X-9 lim

Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

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Q: -16x + 9y + 32x + 36y + 124 = 0

A: Given: -16x2+9y2+32x+36y+124=0

Q: y^2/x(x+y)=-y' evaluate the DE

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Q: A gas station has a cylindrical tank lying horizontally underground. The tank is 15 m long, has radi...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y = ; d'y/dx 2. Y = (7x + 2)5 3....

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Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: Given that: 13lnnnn=1∞

Q: Hx'+y°-4x+Dy = - 2

A: This question is based on formation of perfect square and solving inequality notation.

Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

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Q: 1. The strength of a rectangular beam varies as the product of the width and the square of the depth...

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Q: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type...

A: Given the following properties of a hyperbola, sketch the graph. State the complete properties: type...

Q: X' dx - X Evaluate: 4x½ 3 3x6 а. 3x% b. 3/ (4 + +C 10 3 10 +C 3 5/ 3x% + с. +C 3% 3 10 d. 10 +C

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Q: Suppose y , evaluate + X -1 x+1 dx 4 4 а. + (x+1)* (x–1)* (x+1)° ' (x–1)° b. 4 4 с. + d. (x+1)* ' (x...

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Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: 3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

A: Given that: 4. limx→3x-3x-2-4-x=15. limx→31x-1-2x2-1=12

Q: Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

A: The graph is shown below:

Q: S-3 if x 0 4. f(x) = at x = 0

A: Given: fx=-3 if x≤02x if x&gt;0 at x=0

Q: Use the table to evaluate the expression. 1 4 5. 6. f(x) g(x) 3 1 3 3 4 f(g(2)) 5.

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) -

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Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

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

Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: L'Hopital's rule of 3*+1 2*+ x lim.

A: Given that: limx→+∞3x+12x+x

Q: wn menu to indicate whether the sequence ng or strictly decreasing. one pose one -y increasing y dec...

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Q: a) If q(n) = byn* + Bk-1n*-1+...+ b1n+ bo is a polynomial in the variable ne N with be # 0, show tha...

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Q: (x + 3)² lim – 9 = 3 2x

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Q: dy Find dx if y = cos e*

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Q: ædy – ydæ = (x² – y²)dy (tan y – 2)dæ + (* sec² y + +) dy =

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Q: sin 2.xdx S- 19 Vsin x-3 Evaluate: a. 2vsin x-3+C /sin² x-3+C 2 +C sinx-3 с. d. Vsin? x-3+C 20. Eval...

A: We have to evaluate the given Integral.

Q: 1. y+/x +y = x at ( 3, 1)

A: Part 21,Given,            y+x+y=x , 3,1To find : The equation of the tangent line and normal line.

Q: 1. (3x°y + 4xy' + 6}dx + (x + 6x°y° -1}dy=

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Q: d.f* .3 e x* dx

A: The given improper integral is: ∫0∞ e-x3 dx

Q: lim (x² + 2) -2

A: Here we have to find the limit using table of values

Q: Find an equation of the plane containing all of the points below: P: (3, -2, -1), Q: (1, 1, 1), R: (...

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Q: Find the error propagated from the function y = 3x* if an error of 0.04 occurs in the independent va...

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Q: Which of the following differential equations can be classified as separable and exact?

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Q: (6+32) cos(1+4z) dz 3/2 sin(1+4z) + 1/4 z sin(1+4z) + 1/16 cos(1+42) +C None of the choices O 3/2 si...

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Determine the eccentricity & type of conic ;write an equation of the directrix corresponding to the ...

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Q: Find carlesian equation of the following. the 3-Sine 2. r °cas (20)= 4 r CO

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Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

A: Basic application of derivative problem

Q: The rectangular playground is 80m long. Its length is 38m longer than its width. Find the perimeter ...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: leta1=2-8=1+1-1+7a2=3-9=2+1-2+7

Q: - 2 merefore, we have 9w? - 5w + 7 y = = 9w3/2 - 5w!/2 + 7w¬1/2. Vw w, since the function is a sum o...

A: Topic:-  derivatives

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in cm/...

A: Topic:- application of derivatives

Q: Find the general term of the sequence, starting withn = 1, determine whether the sequence converges,...

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Q: Let f(x, y, z) = xy+ z². In this problem, we find the directional derivative of f at (5, – 2, 1) in ...

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Q: The revenue equation (in hundreds of millions of dollars) for barley production in a certain country...

A: If R (x) is the revenue function then R'(x) is the marginal revenue function.

Q: Let g(x) = = X-f(x) S(x) , find g'(1),if f(1) = 4 and f'(1) = 2

A: Given that g(x) = -x-f(x)f(x). We have to find the value of g'(1). Given that f(1) =4 and f'(1) =2. ...

Q: The number of women graduating from 4-yr colleges in a particular country grew from 1930, when 48,85...

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Q: 4) Determine whether the series converges absolutely, conditionally, or not at all (Justify your ans...

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