Isolate 9.\ 2 5 = 22 gt² + vt gt² + avt ??? 25 = 25= 2 ut(+ +2 g = expected: -avt + $25 t²

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A: In this question, we will find the concave down and up intervals.

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Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

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Q: A formula for the derivative of a function f is given. How many critical numbers does f have? f'(x)…

A: The critical number refers to the value at which the first derivative f' (x) of the real valued…

Q: Evaluate the following integral 6x + SS (8x - y) In (8x - y) dA R where R is the region bounded by…

A: Given that, where R is the region bounded by the graphs of                  Using the change of…

Q: True or false: If f is a function such that lim f(x) = L and x→a+ lim f(x) = L x-a where a and I are…

A: For a Function f( x ) at If Function is continuous at  then

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x²² In(x),…

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Q: If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

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Q: 7. Σ n=2W 3 2 n2 + I 00 8. Σ n?e=n n=1

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Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: (a) Find the differential dy. y = ex/2 dy = (b) Evaluate dy for the given values of x and dx. x = 0,…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

Q: For the following integral, (a) sketch the corresponding area, (b) approximate the area using the…

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Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: List the first five terms of the sequence. a1 = 2, : 2, a n + 1 an + 1 = 2an + 4 21 2 а2 8 12 14 16…

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Q: Evaluate the double integral over the given region R. (18y² - 10x)dA R: 0≤x≤4, 0≤y≤3 R SS (18y² -…

A: evaluate the double integral over the given region  R: 0   0

Q: - Consider the function ƒ(x) = x² − 4x + 2 on the interval [0, 4].

A: f(x)=x2−4x+2 on the interval [0,4]

Q: Find the arc length of the curve on the given interval. Parametric Equations x= 7t + 5, y = 7 - 8t…

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Q: 7. f cos xdx

A: The given integral is Cos4x

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Determine the inverse Laplace transform: F(s) = (5 - 2s)/(s2 + 7s + 10)

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Q: A real estate company owns 120 apartments which are fully occupied when the rent is $700 per month.…

A: A real estate company owns 120 apartments which are fully occupied when the rent is $700 per month.…

Q: A large tank is partially filled with 150 gallons of pure water. Brine containing 2 pounds of salt…

A: Let A(t) be the amount of salt at any time t According to Question Rate of pumping in  gal/minRate…

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Q: Find f'(1) if f(x)= x + 1 √x + 1 A

A: we need to find the derivative of function at point x=1.

Q: Find the lines that are tangent to the curve y=sin(pi*x/2) at x=1

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Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A: The given graph

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

A: We have to find the given function as a composition of two functions f and g.

Q: If what are the bounds of integration for the first integral? a= 11 [ f(a)d= = [ f(x) dx + " f dx […

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Q: Consider the following parametric curve. x = et - 4t, y = y = 8et/2, 0≤t≤ 2

A: x=et−4t,y=8et/2,0≤t≤2

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

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Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

A: To find the parametric equations for the line segment that joins the point .Note: Since the student…

Q: Suppose f(x, y) = x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

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Q: The table below gives the velocity of a runner at half- second intervals during the first three…

A: Given the table below gives the velocity of a runner at half-second intervals during the first three…

Q: If lim f(x) = 4 →2 then compute the exact value of x + f(x) lim x→2 Enter your answer as a decimal…

A: The Root Law:The Sum Law:

Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√y+3

A: To find and to sketch the domain of the following function.Note: Since the student has posted…

Q: find the derivative  y=4x^2

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find d'y if (x)=3x³ (√x-2). d³y dx³

A: To find Note: Since the student has posted multiple questions and does not mention any specific…

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm

Q: The populations of Towns A, B, and C vary exponentially with respect to time. The population of…

A: The populations of Towns A, B, and C vary exponentially with respect to time.1.The population of…

Q: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

A: A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The…

Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: An exponential function f with y=f(x) has a 1-unit growth factor for y of 4. What is the function's…

A:

Q: The number of books checked out from the library from 25 students are as follows: 0; 0; 0; 2; 2; 3;…

A: Consider the data 0,0,0,2,2,3,3,4,4,5,5,6,7,7,8,8,8,8,10,10,11,11,12,12

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: Find the absolute maximum and absolute minimum values of f on the given interval. π [7] 0, 2 f(t)= 2…

A: In this question, we will find the absolute maximum and minimum values.