27 the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x) = 2x + 2 + 1, where x > 0.

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A: The given table is: Find h'4 if hx=fx.gx

Q: 3. INSTRUCTIONS: Differentiate the following func- tions (respect to x) using any method. (a) f(x) =…

A: (a).The given function is:f(x)=x2+2x4-3x2+1

Q: [ sin* .rd.

A: ∫sin3x dx=?

Q: d the distance between each pair of parallel line 1210. 2 m b=\ LM = 1 line: +1 y = 2x + 1 y = 2x -…

A: Given query is to find the distance between the lines.

Q: 60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x),…

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Q: Let f(t) = √t. For a 0, find f'(a). f'(a) =

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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: Evaluate y sin(xy) dA, where R = [1, 2] × [0, π]. R

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Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissues is…

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Q: INSTRUCTIONS: Differentiate with respect to g(x) = ln(x√x² - 1)

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Q: Consider the following function. f(x)= -8x3 + 24x + 7 (a) Find the critical numbers of f. (Enter…

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Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: Evaluate the limit 3 + 3x² (11+52)

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Q: INSTRUCTIONS: Evaluate, and simplify if needed, the following hyperbolic related expressions... (a)…

A: Three problems are given. We have to solve these accroding to their operations.

Q: Each year 5% of the inhabitants of a rural area move to the city. If the current population is…

A: QA)24000×100-54 Given  Current population of Rural area = 24000 Rate of movement (Rate of decrease)…

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

A:

Q: f(x): 5(x²+5) cot(x) 4- cos(x) csc(x)

A: Topic:- application of derivatives

Q: 5. A population of insects in a region will grow at a rate that is proportional to their current…

A: Concept: We have given that the insects in a region will grow at a rate that is proportional to…

Q: Use the graph below to determine the values of a at which the function is not continuous. -10 4 -5…

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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.

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Q: lim_ f(2)= H418 -6 ven the graph of f (x) above, find the following limits. lim f(z)- 1 248 I I 4 I…

A: Given query is to find indicated limits.

Q: List the first five terms of the sequence. an 1 + an a1 22 a3 24 a5 = = = || = = a₁ = 10, an+1 =

A:

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

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Q: d da -f(x) = cos x, f(0) = 9.

A:

Q: Let z = x + y² with x = y = t. Then, the derivative of z with respect to d) at t = -1 is dt t (z'(t)…

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Q: In t​ years, the population of a certain city grows from 400,000 to a size P given by…

A: Topic = Derivative

Q: 15 4x(3x+5) 15 4x(3x+5) Find the partial decomposition for the rational expression. 4X 3x+5

A:

Q: At a surface of the ocean, the water pressure is the same as the air pressure above the water, 1.05…

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Q: If a cup of coffee has temperature 88°C in a room where the ambient air temperature is 21°C, then,…

A: Given query is to find the average temperature of the coffee for first 30 min.

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

A: Given : xy − 60x + 12y = 0 for x = 12

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A:

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: c) = 5) =

A: Topic:- application of derivatives

Q: dy/dt = 2.5. 9. Given y = e2x+1, find dy/dt when x = 4 and dx/dt = 0.5. 3r C: (d when x = ? and

A:

Q: 7. Consider a function f(x) which is defined and continuous on the interval 0 ≤ x ≤ 8. Answer the…

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Q: Question Differentiate the series represented by the function f below term-by-term to find the power…

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Q: I am unclear on how the work is supposed to look here. would you be able to write this out?

A: As we know that if f'(x) is the derivative of a function then the original function is given by…

Q: a) Classify the following sequences: (i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

A: a) Classify the following sequences:(i) 6.5, 9.75, 13, 16.35,…….. (ii) 4/9, 8/9, 16/9, 33/9,…………

Q: Find the intervals on which f is increasing or decreasing. Find the local maximum and minimum values…

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Q: d dx f(x) = ex, f(0) = 8.

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Q: Consider the following function. f(x)= 15x+1 (a) Find the critical numbers of f. (Enter your answers…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The function s(t) describes the motion of a particle along a line. s(t) = 12t-t² (a) Find the…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is to find…

Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

A: Given Cost function:- Cx=-0.03x2+2.3x+11.8

Q: Use the product rule to find the derivative of the given function. b. Find the derivative by…

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Q: 1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/l per…

A: Given :- f't=-100e-0.25t f't=Rate of change of the concentration of a rug in a patient bloodstream…

Q: Consider the Cobb-Douglas Production function: P(L, K) = 28L0.5 -0.5 Find the marginal productivity…

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Q: Use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of…

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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: The function f is graphed below. State the values that fulfill the following requirements. If there…

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