Evaluate using u-substitution j²x²√x²1 x²1 dx Evaluate using u-Substitution (Inx) 3 St dx x

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given problem:- The population of a community is known to increase at a rate proportional to the…

Q: 9y=x²,0 ≤ x ≤ 2 ; x-axis

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Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: Determine the Cartesian equation of the plane that contains the line = (7,2,-1)+ a(4,5,1) and…

A: Given problem:- Determine the Cartesian equation of the plane that contains the line = (7,2,-1) +…

Q: 4 10 c) f x ¹0 (5-)10 dx x

A: Find out the integration.

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: 5a) Which of the following vectors are unit vectors? Justify your answers. *-[243] b) Are these…

A: A vector that has a magnitude of 1 is called unit vector. For a given vector v→= x,y,z magnitude is,…

Q: the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with…

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: News s the followinouation sutisfied Cauchy - Rieman. equation w = Z₁ W 4

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Q: The number of students at a school increases at a rate proportional to its current size. In 2005,…

A: NOTE: Refresh your page if you can't see any equations. . the  particular solution for part(3) (that…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: The given sequence is ∑n=0∞-1n+1n+6xn=∑n=0∞an

Q: (x² - 12x + 9) dx (x²-3x + 2)²

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Q: Find the area under the curve given by parametric equations below, above the x axis for 0≤t≤2n (x(t)…

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Q: 05/A)) Find mif 772 375 5 √3/201 25 x2dx = 0.5

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

Q: Find the derivative y by implicit differentiation 4xy2=5x+8

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Q: O Evaluate the following integral by using Odd and Cros² 5 ( ¹ ) d

A: We will solve the problem

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A: Let's find amount of salt at t=10minute.

Q: For the matrix B shown below, determine the value of the element b32. If the element is not defined,…

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Q: True or False: 6. If the limit exists at x = a then the function is continuous at x = a. 7. A…

A: This question can be solved using the concept of limit, continuity and differentiability.

Q: 22. Determine the vector and parametric equations for the line passing through the points P(-1,-3)…

A: “Since you have posted multiple questions, we will solve the first question for you. To get the…

Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax=Ay = 0.25 0 1+xy

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Q: Find the value of the following derivation y = x ln x sin x

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Q: Explain why the integral is improper. 49 1 1²0 √/x dx 1.6 1.4 1.2 Y 08 0.6 0.4 0.2 10 20 X At least…

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Q: Q3//Find the following integration; a)f dz = f zx(a-x²)-¹dx + f(a-x²) dy

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Q: 12²=1 r² – 1 dr.

A: We have to check weather the given integral is converges or diverges.

Q: Fx 4x2cos x find the derivative of fx

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Q: A differentiable function g(x) has only one local maxima at x = 1. It is also known that g" (1) 0…

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Q: Given that Y₁(t) = e 2¹ and Y₂(t) = e³ make up a fundamental set of solutions to y"+5y'+6y=0, find…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

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Q: 1. Using the diagram below, fill in the blanks. B A D G F H E Column A: a) AB+ BC b) FE+FG c) HG+FB…

A: We need to fill in the answers.

Q: Find indicated partial derivatives: дz a) yz = ln(x+z)

A: We have to find partial derivative of given function.

Q: Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

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Q: Solve the initial value problem. 1. y'=4xe2x²cosx - ytan x, where y(0)=1

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Q: Nove the followingTuation sutisfied Cauchy - Rieman. s oes W = Z 4 equation

A: For a function of form w=f(z)=u+iv is said to satisfy Cauchy-Riemann Equation if ux=vy  and uy=-vx…

Q: c) sketch its graph

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Q: Below is the graph of y= log₂ x. Translate it to become the graph of y= log₂ (x+2)+4. X -6 -4 -2 2 ?

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Q: 18 [™ f(z)dz where a = 11 - F f(x)dr = [² (² and b 0 f(x)dr

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Q: 3 -6 -4 -3 4 Let y = J. ,Vi= 1₁ 5 -1 Compute the distance d from y to the subspace of R4 spanned by…

A: Given y=3-6-35   , v1=-1-44-1  , v2=0220

Q: 1 1+6402 anges JP

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Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Graph the parametric equations x(t) = cott ly(t) = sin² t

A: Consider the parametric equations x(t)=cot ty(t)=sin2t

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: Here we have to check the convergence of given sequence

Q: * - 6x 7e لا 87 لحملاملا

A: We need to solve D.E.

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A: The given points A(-1,3,7) and B(2,-1,6).

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: Find all the values of X if any for the tension line to the graph for the function is horizontal Y=…

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Q: es the following uation sutisfied Cauchy - Rieman. sequation 4 W = Z بیماری

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Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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