If 7 1/2 yards of varnished cambric (insulation) cost $22, what is its cost per yard

Q: Solve the given differential equation by undetermined coefficients. y" + 5y' + 4y = 12 y(x) =

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A: The given curve is

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A: Let To find .To find .

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A: Given: The data are modeled by the following quadratic function, where  corresponds to 1990 and  is…

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Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

A: The solution is shown in step-2

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Q: Find the area that the curve encloses and then sketch it. 2 = 10 cos(20) L h hi -2 c y N 1 2 X 3 -2…

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Q: The diagram that has a limit at x = a is O O O a a a TH FOT

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Q: Find the second derivative d²y/dx² of the function defined implicitly by the equatio x1/3 + y¹/3 =…

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A: The radius of the disk is  The height of the disk is The lower and upper limits of y is

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A: Given data

Q: Find the derivative of the function. f(x) = (2x - 3)¹(x² + x+ x+1)5

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Q: Make a sign diagram for the derivative of the rational function. 16 x²+2x-3 ---Select--- ✓ relative…

A: The given rational function is

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A: The solution is shown in step-2

Q: Find the point on the line - 5x+ 7y- 2 = 0 which is closest to the point (-4,1).

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Q: If f(x) < g(x) for all x # c then limit of f(x) at c is less than the limit of g(x) at c.

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Q: 5. Find the area of the region enclosed by the graphs of y-√+1 and y-jz-2 and vertical lines - 1 and…

A: To find the area of the region enclosed by the graphs of  and  and vertical lines  and .

Q: O 5 4 342 1 I + + 0 1 2 f(1) = y = f(x) lim fx x-1- lim x-1+ lim fx fx = = T || 3 I + 4 A/ I 5 Enter…

A: Limits

Q: 4 3 लत 2 1 -2 -3 -4 Determine the period. 4 co 8 12 16 20 24 28 Enter

A: The solution is shown in step-2

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Q: 2√3+√7 Rationalize the numerator and simplify 5

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Q: dA (a) If A is the area of a circle with radius r and the circle expands as time passes, find in…

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Q: Let ƒ(x) = 6x¹√√x + f'(x)=27x 2 x²√x 5 27x² + x-3-4-² 2 4 X

A: The solution is shown in step-2

Q: Use the laws of logarithms to write each expression as a single logarithm. (a) 3log(x) - 4log(y) =…

A: We can use properties of logarithms1. log a + log b= Log (ab)2. log a - log b= log (a/b)3.  n log a…

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Q: Example 0.10. Evaluate | 1² dz

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A: Given functions:-

Q: Solve the initial value problem. 36. dy/dx = 1x^3 + x,  x > 0;  y(1) = 1 37. ds/dt = cos t - sin t,…

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Q: Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=24.…

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Q: Solve the given differential equation by undetermined coefficients. y" - 6y' + 9y = 9x + 7 y(x) =

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Q: Solve the given initial-value problem. y(x) = y" + 4y' + 5y = 35e-4x, y(0) = -6, y'(0) = 1

A: Differential equation:-Initial conditions:-

Q: Find the critical points of the functions f (x, y) = x² + 2y² - 4y + 6x, g(x, y) = x² – 10xy + y Use…

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Q: Find the area under the graph of f over the interval [-1,5]. ²+3 x≤3 4x x>3 f(x) =

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Q: √x + 1 - 1 X

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