............. ........ ............... If fx° e" dx = eª (A) + c, where c is a constant. Then A = Select one: a. x³ 3x2 + 6x – 6 - b. x³ + 3x2 + 6x + 6 C. x* – 3x2 + 6x + 6 - d. x3 + 3x2 + 6x – 6 -

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A: x=ft  &  y=gt Differentiating with respect to t, we get dxdt=f't  &  dydt=g't Now,…

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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Q: If x"y" = (x+y)** ソ-0 m+n m..n Then, P rove that dx²

A: I use logarithmic differentiation with logarithmic properties

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A: We need to find integral value.

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Q: Find a particular solution yp = Yp(x) of the following DE d'y dx? 16y = 48x + 16x + 26

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Q: (c) If à = t?î – tĵ + (2t + 1)k and b = (2t – 3)î + j - tk then find (ā. 5) at t = 2.

A: the given vectors are: a→=t2i-tj+2t+1k b→=2t-3i+j-tk we have to find the value of da→·b→dt  at t=2

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A: By simply differentiate  with respect to x to find d^2y/dx^2

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Q: Find all values of the constant c so that (xy + 1)dydx = 4 + 4c. 1J0

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Q: (c) Repeat part (a) using midpoints. M3 = M5 =

A: Let's find.

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Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

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Q: Solve the following diffential eauations a) dy + 4 y = e dy 3n2y = そ? ea3 dy C) N + 2y = そマ dn

A: We need to solve DE.

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Q: Find based on the given information. y = e 5y +3 = x

A: Solved below...

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Q: (xiv) f(t) = 3+et – te-2t + e5t cos3t + 6sinh7t

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Q: D. E +xy = axj Solue %3D D

A: Bernoulli's differential equation.

Q: If f(x, y) = (2x? + 8y²)í, then f_(0, 0) = %3D A) 0 В) 1 C) 4 D) 2 E) Does not exist

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Q: (c) Repeat part (a) using midpoints. M3 = %D M6 =

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Q: If the substitution m = y - x was applied to the DE: 9 = 1- 3(y – x)°, the resulting DE would be: dx

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A: Given,            The statement is ∫abfxdx=∫abfydy.To find : Check whether the statement is true of…

Q: e that M{(1 + xa)-b; p} = %3D

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Q: If ſ f(x) dx = 2 and f2 g(x) dx = 3, then find the value of %3D L (2x) + g(4x)) dx ? O 7/4 O 3/4 O…

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: Solve the diferential eguation with discasfssic Of soaL (4xy-y2) dx +(2x? - 2 xy + 2y?) dy=o

A: Given the differential equation is 4xy-y2dx+2x2-2xy+2y2dy=0 This is form exact differential equation…

Q: a prob. 174 Find (c) E (XY)

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Q: dy Find ax if y = V6+ secnx² %3D O 1) nx(6+ tannx?)-1/2secTx?tannx? O 2) nx(6 +…

A: We are given y=6+secπ x2. So,            dydx=6+secπx2'      =126+secπx26+secπx2'      =126+secπx2·…

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A: If ∫0c1x3dx is between 3 and 6 , then c must be between

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A: Let's find.

Q: given fro)=5 TR-x) Jet On both side intergrel fcx) と mx2. +c f(0)<0+C fox)L mx2 t5 fcs)<M(S)と45 Pis)…

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Q: Suppose that flath) -flx) = Cahx?+ Chx t Th3x = Ch ? Sh3 + Th3x -Cah=5h 2. 2. find fcx)

A: f(x+h)-f(x)=6hx2+6hx+7h2x-6h2-5h3 we know that f'(x) is  f'(x)=limh-&gt;0f(x+h)-f(x)h

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Q: Find and of a = V1-tand y = t - 3t? %3D = -4tV1-t %3D =-4tV1-t 4 4t V1t 4tVT+t

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A: Given, The graph between y and x  Fiven points A,B,C,D,E  are given on the graph

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.