x(х + 1)(х — 2) 54. у 3 %3 (x? + 1)(2х + 3)

Q: Consider the following integral: dx I = Vx - x² a. Use the substitution u = x - ; to show that I = s...

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Q: Given the function g(t) = (t-4)(t+3)(t-1) What is It’s g - intercept is: What is It’s t- intercept i...

A: The objective is to find g - intercept and it’s t- intercept .

Q: Given that y" = 2x, find the value of y when x = 3 if the curve passes through the point (-1,); and ...

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Q: A volume is described as follows: e2.2x 2.2x2 + 0.4 and x = 13; 1. the base is the region bounded by...

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Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

A: We know that the BODMAS operation; Bracket  or → order  or x2.. →Division ÷ → Multiplication × → Add...

Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: secx dx csc x 4

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Q: (カナ) 2.

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Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: 33x+15 h(x) = x*+11x

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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: 1 dr r/1+ x6 (use trigonometric substitution) 3.

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Q: -4 -3 -2 -1 4 2.

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Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

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Q: x3 + 2x2 – 7x 7. lim X1 X -3 x³ + 2x + x .2 8. iim 2 x - x - 3 .2 x3 + 2x + x 9. lim х-3 2х2 — 2х — ...

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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 -...

Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: Use the parallelogram law to verify the triangle inequality |u + v| < Ju] + ]v[ for the given comple...

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Q: Ek=1(-1)k-1_7 9k-1 Determine whether the series converges and if so, find its sum. O 1/2 63/8 63/10 ...

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: The demand x is the number of items that can be sold at a price of $p. For x p" implicitly 7p+600, f...

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

A: Given: Matrix is given

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (a)  ...

A: Follow the procedure given below.

Q: 6. A water tank is shaped like a cone with the apex point at the bottom, where the cone has radius 5...

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Q: Make a hyperbolic parabloid

A: Here is the image 

Q: Show if the differential equation is exac

A: Given that: (2x3-3x2y+y3)dydx=2x3-6x2y+3xy2

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A: We have to find the equation of normal and tangent line. 

Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: Series  convergence and divergence 

Q: Find the average velocity over the interval [1,4] Find the average velocity over the interval [1,1 +...

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Q: Get the derivative of dz/dx. XY z =

A: Here we will find the derivative dz/dx,

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: Differentiate...

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Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

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Q: es from the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected V...

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Q: 4x3 + 2x + X 4. lim X→-4 X -3

A: 4. As per our guidelines we are suppose to solve only first question if the multiple questions are p...

Q: h(x) = [square root] 5+4f(x) f(4)=5 f'(4)=2 find h'(4)

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Q: 2 sec wdw a) 1

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Q: dw 12. Let w = xey/z. Find the value of -at x = t?, y = 1-t z=1+ 2t dt

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Q: Find an exponential function of the form P(t) = Pon' that models the situation, and then find the eq...

A: topic - exponential function

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

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Q: Consider the following function. s(2) = { 16 , 0 %3D (a) Find the critical numbers of f. (Enter your...

A: NOTE: Refresh your page if you can't see any equations. . the first function is 

Q: Write the first five terms of the sequence: {Vn² +7n – n}, Determine whether the sequence converges,...

A: Objectives to write the first five terms of the sequence and find the limit of the sequence. Finally...

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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