Deriving the formula for volume generated by revolving the first- 8x and the line x = 2 about = quadrant area bounded by the parabola y² the x - axis using Circular Disk Method will give {A} V = π f² 8x dx {B} V = n(2- y²)dy {C} V = 2π * (v) (2-²) dy {D} V = 2π 2² (√√x) (2 - x) dx

Q: 5) S RIN A) 2 √5 В) Зл dx the correct solution of this integral is:-

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x)= 2x…

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Q: Q5] Find Maclaurin's series f(x) = ev²x.

A: Follow the procedure given below.

Q: 19 18. sin x cos x dx 1-3cos 2x dt 1+ e-t

A: The given integrals are;  19) sinxcosx/(1-3cos2x)  18)1/(1+e-t).

Q: (4-x²) dx

A: SOLUTION-

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Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: Q5] Find Maclaurin's series f(x) = √2x

A: Given :f(x)=e2x

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Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

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Q: (x²-x)dx

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Q: Find the volume of the A =î - 13ĵ+ 4k, B = 3î + 2ĵ-7k and C = î - 2ĵ + 2k. parallelepiped whose…

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Q: xe dx 2 (1+x) ²

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Q: Use a linearization to approximate tan(π/100).

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Q: (b) Which one of the following differential equations can be solved using the substitution approach?…

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Q: Evaluate the integral. 2 x² + x + 1 6²7= Jo (x + 1)²(x + 2) dx

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Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

Q: 5. √√Z+ 2 1 3z dz

A: ∫ zn dz = zn+1n+1+C

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 16 dx +8

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Q: Given the function f(x) = 4x + 3 Find the difference quotient Find f'(x) by determining lim h→0 Find…

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Q: Find the value(s) of k that makes the given function continuous. (-x+2 if x < k f(x) = 4x + 3 if k ≤…

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Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x) = |x-1| In its domain. a. What…

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Q: Prove lim x-a 4x 4a, using the ɛ, 8 definitions of limit.

A: The given limit,   limx→a4x=4a

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A: We need to find rate and mass.

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: Find the centroid x of the plane region y=9-x^2 bounded by the positive x and y axes. O x = 3/4 O…

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Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2x = 5 and x-axis.

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Q: | a 0.24) tan(sin-1x) = b) c) =x d) 1 - x2 3

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Q: Given r(t)= , find the curvature. T

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Q: LAJM Q.16) Using the method of partial fractions x²-3x² b)-1 Q.17) The general term of the sequence…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: c) Converge by integral test Q.10) fxe-x dx = a) 6e-5-1 25 b) 1-6e-5 25 c)(4+1) 2$ -6e-s 25 d)-

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Q: 2√ty' =√1-y²

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Q: C

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Q: 2x-x² dx

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Q: Find all solutions to 2 sin(0) 0 = = - 1 on the interval 0 ≤ 0 < 2π

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Q: 2 Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î+ 2j-7k…

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Q: question

A: We have to choose the correct option from the given options according to the given information

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A: Above question is solved.

Q: For the function R whose graph is shown, state the following. (If the limit is infinite, enter '' or…

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Q: Q2: Locate the singularities of the following functions and determine their type. el 2) 2) exp (z…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

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Q: Evaluate the indefinite integral given below. Provid [(-3x - 3)¹ dx

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Q: √4x+4-√√5x+1 x-3 k B) 1 CO Q18) if f(x)= 2 700 116 D)- 1*3 point A) and if f(x) is continuous…

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