Let f(x) = 2e-3x², in its domain a) f has a local minimum. b) f is a bounded function. c) f is a concave function. d) f is a convex function. e) f is a monotone function.

Q: A chain lying on the ground is 10 m long and its mass is 80 kg. How much work (in J) is required to…

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Q: A bungee jumper dives from a tower at time t = 0. Her heights in feet at time t in seconds is given…

A: A bungee jumper dives from a tower at time t=0. Her height s in feet  at time t in seconds is given…

Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

Q: Using derivative rules (NOT definition of the derivative), prove that (secx)' = sec x tan x. Hint:…

A: We have to prove that secx'=secx·tanx, by using the derivative rule without using the definition of…

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The graph below shows the profits of a small home business for the years of the decade of the…

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Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = − 6, u' (0) = −…

A: Answer: As per the guidelines we can solve only first three subparts, so post other parts…

Q: Find the general solution of the differential equation: What is the integrating factor? μ(t): = Use…

A: The given differential equation is;  dy/dt - 3y/t = t3et.

Q: Let f(x) X→ 1- = (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) =…

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Q: Suppose the demand for a certain item is given by D(p)=-5p²-6p+800, where p represents the price of…

A: Given demand function D( p ) = -5p2 - 6p + 800 where p = price of the item in dollars

Q: Suppose the speed of a car approaching a stop sign is given by v(t) = (t-20)², for 0 st≤ 20, where t…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: To integrate: ∫x2+2x-25(x+2)(x+10)(8x-2)dx

Q: Q.#8 To date, we have used the standard form of the Chain Rule: [f(g(x)]' = f'(g(x)) g'(x). used by…

A: h(x)=f(g(x))=(3x+5)3  f(g(x)'=f'(g(x))g'(x)

Q: of Əf Find and əx dy f(x,y) = √2x² + y²

A: 1) f(x,y)=sqrt(2x2+y2) 2) f(x,y)=x3-6xy+7y2.

Q: f(x) = 9 x ,X #0

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Q: Evaluate the limit (3+7x) lim x48 4+6x² Use oo if the limit is ∞ and -oo if the limit is -∞. =

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Q: Solve the equation. Make sure to check for extraneous solutions A) 4x^2-5= 2^9x+1 B) 3^x= 9^-x+5…

A: see below the answer and calculation

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

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Q: x = 2y² - 2z² (Write an equation for the cross section at z = -1 using x and y.) (Write an equation…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Hi! Why is the answer not u(t) = 1+4e/e^tant ? Why did was the e removed from the equatio

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Q: a parabola which opens downward with endpoints of latus rectum in (-3,3) and (3,3) what is the…

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Q: Convert the point from rectangular coordinates to spherical coordinates. (−5, −5, sqrt(13))

A: Given query is y to find spherical coordinates.

Q: Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2=…

A: Given that , z1=3cis30° and z2=4cis-120° Convert to rectangular form. Then graph both complex…

Q: 67 n+1 Does the series Σ converge or diverge? n=1

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Q: 3. Assume that f and g are entire. Use the definition of the derivative: f(z)-f(zo) 2-20 f'(20) =…

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Q: Estimate the area under the graph of the function f(x)=√x + 6 from x = -3 to x = 4 using a Riemann…

A: We need to find out the area under the graph of the function for the given function by using a…

Q: A homeowner wants to enclose three adjacent rectangular pens of equal size, as in the following…

A: Let suppose  Length of rectangular pen = x feet Width = y feet Now perimeter x+x+y+y+y+y = 360 feet…

Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

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Q: y = [x + (x + sin²x)'] h) y=x+ Final Answer

A: Given query is to find the derivative.

Q: Let the polyhedron P be defined by x1 + x₂ + x4 ≥ 2 -x1 + 2x2 4 3x2 - x3 ≤ 7 x3 + x4 -1 x2 > 0 X3 20…

A: Given: let the polyhedron P be defined by  x1+x2+x4≥2-x1+2x2≥43x2-x3≤7x3+x4≥-1x2≥0x3≥0

Q: 15. x = 2√y, x = 0, y = 9; Answer 162T about the y-axis x=0 0 y=9 (6,9) x= 2√√/y

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: The area of the sector of a circle with radius 10 meters formed by a central angle of 175° is square…

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Q: The magnitude R (on the Richter scale) of an earthquake of Intensity / is defined as (7) ► where Io…

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Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter 'o'…

A: Given:

Q: Give reasons for each of the following steps. Use the given list of reasons on the right and enter…

A: Please see the below picture for detailed solution.

Q: Əw Find when r = 5 and s= -5 if w = (x+y+z)².: x=r-s, y = cos (r+s), z = sin (r+s). ər aw ər -0 r =…

A: Given;  w=(x+y+z)2, x=r-s, y=cos(r+s), z=sin(r+s).

Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A: Given query is to find indicated derivative.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: A fluid moves through a tube of length 1 meter and radius r = 0.002 0.0002 meters under a pressure =…

A: Given η = π8pr4νr = 0.002 ±0.0002p = 1.105 ± 2000ν = 0.375.10-9

Q: The population of a city is tripling every 7 years. If its current population is 18,000, what will…

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Q: Find an antiderivative of the function f ( x ) = (2x + 1) ¹/².

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Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

Q: Carry out three steps of the Bisection Method for f(x) = 3ª − xª as follows: (a) Show that f(x) has…

A: Let's find intervals which contains zero of function by using bisection method.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Sketch of the region: It is forming a disc. So disc method is used.

Q: 25. y = 3, y = 1 + secx, - π/4 X π/4 about y = 1 Answer 2 (3-√3) (-3) y = 3 y=1+ secx

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Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

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Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: Pls do fast and i will rate instantly for sure solve inequality 2x^(3)-5x^(2)>=x+6 by considering…

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Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…