Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back-substitution. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x, y, and z in terms of the parameter a.) x + 2y 2z = -27 0 4y + 2z = -x + y - z = -3 (x, y, z)=( X

Q: Find the derivative of f(x) = (8x — 9) ƒ'(x) = 10 Simplify as much as possible.

A: f(x)=(8x-9)-107

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A: We have to find the area of the region inside one leaf of the three-leaved rose.

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

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Q: Consider the system of differential equations x₁ = 10/3x₁ +4/3x2 x2 = 8/3x₁ +14/3x2 9 where x1 and…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y = 9+ cos(4t). NOTE: Use C1,…

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Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the function,fx=x2+2xx≤14-x1<x<3x-3x≥3

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Q: The position of a car traveling along a highway is given by the function s(t) = 2t² - 6t+ 3 where t…

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Q: calculus

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Q: Find the indicated value of the function f(x,y,z)=2x-7y + 4z³ -7. f(6, -5,3) f(6, -5,3)=

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Q: Express your final answer at least three (3)decimal places. The population of a townin…

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Q: A decreasing derivative f'(x) corresponds to a concave down function f. On which interval(s) is f…

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Q: Question vector equation a) Let C be a curve defined by the r(t)= . 473 Show that the point P(-5,…

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Q: b) following function is defined Determine the point(s) where the g(x, y) = -(x − 7)² In²(y +…

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Q: Given parametric equations and parameter intervals for the motion of a particle in the xy-plane…

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Q: Find the solution of the given initial value problem: y(4) + 2y"+y = 3t+8; y(0) = y'(0) = 0, y"(0) =…

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Q: Find the polar coordinates, 0≤0<2r and r≤0, of the following points given in Cartesian coordinates.…

A: We know that conversion of cartesian co-ordinates to polar co-ordinates, r=x2+y2θ=tan-1(yx)

Q: 2 (sin x cos x + x) + C - 2 (sin x cos x + x) + C (sin x cos x + x) + C -(sin x cos x + x) + C [(cos…

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Q: Evaluate (for x>0) 3√x dt d dx A 2 1+t²

A: Given :ddx∫0x3dt1+t2

Q: Find fxx fxy, fyx and fyy, for the following function. (Remember, fx means to differentiate with…

A: The objective of the question is determine the second order partial derivative.

Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: A particle moves along a straight path with velocity of v(t) = (4-4t) m/s at time t seconds. What is…

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Q: Hifferential equation y" + 2y + y = 21e-t.

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Q: Consider the function f(x)=√x+1-5 for the domain [- Find f(x), where f¹ is the inverse of f. Also…

A: NOTE: Refresh your page if you can't see any equations. . substitute y for f(x)

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Q: Find c such that f(c) equals the average value of f(x) = 4x + 6 over [-7, -2]. Provide your answer…

A: Given: f(x)=4x+6

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Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ x/q = pla and limx→ck = k. (Use…

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Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

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Q: cosh(In2)= A B C D 5 4 0 Alw Some other answer

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given that , fx,y,z=x2+y2+z2 and constraint is x+y+z-27=0 find the extrema using Lagrange…

Q: Use partial fractions to find 6x²+34x-7 x³+7x² 6x²+34x-7 x³+7x² 6x²+34x-7 x³ +7x² S6x² + 6x²+34x-7…

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Q: 5. dx y?. dy + 2xy = sin y,x(n) = 1

A: As per the rules we are supposed to answer only first question and rest can be reposted.

Q: dy (1M1) Find dx 70x9 1+ 5x = sin(xcy²) I

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Q: A share valued at $263.75 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: calculate the end of quarter

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A: Given the functionfx=x2+2xx≤14-x1&lt;x&lt;3x-3x≥3we discuss about the discontinuity of the…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

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Q: Alexandra invested $1,100 at the end of every month into an investment fund that was earning…

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Q: (a) Give the definition of line integral of a vector field over a path. (b) Compute the line…

A: Use line integral concept

Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

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