x, y) = V101 – 4x2 – 9y? at (-2,-3). L (x, y) =…

A: In the question it is asked to linearize the function f(x, y)= 101-4x2-9y2 at (-2.-3).

Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

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Q: An automobile costs $20000 when sold brand new and depreciates at a rate of 10% per year. Which of…

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Q: f(u) — (4и + 5)(7uз — 2и) 4 b. h(t) = - a. %3D f(2) = -6z3- 2: C.

A: 1) f(u)=(4u+5)(7u3-2u)      =28u4+35u3-8u2-10udduf(u)=28×4u3+35×3u2-8×2u-10        [ddxxn=nxn-1]…

Q: 30. What is the y intercept of the linear function shown? (0, –4) b. (-4,0) с. (2,0) d. (0,2) а.

A: Given query is to find the y intercept if the line.

Q: f (z) = VE g (z) = V5x - 4 %3D

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Q: Which equation is a linear function? Ay= 3x+1

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Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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Q: Parameterize the following curve 9x 9x^2 + 4y^2 = 32y -54x-109

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Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1, ) (1.).) Oy= - 2 y= - +1 Oy=…

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Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: 8.F.1 (8) • Complete the input-ouput table for the linear equation y 4x + 2. 22 10 62 20 hp

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Q: ii. Now, find the equation of a linear function through the points (2, ) and (, 8). 73 y =

A: Equation

Q: Decide whether it is possible to solve the equations xu? + yzv + x²z .xyv³ + 2zu -- u?v² = 2 for (u,…

A: 3.7 Given equations are xu2+yzv+x2z=3xyv3+2zu-u2v2=2 The points are  (x, y, z)≈(1, 1, 1) and  (u,…

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2…

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Q: Is there a value for the empty cell that makes the table describe a linear function? Explain. x…

A: Consider the table: The standard linear function is given by the formulas, y=mx+b…

Q: 2s -5t f(s,t) = %3D 4s +t %3D f =

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: t2+t3+1 B. f(t) = %3D t4

A: We find derivative of given function

Q: Give linearly independent functions that are annihilated by: D5 (D- 2) (D + 3) D2(D2 – 2D + 10)

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Q: 29. What is the x intercept of the linear function shown? а. (0, —4) b. (-4,0) с. (2, 0) d. (0, 2)

A: I am attaching image so that you understand each and every step.

Q: The table represents linear Function F. y 4 18 6. 24 10 36 The equation y=4x+ 2 represents Function…

A: Finding eqn. of F(x):slope(m) = y2-y1x2-x1 =24-186-4 = 62 = 3y =3x +cfinding value of c by putting…