f(x)=x²8x² + 5

Q: út 3 7 2 < X < 7 7 2 3 ||a The function graphed above is decreasing on the interval LO The…

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Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches oo, and (C) the limit as…

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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: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: Find the first and second derivatives of the following. 1-4√√x+x³ (a) y = (b) y = 3x²e² Y (c) y = x³…

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Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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

A: Order is the highest power of the derivative Degree is the power on the highest power of the…

Q: What is a function that could have 17 X Question Help: Message instructor Submit Question Jump to…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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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 vertex, focus, and directrix of the parabola, and sketch its graph. (x - 6)2 = 2(y + 4) = 0…

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Q: What is the unit tangent vector T(t) on the curve r(t) = (sin(t), 3, 2 cos (2t)) when t = 0? Select…

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Q: Sx ³√x²+4 3 S

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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: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A: r=eθ,3π4≤θ≤3π2

Q: 2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence.…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Values Function w = y³ - 2x²y s=-3, t = 6 x =…

A: To find  by using the appropriate Chain Rule.Function: Values: To evaluate each partial derivate at…

Q: Solve the following initial-value problem: dy dx = e sin x 2xy e cos x + x² y(0)=0

A: Given differential equation

Q: Which step is part of finding the derivative of the function below? The correct choice may not be in…

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Q: 9. Locate all relative maxima, relative minima, and saddle points of the fol- lowing function f(x,…

A: The given function is

Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: Sketch the region enclosed by y = 7x and y = 8x². Decide whether to integrate with respect to x or…

A: In this question, we will find the area of the region.

Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

A: Given Differential equation

Q: The median home value in Texas and Missouri (adjusted for inflation) are shown below. Year Texas…

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Q: Find dy/dx by implicit differentiation sin y = x^3 + y^4

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Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Consider the function f(x, y) = (4x-x²) (2y - y²). Find and classify all critical points of the…

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Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

Q: Recall that a sequence is a list of numbers while a series is a summation of numbers. 1. Let an = n…

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 11.…

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Q: x 0 1 2 3 4 5 6 7 8 9 f(x) 6 1 3 7 2 5 0 9 8 4 g(x) 6 5374 8 0 1 29 2 9

A: xf(x)g(x)066115233377424558600791882949

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: The line given by the parametric equations x= 3+2t, y=4-t, z=1 + 3t passes through the point (11, 8,…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6x³ +54x² + 144x. g'(x)…

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: To find:-The given graph

Q: Given that f(x) = x³h(x) h(-1)=2 h'(-1)=5 Calculate f'(-1). -20 Hint: Use the product rule and the…

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Q: A piece of cardboard measuring 11 inches by 14 inches is formed into an open-top box by cutting…

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Q: y-values 9 8- 7 6 5- * 3 2 1 If f(x) f'(3) = g(x) 1 g(x) h(x) > 2 3 x-values then 4 y-values 4 3 2 1…

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Q: The equation has an unbounded solution. y′′ + 4y = sin x true or

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Q: Find the general solution of the first-order linear equation dy dx + 2y = e²x

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Q: differentiate y(theta) = e^cot theta

A: given function

Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: Find the critical numbers of the function f(x) = 12x5 + 45x¹20x³ +4 and classify them. Round your…

A: To find the critical numbers of the function  and to classify them.

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: 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: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.

Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100