Determine the area below y = 3 + 2x - x² and above the x-axis

Q: Find the extreme values of the function f(x) = (x² + 2x)³ on the interval [-2, 1].

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Q: What are the fourth roots of -3 + 3√//3i?

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Q: x³-y³ Determine whether the function z = g(x, y) = x² + y² (why or why not) for for (x, y) = (0,0)…

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Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: Determine the area below y = 3 + 2x - x² and above the x-axis

A: You must have an idea about how to use definite integral to get the area of any bounded region.

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Q: 5 n=1 (n-1)! (n + 2)!

A: We can say that if sum of the series is finite then the series is converge.

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A: Given

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Q: Q1/ Solve partial differential equations д2u 1- =+2 Әхду Х

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Q: x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

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Q: Given z=x²y+3xy4, x=sin(2t), y=cos(t), find dz/dt when t=0

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: Complete the parametric equations for the line where the planes - 7x + y + 3x = 3 and 4x7y + z = 23…

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Q: √√3 ल dx 1 + x 2

A: The given integral is 1/(1+x2) limit from sqrt(3) to sqrt(3)/3.

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: TE 2 1² sinº x cos² x dx 0

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 2(x² −…

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Q: Get a similar question = y = 5√x. and the change in y, Ay when x = 2 and Ax = 0.2 nd the…

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Q: 3x + 1 Evaluate (x-1) (x+2) dx using Partial fractions.

A: This question can b solved using the concept of partial fractions.

Q: VIP 2 = √ Бхутуг П , Ө от 58 x = CS 0 ) y = Sine -

A: Topic:- application of derivatives

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Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: The height of a certain amusement park ride follows the function h(t) = −³+ 11t² — 32t + 28, where…

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

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Q: Q1/ Solve the following differential equation then check the result dy +² - x² = 2xy -- dx Ans./y =…

A: Given problem:-

Q: Pls help ASAP

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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: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: 5 ;ㅣ

A: We have to find first four terms of give series.

Q: Find the Volume: Rotate the region bounded by y = √x, y = 3 and the y-axis about the y-axis

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Q: Using the given geometric sequence find a7 3,0.3,0.03,0.003 a7____

A: topic- geometric sequence