"ind where f(x, y, z) = e²´y and x = Vuv, y = ; %3D dv

Q: Given an area D bounded by a cardioid r = 1 + cos θ, θ ∈ [0, π], x-axis, and it’s located on the…

A: If the curve is given by , where   .The area inside the  curve is  .

Q: Find the area: y = sin x, the x-axis, the y-axis and the vertical line x = 2 *

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Q: Sx³cos3x?dx

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Q: 4 To find the blue shaded area above, | f(x)dx = area a Where: a = , b = on

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Q: S(cost x- sin x)dx

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Q: 2. FIND THE AREA BOUNIDE O BY 2 y= x (2,4) and the X- axis THE CURVE

A: The given curve is: y=x2      .........(1)We have to find the area bounded by the curve y=x2, (2,4)…

Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: (c) 5tª Int dt

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Q: What is the total area of the curve y T and the x-axis between I =1 and x = -1? %3D -1

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Q: Tind y'at y = Sin h Cinx) %3D

A: Given that : y= sinh(lnx)  and we find y' or derivatives of y. We know that d(lnx)/dx = 1/x.   Here…

Q: The area bounded by the curve y=4- x2 · x-axis and the line is? 16 Ob. 11 Oc. 16 Od. 1 а. 5 3 3 3

A: The graph is shown below:

Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: between

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Q: Given f(x,y) = xxy + xy, y =t? + cost and x = Int + 3t. Find

A: Given that f(x,y)= x3xy +xy3 , y= t2 + cost and x= lnt +3t . We find df/dt. Here i attached solution…

Q: 2) Find the area between the curve y ? = 2x – 5 and the line y = x – 4.

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Q: The area between the two curves in the picture is y = 4 y = x2 dy- | dx x 2 32/3 O

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Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

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Q: EXAM Q1-If x= cot-1 VE, y =,-. find dy d2y dx' dx2 at t = 2.

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Q: Find the area between x = y^2 - 4, y = e^x

A: To find - area

Q: The area bounded by the curve x = 3y + 8, the y- axis and the abscissas y = 0 and y = 2 is O 19 O 1…

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Q: -2* dx

A: To integrate using tabular form.

Q: The area bounded by the curve y = vx, 2y + 3 = x and x-axis in the first quadrant is

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Q: evaluate using Integration by Parts.

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Q: Area between curves y=e^5x y=e^3x x=1

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Q: The area bounded by the curve y = 6x , the x-axis and the ordinates x = = 0, x = 2 is 6 O 3 O 12 O…

A: area bounded by curve and x axis given by integrating curve

Q: оЗ Сlassify PDES below: int 3 и ди y? dx3 ue 5x ду — и + и

A: Nonlinear differential equation

Q: Va2 – 4 dx

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Q: 4. Find the area enclosed by: a. y= sin(x) and y= cos(x), x 0, x =" and the y-axis. 2

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Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

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Q: Find of xy = x + cot y dx

A: This Question need implicit differentiation

Q: nd the area between y = 8 sin x and y = = = 10 cos x over the interval

A: Topic:- application of integration

Q: Find the area between the curves. 4x y3e 8. x= 0, x= 3, y= 2 e y=e+ e

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Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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Q: evaluate using Integration by Parts, substitution, or both if necessary.

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Q: Find the area under the curve: yA 4 y = 4 – x? 1 1

A: We find area by integration .

Q: |2²+2x + 1 dx

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Q: Sulve the Poll owing DiE (x'+) dy+ (2xy +) dx

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Q: Evaluate using integration by parts : fln 3x dx

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Q: Find the area between the curves 피/5 y = e y = 10 tan -x) + 1, 0< x < 4 16 Area

A: According to question,Given curves,y = e-x5y = 10 tanπ16x+1,0≤x≤4

Q: the total area between the curve y = x3 and y=x is 0 Select one: O True O False

A: The total area between the curve y=x3 and y=x

Q: 4. Find the area enclosed by: a. y= sin(x) and y = cos(x), x= 0, x = and the y-axis.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

Q: evaluate using Integration by Parts.

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Q: Find the area between the curves y = e0.3se y = 1.9x + 1 from x = 0 to x and = 5. Area =

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Q: Q\ Find for y = tanh 1(coth(x)) dx O -2 O -5 -4 7. O O O O

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Q: the area bonnded by y=X y-X

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Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Find the area enclosed between the X-axis and the curve y = (x +1)°,0 < a < 3.

A: The area under a curve is the area between a curve fx and the x-axis on an interval a, b given…

Q: find the indefinity integral  x^9 dx

A: