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Q: Determine the amplitude and period of the following function. Then, graph the function. y sin 6x The...

A: Known fact: For the function y=AsinBx+C+D, Amplitude is A period is 2πB.

Q: Find the accumulated amount A if the principal P is invested at the interest rate of r/year for t ye...

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Q: Help! Please and thank you! Problem is attached!

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Q: Evaluate the definite integral using the given values

A: Given: ∫26x3dx=320, ∫26x dx=16, ∫26dx=4 We have to evaluate ∫266x-18x3dx Solution: ∫266x-18x3dx=∫266...

Q: Let f (x) = -x°(x + 27)³.

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Q: Use properties of the indefinite integral to express the following integral in terms of the simplest...

A: Given: ∫-4x2+7x dxProperties of the Indefinite Integral:∫cfx dx=c∫fx dx∫fx+gx dx=∫fx dx +∫gx dx

Q: The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H = 19+2 sin t ...

A: Given: The height of the water, H, in feet, at a boat dock t hours after 6 A.M. is given by H=19+2si...

Q: . (1’) Let f be the functionf(x) = x^2 +36/x^2(a) Calculate f'(x) and find all stationary points for...

A: Solution - Given function - f(x)=x2+36x2 a.) f'(x)=2x+36-2x-2+1 f'(x)=2x-72x =2x2...

Q: Find the coordinates of a point P on the line and a vector v parallel to the line x = 3 − t, y = −...

A: Given : Vector v parallel parallel to the line x=3-t, y=-1+2t , z=-2.

Q: t00 dx 1+x?

A: Given:=∫2∞x1+x2 dxIntegration formula:∫xn dx=xn+1n+1

Q: A trucker handed in a ticket at a toll booth showing that in 2 hours she had covered 159 mi on a tol...

A: Given: A trucker handed in a ticket at a toll booth showing that in 2 hours she had covered 159 mi o...

Q: – 3x Find the relative rate of change of f(x) = 6+ 3 e -

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Q: Help with #1

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Q: For the function f(x) = 2x^2 +7x –6 Find the slope of f(x) at x = 6

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Q: A boat heads in the direction N 78° E. The speed of the boat relative to the water is 23 mi/h. The w...

A: Let us consider the following notations, velocity of boat=vb→ velocity of water =vw→ velocity of bo...

Q: Multiply or Divide : (x2 - 5x - 24) / (x2 - x - 12) ÷ (x2 - 10x + 16) / (x2 + x - 6)

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Q: Find the derivative. dy if y(x) = /x2 + 12 dx dy dx

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Q: Find the inverse of y = x2 – 4x + 12 ; x > 2

A: To find the inverse, we need to find x from the equation. For checking, f(g(x))= g(f(x))= x

Q: The equation 3x2 - 2√3xy + y2 + 2x + 2√3y = 0 is in the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0. Use ...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: I need help with 2b if you need more information look at number 1

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Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: Shot put In Moscow in 1987, Natalya Lisouskaya set a women’s world record by putting an 8 lb 13 oz s...

A: Given, Natalya Lisouskaya set a women’s world record by putting an 8 lb 13 oz shot 73 ft 10 in. la...

Q: The point (a, b) is on the graph of a function. Find the coordinates of a second point on the graph ...

A: Given point (a, b) is on the graph of a function. To find other point on the graph if, a) The func...

Q: Find g(3).

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Q: The formula E = 1000 (100 − T) + 580 (100− T)2 is used to approximate the elevation (in meters) abov...

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Q: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is stay...

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Q: Given ∫(−6x6−4x5+5x−3)dx, evaluate the indefinite integral. Do not include +C in your answer.

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Q: Find any relative extremes of the functions and use a graphing utility to confirm your results. f(x)...

A: Given: f(x)=xcoshx-1-sinhx-1 Concept: Critical Point:x=c is called critical point of f(x) if eitherf...

Q: Consider a particle traveling clockwise on the elliptical path x2/ 100 ...

A: Given: x2100+y225=1 or x2102+y252=1 Leaving point of the particle from the orbit (−8,3)

Q: ) Find the quantity that will maxim | units ) Find the selling price at this optin | per unit ) What...

A: The weekly demand function for x units of a product sold by only one firm , p=900-12x dollars . The...

Q: The vehicle was valued at 32,000 in the year 1994. The value depreciated 13,000 at 2007

A: Given that: A car was valued $ 32,000 in the year 1994. The value depreciated to $ 13,000 by the yea...

Q: please very soon full explanation. A truck driver recently drove a truckload of Kingsville tomatoes...

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