38.Calculate the surface area of the surface obtained by revolving the curve y = √9-x² around the x-axis for 1 < x < 3.

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x sin²x (2) lim, o…

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Q: Consider the following situation, which involves two options. Determine which option is less…

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Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: 15,0-20³²4 2. 3. चं 5. T cos 2x dx sin(³) cos²( :-) / dx 2x - 1 4x dx dx 6. 7. [² (x² + 0²³) dx (x -…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: We have to find out equation of tangent

Q: (B): If A = 2i +3j - 4k; B = 3i - 4j+5k and C = i + j-k, find: (iv) (3A + 4B).C (i)A.B (ii) B.C…

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Q: 1.)fx²cos²2xdx; Evaluate using integration by parts

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Q: where a = 7 and b = 17 [²* f(x) dx - [1² (2) |ƒ(x) dx = [* ƒ(a) da 9

A: ∫924f(x)dx - ∫917f(x)dx = ∫abf(x)dx find a and b = ? here we use integration by limit part rule here…

Q: 7. 0 , e5) a dx

A: Please see the below picture for detailed solution.

Q: Q3 (A): By using "L' Hopital rales "; Find the limits of: (1) tim-al-ca (2) lim, x(tan"¹x-x)

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Q: Suppose that f is integrable on [-4, 7]. If the average of f on the interval [-4, 7] is 4.25, fin 4…

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Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: f(t) = 4e-3t - sin 4t + cos 2t

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du

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Q: Q4: Answer two only: 4 2 2 1 -2 -1 1 Find AB and AC. (A): If A = 0; 2 3 1 B= 2 -2 -2 and -1 2 1 3 C…

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Q: 900mL of lactated ringers is infusing at a rate of 42gtt/min.  The drop factor is 60gtt/mL.  How…

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Q: What is the slope of the line whose equation is 5x + 7y - 3 = 0.

A: Here we will find the slope of given line,

Q: You have a moment vector, M = [ 219.2 i + 270.5 j + 211.9 k] lb*ft and unit vector, u = 0.4286…

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Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4…

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Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

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Q: QUESTION 6 Which of the following functions are separable? Of(x,y)=In(xy) f(x, y) = x² + y f(x, y) =…

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Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

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Q: Find a differential equation whose general solution is 8t y = c₁est + c₂e-2t. = 0

A: We can find the differential equation as below.

Q: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

A: Determine the area, in square units, bounded above by f(x) = -x^2 + 2x + 3 and g(x) = -x + 3 and…

Q: S 7dx x(lnx + 1)

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Q: x-1/2c (4) y = x sinh 2x – cosh 2x

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Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

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Q: -9 (x-1) 8. √x dx

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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

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Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: Solution

Q: Let f(x) = 6x√√x + f'(x) = -∞0 8

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1

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Q: Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity…

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Q: cise (a) e volume of the solid formed by revolving the region about the x-axis 01 he region is…

A: To find the volume of solid revolving around x axis using disk method

Q: 3. y = 2x² is a solution for which differential equation? 2y - y = 0 xy' - y = 0 2y'- y"=0 - y' -…

A: Given :y=2x2

Q: Describe the domain and range of the function. xy x-y z Domain: 0 {(x, y); y # 0} 0 {(x, y): x*y} O…

A: To find domain and range of the given function.

Q: Find the indicated limit by using the limits 6f(x, y) lim (x,y) → (a, b) g(x, y) lim (x,y) → (a, b)…

A: Given: lim(x,y)→(a,b)f(x,y)=3lim(x,y)→(a,b)g(x,y)=-5To find:lim(x,y)→(a,b)6f(x,y)g(x,y)

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

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Q: Let r(t) = (e²t, e−³,5t) Calculate the velocity vector and the acceleration vector at t = 0.

A: r(t) = ( e2t , e-3t , 5t ) given  find velocity vector and acceleration vector    velocity vector…

Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

Q: Q4: Answer two only: 4 2 2 1 -1 1 (A): If A = -2 Find AB and AC. 01 0; 2 B = 2 -1 3 -2 -2 and 2 1 3…

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Q: (C): It w = tan x and x = 4t³¹ +t: Find d?

A: Given that w=tanx  and x=4t3+t. We have to find dwdt. We can write,  dwdt= dwdxdxdt  [ using chain…

Q: Consider the following function. f(x) = x¹/3 + 4 (a) Find the critical numbers of f. (Enter your…

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Q: Consider lim (x,y) → (0, 0) xy 20 X (see figure). 20 20 (a) Determine (if possible) the limit along…

A: Here to determine, lim(x,y)→(0,0)x2+y2xy

Q: Find the area of the region bounded by the cubic y= (x + 2)(x - 1)(x - 3) and the x-axis. Write your…

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: topic- Functions

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…

A: To evaluate: lim(x,y)→(0,0)x+yx5+y