If f(x) = sin(x¹), find f'(x) Find f'(2) (round to 3 decimal places)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) =…

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Q: Let f(x)=-4x-1 and g(x)=x²-2 Find f(g(6)). f(g(6)) -

A: Please see the below picture for detailed solution.

Q: A particular type of bacteria is found capable of doubling in number 49.4 minutes. every N of…

A: Topic- Exponential function We are given,the number N of bactria present after t minutes…

Q: Use a linear approximation to approximate ln(0.98)ln⁡(0.98) as follows: Let f(x)=ln(x) and find the…

A: The given function is  f(x)=ln(x)

Q: A 6 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate…

A: I am attaching image so that you understand each and every step.

Q: Find the exact arc length of the curve over the stated interval. 1 1 x==y+y from y = 1 to y = 2…

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Q: 1. Find a parameterization of the tangent line to r(t) = (- sin(2t), t², cos(2t)) at the point (0,2,…

A: Given :- rt=-sin2t,t2,cos2t

Q: In 1997, researchers at Texas A&M University estimated the operating costs of cotton gin plans of…

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Q: Use the matrices below to perform the indicated operation if possible. If the operation is…

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Q: Exercise 14 Find f'(x) for the function f(x) = x +9 x²-7-x+1 Apply the quotient rule to find a…

A: Quotient Rule of differentiation :           ddxuv = v.dudx - u.dvdxv2

Q: Assume that f (x) is differentiable functions for all x. Find the derivative of h(x) = x³. f(x).

A: Given that fx is differentiable function and hx=x3·fx We have to find the derivative of hx.

Q: 1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance…

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Q: Find the open intervals where the function graphed below is a) increasing, or b) decreasing. Ay 10-…

A: Here we can answer both the question in the below steps using the given graph.

Q: The Total Revenue is increasing when the demand is inelastic and the price is increased slightly.…

A: Given data÷ The Total Revenue is increasing when the demand is inelastic and the price is increased…

Q: A particle moves along a straight line with equation of motion s = than 0 ) at which the…

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Q: 11-20 Find dy/dx by implicit differentiation. 11. x² + y² = 100 12. x³ + y³ = 3xy² 13. x²y + 3xy³ -…

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Let f(x) 5 if x < 3 2 x+5 if x ≥ 3 Show that f(x) has a jump discontinuity at x = 3 by calculating…

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Q: If √ (2-4) (2 + 6) dr = Adr 2-4 Bdr +6' then A+B =

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Q: Let f be continuous and twice differentiable function such that f is increasing and concave down and…

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Q: Find the linear approximation at x = 0 to show that the following commonly used approximations are…

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Q: If demand is unitary when the unit price is p = $7, then revenue will decrease if the unit price is…

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Q: Suppose that three parameters of a gas: Pressure P, volume V, and temperature T at all times t are…

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Q: Suppose that a population develops according to the logistic equation dP dt = 0.06P − 0.0006P2,…

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Q: 1. Find the five fifth roots of unity in the form a + ib

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Q: Q3 Calculate the area of the shaded region in the given figure y Focus point Parabola curve P- 2p 8p…

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Q: Farmer Alex has 32 llamas each of whom needs 1000000 square feet of grazing area. He wants to…

A: Topic = Algebra

Q: Evaluate the integral R --²dA where R is the region bounded by the semicircle z = √4-y² and the axis…

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Q: 28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)

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Q: Find the partial derivatives of the function fz(x, y) = fy(x, y) = 1 f(x, y) = 4x 2y 1x + 2y 1

A: Given: Now, fx(x, y)=∂ ∂ x4x-2y1· x+2yTreat y as a constant             =∂ ∂ x4x-2y1· x+2y-∂ ∂ x1·…

Q: The radioactive isotope thorium 234 has a half-life of approximately 578 hours. (a) If a sample has…

A: Given is the question of radioactive decomposition.

Q: Solution set?

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Q: 2² +2²³ +2²+1 dz dx x²+x-2 1+²+

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Q: Answer

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Q: Find the derivative of the following function. x cos ¹1¹(7x) O O о O 7x √₁ 1 – 49x² 7x √1 − 49x² -7x…

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Q: Examine the function for relative extrema. f(x, y) = |x + y| − 5 (x, y, z) =

A: The given function is  f(x, y)=x-y-5

Q: Evaluate the limit: lim 02 does not exist lim √(0+1)²-1. Q→-2 0 1 0

A: Put Q= -2

Q: Dada la integral doble: √²₂ √√²-²²e²²+v²³ dy dæ a) Grafica la región en el plano xy a la que se…

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Q: Compute the derivative of the given function. sin ¹(³+4) O O O d dx d dx d dx [sin ¹(x³ + 4)] = [sin…

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Q: A set equation is not an identity if there are examples for the variables denoting the sets that…

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = = (smaller…

A: Topic - Cartesian coordinates to polar coordinates we are given x=-5 ,y=0we know…

Q: Determine where the graph of f(x) = 2x³ + 27x² − 45x-60 is concave down. f(x) is concave down where…

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Q: 27 Given the demand equation = 15+ ―, where p represents the price in dollars and a the р number of…

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Q: Use the graph to locate the absolute extrema (if they exist) of the function on the given interval.…

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Q: Find the point of inflection of the graph of the function. F(x)= x+9 cos x , [0,2pi] and describe…

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Q: lim (1 + sin 3x) x→0+ CSC 2x

A: We need to evaluate:

Q: Given y = f(u) and u = g(x), find (1) × ² y=9u-2,u= dy dx = f(g(x))g'(x).

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Q: Suppose the Sunglasses Hut Company has a profit function given by P(q) = – 0.01q² + 6q - 46, where q…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

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Q: Given the graph of f(x), which value is the f(6)-f(5) least: f(5), f'(5), or ? 6-5 -2 f(5) f'(5) 50-…

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Q: Find ged(1326, 819) using the Euclidean algorithm.

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