Differentiate the function. F(X) = x²=²+1

Q: 6. The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when…

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Q: 1. Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential…

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

Q: Let R denote the region in the first quadrant bounded by the curve y = 4e²x and the x and y axes.…

A: Please see the below picture for detailed solution.

Q: 21. At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/h and ship B is…

A: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 35 km/h and ship B is sailing…

Q: Given G = xey-z^2, x = 2uv, y = u-v, and z = u + v, find the following using the Chain Rule when u =…

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Q: In(2-x) lim x-1 x-1

A: By using a graphing utility to find the indicated limit graphically. limx→1 ln2-xx-1

Q: Graph the following function using the techniques of shifting, compressing, stretching, and/or…

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Q: +9 2 + + 614 + Or | S + ||

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Q: ripling every 10 minutes. Use the secant line to approximate the population of the bacteria om now.

A: We are aske to find the population after 7 minutes

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Let f(0) = 3 and ƒ'(0) = 8. Then the equation of the tangent line to the graph of y = f(x) at x = 0…

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Q: A manufacturer of corrugated metal roofing wants to produce panels that are 40 in. wide and 2 in.…

A: Given :

Q: Derivatives of Inverse Functions Suppose that ƒ is a one-to-one differentiable function and its…

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Q: ex 12. lim x-x x2 X-

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Q: Find the critical points of f(x) = 9x¹ + 8x³ and determine if the function is increasing or…

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Q: Give inequalities for r and which describe the region below in polar coordinates. (Click on the…

A: Angle is given by arctan(y/x)

Q: sin x t-0 5x 9. lim X f(x) -0.1 -0.01 -0.001 0 0.001 0.01 0.1 ?

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 13, y=(In(Inx))

A: To differentiate y = (ln(ln(x)))^3 with respect to x, we can use the chain rule and the power rule…

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

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Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: given  h(x)=f(g(x))p(x)=g(f(x))

Q: lim oats-x Пех Tex sin (e-x) tan' (x²)

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Q: lim 21 2² 1 if eta dt

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Q: Match the series with the graph of its sequence of partial sums. 24-1) Σ O O Sn Sn Sn 2 19 8 8 10 10…

A: According to question,Given Sequence,∑n=0∞ 72-34n

Q: Consider the series ∞ n=1 5n (n+1) 4²n+1* Evalua

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Q: Compute the derivative function of f′(x) algebraically. f(x)= 1/x+1

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Q: Suppose that the position of a particle is given by s(t) = 4t³ +7t +9. (a) Find the velocity at time…

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Q: Determine the open intervals on which the function is increasing and on which the function is…

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Q: 7. A body of unknown temperature is placed in a refrigerator at a constant temperature of 0 °F. If…

A: Note : i can solve only 1 question please reroute the remaining one

Q: 15. The cost of producing x items in company XYZ is given by C(x) = 120, 000 - 0.2x +0.001x². a)…

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Q: Use the function to evaluate the indicated expressions and simplify. f(x) = 7x − 9   f(2x)  =

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Q: Calculate S3, S4, and S5 and then find the sum S3 = S4= 1 4n² - 25 (Give an exact answer. Use…

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Q: Find the average square distance from the origin to a point in the domain D in the figure. Assume a…

A: Given:x=y2+ax=bIs given that a=6 and b=12x=y2+6x=12To find:The  average square  distance from orgin…

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and…

A: Given: ∑n=2∞7·(-3)n8n

Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend…

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Q: The particular integral of the following ODE, y" + 5y +6y= 10 sin(t) + 6t + 5 has the form of Yp=bo…

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Q: Consider the function: Step 2 of 2: Locate any points of inflection. Enter your answer as (x,…

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Q: Q11 Fill in the Blank a. This is the arm of the angle that lies along the positive x- axis. Q12 b.…

A: We have to answer question 11,12 and choose correct option for both question.

Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

A: If C(x) is the cost function then C'(x) is the marginal cost.

Q: The economic advisor of a large tire store proposes the demand function D(p) = sold in one day at…

A: Given demand function:- Dp=1900p-30

Q: лh (3r-h) 3 Imagine slicing through a sphere with a plane (sheet of paper). The smaller piece…

A: Given:- v=πh23r-h3

Q: f(x, y, z) = x² + y² + z²; x² + y² + z = 13 maximum. minimum

A: We can use Lagrange multipliers to find the maximum and minimum values of the function f(x, y, z)…

Q: please complete the table so it'll be easier to memorise rather than me memorising the graphs.…

A: We need to fill the given table.

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the…

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Q: 33. Demography The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2008…

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Q: Differentiate. g(t) = 21t g' (t) =

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Q: 27. x³ + y³ = 1 3

A: Please see the below answer.

Q: 36. 8 What is the constant term in the expansion of (x - ³? a. 600 b. 500 c. 700 d. 750

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Q: How would I find tan pi/4 if I didn't have access to the table of trigonometric functions? (like on…

A: To find  tan pi/4

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…

A: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had…