Find the derivative of the function. h(x) = ²x² - 7x + 3/x

Q: A polynomial f(x) and one or more of its zeros are given. f(x)=9x³-149x²+665x-325 8 +i is a zero

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Q: If f is differentiable and f'(c) = 0, then f has a horizontal tangent line at x = c. True False

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Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f…

A: As per Mean Value Theorem f'(c)=f(b)-f(a)b-a          Equation 1

Q: Write the equation of the circle centered at (3, −5) with diameter 12.

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Q: Write out the first four terms of the Maclaurin series of f if f" (0) = 18 f(0) = 4, f'(0) = 2,…

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Q: (b) Find the sound level of a vacuum cleaner if its intensity is 10 times Io. The sound level of a…

A: We have to find sound level by using log formula.

Q: To find the extreme values of a function f(x,y) on a curve x = x(t), y = y(t), treat f as a function…

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Q: Find the point of diminishing returns (x,y) for the function R(x) = -0.3x³ +4.4x² + 4x where R(x)…

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Q: Consider the graph below on the open interval 0 < x < 5. A 12345 (a) For which x-values does the…

A: Given query is to find the values where function is not continuous and differentiable

Q: Express the limit as a definite integral on the given interval. Do not evaluate the integral. (a)…

A: Given,

Q: Let f(x) = ln(3x + 5). Show by induction that the nth derivative of f is given    by…

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Q: Find the interval of convergence of Σn(x - 9)" n=2

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Q: 5+4n - 2n² Put the following statements in order to justify why lim n→∞ 5n² + 8n +7 Statements to…

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Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A: First form the characteristic equation then solve it to get the roots.

Q: Find dv/dx by implicit differentiation, given that -x^2/v^2-cos(3v)=-8

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Q: 9 For the function f(x)=x, find f''(x), f''(0), f''(1), and f’’( − 1). f''(x) = Select the correct…

A: Derivative

Q: Let f(t) be the number of centimeters of rainfall that has fallen since midnight, where t is the…

A: We can solve it as follows

Q: The percent of concentration of a certain drug in the bloodstream x hours after the drug is…

A: Given function k( x ) = 3xx2 + 4

Q: Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check…

A: The given series ∑-1n-1un be an alternating series. We have to find the conditions for the…

Q: Use matrix inversion to solve each collection of systems of linear equations. HINT [See Example 4.]…

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Q: For the function f(x)=3x5-3x + 2x³ +5x² +1, find f''(x), the third derivative of f, and f(4)(x), the…

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Q: 4 The volume of a cantaloupe is given by V = The radius is growing at the rate of 0.6 cm/week, at a…

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Q: Let Σαπ an be any series. Suppose that lim n-100 an+1 an =C.

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Q: Find the most general antiderivatives. a. y' = 3x² - 4x + 7 b. c. f'(x) = sec² x + cos x + 5 g (x) =…

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Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: Find the vertex of: ƒ(x) = x² − 4x + 7 - The vertex is

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Q: Find the derivative of the function. f(x) = e10 + xe f'(x)=

A: f(x)=e10+xed dx(xn)=nxn-1d dx(constant)=0

Q: Let f(x) = 2x² + 13x + 15 3x2 + 11x + 6 As →→∞o, y → As a → ∞, y → - As →→-3, y → A Consider the end…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2³-2x³ - 3y - 1) 1 b.…

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

Q: Consider the equation. 3 f(x) = at (1, 3) (a) Find an equation for the tangent line to the graph of…

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Q: Find u and v if u+3v = 3i − k and 6u − v = i +j+ k.

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Q: The latitude and longitude of a point P in the Northern Hemisphere are related to spherical…

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Q: Use an algebraic method to eliminate the parameter and identify the graph of the parametric curve.…

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Q: x(t) = Find a plane containing the line y(t) z(t) - 2x - 2y + 8z = 4 = || || 3 + 5t 7-t and…

A: Given plane and line equations:- Plane: -2x-2y+8z=4line: xt=3+5t,yt=7-t,zt=1-7t

Q: Complete the parametric equations of the line through the point (-7,2,7) and perpendicular to the…

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Q: Find the critical numbers for the following g(x) = x² - 2x² +5

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Q: Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in…

A: Let the 2008 population figures be represented by 1×4 matrix AA=54.665.6112.670.5   Let the…

Q: There are 64,000 subscribers to an online fashion magazine. Due to competition from a new magazine,…

A: Given that, There are 64,000 subscribers to an online fashion magazine. Due to competition from a…

Q: 1 Graph the function by using transformations of the graph of y=. Plot all necessary asymptotes. For…

A: see below the answer and graph

Q: 5. Using integration by parts once, the integral (In x)2023 dx becomes (In x)2022 A. 2023 + C x B.…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Use the table to evaluate the following limits: f(x) 4 -23 lim f(x)- lim f(x)= lim_ f(x)= 45 Submit…

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Q: problem

A: A linear function is of the form fx=ax+b where a,b are constants. Slope defines the gradient of a…

Q: K For the cost and price functions below, find a) the number, q, of units that produces maximum…

A: Given: The cost and price functions are C(q)=80+19qp=71-2q To determine:  a. the number, q, of units…

Q: Find the interval of convergence of Σ(-1)". n³ (x + 3)" n=2

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Q: A city grew in population throughout the 1980s and into the early 1990s. The population was at its…

A: A city grew in population throughout the 1980s into the early 1990s. The population was its largest…

Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

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Q: Consider the function f defined by the formula √ Aex-2 + cx - 3c if x 2. f(x) = = If A =19 and B =…

A: The function is given as , fx=Aex-2+cx-3c      if   x&lt;2x3+cx2+B              if   x≥2 If A=19 and…

Q: d dx [ 3+√√f(sin( sin(x)) cos(x) f' (sin(x)) 2√f(sin(x))

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Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 20 = 0. The extrema are…

A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.