Evaluate the following limits. Use the direct substitution for solution. 5. lim +-2341 2x-1 6. lim 7. lim(9x2-3x + 4) 4. lim V6x + 27 X-3)(x*-4) 8. lim X-2

Q: O Find dy/dx, given y =. -u and u =TR42.

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to u

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

A: Given: (D2  -2D+2)y=24ex sin3x

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Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

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Q: Transform the polar equation T - 6 csc 0 to an equation in I and y.

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Q: y(2x³ -x²y + y³)dx – x(2x³ + y3 )dy = 0

A: y2x3-x2y+y3dx-x2x3+y3dy=0

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A: We will find that how fast is the height of the cylinder changing at this same instant?Below find th...

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Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

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Q: Determine if the following series converges or diverges. If it converges find its value. n²+ 4n+3 5/...

A: Wi will use partial fraction to solve the given problem.

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

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Q: Lesson 9 1. Consider the graph of f(x) shown in the figure. Investigate the continuity off(x) at the...

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Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: Differentiate (xy)* = e a. y' = Y(1+lnxy) c. y' = Y(1-Inxy) b. y' = x(1+lnxy) d. y' =Y(1+ln xy) y

A: (xy)x=e Take logarithm on both sides: ln(xy)x=lne ln(e)=1: ln(xy)x=1  

Q: FIND THE POLINATIVE. fo = sinx/secx t x² %3D

A: Note:- Here i think problem is Type 1 f(x) = sin(x)/sec(x) +x2  Or  Type 2 f(x) =sin(x) /(sec(x) +x...

Q: A function f(x) and interval a, b] are given. Check if the Mean Value Theorem can be applied to f on...

A: Given: fx=2x3-3x2-72x+10 ; a,b=-6,8   As we know from the Mean value theorem: If f(x) is real-valued...

Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

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Q: 5+ 4- 3 1- -5 /-4 -3-2-1 1/2 3 4 5 -1 -3 -4 -5+ 2.

A: The graph of the polynomial is 

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: Please do number 9

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Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous a...

A: Function limit and continuity 

Q: (S) possit Given In 6=1.7918 and In 23 =3.1355, find the value of the following logarithm without us...

A: We will use the fact that  ln(a/b)=ln(a)-ln(b).

Q: 6. (3y2-x2" = 0 ;when x = 1, y = 1 y5 2y4

A: The given differential equation is 3y2-x2y5y'-x2y4=0; when x=1, y=1  

Q: Solve the differential equation show complete and clear solution no shortcut for the

A: Solution of the problem as follows

Q: 5) Given a curve y = f(x) has a tangent line y = 3x - 4 at a point (- 2, 1) and a tangent line y = -...

A: Topic  = Derivative As per guidelines , At a time only one question can be answered.

Q: What are the critical numbers of the function? f(t)=8(t^2/3)+t^5/3

A: We have to find critical numbers.  

Q: of Find the degree, leading coefficients, and the maximum polynomial. f(x) = 1 - a° + 2a° + 48 Degre...

A: Topic  = Polynomial

Q: LU Factorization Method Example 2 Use Cholesky's LU factorization method to solve the system 16х, — ...

A: Given: Matrix is given

Q: Find the general parametric solution for the augmented matrix form. Identify the homogenous solution...

A: Solution: AX=b A=22341-3,     X=xyz,     b=03

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: For real number p, let f and g be defined by f(x) = e- and g(x) = 1/xP, respectively, on [1, 0). f(x...

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Q: 2 2. x = k +ct y = c²t²

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Q: X1 + 3x2 + 5хз + 7x4 3D 8 7x1 + 9x2 + 2хз + 5x4 3D 0 GAUSS-JORDAN ELIMINATION 2. 5x1 + 7x2 + 7x3 + 7...

A: We can rewrite the equations as follows:-    

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: d the exact value of each part labeled with a variable in the figure. =b fy your answers, including ...

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Q: solve using variation of parameters or reduction of order. (D2 + 1) y = tan x

A: Given (D2 + 1) y = tan x

Q: 4 lim 5. lim + 61 6 lm

A: This question is based on Limits.

Q: For which positive integers k is the following series convergent? Σ (n!)2 (kn)! n = 1

A: We have to find the value of K so that given series converges. 

Q: Question 3 (a) Show that the limit łycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

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