If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det (3BTC-1A-¹CT) = 0

Q: dy Q5: Find for the following functions: (3) y = ex.sin² x In√x

A: We can solve this as follows:

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A: Please see the below picture for detailed solution.

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A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: ddw? dt (C): If w = tan x and x = 4t³ + t ; Find

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

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Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: 7. f* (x² + 8) & dx CO (³ (x-1)

A: We have to solve integral

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Find the limit. lim (x,y) → (5, 1) ety Discuss the continuity of the function. O continuous…

A: See this solution in below

Q: 3. 2 洲 dx

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A: We have to find out equation of tangent

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Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: 15,0-20³²4 2. 3. चं 5. T cos 2x dx sin(³) cos²( :-) / dx 2x - 1 4x dx dx 6. 7. [² (x² + 0²³) dx (x -…

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Q: Let r(t) = (3t², 6, 2t). Find the curvature when t = 0.

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A: Accerelation vector  a(t)= 6i +9k  v(0)=3j and r(0)=0  Find  Velocity, position vector .

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Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: Which of the following describes the graph of h(x) = −3(x − 1)²(x + 1)²(x + 2)? O-12 O -10 -0 -4 -12…

A: see below the answer and explanation

Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: Determine the slant asymptote of the rational function f(x) - Oy=5x-9 Oy = 5x + 9 Oy=5x-1 Oy= 5x + 1…

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Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

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

Q: s 32x² (x-15) (x+5)² dx I

A: Integral

Q: (B): If A = 2i + 3j - 4k; B = 3i - 4j + 5k and C = i + j - k, find: (ii)B.C (iii)A. (B+C)and (A+B).C…

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Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: Solution

Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: For the given function, find all values of cover the interval (1.15) stipulated by Rolle's Theorem…

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Q: 12. x² sin(x + y) = 1, -

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Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

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Q: Initial speed is not 98 ft/s. What is the initial speed

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). Adding the vectors, find 2AB+3AC.

A: To find 2AB +3 AC