Estimate L4 and R4 over [0,7] for the function f(x) = 5x². (Use decimal notation. Give your answers to three decimal places.) R4 2

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: For what value of x does the function g(x) - 2x? concave downward? А. x2 -1 x 2 0 С. x 2 -2 D. x< 2…

A: The derivative of a function gives the slope. When the slope continually increases, the function is…

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Q: y = e2=²-x %3D

A: Solve the differential

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

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: The marginal profit from the sale of x hundred items is P' (a) = 4- 6x +3x, and the 'profit' when no…

A: see below  the answer

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: ) (a) (b) (c) Differentiate y == the function by using rules. 1 2x - 3 y = ln(7x + 5) y = 3x³e5x

A: In this question, we need to differentiate the given functions. Please note that as per bartleby…

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

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

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: which shows the function f(x)=7x after a vertical translation down 4 units

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Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: find all possible functions with the givenderivative. y' = 5 + 1/x2

A:

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Estimate L4 and R4 over [0,7] for the function f(x) = 2x?. (Use decimal notation. Give your answers…

A:

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

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

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

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

A:

Q: Determine the local extrema of the function f(x)=xln2x.

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Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 2x2. (Use decimal notation. Give your answers…

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Q: The main part of a trumpet has a shape given by rotating the function f(x)=1+x3/1000 about the…

A: The main part of a trumpet has a shape given by rotating the function f(x)=1+x31000 about the x-axis…

Q: A​ once-popular children's doll is slowly declining in popularity. The quartic function…

A:

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: Differentiate the function. f(z) = ez/(z-8)

A:

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

A: Given revenue function is R(x)=427-x3+54x2+1150x-400, 0≤x≤25 Revenue = Quality × Price Let, y be the…

Q: Express the function in the form   f ° g  ° h

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Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

A:

Q: Find the absolute maximum of the function f(x) = x-x-x On the interval - 10 sxS2 (a) 14 (b) 13 (e)…

A: To find absolute maximum and minimu , first, we need to find critical points. These are the points…

Q: d²y 2. Determine of the function y = dx2 x²cos (x)

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Q: does y=e9-x2-2 exist? whaet is the domain and range of the function if exists

A: Consider  y=e9−x2−2

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Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

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

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Estimate L4 and R4 over [0, 3] for the function f(x) = 4x². (Use decimal notation. Give your answers…

A:

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

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Q: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: Where does the relative maximum value off occur when f'(x) = x³ - x? (а). - 1 (b). 0 (с). 1 (d). 2 a…

A: Relative maximum

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Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

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Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: Determine where the function is (a) increasing, (b) decreasing, and (c) where the relative extrema…

A: Given:- F(x) = 21/√x To find:-  (a) increasing (b) decreasing. (c) where the relative extrema occur.…