Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) if 0sx<7 if 7 sxS 9 x-1 f(x) = 3x - 21 absolute maximum absolute minimum local maximum local minimum

Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: 2. If not, indicate Given the function below, determine if the function is continuous at the point I...

A: We need to check continuity of given function.

Q: 1 dx ((x+1)²–1) 2

A:     ∫1x+12-12dx=∫ -14x+14x2+14x+2+14x+22dx=-∫14xdx+∫14x2dx+∫14x+2dx+∫14x+22dx=-14lnx-14x+14lnx+2-14x...

Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms and radi...

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Q: Find the derivative of the given. f(x)= cos x cot x let g= cos x and h= cot x. Then, g'= -sin x an...

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Q: The graph of a function is given. Find the approximate coordinates of all points of inflection of th...

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Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: dx Evaluate 2 -1 O -2 O -0 O O O O

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Q: Determine if the given function is continuous at -3. * (x + 7 x< -3 |x – 2|| f(x) = { x² – 2x 9x - 3...

A: Topic:- limit and continuity

Q: Solve the differential equation with appropriate method. Simplify final answer free of fractions and...

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Q: A community had an initial population of 6000 people in 1990.  Now assume that the population decrea...

A: topic- exponential function

Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

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Q: Write an equation for a rational function with the given characteristics. 4, x-intercepts at (-4,0) ...

A: Explained below 

Q: Give the degree and leading coefficient of the following function: f(x) =2x2 (4- 3x-5x3)

A: Given query is to find the degree and the leading coefficient of the function.

Q: An object thrown vertically upward from the surface of a celestial body at a velocity of 48 m/s reac...

A: According to guidelines we can solve only first 3 subpart. Please repost next parts.

Q: The function f is defined as f(x) = (x – 3)(x + 6)². Answer the following questions without using a ...

A: The given function,      fx=x-3x+62

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

A: Here, the given DE is: y(x tanx+ln y)dx+tan x dy = 0⇒tan x dy=-y(x tan x+ln y)dx⇒1ydydx=-x tan x+ln ...

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x) =...

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. n = 1 Identify an. Ev...

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Q: Consider the region bounded by the graphs of y=In x, x=1, and y=1. Which of the following integrals ...

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Q: In each case, determine whether or not the lines have a single point of intersection. If they do, gi...

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Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: For which values of the lower limit of integration a is the following integral convergent. 1 dx 4x 1...

A: Here the limits of the integral are finite. So, the integral will be convergent if its value is a fi...

Q: Suppose that over a certain region of space the electrical potential V is given by the following equ...

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Q: . Ssec(x),/sec(x) + tan(x)dx

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Q: (2.13) Compute Lp(t), where P is the regular tetrahedron with vertices (0,0,0), (1,1,0), (1,0,1), (0...

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Q: sinx + coSX dx e-X + sinx + sinx

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Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

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Q: Evaluate the integral V5+ 12x? - 4x xdx O 1 (2x2 – 3)/5+12x² – 4x4 + 14Arcsin V14(2x² – 3) +C 14 -3)...

A: Using integration of square root of a2 - x2

Q: Integration by parts is based on what differentiation rule? Explain.

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: We will use the following concepts:-

Q: Refer to the graph of the function f on the interval (0, 12) shown in the following figure. 6+ 5- 4 ...

A: From the graph find the following values .  a) critical points  b) interval of increasing and decrea...

Q: x3 + 8 dx

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Q: Identify whether the statement represents an exponential function. For each training session, a pers...

A: Topic:- function

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

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Q: The graph of the derivative of a function f is shown. Determine the x-coordinates of all stationary ...

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Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: 23t2 – 4e2t

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Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O V...

A: topic - shortest distance between point and sphere

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtainedi by rotating the regio...

A: Consider the region   

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

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Q: Set up, but do not evaluate, an integral for the length of the curve. x = 8 sin(y), 0 sys. 2

A: Given query is to setup the integral for the length of the curve.

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

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Q: Evaluate: (x² – 1 х1

A: Topic:- limits and continuity