Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

Q: find dy/dx and dy/dx2, if : x = a(cosθ + θsinθ) and  y = a(sinθ - θcosθ)

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Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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Q: √x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the…

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Q: -1 33x So 43x dx 0 O 0.6698 0.6670 O 0.6699 0.6671

A: Solving the definite integral by using substitution.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: Part 3. Find the anti derivative of the exponential and trigonometric function. Write your provided…

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: dy Find dif: y = ln(x + √² + a² O a √2+²+² O b. √ О с. √√2²+0² O d. none of these O e √√zta

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Q: Consider the region on the 1st quadrant bounded by y = √√4 — x²,x and y - axes. If the region is…

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Q: y = 10t² 10 S3 5+²

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Q: fx,> 8 and x n+1 2 for n EN. Then the limit of x is equal to X 21 ......

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: (5) Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

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Q: The figure is the graph of the derivative, f', of a function f on [-3, 3]. Determine the intervals…

A: All answer is given.

Q: Not yet Simplify 3-3-1-3-2 O a. 5(3-2) O b. none of these Oc. с. 3(53-2) O d. 33-2 o e. 3³-n

A: To simplify the given expression .

Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: S²³² The numerical value of -3√9-2 dx will be equal to

A: Given that ∫-33x9-x2dxSolution:odd even property if f is odd f-x=- fx  then ∫-aafxdx=0

Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: Find the equation of the bisector of the acute angle formed by the lines 1+2y=3=0 and 2x+y-4=0. 0 a.…

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Q: The graph of y=sin(x) is reflected first in the line x = π and then in the line y=2. The resulting…

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Q: Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+…

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Q: Let a > 0 be a constant. Consider the following differential equation dy/dx= y2/√(a2-x2) defined for…

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Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A: We have to find value of area AL

Q: Find and classify all critical points of the function f(x, y) = x+2y-In(x¹3³)

A: Given :f(x,y)=x+2y4-lnx4y8

Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element. A…

A: Using vertical element form a double integral then solve it

Q: The graph of y = z² is shown on the grid. Graph y = (x - 3)² – 2. 10+ 9 40 05 15 8 * 50 An NE

A: graph of function

Q: (a-x)² (a-y)² (a-z)² Express (b-x)² (b-y)² (b-z)² as a product of two determinants and hence…

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: 4ex Evaluate Sv dx 2 Use rationalizing substitution. - 8

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Q: where b₁,b2, b3 are constants and 8² w 8² w ឃ 8² w + əx² Əy² az² If web₁x-b₂y-b32, = b+b+b = 1. Show…

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Q: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5 ft high. Set-up…

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Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) // ² dA over the region…

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Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

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Q: Find -3) 2/2 lim xxx+1,

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Q: The cylindrical shell method is to be used to compute the volume of the solid generated by revolving…

A: Here, the region bounded by the curves y=2x-x2, y=0 is rotated about the line x=3 as shown in the…

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. Then Arearegion = [₁ f(x) dx + f[ g(x) dx,…

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Q: 2. For a given perimeter, what is the ratio of the length to the width of a rectangle that will have…

A: Solve the following

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: The graph of f(0) = -2cos(10) the graph of the function f(0) = 4-2 cos A 2π units to the left; 4…

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

Q: uestion 12 The power series representation of f (x) = ln(x2 – 1) is given by A. None of the choices…

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Q: 5fe* (e-2x)dx.

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Q: * If z = f (x, y); then its total differential can be expressed as дz dydz date - ( 7 ), v + ( ;) -…

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Q: Find all points on the curve y = x³ + 2x² - 6x + 5 where the tangent is parallel to the line 2x + y…

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Q: Find O does not exist O-1/2 00 01 D 01/2 O Other e-1-1

A: We have to find the limit

Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9. (3n) (2x-1)" is equal to…

A: To find the radius of convergence of the given series.

Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right- circular cylinder.…

A: Given problem:- A closed wood storage having a volume of 27 in³ is to be in the form of a right…