Find the smallest possible sum of the squares of two numbers if their product is -9.

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Q: If f(x) = 5 arctan(3x), find f'(x). Find f'(4). f'(4) = 5500 VER

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Q: Differentiate. y = (x² - 2x+4)ex O A. (5/²+2x+1] ²² 4 3 OB. (x²+2)ex OC. (x² + 4x+2) ex OD. (2x-2)ex

A: The given function

Q: Let f(x)= xh(x). Given that h(-1) = 5 and h'(-1) = 8, calculate f'(-1). f'(-1) = [HINT: Use the…

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Q: b. lim f(x) = - ∞ * As the value of x gets close to infinity the value of f(x) gets close to…

A: First, we will understand the concept of limits.Let us consider a real-valued function “f” and the…

Q: Find the following. If no value exists, enter DNE lim x-3 lim 2-3+ f(x) = f(x) = f(x) = lim 2113…

A: Given:  The graph of the function  is shown below.To Find: To find the following:

Q: Q2/ Choose (A) or (B). (A): Water is being emptied from a conical tank at 12 ft/min. The tank stands…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Practice similar Calculate the derivative using the appropriate rule or combination of rules. f(x) =…

A: Given,

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Q: Use the alternative curvature method formula k = |v x a|/|v|3 to tind the curvature of the following…

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Q: (y = f(x) Consider the graph of y = f(x) above. State the values of each of the quantities below. If…

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Q: Problem 113. Construct the formula for for the expression y² = ln (xy). dr2

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Q: Revenue The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 70x -0.02x²,…

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Q: (a) ln e-1 (b) en 4 (c) eln √4 . (d) In =C 1 e5

A: Power Ruleloga⁡mn=nloga⁡mNumber Raised to Logaloga⁡x=x−logb⁡a=logb⁡1aloga⁡a=1

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -18k…

A: To solve the following initial value problem.Differential equation: Initial conditions:

Q: Let f(x) = 2x + 5 and g(x) = 3x − 8, determine the domain of h (x) = g(x) = f(x) ○ (-∞, -)U (-7, ∞)…

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Q: Find the area bounded by y (Answer exact) x-13 x² - 6x-27 x= 6, z=7, and y = 0.

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Q: Consider the region in Quadrant 1 bounded by y = x^2 +1, y = 5, and the y-axis. Find the volume of…

A: Consider the region in Quadrant 1 bounded by and the -axis.To find the volume of the solid obtained…

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A: since you have posted multiple question in this question which are not interlinked so i have solved…

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Q: 2. The volume V of a cylinder, in liters, is a function of the radius, r, and the height, h, of the…

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A: Bu using a graphing calculator, we will draw the graph of the given function.

Q: (2) 3 f(x) = 1 g(x) = 6x 2x³-18x Ⓒ g(x) == 4 5 h(x)=(√2-47) 5 (X²-4) VA Holes HA/SA Y-intercept…

A: Question No. (2):Given: To Find: To determine .To draw the graph of the above function.Note: Since,…

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Q: Given that lim f(x) = 0 x→a (a) lim lim g(x) = 0 x→a lim_h(x) = 1 x→a lim p(x) = ∞o x→a lim g(x) =…

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Q: 5. Consider w = (W₁, W₂, W3). Prove w x W = 0.

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Q: The partial fraction decomposition of x² f(x) = " and g(x) 48 = can be written in the form of f(x) X…

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Q: Use the figure below to estimate the indicated derivatives, or state that they do not exist. If a…

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Q: The horizontal asymptote of the rational function y= Ok=6 O k = 4 O k=8 Ok=2 kr³+4x²—z+1 is y = 2.…

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Q: h(s)=-2√s S

A: X Intercepts: (0, 0), Y Intercepts: (0,0)Asymptotes: NoneExtreme Points: Maximum (0, 0)

Q: Evaluate the integral 0.8 da √1-²

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Q: The variable s is proportional to t, and s=15 when t=45. Determine t when s=40 1-(Type an integer or…

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Q: Let f(x) = -4x5√x + f'(x) = -22x 72 9 - 35 22x 5 x³√x 9 X

A: solution given below