. Find the area bounded by the given curves. y = 9x² and the x - axis.

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A: We can find the answer as below.

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A: we have to find the value of integral ∫-22 4x4  dx

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A: Let's solve diffrential equation by using laplace transform.

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Q: B. Write in Signe Notation 1.-244-3 42 50 times 2. 1 + 9 + 25 + 49 +81 ++ /2/ }} + { + } / + 2/ 23…

A: Let's write given series in sigma notation.

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Q: 3) Simplify the expression ' ( ) + (1)

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Q: 20. Stan² x dx

A: Consider the integral  ∫tan2x dx

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A: The objective of the question is determine elementary product of matrices ,of the given matrix

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Q: 15. f (sec² x) dx / (√(1-4 tan² x))

A: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should be…

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Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: To find the position vector of a particle with given acceleration vector and initial conditions

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Q: 1.If f(x,y) cos(4x-2y)+ln(y² -2x) find £xy fx fxy,

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Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: find the points at which f has a local maximum or a local minimum

A: This question can be solved using the concept of maxima and minima.

Q: Find a plane containing the point (-3,-3,5) and the line x(t) y(t) z(t) = = 8 + 4t -4-6t -7-3t

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: cos(etan 3x) y cos

A: The given function y=cosetan3x

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: 5. Find the vector equation of the line passing through A(4, -3) that is perpendicular to x - 3y + 6…

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Q: Solve step by step in digital format (2 + x)² − 4 d) lím x-0 X 6x² - 3x + 2 e) lím x-0 4x - 3

A: Given, Evaluate,

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A: Given d4ydx4-2d2ydx2+1=0To find solution:

Q: 16. √(16-9x²) dx 17. dx/ (9x² + 4) 18. sin³ x cos x dx 19. f (secs x) dx/csc x 20. Stan² x dx

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Q: If dy dt y. 1 - et and y = 0 when t = 1 find

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: 1+1=

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Q: Evaluate improper integrals if they converge, or 1/7 a) S. 72 de dx shab diverge

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

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Q: 3 M8 n=1 (Inn) 13/2

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Q: Q22) The inverse Laplace transform of H(s) : = a) f(t) ==e¹+¹e²t 8 8 -3 c) f(t) == est +²e-2t 8 8 1…

A: To find the inverse laplace transform of givem function.

Q: False

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Q: Water is poured at a rate of 10 cubic meters per minute into a conical tank 6 meters across the top…

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Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

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Q: Solve step by step in digital fe 6x - 1 a) lím x→ 1/ 2x - 6 b) lím X-00 x² - 9

A: