A gardener wants to enclose the area outside of his house for his plants and flowers. One side will be the wall of his house, the other sides will be fenced with Wooden planks. Determine the dimensions of the fence to achieve maximum perimeter if the area outside is 150 m.

Q: 3. f(x)=2cot(x-→+1 Period: f(x) Vertical Shift Horizontal Shift Start End: Increments:

A: According to question,Given function,fx = 2 cotx - π2+1

Q: ly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it is coo...

A: Topic:- algebra

Q: Use the difference an+1 – an to show that the given sequence {a,} is strictly increasing or strictly...

A: This question is related to infinite sequence, we solve it using given information.

Q: Compute the work done by the vector field F(x, y) = (ry, x² + y³) when moving a particle counter-clo...

A:

Q: 46 csc B tan B = tan B csc B sec B cot B

A:

Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250°

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: An air traffic controller is monitoring two small planes flying at the same altitude. One is flying ...

A:

Q: f(x) 1 and g(x) = 2x 1 and h(x) = 1 4x-1 flglh(x)]] = -3 1 3 1 3

A: Use function property

Q: Let m(t) be a function with the values given in the table below. t 1 2 3 m(t) | 100 | 1600 | 25600 |...

A:

Q: (2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to th...

A:

Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

Q: tanh r 4. lim -40+ secha - 1

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(−1, 5...

A: Given, Centre =C(-1,5,4) And Radius , R=4  

Q: Let f : R → R be the function defined by 1 f(x) 2* a) Is ƒ is one-to-one? If yes, then explain why. ...

A:

Q: e a calculator to evaluate. Round values to three decim: nsider the correct angle mode. sin-1 tan- (...

A:

Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

A:

Q: y' +y = -x®y5 will be transformed to the following 8.

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation ...

Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" = ...

A: As per guidelines we will solve only  the first question  in the following step. If you want more an...

Q: The Pacific halibut fishery has been modeled by the differential equation dt where y(t) Is the bioma...

A: the solution of equation y(t) = M/(1+Ae-kt) where A = (M - y(0))/y(0)            A = (9 * 107 - 2*10...

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: 1 dx -1 2x+3 a.

A:

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0and above by ...

A: Given that a solid is bounded by the xy plane i.e. z = 0 and above by the Paraboloid z = 25 - x² - y...

Q: Suppose that f(x) is a function with f(145)=31 and f' (145)= 9. Estimate f(149.5) f(149.5) = ______

A:

Q: 1. S xª –1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Is G-1 a function and why/why not? Yes, no two ordered pair...

A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

A:

Q: Find the exact length of the curve. v= In(1 – x²). y 0 <x < 1 In(|3|) - 8.

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

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and then find the nth Taylor ...

A: The taylor series polynomial of f(x) at x=x0 is given by:                        f(x) = ∑r=0∞f(r)(x0...

Q: (b) What is the equivalent annual interest rate? (Round your answer to two decimal places.)

A:

Q: How fast is the volume of a sphere changing when the radius is 20 cm if the radius is changing at th...

A: We will find the rate of change of volume of sphere at a given radius. 

Q: sin e cos e Choose the best answer: sin (0 - 1)

A: Trigonometry 

Q: use rules of differentiation, find the derivative

A: Given y=4log3x2

Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

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Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL J...

A:

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

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

Q: 5. Find the critical point or points for eorh of the following outonomous system. Then match each pa...

A:

Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250° Convert each radian ...

A: As per guidelines we can answer we can answer only one question at a time, so question no 13,14,15 a...

Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

A: The given function,   f(x)=eax

Q: b) f(x) = cot-1(x²) %3D

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent...

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Q: 3 dy dx • Find given y = + 10 and u = x+1

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 4...

A: Taylor's series about x=x0 for the function ex; x0=4

Q: The equation æ? + y² – z² = 1 in R³ describes %3D

A: Find your answer below 

Q: F = {(-3, 0), (4, 2), (-1, 2), (2, 2)} Is F a function and why/why not? No, each set of ordered pair...

A:

Q: 55. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimi...

A:

Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

A: