Enclosing the Largest Area The owner of the Rancho Grande has 2,956 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions (in yd) of the largest area he can enclose? shorter side yd longer side yd What is this area (in yd?)? yd2

Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

A:

Q: Write out the form of the partial fraction decomposition of the function: (x^4-2x^3+x^2+4x-1)/(x^2-2...

A:

Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A:

Q: 25. Evaluate the following definite integral 10 a) S" V5x – 1 dx b) Sz sin 2x dx

A:

Q: Find the indicated vector. Let u = (-3, -9). Find -4 u. O (12, 36) O (-12, 36) O (12, -36) O (-12, -...

A: We have to find out vector

Q: The form of the partial fraction decomposition of a rational function is given below. 16 – (x² + 10x...

A:

Q: B. A discrete random variable X has the lollowing probability distribution: 1 1 2 P(X) y 9. 9. 1. Fi...

A: use the basic  property of probability 

Q: (6) Find the volume of the solid obtained by revolving the region between y = y = e¬¤ for 0 <x < ÷ a...

A:

Q: Simplify the expression tan (sin- (-)). Provide your answer below:

A: Given that tansin-1-1237Solution :tansin-1-1237tan-sin-11237       sin-1-θ=-sin-1θ-tansin-11237     ...

Q: 2. f(x) = Vx – 1 at x = 5

A: Function is continuous and differentiable both at x= 5.....for detail...go through the solution

Q: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

A:

Q: Evaluate: O-0.05+j0.602 O -0.05-j0.602 O 0.05+j0.602 0.05-j0.602

A: To find: jjjj We'll use the formula: j=ejπ2.

Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

A:

Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

A: Decay function is given by y=a(1-b)t where a is initial amount          b is decay factor          t...

Q: — 4т + 10у — 6 2 — 5у — 3

A:

Q: Consider the integral x²1 – 6x14 + 8x7 – 26 dx (x³ – 4x² + 3x)° (x+ – 81)² Enter a T or an F in each...

A:

Q: Find the derivative of the function. g(x) = log,(x) g'(x) =

A:

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u cos...

A:

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

A:

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a. ...

A: h(x)=fgx and px=gfx

Q: Find the derivative of the function. g(x) = 3(4 – 7x)* g'(x)=

A: We have to find g'(x).

Q: The rate of fingernail growth depends on many factors, but in adults nails grow at an average rate o...

A: The solution is given below.

Q: What is the amplitude and period of the function f(x) = cos(6x)? Provide your answer below:

A: for f(x) = Acos(bx)amplitude is given by Amplitude: Aperiod is given by   p = 2πa  

Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

A:

Q: Solve the following equation on (-0,00) 2 cos? 3x + sin3x = 1 %3D

A:  Solve the following equation on (-infinity, infinity)  2cos2(3x)+ sin(3x)= 1 

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: Find what value of c does L dx = 1 ? x4 Answer:

A:

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: Find the derivative of the function. f(x) = 8(x3 - x)4

A:

Q: 3. Determine whether or not each equation is a function. Justify your answers. a) y =- 2x + 5 b) x? ...

A:

Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: cos x tan x a) lim x→0 2x (x2 b) lim sin(x-) 4 x- 4

A:

Q: 27. Use the disk method to find the volume of the solid generated by the region bounded by the line ...

A:

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

A:

Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: 16 d.x x² Va2 + 49 Evaluate the integral: (A) Which trig substitution is correct for this integral? ...

A:

Q: dy 4x+xy? dx

A:

Q: QUESTION 4 Differentiate a) e8xcosx b) lnx sinx

A:

Q: A company produces a special new type of TV. The company has fixed costs of $491,000, and it costs $...

A: We have to find the profit

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u = c...

A:

Q: The population of a city is 140,000. It declines continuously by 3% per year. Assuming this trend co...

A: We can find the final population as below.

Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

A:

Q: What is the amplitude and period of the function shown below? 7. 6- 5. 4- 3- 2- 1, 4 6 -1- -2- -3 -4...

A: The amplitude of a function is the amount by which the graph of the function travels above and below...

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

A:

Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O...

A:

Q: The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph ...

A: