Let ƒ(x) = ln[x°(x + 6)³(x² + 9)³]

Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

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Q: Find all the second-order partial derivatives of the following function. w :3ye4x² - gy

A: Concept: In differential geometry and vector calculus, the partial derivative is used. The function…

Q: Evaluate the indefinite integral. 8(8-5x) dx =

A: Given query is to find value of the integral.

Q: 2 The graph of y = x²(x + 5) and y = = (x > 0) intersect at one point, X x = r, as shown to the…

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Q: Let f(x) = -4 ln(6x)

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Q: The expression cos cos nos O O O O COS COS sin 5m 6 Л 6 5m sin 6 +sin-sin can be rewritten as which…

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Q: (a) Find the derivative. dy dx (b) Find the derivative. = In (4x - 5) dy dx y = In(4x - 5) - 3 In(x)…

A: a) y=ln(4x-5)-3ln(x) b) y=ln[(4x-5)/(x3)].

Q: Using left endpoints, determine the value of the Reimann Sum S 2x² +5 dx using four partitions each…

A: Solution: The left Riemann sum (also known as the left endpoint approximation) uses the left…

Q: Differentiating Exponential Functions Find the derivative of the function. f'(x) = f(x) = +9

A: the given function is; f(x)=(ex+9)/(ex-9).

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2y sin (3x)

A: Concept: The points in the domain of a multivariable function known as the saddle points have…

Q: x = 2(3y)^0.5, x = 0, y = 9, about the y-axix. Sketch the region.

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Q: Evaluate the indefinite integral: 52+3r2 S de (r³+1³)³ = +C

A: NOTE: Refresh your page if you can't see any equations. . ...................(1) substitute  take…

Q: Write the coordinates of the vertices after a translation 10 units right and 6 units up. (1 В' D CO…

A: Given query is to find the vertices of the triangle after indicated translation.

Q: 8. Air is being pumped into a spherical rubber balloon at a rate of 1 cm³/s. (a) When the balloon's…

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Q: Let f(x)=2x-1 The smallest positive number for which f (cos (f(x))) = 0 is x = Hint: Begin by using…

A: Given Function:- fx=2x-1

Q: A lamina in the shape of the region enclose by the parabola y² = 2 - x and lines y = x + 4 and y =…

A: Concept: The double integration of the function f(x,y) are ∫x1x2∫y1y2f(x,y)dydx Here x1 , x2 and y1…

Q: Evaluate the definite integral: 1/2 dr

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Q: 2.Find the first four Taylor polynomials for, f(x)= In x about x=2

A: f(x)= ln(x) about x= 2

Q: Use a calculator to evaluate the function at the indicated values. Round your answers to three…

A: given  h(x) = ex   we know that, The exponential constant is a significant mathematical constant and…

Q: Many fish grow in a way that is described by the von Bertalanffy growth equation. For a fish that…

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Q: Evaluate (B) C S- Ixly D Aesch-x+C 1 -csch 5 csch 1 - 1 1+ 5 - 25 -||+C X +-+|53| + C ===esch=¹|x|+C…

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Q: Find all solutions of the system. (Use the parameters x, y, and z as necessary. If the system is…

A: 4x -2y +3z = -12      6y - 4z  = 36 here we have 3 parameter  so we have to 3 equation but here only…

Q: Find the extreme values of the function f on the interval [-5, 5]. If an extreme value does not…

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Q: *: Solve the recurrence relation an = 7an-1 7an-1-10an-2 +16n.

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Q: Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure…

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Q: Determine the derivative of f(x) = 2.72²+3 Select the correct answer below: O (8x)72x²+3 O (8x In…

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Q: Find the critical point(s) of the function f(x) = Check (11-9x) 7x , if any, leaving your answer(s)…

A: Given query is to find critical points.

Q: Evaluate the indefinite integral: [v Vr² +4r dr

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Q: Suppose: Then, sin(x) = -0.7702 cos(x) = 0.6378 tan(x) = -1.2076 sin(-x) = cos(-x) = tan(-x) = and…

A: Given sinx = -0.7702 cosx = 0.6378 tanx = -1.2076

Q: Consider the following function. (If an answer does not exist, enter DNE.) f(x) = In(7 - In(x)) (a)…

A: Given: For (a), Graph of f(x): Thus, we have a Vertical asymptote as x=0 and no horizontal…

Q: The top and bottom margins of a poster are 4 cm and the side margins are each 8 cm. If the area of…

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Q: Find the numerical value for W such that L'Hopital's Rule applies to the following limit, then…

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Q: Enter T or F depending on whether the statement is true or false (You must enter T or F -- True and…

A: Topic = Trigonometric Functions

Q: Find all local extrema for the function f(x,y)= -2x²-5xy-8y²-48x-138y +2. Select the correct choice…

A: Find all the extrema for the function f(x,y)= -2x2-5xy-8y2-48x-138y+2

Q: Consider the following functions. f(x) = = √√x-7 g(x) = x - 7 Sketch the region bounded by the…

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Q: Determine where the absolute extrema of f(x) absolute maximum occurs at x= 2 absolute minimum occurs…

A: The given function is; f(x)=4x/(x2+1), [-4,0] Repost the next question.

Q: 4. t²dr + 2rdt = rtdt + t³ dr; when t = 2, r = e 5. cos³ x dx = tan² y dy

A: We solve the differential equation using basic properties of integration and basic properties of…

Q: Given that 2x - 1 - (x − 2)(x+3) A x - 2 + B x + 3

A: NOTE: Refresh your page if you can't see any equations. . use partial fraction

Q: Consider the function f(x)=ln(x^2 +4) a. Find f'(x) and f''(x). b. Find the critical number(s) of…

A: Topic - Derivative of a function We are given, f(x)=ln(x2+4) Formulas used ddxln(x)=1xddxxn=nxn-1

Q: Q2)Use integration by parts to evaluate fx sec² x dx

A: The given integration is: ∫x sec2x dx  To solve the given integration by parts.

Q: f'(x) = f"(x) = COS X sin x - 2 -1 + 2 sin x (sin x - 2)²

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Q: π/3 S™ esin(z) cos(r) dr dx 0

A: On doing integration we will get

Q: r = sin and = =√3 cose. In other words, find the area of the intersection of these two polar graphs.

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Q: Analyze the following limits and find the vertical asymptotes of f(x) = x-12 2 x-144 a. lim f(x)…

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Q: Find the circumference and the area of a circle with radius 7 cm. Use the value 3.14 for π, and do…

A: Let Radius of circle =r cmwe know Area of circle =πr2Circumference of circle=2πr

Q: Which expression is equivalent to (sin 28) (csc)? O2sin 8 sin 8 2cos 8 cos 8

A: Please see the below answer. (sin 2θ)=2 sin θ cos θ csc θ = 1sin θ

Q: Use Newton's method to estimate the one real solution of x³ + 4x + 1 = 0. Start with x = 0 and then…

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Q: A company produces very unusual CD's for which the variable cost is $18 per CD and the fixed costs…

A: I am attaching image so that you understand each and every step.

Q: Sketch the region enclosed by the curves x - 3 = 4y and x - 19 = (y - 4)², and compute its area. A

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Q: Find the particular solution of the differential equation that satisfies the initial conditions.…

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