14. The domain of the function is y 4 2 -4-20 2 4 x

Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: If U and V are positive constants, find the critical point of the function. Use upper case letters.…

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Q: Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x)…

A: A critical point of a function is defined as the value of x where the function or the derivative of…

Q: Use polar coordinates to find the volume of the given solid. bounded by the paraboloids z = 10 - x²…

A: The solution is shown below-

Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

Q: Find the derivative

A: Given :

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Q: e-1 Find the limit limä→0 tan x

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Q: for the following question above help me solve b and f, please. thank you

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: Solve the equation for the indicated variable. (Enter your answers as a comma-separated list a² + b²…

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Q: 4. Find the length of the logarithmic spiral r = e ¹2 from 0=0 to 0=2

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Q: 8. For which values of r does the following series converge? (-1)" η n=1 -(2x + 4)"

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A: Given: The angle of elevation of the plane is θ= pi/9 The distance (in meters) the ball bearing…

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Q: For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

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Q: Find the 4th order Taylor polynomial, T4, of the function f(x) = e³ centered at a = 1.

A: Given function:- fx=e3x

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A: what region R in the xy-plane maximize the value of given integral.     Here i attached the solution…

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

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Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: Topic = Vector

Q: The figure shows a lamina that is shaded according to the given density function: darker shading…

A: I have appended the formula used in the solution part of the question

Q: How do you find the absolute max and min for problem 45?

A: The given function is: y=x+x2-2x ;          0, 4

Q: Find the critical points for the function f(x,y)=5x^2−10xy+6y^2−4y and classify each as a local…

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Q: Electric charge is distributed over the rectangle 0 ≤ x ≤ 2, 1 ≤ y ≤ 4 so that the charge density at…

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Q: Find two unit vectors u such that Duf(1, 1) Here, f(x, y) = x² +9y². NOTE: you must enter your FIRST…

A: To solve the following problem

Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: I have appended the formula used in the solution part of the question

Q: 30. Given g(x) = 4x² + 1, use the difference quotient to find the instantaneous rate of change when…

A: Given function:- gx=4x2+1

Q: Let f be a function with f(x) > 0 for all x. Let g = 1/f. (a) If f is increasing in an interval…

A: The given data is:  Let f be a function with f(x)>0 for all x. Let g=1f

Q: A) 77. Shown above is a slope field for which of the following differential equations? dy x-y dx y…

A: The answer is in step2.

Q: (It sinx) dx + #* HN (It sin x) dx

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Q: Suppose f(x,y)=xy(1−10x−4y). f(x,y) has 4 critical points. List them in increasing lexographic…

A: We can solve the given problem by using the second derivative test.

Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: Find the derivative of the function. F(t) = e5tsin(2t) F'(t) =

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Q: A spherical balloon is being inflated in such a way that the radius of the balloon is increasing at…

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Q: This problem illustrates the Second Derivative Test. Let f(x) = - arctan(x²) + 3 . (a) Find f'(x) =…

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Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: Assume fis differentiable and has just one critical point, at x = 3. In parts (a)- (d), you are…

A: Given, f(x) has only one critical point and that is x = 3. therefore, f'(3) = 0.

Q: (b) g(x) = (x + e*)², [0, In 4]

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Q: Determine if Rolle's Theorem can be ap- plied to f(x) = x² + 3x - 18 x + 3 on the interval [-6, 3],…

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Q: Find f'(x) and f"(x). f'(x) = f"(x) = f(x) = (x³ + 6)ex

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Q: 2. (a) ( 5) Evaluate مل ) + رند tim → o+ ** * → + x inx - Sin x

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Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of: U = {(x, y, z) :…

A: We have to use cylindrical coordinates in order to find the volume of thegiven region.

Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: 4. a) Find the general solutions of the following differential equations. Express the general…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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Q: Solve for b. Use all lower case letters. -(a + b) b = S =

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Q: Consider the function f (x) = 4x - 3 on the interval [1, 4] using the Right Riemann sum with n = 6.…

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Q: Evaluate ∫ ∫ √ (x2+ y2) dA where R is the portion of the annulus 1 ≤ x2 + y2 ≤ 16 with y ≤ 0 using…

A: We have to evaluate the double integral.

Q: Consider the following. f(x, y) = 9x y A /2 sin(0) 1/2 ([ 0 r = sin 0 (a) Set up an iterated…

A: Given f(x,y)=9x

Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.