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Q: The concentration of an antihista-mine in the bloodstream of a healthy adult is modeled by C = 12.5 ...

A: 6 hour period means from t=0 to t=6That is from start of the medication to 6 hours after medication...

Q: Find the volume of the solid generated by revolving the region bounded by the curve y = sin x and th...

A: Given:Find the volume of the solid generated by revolving the region bounded by the curve y = sin x ...

Q: A young person with no initial capital invests k dollars per year at an annual rate of return r. Ass...

A: The rate of change of the sum is equal to the percentage of the sum at that time plus the amount he ...

Q: Two ladders of length a lean agains opposite walls of an alley with their feet touching. One ladder ...

A: The problem can be depicted as shown below,

Q: Find the arc length function for the graph of ƒ(x) = 2x^(3/2) using (0, 0) as the starting point. Wh...

A: Given:

Q: A painting attributed to Vermeer (1632–1675), which should contain no more than 96.2% of its origina...

A: To determine the time (in years) of forgery, A painting attributed to Vermeer (1632-1675), which sho...

Q: The marginal cost of printing a poster when x posters have been printed is dc/ dx =1/(2(sqrt(x)) dol...

A: It is given that, the marginal cost of printing a poster when (x) posters have been printed is

Q: y″ + y′ − 6y = 0

A: given:

Q: Find the area enclosed by the ellipse x2/ a2 + y2 /b2 = 1

A: Given,

Q: If a force of 90 N stretches a spring 1 m beyond its natural length, how much work does it take to s...

A: you haveto find the spring constant k to in order to find the work using F=kx Given that F=90 and x...

Q: y′=(3x2−ex)/(2y−5),y(0)

A: Given,

Q: For the function f,Construct and simplify the difference quotient f(x+h)-f(x)/h

A: Given:

Q: The U.S. Census Bureau keeps a running clock totaling the U.S. population. On September 20, 2012, th...

A: Consider t be the time in years after the September 20, 2012 at 8.11 p.m. EST and y(t) be the corres...

Q: Find the center of mass of a thin plate covering the region between the x-axis and the curve y = 2/x...

A: Click to see the answer

Q: A force of 200 N will stretch a garage door spring 0.8 m beyond its unstressed length. How far will ...

A: Given information:

Q: Find the difference quotient g(x)=1/x^2 (g(x)-g(6))/x-6 x cannot =6

A: Plug x=6 in g(x) and find g(6)

Q: In the fucntion: f(x)= (12-3x)(e^x) When is the function concave up and concave down in interval n...

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: Graph the given equation. 2x = 3

A: Click to see the answer

Q: A square of side length s lies in a plane perpendicular to a line L. One vertex of the square lies o...

A: a) It is given that, the square of side lengths lies in a plane perpendicular to a line L. One verte...

Q: Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is...

A: Click to see the answer

Q: How do you simplify the expression cosx/1+sinx + 1+sin x/cosx and the expression tanx - sec2x/tanx

A: Given:[a]:

Q: Derive the formula for the volume of a right circular cone of height h and radius r using an appropr...

A: Given information:

Q: solve the differential equation. y cos2 x dy + sin x dx =0

A: The given differential equation is,

Q: Find the length of the curve y = ln (1 - x2), 0<=x<=1/2

A: Given:

Q: Find the area between the x-axis and the curve y = sqrt(1 + cos 4x), 0<=x<= pai

A: Click to see the answer

Q: find the center of mass of a thin plate of constant density d covering the given region. 1. The regi...

A: Given information:

Q: Solve the initial value problem and determine the interval in which the solution is valid.Hint: To...

A: Click to see the answer

Q: Find the surface area of the cone frustum generated by revolv-ing the line segment y = (x/2) + (1/2)...

A: Given:

Q: Solve by completing the square: 1/3 - 4/3x = 7/x

A: Multiply both sides by 3x and simplify.

Q: A rock is thrown upward from a bridge that is 47 feet above a road. The rock reaches its maximum hei...

A: Click to see the answer

Q: find the volume . The base of the solid is the region bounded by the parabola y2 = 4x and the line x...

A: The base of the solid bounded by the parabola y^2=4x and the line x=1. And each cross section perpen...

Q: Find the length of the curve y = ln (sec x), 0<= x<= pai/4

A: Given,

Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: An electric elevator with a motor at the top has a multistrand cable weighing 4.5 lb/ft. When the ca...

A: Given,

Q: Find the areas of the regions enclosed by the curves in Exercises 83–86. 83. 4x2 + y = 4 and x4 - y ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: find the volume . The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pa...

A: Given: The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pai/4. The cr...

Q: Find the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the cur...

A: the area of the region in the first quadrant bounded by the line y = x, the line x = 2, the curve y...

Q: graph the function and find its average value over the given interval. 1. ƒ(x) = x2 - 1 on [0, sqrt(...

A: Click to see the answer

Q: Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The sprin...

A: given Suppose a 1.6-oz golf ball is placed on a vertical spring with force constant k = 2 lb/in. The...

Q: a. If (ln x)/x = (ln 2)/2, must x = 2? b. If (ln x)/x = -2 ln 2, must x = 1/2? Give reasons for your...

A: Given:If (ln x)/x = (ln 2)/2, must x = 2? ……... (1)If (ln x)/x = -2 ln 2, must x = 1/2? …….. (2)

Q: a. A hemispherical bowl of radius a contains water to a depth h. Find the volume of water in the bow...

A: a) The radius of hemispherical bowl is a and contains water to a depth h.Obtain the volume of water ...

Q: Use the definitions of cosh x and sinh x to show that cosh2 x - sinh2x = 1.

A: To show that cosh2x - sinh2x =1.

Q: The Cinema Center consists of four theaters: Cinemas I, II, III, and IV. The admission price for one...

A: Click to see the answer

Q: Find the volume generated by revolving one arch of the curve y = sin x about the x-axis.

A: Let the bounds of one arch of the sine curve be 0 and pi. Then, the volume generated by revolving on...

Q: Use the theorems of Pappus to find the lateral surface area and the volume of a right-circular cone.

A: To determine the lateral surface area and volume of right circular cone.

Q: find the areas of the surfaces generated by revolving the curves about the given axes. 27. x = 24y -...

A: To determine the surface area of solid of revolution about the y-axis.

Q: The region in the first quadrant that is bounded above by the curve y = 1/x^(1/4), on the left by th...

A: Graph the situation using graphing calculatorWe have to rotate the shaded region.

Q: How do you define and calculate the area of the region between the graphs of two continuous function...

A: Definition:

Q: ii Sketch y = f(x), y= f¯'(x), and y = x _on the same set of axes.

A: Click to see the answer