Find the x-value corresponding to the absolute minimum value of f on the given interval. (If an answer does not exist, enter DNE.) on (0, ∞) X = f(x) = 4x30 e5x

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Q: 1. Solve the ODE by integration. a. y' + 2 sin 27x = 0 c. y' = -1.5y C. b. y' = y

A: To solve the following ODE by integration. (a) y'+2 sin2πx=0 (b) y'=y (c) y'=-1.5y

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

Q: Consider the following. h(x) = ex²_ Find h '(x). h'(x) = 2xe+² Solve h'(x) = 0 for x. X = h(0) =…

A: The given function is: hx=ex2-9 Use the Chain rule: fgx'=f'gx·g'x And Power law: ddxxn=nxn-1

Q: Suppose that f is a function given as f(x) = 3x² - 7x. Simplify the expression f(x + h). f(x + h) =…

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Q: metal Bar at a temperature of 120°F is placed in room temperature 10F, If after 20 mins, the…

A: Given: T1=temperature of the metal bar, 120°FT2=room temperature, 10°FT=temperature of the metal bar…

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Q: Given that the acceleration vector is a(t) = (- cos(t))i + (-sin(t))j + (t)k, the initial velocity…

A: The given acceleration vector at=-costi+-sintj+tk, the initial velocity is v0=i+k and the initial…

Q: Sketch the graph described by the following spherical coordinates in three-dimensional space. p=7

A: We need to sketch the graph described by the equation ρ=7

Q: Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √29

A: By using ∆y≈f'x∆x to find a decimal approximation of the following  radical expression. 29

Q: = a tank contain 100 gallons of the pure water, a Brine solution w/ 41b/gall OF salt enters at 4 gal…

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Q: Ten and one-half foot-pounds of work is required to compress a spring 2 inches from its natural…

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Q: f(x)= 6(x+2)²(x-1)(x+3) 2(x+1)(x-2)(x+3)

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Q: Question 5. The rate of change in revenue from a recently-installed machine is 60,000t + 45,000…

A: The rate of change in revenue from a recently-installed machine is  60,000t+45,000 dollars per year…

Q: Consider the function f(x) = 3x + 8x-¹. (a) Find all critical numbers c of f. (b) f is increasing…

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Q: Sketch the region that corresponds to the given inequalities. 16x + 8y≤ 80 8x + 16y≤ 80 8x + 8ys 48…

A: Given constraints:- 16x+8y≤808x+16y≤808x+8y≤48x≥0,y≥0

Q: Obtain the general solution of the following differential equations. 5. xydx-(x+3y²)dy = 0 Ans.…

A: The given differential equation is: xy dx-x2+3y2dy=0

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A: The given data is: The volume of a cube edge s is V=s3 s=26 cmds=0.08 cm

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: Given that: Distance travelled between 10:17 to 10:55 am = 39 milesSpeed limit = 70 mph

Q: At noon, ship A is 120 km west of ship B. Ship A is sailing east at 20 km/h and ship B is sailing…

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Q: Find the Laplace transform Y(s) = L{y} of the solution of the given initial value problem. y" + gy…

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Q: In Exercises 35-40 use the root test to analyze whether the given series converges or diverges. If…

A: The given series is:∑k=1∞ 5kk24k+1

Q: dy Look for the of ysinhx = sec ¹ (tanh-¹x) — dx In solving, use exponentiation

A: Given equation:- ysinhx=sec-1tanh-1x

Q: Consider the following vector function. r(t) = (6t², sin(t) - t cos(t), cos(t) + t sin(t)), t> 0 (a)…

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Q: Outsourcing of Jobs The cumulative number of jobs outsourced overseas by U.S.-based multinational…

A: Given equation N( t ) = -0.05( t + 1.1 )2.2 + 0.7t + 0.9where N( t ) = cumulative number of jobs

Q: (1,0)

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Q: help

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Q: ^ = [1 ² -1 ] B-[-2] 1. Find the size of A, B, and C matrices. 2. Find the pairs of matrices that…

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Q: Why don't we make use of negative 4?

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Q: 3. Evaluate the limit by making a table. Then sketch the graph from your calculator. sin x lim x-0 x…

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Q: | dy dx sin √√x √y

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Q: for the last answer. is that y to the power of 5

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Q: Use the Trapezoidal Rule with n = 4 to approximate the value 2 of f/² (x² -4x+4) dx.

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Q: If   C(t)=49.7te−0.24t measures the​ concentration, in ngml​, of a drug in a​ person's system t…

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Q: Obtain the general solution of the following differential equations. 8. (ysin x+xy cos x) dx +…

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Q: x  ≤  12 −4x + 144 x  >  12 Evalute 36 ∫ 0 f (x) dx. (Note that since  f (x) is defined in a…

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Q: Solve the equation on explicitly for y adn differentiate to get y' in terms of x. 5/x - 1/y =3

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Q: i said solve using integration by parts. edit your answer

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Q: Find the solution to the boundary value problem: The solution is d²y dt² dy +65y = 0, y(0) = 4,…

A: Given differential equation d2ydt2 - 8dydt + 65y = 0

Q: In the figure, a small block of mass m = 0.044 kg can slide along the frictionless loop-the-loop,…

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Q: 85,000 is deposited in a saving account with 6.35% annual interest. When will be the initial sum…

A: To solve this problem, we can use the formula for compound interest:

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Q: f(x) = -(x-1)² use f'(x), find decreasing interval.

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Q: If C(t)= 18.5te -0.3t measures the concentration, in of a drug in ng ml' a person's system t hours…

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Q: Example 9 Find the truth set of P(x) : x EC^x² + 3x + 4 = 0. Solution: x² + 3x + 4 = 0 -3±√-7 X = 2…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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Q: sketch the graph of y = x^3 / (x^2 - 4), keep in mind the information provided: 1. x and y…

A: The solution is shown below-