A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides form an angle that measures 42*. To the nearest tenth of a foot, how long is the third side? feet Length of third side s

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A: I have stated the used formula in the solution

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Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: This question can be solved using the concept of graphs and derivatives.

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: number of uppercase = 26 number of consonant = 21  Number of digits = 10

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A: given function is f(x)=6x+4, if x&lt;05x2-3,if x≥0 so we calculate the values of f(x) for few values…

Q: || 21*y dA, R is bounded by the parabolas y = 3r* and y = 16 – r*.

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Q: A slope field is shown for which of the following differential equations? 5 y -2 -1 = ex dx O dy dx…

A: Solution: Given data, According to the given options generate the slope filed .

Q: 9) Sand falls from an overhead bin, accumulating in a conical pile with a radius that is always…

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Q: (B) Define the integral domain ring. Is the product of integral domain rings also an integr domain?

A: Integral domain: Integral domain is nontrivial ring with unity, containing no divisor of zero.

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

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Q: Use substitution to find the indefinite integral. 6 10(1

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Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

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Q: Construct YOUR OWN example of how to determine the derivative of a given function and the process…

A: To write an example to how to find out the derivative and anti derivative.

Q: Given the function f defined as: f: R-(2} R X+4 f(x) = %3D 2x-4

A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

Q: #Caleulate le' ter which es natural s oll exponentibel fuenebin/ sdou steps

A: We know that,  ∫eax dx =eaxa+C

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A: Water molecule have an enormous amount of inter-molecular forces.  10 liters of water would spread…

Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: y2+x2 5- y' %3D y(1) = -2 xy

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Q: A Evaluate the following integrals. 1. fx² In x dx 2. S tan-ix dx

A: Let I=∫ x2lnxdxApply integration by part,I=ln(x)∫x2dx-∫ddx(ln(x)∫x2dxdxApply power rule…

Q: -9dx xVx2-9

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Q: An earthquake was recorded with an intensity which was 630,957 times more powerful than a reference…

A: Given that I=630957×I0

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Q: 5) A cup of coffee cools at rate proportional to the difference between the constant room…

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Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: Find the Integral. (Use C for the constant of Integration.) dx

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Q: 2. Define f, g: R → Ras if x 3 %3D and g(x) = 8x – 1. Flnd f •g and gof.

A: (fog) (x) = f(g(x))                = f(8x-1) =(8x-1)^2  if x&lt;-1                                =…

Q: 8) Evaluate [[dA ,R: 1s quadrant bounded by y = x & x' = y 9. R In 8 Iny 4) e*+y dxdy

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: 1. A vector is: a. a quantity whose magnitude can be completely specified by a number b. a quantity…

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Q: The interval of convergence of the series (4x-12)" is Zn=0 -3)-+" (n+1) Select one: True O False

A: We can find the interval of convergence by using the ratio test .

Q: A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tan x, cos…

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Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: Here, we want the two real numbers, suppose x and y, such that  x+y=46 And, the produce xy is…

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

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Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: FIND THE DIVERGENCE AND CURL OF U = i (x 2+ yz)+j Cy?+Zx) t K (z?+xy] %3D

A: Given :u=i x2+yz+jy2+zx+kz2+xy.We need to find the divergence and curl of u.