What is the derivative of f(x) = ln(x)? x-1 ex X X In(x)

Q: Find f such that f'(x) = f(x)= 9 √x f(1) = 32.

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Q: ← Convert the following angle in degrees to radians. 345° 345° (Simplify your answer. Type an exact…

A: We need to convert the degree angle into radian.

Q: 12. f'(x) for f(x) = cosh(4x² +1) 13. f'(t) for f(t) = arctan

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Determine whether the following series converges. Justify your answer. (-9)* kl 8 Σ k=1 A. The Ratio…

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Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: zx : hold "y" constant -- treat it as a known constant, letting only x be a variable. zy: hold "x"…

Q: Given ƒ''(x) = 9x − 3 and f'(0) = 5 and f(0) = -6. Find f'(x) = and find f(1) = 3x + 5

A: We have to find value of f(1).

Q: Determine whether the following series converges. Justify your answer. IM8 2 k=1 (k+ 2)² OA. The…

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Q: Given that L cos(2t) √πt cos(2t) find the Laplace transform of t c{√= } = = e-2/s t cos(2t).

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Q: c. y² = 2cx² + c²

A: Given  differentiate both side

Q: Given the equation below, find dy dx y 22x² + 5x¹¹y+yº = 28 dy dr Now, find the equation of the…

A: The given equation, 22x2+5x44y+y6=28 We have to find the value of dydx and the equation of tangent…

Q: 11. INSTRUCTIONS: Two cars start moving from the same point. One travels south at 60 miles per hour.…

A: Given

Q: Find the partial derivatives of the function fz(x, y) ye^9y f(x, y) = ye^gy fry (x, y) fyr (x, y)…

A: ∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0f(x,y)=xye9y

Q: tch the functions with their graphs. 1. f(x) = cos(x) 2. f(x)=sin(x) 3. f(x) =tan(x) 4. f(x) =…

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Q: Consider the function g given by g(x)=|x−6| +2.   ​(a) For what​ x-value(s) is the function not​…

A: A function is non-differentiable when there is a cusp or a corner point in its graph.   Given :…

Q: In writing your final answer, follow the format 2x^5y-3x^3ye^(x)+x^3-2y^2=0. Strictly no spaces…

A: We have to find the particular solution.

Q: The rabbit population in a forest area grows at the rate of 9% monthly. If there are 290 rabbits…

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Q: Find d2y/dx2. y=sqaure root of x

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Q: If f(x) = f'(x) = 9x + 5 7x+5' F what's f'(x)?

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Q: t²y' + 2ty - y³ = 0

A: To solve the following differential equation.t2y'+2ty-y3=0

Q: INSTRUCTIONS: State the differential, dy, of... y = f(x) = tan ¹(√√x)

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Q: Differentiate.   y= 4x3-7x2+15x+3

A: Topic:- application of derivatives        Using If  F(x) = ax^n  F'(x) =an x^(n-1)

Q: Suppose a particle's velocity in space is given by m v(t) = (cos(t), √t² + 2t, sin(t)) S Find the…

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Q: Consider the function. y = (2x² + 1)³ (a) Decompose the function in the form y = f(u) and u = g(x).…

A: We have to find given decomposition and derivative of y.

Q: 4) Given the piecewise function /(x) = 16 if x<2 if x 22 Find the area under the graph f(x) over…

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Q: At 9:00 AM the thermometer reading -10°C is brought into a room where the temperature is 45°C. At…

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Q: after graduation, emily opens a saving account that offers a 6.25% annual percentage rate. she makes…

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Q: The population growth model of a city is given by: dP P(0) = 235. P = 0.34 P, The population size…

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Q: Susan purchased a painting in the year 2000 for $4000. Assuming an exponential rate of inflationof…

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Q: Find dy/dx. y=x-4

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Q: Find the integral using an appropriate trigonometric substitution. S 1 x² √√x² +25 dx O √x² +25 +C…

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Q: function, find the points on the graph at which the tangent line is horizontal.   y=x2 +8   The​…

A: Given query is to find the point where tangent line is horizontal.

Q: Find the partial derivatives of the function Ow Or dw Əs Ow Ət w = √√√9r² +88² +8t²

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Q: An accessories company finds that the​ revenue, in​ dollars, from the sale of x belts is given by…

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Q: A company's revenue from selling a units of an item is given as R = 1600x − 3x². If sales are…

A: To find the rate of increase of revenue.

Q: dz dx 1-siny 11. for z=10216gx

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: The inverse Laplace transform of 6 s² +s4 is

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Q: Find the inverse Laplace transform f(t) of the F(s) = ln ( ² s² +81 s² + 16 function F(s) In f(t) =…

A: To find inverse Laplace transform.

Q: Find dy/dx. y=x0.75

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Q: Evaluate the limit 3 + 3x² (11+52)

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Q: How long will it take for the population of a certain country to double if its annual growth rate…

A: We are required to find the number of years it will take for the population of a certain country to…

Q: Find the periodic withdrawals PMT for the given annuity account. HINT [See Quick Example 4.] (Assume…

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Q: 10. fcot5 3xdx

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Q: Let f(x): = 3.2x + 15.8 if x - 2 if x = 4 4 Determine which one of the following rules for…

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Q: 5. f(x) is defined as f(x) = -3x + A I≤1 r²+(x-1)B-3 r>1 A For what values of the constants A and B…

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Q: b=? The following equation is exact if (bxy²+4)dy=(7x-4y³) dx O 12 O-12 04 O None of the others -4

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Q: dy dt + y cos(2t) = 0; y(0) = 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2 (²) 13. f'(t) for f(t) = arctan 14. g'(0) for g(0)=√√30+tan² (40)

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

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Q: lim h→0 eh cos² h - 1 h

A: We need to find the limit without using L'Hopital Rule.limh→0ehcos2h-1h

Q: 0.5t Find the time 42 59 The concentration of a drug t hours after being injected is given by C'(t)…

A: Given query is to find the time when concentration is maximum.