Find the ff: a. if the differential equation in question is variable-separable b. the given differential equation's order, degree, and linearity c. the general solution to the given differential equation

Q: Evaluate the integral:

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A: Given that the volume of the box is: V=lbh=160⇒lbh=160⇒h=160lb...(1)

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A: Radius of convergence 1L=limn→∞an+1an       =limn→∞4n+1(n+1)!4nn!       =limn→∞4n+1(n+1)!×n!4n…

Q: 5. E-1 ne-" n=D1

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Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: 5.8 Evaluate n=1 2" -

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Q: Σ n=1 (2n+ 1)3/2 Use the Integral Test to determine if converges or diverge:

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Q: 3 а) J(x2 + 2х + 3) dx

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A: Volume of cube =lbh

Q: log4(x)-2logx(4)=1

A: log4x-2logx4=1

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

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Q: If the limit of the sequence of partial sums of a series converges, so does the series. OTrue False

A: Given data

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Q: We can find the inverse of a matrix by row reduction. Suppose matrix A is given and we wish to find…

A: Explanation of the answer is as follows

Q: Consider the differential equation dy 2ty. dt Which of the following is a solution to this…

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Q: Find Ta Centered at x 2 f(x)=e,a=0

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Q: If vector T = (x+ y+1)i+ j– (x +y)k then T.curl(T )is

A: We are given vector T.

Q: x²+2x 1. S**** is equal to x+1 c. +x + In\x + 1| +c 1 А. х — + C С. 2 1+x x2 В. 2 D. -+C 1 + x –…

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Q: Evaluate the following indefinite integral. 12 J 12 dx 12 12x %3D +

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Q: The graph of f is shown. y y = fx) 6. 6. 12 18 24 Evaluate each integral by interpreting it in terms…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: write the function as a piecewise function. f(x) = ⌊3 − 4x⌋

A: Find your answer below

Q: Approximate the change in the volume of a sphere when its radius changes from r = 50 ft to r 50.05…

A: Given,           The radius of the sphere changes from r=50 ft to r=50.05 ft.To find : Approximate…

Q: y" – 2y +y = 0 %3D

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Q: If f is a quadratic function such that f(0) = 9 and f(x) x2(x + 1)3 dx is a ratianal.functian,,find…

A: This question is about finding f'(x)  at x=0  where f(x) is a rational function

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Q: How/Find the solution for the equaton

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: Q2. Find the second order partial derivative of F(x.y) = x³+ x°y°- 2y² w.r.t. x at (2,1).

A: Given:        Fx,y=x3+x2y3-2y2  taking first partial derivative with respect to x.…

Q: The demand function for a product is modeled by  p = 400 − 4x,   0 ≤ x ≤ 100,  where p is the price…

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Q: Determine whether the series 2 (n + 1)/n converges or diverges. n= 1

A: Explanation of the answer is as follows

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Q: Find all antiderivatives for the following function. Check your work by taking the derivative. f(x)…

A: The function F(x) which is antiderivative of f(x) can be found by finding the indefinite integral of…

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. 4X-1 e lim…

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Q: Compute the first partial derivatives of the following function. f(x.y) = 5 - tan (x?+2y?) 5=ロ

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Q: the graph of the function f(x)=1/x+3-10 is a transformation of the graph of the function g(x)=1/x by…

A: f(x)=1x+3-10  , g(x)=1xConsider g(x)=1xHorizontal shift left  by 3 units⇒g(x+3)=1x+3Then Vertical…

Q: :

A: We have to find the nature of the given differential equation and find its solution

Q: Find the critical point of the function f(x,y) = 3x2y2 + 2y2 + 2x2. a. (0.82,0) b. (0,0) c.…

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Q: The percentage P of doctors who accept a new medicine is given by P(t)=100(1-e^-0.30t) where t= time…

A: Answer is in step 2.

Q: 5 s2+ 3 s2 –8

A: Let's find.

Q: Given the power series 00 Σ 4 (x - 3)" n = 0 n + 2n Find the "Interval of Convergence" for the…

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