1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

Q: Given the curve X = 2y – y and the line X = 0 Find the moment of R with respect to the y-axis M. y…

A: Given problem:- Given the curve x = 2y-y2 and the line x = 0 Find the moment of R with respect to…

Q: Evaluate the integrals: 8 dx (a) ] Tx– 2)(x+6)

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Q: T/2 X dx tan 2 33.

A: We have to find out integral

Q: 2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 2n, (ii) r = 2(1+ sin 0), 0<0< 27.…

A: We need to find length of curve.

Q: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

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Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A: We have to find intensity of earthquake in 2011 with respect to 2009.

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

A: The given function is  h(x,y)=x3-3x+3xy2

Q: Solve the following matrix equation. -96 6. 6 +2 y %3D -26 6. 4z 14 4.

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Q: Find the center-radius form of the equation of a sphere which circumscribes two externally tangent…

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Q: 2) Consider the function g defined by glx, y) = (アxg)+ COS logs (x-y) la) determine дудх

A: Consider the function g defined bygx, y=cosπxy+1log3x-yto determine ∂2g∂y∂x.

Q: Find the sum of the series. 00 5n Σ 9"n! n = 0

A: we know  ex = 1+ x/1! + x2/2! +.....

Q: Use the Table of Laplace Iransform fo find the Laplace Transfom of the given function. a. te-3t +…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: 1. A boy is blowing a spherical balloon at a rate of 50 cm /s. At what rate is the radius of the…

A: This question is based on application of derivative.

Q: Find the volume of the solid that results when the region shown below is rotated about the y-axis. y…

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Q: (-2)2n is En=1 00

A: ∑n=1∞-22nnn

Q: An emply container is filled with liquid. The height of the liquid in the container is x cm and its…

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Q: (x- 2), (y-6)² Problem #4: Find the slope of the line tangent to the conic section =1 at 16 25…

A: This question is related to Straight lines, we will solve it using given information.

Q: Find the area bounded by the curves y 6x - xand y= x -2x A) 128/3 B) 57/3 C) 64/3 101/3

A: Given problem:- Exit the area bounded by the curves y=6x-x2 and y=x2 -2x

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A: Intensity of the earthquakes measured logI1I2=M1-M2

Q: 4x2 Let S be the surface with equation y = + 22. 9 (a) Write the equation of the traces of S on the…

A: Here S is the surface with equation y=4x29+z2. a) For y=4 , trace of given surface will be given…

Q: * Find dy for the following function : xp 2X 2) (3 Sin 2 duccnt f) -(x+2x -x) 1. dax + 2 と2 Sec (xy)…

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Q: y 3 to 2.

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Q: Find the z tronsfom of f(n) = a" cos (bn).

A: We have to find the z transform of the following.

Q: 3. Graph the polar equation and find the area of the region. Outside r = 1 but inside r = 2 sin 20

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Q: A linguist studying the spread of new words and slang observed that the number of daily occurrences…

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Q: Determi he the slope 9 x3 -43 =1 at (1,2)

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Q: L-1 (2s-9 Is²+2.

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Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)] and solve f '(2).

A: We have to find the solutions

Q: Find the area of the region that lies outside the circle r = 3 cos and inside the cardioid r = 1+…

A: Given r=3cosθr=1+cosθ

Q: Solve f 8x cos(7x) dx using Integration by Parts.

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, x] for y = 8 sin(x).…

A: solution:-y=8sinxx∈[0, π]revolution about the x-axissurface area of…

Q: Jse u = 6x and v' = sin(x).

A:

Q: Given the graph of the function f below, Which of the following must be true? 3 2.

A: Graph is given

Q: Find fxx​(x,y), fxy​(x,y), fyx​(x,y), and fyy​(x,y) for the following function.…

A:

Q: -At the minimum point the value of second derivative is choices a. imaginary b. negative c. positive…

A: Solution: At the minimum point the value of the second derivative

Q: Solve the initial value problem : y +6 y +13 y=0; y (0)=2,y0)=0

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Q: Find the Indeflnite Integral. dx Step 1 Observe that Is the derlvative of x. Let g(x) Multiply and…

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Q: 2s2-s+4 s(s²+4) =4 + Bs+C s²+4

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Q: Suppose we know that f(x)dx = 2 and g(x))dx. S g(x)dx = 7, find the exact value of S°F (x) %3D

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Q: Given vectors in R3 (2 -1 0),(3 1 2) and ( 1 0 1). They are linearly independent. Select one: O True…

A: To find that the given vectors are linearly independent or not.

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A: Just use input given and calculate I1/I2

Q: 13-28 Sketch the region enclosed by the given curves and find its area. 13. y 12 x, y=x² – 6 14. y =…

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Q: Find the derivative of the function at Po in the direction of A. f(x, y, z) = xy + yz + zx, Po(1,…

A: Given query is to find direction derivative.

Q: Question Given f(x) below, find f' (x). f(x) = %3D cos (x) Provide your answer below: f'(x) =D…

A: Given query is to find the derivative.

Q: What are the intervals on which the graph of the function f(x) = x +2x+1 is concave upward? O a.…

A: Option (e) (-∞,-1) and (0,∞)

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: (a) Determine the extrema of the function over a one-year period. (t, R)- March relative minimum…

A: answer is in next step

Q: 8 dx I (x – 2)(x +6)

A:

Q: Question Suppose the following sums are given. 120 120 2 a; = -2 2 a; = -19 i=1 i=44 Compute 43…

A: We have to find sum

Q: 4. Find the equation of the slant asymptote. x-6x²-4x+1 r(x)=- %3D x² -x+2

A: