independent

Q: (d) If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x < 1. True False

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

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Q: Vectors [2, 5, a] and [-6, b, 9] are collinear. What is the value of ? a a) 5 b) -3 Oc) -5 d) 3

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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.

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

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Q: 2. A water treatment plant processes gray water at a rate given by r(t) = 16e0.2t million gallons…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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

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Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: V X if x 3 Find each of the following limits, if they exist. If a limit does not exist, answer…

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Q: A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles…

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Q: The displacement of a particle varies with time (t) as at^2-bt^3. the acceleration of the particle…

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Q: (2) Consider the function where a, b are constants. g(t) = if t 1

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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,

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: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: To approximate the given integral using the following rules.

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

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Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

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Q: expand using the binomial theorem. simplify (a+b)^2 (2x^2 -1/x^2)^4

A: solution

Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Find the Volume: Rotate the region bounded by y = 7-x², x=-2 and x = 2 and the x-axis about the…

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Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: The table below shows values for four differentiable functions. Suppose we know the following…

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Q: 10. f cos*x sin x dx 11. (sec² 3x) dx / (tan 3x) 12. Setan 2x sec² 2x dx

A: Topic:- integration  Note:- as per our guideline if more than three subparts posted than only first…

Q: The integrating factor of the differential equation A. cos x B. secx +y tanx - secx = 0 i= C. ecosx…

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Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

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

A: Let's find surface area rotated about x=0.

Q: 4.1 Evaluate the integral [3√x √(3√x - 1 / +5 4 + x² expressions after applying the integration…

A: We have to evaluate the integral

Q: The profit function of Company ABC for a specific product is given by y = x² - 6x² + 9x and 0≤x≤ 2.…

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Q: : @ use suitable linearization to find the approximate value for the Function at point p. f (xy) =…

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Q: # Determine whether the function z = f(x, y) = { (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: Given that f(x): (a) (f+g)(-3) = (b) (fg)(-3) = (c) (fg)(-3)= (d) (4) | ( − 3) = x² 13x and g(x) = x…

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Q: Pls help ASAP

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Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

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

A: Topic:- application of derivatives

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: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

Q: lim 818 sin n+1 n + sin n+2 n + sin n n+3 n +... + sin (2) = cos(1) - cos(2).

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Q: y= 3x + 2 √2x³-1

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Q: 1+1=

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Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: Let u = (a11, a12, a13), v = (a21, a22, a23), w = (a31, a32, a33) be three vectors in R³. Explain,…

A: let  x, y, z  be the non zero  vector that is orthogonal to   u, v and w

Q: .2 2-9 lim x-3 x2 + 2x – 3

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Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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

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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:-