I have 1 yard piece of fabric with 45 inches width. I am planning to make hand towels out of it. If my hand towels

Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)...

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Q: complementry function for this DE  12.7y" + 68.58y' + 153y = 0.289(y+1)

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Q: Evaluate the integral V5+ 12x? - 4x xdx O 1 (2x2 – 3)/5+12x² – 4x4 + 14Arcsin V14(2x² – 3) +C 14 -3)...

A: Using integration of square root of a2 - x2

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A: Given query is to find the the interval where function is increasing and decreasing , and find its r...

Q: A curve has an equation of y x - 6x + 9x + 2. Find the point of inflection of the curve. Оa.(2, 4) O...

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Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: 16. Explain the squeeze theorem using any example of your choosing.

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: The length of string is 48 cm.Let the length of the one piece is x,Suppose, equilateral triangle wit...

Q: ue Theorem on the given interval? ction satisfies the Mean Value Theorem. continuous on [0, 3] and d...

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Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

Q: Given: x2 dx Find: Formula o fa"du q"du o fe"du "du

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Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

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Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how fas...

A: We have to find how fast balance will grow per year after 4 year

Q: 14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

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Q: dx Given: 2x- 3xlnx Find: du dx dx 3 X

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Q: ex Given: 5e-x- 6e-3x Find: u 5e-x- 6e-3x 5-6е-2х 5e-X - 6e-3x 5e2x – 6

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Q: The graph of an everywhere differentiable function is shown below. Use it to select the correct ineq...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e; xo = 10 O 00 e10 E* ...

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Q: Scos(cos2x) sin2x dx Given: Find: du О 2cos2x dx -2sin2x dx -2cos2x dx 2sin2x dx

A: The solution is given in the next step.

Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 2x b) f(x) = ...

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Q: ind the values of c that make f continuous everywhere: { Sa² – c² if x 3

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Q: Evaluate :// F. d5 , where F = and S is the helicoid with vector equation r(u, v) upward orientatio...

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Q: 1 Evaluate the integral I+2/3 dr.

A: We have to find value of given indefinite Integration.

Q: a. The graph of a monomial function f is shown below. 25 20 15 10- 5 -5 -4 -3 -5 -10 -15 -20 -25 Com...

A: Please see the below picture for detailed solution. 

Q: 15 x 15

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Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

A: We have to first find improper Integral then we have to evaluate it.

Q: r(x) = (/2x + 1 - x²)-1 r'(x) =

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

Q: SV5+12x? - 4x4 xdx 2x2 - 3 (2x2 - 3)/5+ 12x? – 4xª + 14Arcsin V14 +C O (2x2 - 3)/5+ 12x² – 4xª + 14I...

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Q: (x²-xy-y²\ (x2-ху-у?) dy = 0 dx + r2-v3

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Q: dx Evaluate 2 xV x2 - 4 4 O O

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Q: Evaluate the following. Use the graph of f(x) to evaluate the following expressions. (4, 5) (1,5), (...

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Q: Evaluate the integral 3e2x 2e-2x 1 In vZe-2x + /2e-4x – 3 +C 2/7 - 2x 2/3e2x - 2e-2x+C -등 Arcsinl VZ...

A: Explained below 

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: You may/ma...

A: Equation of tangent at point a,b with slope ,dydx.y-b=dydxx-a1. y=6x2+1    ; 1,3dydx=6×-1x2+12×2x=-1...

Q: Evaluate the integral dx 3e2x - 2e-2x 1 VZe-2x + /2e-4x - 3+C 2/2 1 -Arcsin V2e-2x +C V3 2/3e2x - 2e...

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x2 + y2 + x²y + 5, D = {(x...

A: The given question has been solved in detail Absolute Maximum value is 8 Absolute Minimum value is 2...

Q: dx Given: 2x-3xlnx Find: du dx 3 dx dx dx

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Q: Solve the differential equation with appropriate method. Express final answer free of fractions and ...

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we h...

Q: Given: [ Scos(cos2x) sin2x dx Find: du O 2cos2x dx O -2sin2x dx -2cos2x dx O 2sin2x dx O O

A:     ∫coscos2xsin2xdxLet u=cos2x.So,     du=-2 sin(2x) dx

Q: Suppose that f(x, y) = 5x + 2y on the domain = {(x, y) | 1 < æ < 2, a² < y < 4}. D D Then the double...

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Q: sec? x 4 dx- Evaluate 1-tan x O 2 O -2 O -1 O 1

A: The given integral,        ∫0π4sec2x1-tan xdx

Q: secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

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Q: 23t2 – 4e2t

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Q: Homogeneous Equations [x csc() – y] dx + xdy = 0 O In = cos() In/cos(;)| = = CX

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Q: e Σ k=1 3.

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Q: sec? x 4 TT dx- Evaluate 1-tan x O 1 O-2 O 2 O-1

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Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4  

Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

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Q: z8 – 6z° + 4z° – 2 -dz z*

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Q: Vi +* +! dt f(x) = t2 a) Find f(2) Answer (Enter a number rounded to 2 digits after comma): f(2) = 4...

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Q: Evaluate the integral tan 4x dx tan? 4x 24 O 1 sec 4x Arcsec + C - Vtan? 4x – 24| +C n tan 4x + 1 -A...

A: