S, x(x + 5)dx

Q: V Sove usig variation of parameters reduction of order or (D²+1) y = sectx seet,

A: Let's find. 

Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

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Q: dy 2y_(x+2)² %3D dx x2 -4 x² -4

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Q: Let f(x, y) = (x² +(3))°. Determine the directio %3D 4)

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Q: Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y...

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Q: 2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? ...

A: Since we are given with the multiple number if question and our guideline is solve first question ki...

Q: Differentiate log(x² + 1)² 4 log10 e а. x2+1 4x log10 e b. x2+1 a.

A: Given query is to find derivative of the expression.

Q: (b) If u = x² cos y+ye", where x = s+2t and y = st, prove that ди ди 2 = (s – 2t) (x siny– xye – e")...

A: u=x2cosy+yexyx=s+2ty=st

Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y ...

A: This question is based on Sinusoidal function.

Q: 4. ( * x)dk =(2y-)dy 2Y- I+x?y2

A: For the solution follow the next step.

Q: 2. A hemisphere of radius 12 miches and base up is full of water that Funs out thrdugh an orifice of...

A: Given:  A hemisphere tank of radius (R) = 12 in =0.348 meter Area of orifice (a) = 1 in2 =0.00064516...

Q: (2х — 5, х 20 lim h(x) : where h(x) = x→-4 x + 7, x < 0 Table 1: x -5 -4.5 -4.1 -4.01 -4. 001 approa...

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Q: Consider the following initial value problem: y' =xy3(1+x2)-1/2 ,      y(0)=1 (a) Find the soluti...

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Q: the plane according to the equations x = t² + 2t and y = 2t³ – 6t. Find dy/dx c. 3 d. 4

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Q: Using the notations A, BA, B and CC to denote the angular measure of the interior angles of the tria...

A: We know, 2ab cos C = a² + b² - c²  So, 2ab (- sin C) (∂C/∂c) = - 2c  So, (ab sin C) (∂C/∂c) = c  So,...

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: 1 Solve the equation: 1 x + 3 1/4

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Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base ...

Q: Elisha works a job that pays $⁢19 per hour. Write a function that represents the amount of money she...

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Q: x*+3x-4 4. lim X4 x+6x2+12x+16

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Q: Lesson 4 1. Given the function f(x) = 3-x, graph and find lim f(x) a. b. lim f(x) c. lim f(x)

A: Topic = Function As per guidelines, At a time only one question can be answered out of different mul...

Q: 一名 ース 1-X

A: We can find the integration as below

Q: diagram not to scal Topic 3 Trig Function graphs [52 marks] 1. A Ferris wheel with diameter 110 metr...

A: As per our guidelines, we are supposed to answer only one question at a time.   Given data are: Diam...

Q: 1. lim g(x) = X--1- ; lim g(x) ; lim g(x) %3D r-1+ X--1 3 2. g(-1) = 2- 1. lim g(x) = ; lim g(x) = X...

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Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: y Iny Ae^+ Bex

A:

Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: dx 1+ ×°yス 2Y - 1+(xy)². 2x + X

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Q: 2. Sketch the graph of g(x) and discuss the continuity and discontinuity at x = 2 X = 0 g(X) = PEN

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Q: Find the derivative of the following functions.

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Q: dæ Evaluate (16 + a2)

A: sec2x -tan2x=1 cos(2x) = 2cos2(x) -1 sin(2x)=2 sin(x) cos(x) ∫cosax dx =1asin(ax)+C

Q: dz 22. Evaluate the definite integral Hint: Trigonometric Substitution 2zv9z2-4 0.

A: To evaluate: I=∫03dz2z9z2-4...(1)

Q: Use integration by parts to evaluate the integral:

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Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the centroid of the region bounded by the given curves. y = 2 - x2,      y = x

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Q: dx Assume that x = x(t) and y = y(t). Find using the following information. dt dy x2 + y? = 2.92; - ...

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Q: Setup an integral to find the surface area obtained by rotating the curve y = x x = - 6 for 60 < x <...

A: Here we will setup the integral for finding surface area, 

Q: Use any method to determine whether the series converge. (a) k=1 The series 1 (b) 9k + 1 The series

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Q: It is f(r,y, 2) = xyz Determine the expression for the options below: I. az af az = Y. af az 0. af T...

A: The function is given by fx, y, z = xyz To evaluate: The expression of ∂f∂z

Q: Write the first five terms of the sequence: +o0 {vn² + 2n – n}, Determine whether the sequence conve...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: dx x²+x-6 9-

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Q: (e* + y)dx + ( 2+x+ ye )dy =0

A: See the details solution in below

Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

A: Given that, The equation is following, log(x) = 1 - log(x - 3) we have to find the solution of this ...

Q: Solve for the differential equation, show detailed solution. xy' = y e^(x/y) - x

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Q: Find equations of the tangent line and normal line to the given curve at the specified point. (1. ) ...

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Q: Find the length of the arc if f(x) = In(cos x) and 0 s x %3D 2. Find the length of the arc formed by...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

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Q: Graphing a Trigonometric Function In Exercises 41-52, analyze and sketch a graph of the function ove...

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