10. g(t) = V1+ In(t)

Q: The surface area of a balloon can be represented by the function S(r) = 4xr², where r is the radius…

A: The surface area of the balloon can be represented by S(r) = 4πr2 Radius of the balloon increases…

Q: 3. Which has a greater average rate of change over the interval -2 sx54, the function g(x) 16x -3 or…

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Q: A car is traveling at a rate of 42 feet per second when the brakes are applied. The position…

A: To complete the table

Q: Find the point of diminishing returns (x,y) for the given function, where R(x) represents revenue…

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three…

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: Q2\\ Find the value of (a) that make the function below continuous at x 2: (a*x-2a x22 fx) = 12 x<2

A: Definition used-                     Continuity of function -                     A…

Q: The average rate of change of the function f(x)= 4x² + 6x on the interval [1, 3 is %3D 14 22 18 28…

A: here option a is true  because average rate of change is given by on doing differentiation that is…

Q: b. Use the differential you've just calculated to estimate the value of 9.2

A: Given that y=x-4. We need to find i)dy when x=13 and dx=0.2. ii) we need to calculate the value of…

Q: Consider the function s(t) = t2 − 1 − t. What is the value of s(3)?

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Q: 6. Find the relative extrema of f.

A: To find the critical points we first find f'(x) f(x)=x-9xf'(x)=1+9x2

Q: 5.) Where is the function l(x) = + – 2x + 10 concave up? Concave down? |3D

A:

Q: ) determine the rate of increase of the infection by sovid19 outhreak size A with respect to p the…

A: Answer

Q: Find the average rate of change of g(x) 6x + 2 on the interval [-2, 3]. Question Help: D Video

A:

Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: Find the average rate of change of the function f(x) = x² + 5x from x, = 1 to x, = 2. The average…

A:

Q: . A spherical balloon with radius inches has volume  V(r)=(4/3 )pie r^3. Find a function that…

A:

Q: What is the average rate of change of the function f(t) = t² - 7t between t = and t = -4? -10 -14…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x²In(x) given the…

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Q: Mr. Jefferson shows his students the function in the coordinate plane and asks them to determine the…

A: The graph of f(x) and table that shows students response.

Q: Determine the net change and the average rate of change for the function f(t) = t² – 4t between t =…

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Q: 3. Which of the following functions grow faster than x as x –→∞? Which grow at the same rate as x2?…

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Q: What is the average rate of change of the function f(t) = t² - 7t between t = -5 and t = -4? -16 -14…

A:

Q: For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is…

A: To find the solution

Q: Find the average rate of change of the function f(x)= x² + 4x from x, =1 to x, = 2. The average rate…

A:

Q: Find the average rate of change of f(x) = 6x Your answer will be an expression involving b. 8 on the…

A: Follow the steps.

Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

A:

Q: Find the average rate of change of f(x) = 6x² Your answer will be an expression involving t. 3 on…

A: The given function is f(x)=6x2-3 We have to find the average rate of change of the function on the…

Q: 2. The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function…

A:

Q: c) value of x as t→ 00. Find the proportion of the population that escapes the epidemic by finding…

A: We have to find the proportion of the population that escapes the epidemic by finding the limiting…

Q: The volume of a cube can be represented using the function V(s) = s³ Which formula of the sphere is…

A:

Q: 8(s+1)? (s2+10s+34)(s²+8s+20) Find f(t) for the function F(s)

A:

Q: on function for a particle moving along the x-axis at time t is given by 4-8t+6t2+40t-20 rmula for…

A: Given the position function

Q: Calculate L6 for f(x) = v5x + 3 over [1,3]. (Give your answer to three decimal places.) L6 =

A:

Q: Find the average rate of change of the function f(x)= x + 9x from x, =2 to x, = 4. The average rate…

A:

Q: 9. The function h(t) = -4.9t2 + 70t°cản be used to model the height of a projectile with an initial…

A: If the projectile hit the ground then h(t)=0 So, we will solve for t when h(t)=0…

Q: A psychologist measures a child's capability to learn and remember by the function L(t)= t+1 where t…

A: L(t)=ln(t+1)t+1 To find out the greatest learning capability we need to take derivative of L(t) and…

Q: 2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the…

A:

Q: ז ה2 The size of a fungus is given by the function S(f) =3.61 +1.2cos( ), where S is the size in 24…

A: Given, The size  of the fungus S(t) S(t) = 3.6t +1.2cos2πt24  Where S is the size in mm  and t is…

Q: Find the average rate of change of the function f(x) = 9x from x, 0 to x, 3. The average rate of…

A: Given,          The function is fx=9x from x1=0 to x2=3.

Q: f the demand for a product is given by D(p) = ((1000/(square root of p))- 1 what is the average…

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Q: A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the…

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Q: Consider the function: g(x) = 2x + 6x 2 Find the average rate of change of g(x) between the points =…

A: We will Use the average rate of change formula to solve our given problem.

Q: 9. The function h(t) = -4.9t2+ 70t cản be used to model the height of a projectile with an initial…

A: Given function of height is : ht=-4.9t2+70t Initial velocity=70m/s To find in how many seconds after…

Q: 4. At Wally Motors, an auto engineer, in testing a new engine on one of its new models, found that…

A:

Q: Jacob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over t…

A: The objective of the question is determine the relationship between the given two functions.

Q: The average rate of change of the function f() = 3x² + 7x - 5 on the interval (0, 3] is O 16 O 10…

A: We need to find the average rate of change of the function f(x) = 3x2+7x-5 on [0, 3]. So,…

Q: Find the average rate of change of the function f(x) = x² + 7x from x, = 1 to x2 = 2. The average…

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Q: The supply for a particular item is given by the function S(r) 23 + 0.81a2 Find the producer's…

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Q: 10. The function below is: &r – 8y = 16 a) Increasing b) Decreasing c) Constant d) Neither 11 Using…

A: Given that:

Q: Let f(z) 1+ | Interval of increase of f(x) is -

A: