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Q: Osinx A studenk detesmines that & st'lt=55inx by applying the fundament al Theoe of calcolus A ident...

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Q: xe* dx хе

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Q: is If x2 +2ху%3Dу?, then dx x +y A y- x B 2х+2y х+1 y X-y D 2(x+ 1)

A: Given that: x2+2xy=y2

Q: Convert the following parametric curve into Cartesian form: x = 4 sin t, y = 5 sin t O 2² + y? = 20 ...

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Q: A large water trough is 12 m long and has ends shaped like inverted isosceles triangles, with a base...

A: Solution: Force exerted on the plate is given by, F=ρghA where,

Q: Which of the following is a parameterization of the line that passes through the point (1, –3) with ...

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Q: Find the centroids of the function, y=4x-x^2, y=x (please sketch the graph)

A: Let's find. 

Q: Find the lengths of the curve r = sqrt(1 + sin 2theta) if 0

A: We have to find length of the curve 

Q: ,2 Solve 2 cos (t) + cos(t) – 1 = 0 for all solutions 0 <t < 27 %3D Give your answers as a list sepa...

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Q: Evaluate.

A: Given that: ∫0bcecxdx

Q: Set-Up (DO NOT SOLVE) Double Integrals, / f(x, y) dA (b) || f(x, y) dA where D lies below the parabo...

A: Double integration

Q: The graph of f (the derivative) is pictured below. Determine each of the following. (If infinite, sp...

A: Graph of the derivative of a function is given, we have to find the following.

Q: d³y d²y + 7. dx3 What is the auxiliary equation of the linear differential equation + 13 y = 0 ? dx2...

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Q: What is the rule for calculating the derivative of the composition of two differentiable functions? ...

A: We have to explain how to calculate derivatives of composite function.

Q: Let A = {t, u, v, w}, and let s, be the set of all subsets of A that do not contain w, and S, the se...

A: The set A=t,u,v,wS1 be the set of all subsets of A that do not contain wS2 be the set of all subsets...

Q: what is the general solution of a = e* dx +1

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Q: A brokerage firm keeps track of the total money spent on Tesla stocks by their clients each day of t...

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Q: 6x² +- dx S(cos(x)+ sec*(x) dx

A: SOLUTION-

Q: obtain the maclaurin's series for the following functions: Cos 2x

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Q: Use the superposition principle to solve Laplace's equation (1) in Section 12.5 a²u a2u = 0, 0 < x <...

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Q: Define a function S: z+ z* as follows. For each positive integer n, S(n) = the sum of the positive d...

A: S:Z+→Z+S(n)=the sum of the positive divisors of n

Q: n Compute (2i? – 7i) = i=1

A: ∑i=1n2i2-7i

Q: (2х + 2у + 1)dx + (х + у — 8)dy %3D0

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Q: Consider the ODE below. x°y" + a?y" – 6xy' + 6y = ? + a? Show complete solution and determine the fo...

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Q: Solve and present detailed solution of the following using undertermined coeff. (D³ – D)y = 4x²

A: Solve and present details solution of the following using undetermined coeff. (D3 - D)y = 4x2. We so...

Q: 1) Clearly state what your variables represent, set up a system of equations and solve it to answer ...

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Q: 2х How many critical numbers does f(x) x² – 1 A) There is none B) There is 1 There are 2 There are 3

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Q: What isthe thirddegree Taylor polynomial for g(x)= Vx centered at a = 1? A.1-*-1)+(x-1° -(x-1)° 2 4 ...

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Q: Consider the following events: S: an author is successful; U: an author is unsuccessful; N: an autho...

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Q: +-5 What is the equation of the parbola shown below, given the focus at F(3, –4) and the directrix y...

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Q: Solve and present detailed solution of the following using undertermined coeff. (D3 – D)y = 4r2

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Q: OUse the e, & definition of the limit to prove that: lim -4x + 5 = -3 x- 2 der: lim f(x) = L means: ...

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Q: 12 If f(x) = t' dt then f'(x)

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Q: What is the slope of the normal line to the graph of y= x+ cosxy at the point (0,1)? A (B -1 (c) (D)...

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Q: 10-4z .5-2x-y 6z2 dz dy dx

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Q: A microbial population's mass grows in such a way that its rate of growth 5 days, starting from a ra...

A: Given query is to find modal for rate of growth.

Q: vcccd irstructure.com Evaluate. xpxao O ebc -1 (ebc - 1) O c(ebc-1) ebc 1

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Q: How do you solve 15/4 as long division

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Q: Let F = (e" sin y) i+ (e cos y + y)j. Answer the following questions. (a) show that is F conservativ...

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Q: Which of the following is incorrect, if f(x) has Maclaurin series T(x)= 3+ 2x +12x² + 5x³ А. f(0) %3...

A: Given that, The function is following, f(x) = 3 + 2x + 12x2 + 5x3 We have to choose incorrect option...

Q: be covered by a search and rescue squad ,. Approximately , by how much does the area increase if the...

A: Given query is to find the increase in area if radius is increased by 500 meter.

Q: It goes with the question

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Q: The position of a particle moving along the x - axis at time t is given by x(t) = ecos2t, 0 stsn. Fo...

A: We have to solve the problem

Q: Representing a Surface Parametrically In Exercises 67 and 68, find a vector-valued function whose gr...

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Q: A rectangle has one side on the z-axis and two vertices on the curve 8 y%3D 2+z Find the vertices of...

A: By making graph

Q: An apple farm yields an average of 41 bushels of apples per tree when 21 trees are planted on an acr...

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Q: y? (a - x) = x (a- x

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Q: Please evaluate P (3y – esin(@)) dx + (7x + Vyª + 1) dy, - where C is the circle x2 + y? = 9. Hint: ...

A: See the details solution in below

Q: Find the x-values corresponding to all critical points of the function f(x)=1/5x5-a4x,  where a is ...

A: We have to find critical points

Q: Please compute the work done by the vector field F(x, y) = (sin x+xy²)i+(e" + a2)j in R?, where C is...

A: ..