(メ+ッ)dx + (x4ッ)dy =。 d x dy x yz x?y

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: We have to find the area.

Q: Evaluate the definite integral. es dx x/ln x v 5 6568542194924

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Q: 8. Find the inverse function of: f(x) =-6 x3 %3D

A: The given function is: f(x)=x38-64 Let, y=f(x)

Q: ydy -7-8-4 2.

A: Topic:- integration

Q: L(e3t cos 2t)

A: We know, L{eatf(t)}= F(s-a) , where F(s)= L{f(t)} L{cosat}=s/(s²+a²)

Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

Q: TRUE OR FALSE 10. Addition and Simplification can be applied to part of lines of proof. 11. If p, q,…

A: Here is the solution

Q: Sketch the curve given by the parametric equations x= t³ - 1 and y= t² + t. Construct a table with…

A: Given problem:- Sketch the curve given by the parametric equations x= t3 - 1 and y= t2 + t.…

Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

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Q: 18. Convert 5 radians into degrees. First find the exact answer (no decimals or rounding, please).…

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Q: 9. dr (2-r)Vr2-4x +3

A: ∫6(2-x)(x2-4x+3)dxApply linearity=-6∫1(x-2)(x2-4x+3)dxSubstitute…

Q: Evaluate the line integral below over the path c(t) = (t², sin(#), e-3t+4) over the interval 0 < t <…

A: We have to evaluate the line integral.

Q: 81. Area Find the area between the graph of y = sin x and the line segment joining the points (0, 0)…

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Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x² + y (x, y) # (1, –1) x + y is…

A: Given f(x,y)=1                        (x,y)=(1,-1)x2+yx+y              (x,y)≠(1,-1)

Q: (hen? + h? eh* ) di

A: The integration of the integral is  (heh^2+h2eh^3).

Q: Evaluate f 2x dx 2-1 Solution Steps Rewrite rational expression to exponential expression to make…

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Q: Assignment On Integral of Exponential & Logarit Determine the integral of the ff. functions. 1. S -…

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Q: The volume, when the curve y=v(3+ x^2 ) from x = 0 to x = 4 is rotated about x - axis is 100n 100/9…

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Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

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Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: 6. A particular leaf is comprised of 80 thousand cells. As the leaf grows, the number of cells grows…

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Q: Integrate using Partial Fraction Decompositio

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Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: Iy 3. cosysiny dy

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Q: Experimental data on the nitrogen content of soil samples taken from a field used for vegetation was…

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Q: Find the area under the curve リ=x rom x=0 o X=|.

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Q: dy Use implicit differentiation to find for y' dx +2xy – x' = cos3y

A: Given:         y3+2xy-x5=cos3y Implicit differentiation:    differentiating on both sides with…

Q: 10) у - еx3 In x

A:

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

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Q: dx x³Vx? – 16

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Q: (-1)" Vn

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Q: nd 4 and using L'Hôpttal's Rule.

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Q: x dx dy _dy V4 +

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Q: Convert to a rectangular coon 12. (3,*)

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Q: 2x + 3 x² + 2x + 4

A: To integrate the rational function. ∫2x+3x2+2x+4 dx

Q: 2. Solve: 5 In(2x – 3) = 10 algebraically. First find the exact answer (no decimals or rounding,…

A: We have to find the exact answer and decimal approximation of given equation

Q: What is the exact value of cos(2u) if cot (u) = where sin(u) <0? 12 (A 37 35 B 37 12 37 35 37

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x cos y…

A: Solution is 318 or 0.09622

Q: Q1: Find The Fourier series for the function defined by 0 <x < 41 -4 <x< 0J f(x) = {* - %

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Q: False 1. If v, w, x E R" are vectors with v · w = 0 and w· x = 0, then v•x = 0 too. False 2. If v, w…

A:

Q: Convert to a polar coordinates. Show work. 13. (0,-4) |

A: polar coordinate

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

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Q: Find the average value of æ on the interval 0, 4| O 16 O 64

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Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. cylindrical…

A: Here we have to convert it into cylindrical coordinates.

Q: Part B. Find the equation of the circle of curvature of the curve y = 2x* – x at its minimum point…

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Q: x-4 dx x2+2x-15 9. 끓 Imlx + 51-mx-3| +C In]x In]x + 5| – In]x – 3| + C 8 Option 1 Option 2 |(x +…

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Q: Find the dy/dx: Given tan (x²) y =

A: Differentiate with respect to x.