Use the given graph of f(x) = √√√x to find a number & such that if |x - 4| < 8 then 8= y 2.4 2 1.6 ? 4 y=√√x ? i |√x-2|< 2 < 0.4.

Q: Use the properties of natural logarithms to simplify the function. f(x) = In(x³) - In(x) f(x) = 4x X

A: Formulas we use: lnab=lna-lnb lnam=m×lna aman=a(m-n)

Q: Evaluate. ST/A tan³(x)-sec²(x) dx = ? 1 11 20 0 3 20

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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: x² = cy³

A: Given :x2=cy3

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Q: 13xy Compute the second-order partial derivative of the function g(x, y) x-y (Express numbers in…

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Q: Students were asked to simplify the expression Student A Step 1: + Step 2: cot tane cot cote Step 1:…

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Q: When converted to an iterated integral, the following double integral is easier to evaluate in one…

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Q: (In z)³ dz N

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Q: 3. Find the absolute maximum and minimum values (use exact values): g(x)=sin’x+cosx, [-T, π]

A: solution is given below..

Q: 1; when x when x > 1. 2x + 1 1. Consider the function f: R → R defined by f(x) 5 - 3x A. Consider…

A: Given function is f(x)=2x+1,    for x≤1;5-3x,    for x&gt;1. We need to check whether the function…

Q: Which of the following expressions could not be used to determine the exact value of cos 60*?…

A: we required some of the values whiuch are as follows cos60° = 12cos30° = 32sin30°  = 12

Q: Give a combinatorial proof for the following identity. (*)-Σ()* k=0

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Q: You have been given the following initial va Problem, Please Solve it. Your Symbolic function of x…

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Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

A: NOTE: Refresh your page if you can't see any equations. . let's say  R'(x) is the marginal revenue…

Q: Solve the following system of linear equation by (a) Gaussian elimination (b) Gauss Jordan and (c)…

A: Given system of Linear equation -x1+x2+2x3=12x1+3x2+x3=-25x1+4x2+2x3=4 Writing this system in the…

Q: f(x) f(x) In(5x) In(5) - =

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Q: What is the amount of budgeted cash payments if purchases are budgeted for $464,040 and the…

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Q: The expression sec x Step 1: + tan x Step 2: 1 COS.X tan x 1 Step 3: cos x sinx COS X Step 4: sec x…

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Q: ind the centroid of the region enclosed by  y= -sqrt(9-x^2) and the x-axis  show all work on paper…

A: centroid of region R is given by x=1area of the region  R∫abxf(x)dx where a≤x≤by=1area of the region…

Q: [(x² + (r² + 6x)√1³ +9r² + 11 dr

A: Find the indefinite integral  ∫x2+6xx3+9x2+113 dx

Q: If f(x) = sin(2x) · cos(3x), then which of the . following is equivalent to f'(x)? Select one: O…

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Q: 2. Find the derivative (simplify if possible): f(x) = cosh (In 5x)

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Q: Consider the function f(x) = (a) Evaluate lim f(x) and lim f(x), then identify the horizontal…

A: NOTE: Refresh your page if you can't see any equations. . cancel out x cancel out x+3

Q: the circumference and the area of a circle with radius 2 yd. e the value 3.14 for , and do not round…

A: circumference of the circle is  12.56yd

Q: Using f(x) = 2 -X₁ x, L6 we have the following. (2) [f(2) + f(4) + f(6) + f(8) + f(10) + f(12)] = 2…

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Q: Given f(x) = x+x-12 (x - 1)(x+4) intercept and zeros. determine the equations of all asymptotes,…

A: The Equation is given below:

Q: Find the critical value(s) of f(x) = 3√√x - x². Give exact answers, and separate multiple answers…

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Q: Calculate the derivative of f    in x=1/4

A: Here, we need to find the derivative of f(x)=tan(πx) at x=1/4. Now,              f'(x)=tanπx'…

Q: onsider the triangle below (not drawn to scale). A b с с a B et c = 9, ZC = 95° and ZB = 30°. Find…

A: Given c = 9 ∠C = 95°∠B = 30°

Q: f(x) = 2 x² - 169 x-13 1 if x # 13 if x = 13 ; a = 13

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Q: Given tane= O 5 12 13 0₁4 (13) (² 5 5 0₁-(1)-(3) 0₁+(13)²-(13)² N and sece= ¹-(¹³)³² - (² 25 13 |…

A: 1+ tan 2x = sec2 x

Q: For the series below: a. What is R, the radius of convergence? For thes following problems, use…

A: Given : we are given a series ∑n=0∞x+2n To find :  a. What is R, the radius of convergence? For thes…

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

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Q: Graph the function f(x)= X - X determine the following limits. Complete parts a through d below. A.…

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Q: An airplane flies for 1.5 hours at a speed of 200 k/n with a. bearing of 200. The plane then flies 2…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: Consider the function f(x) = 2√☎ + 2 on the interval [1, 9]. Find the average or mean slope of the…

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Q: Evaluate the integral ∫9−3f(x)dx, where the graph of f is the red curve given in the following…

A: The graph of f is given as

Q: Find an antiderivative of the function f(x) = x cos(x).

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Q: Find the critical numbers of the function f(x) = 3x5 + 15x4 3x5 + 15x¹25x³ - 3 and classify them…

A: x=a is said to be critical point of a function f(x) if f'(a)=0.And x=a said to be point to be local…

Q: Evaluate [²³6²³² y dydadz

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Q: - f(x) - = = 3၉5 + 130 +13x-4 8

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

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Q: Suppose that you decide to borrow $13,000 for a new car. You can select one of the following loans,…

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Q: Evaluate: ³²x² + 2x²+x²√√x-1 X dx

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Q: Determine the equation of the tangent line to the given path at the specified value of t. (Enter…

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

Q: Evaluate the definite integral: 1/2 dr

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Q: For the functions w=10x² + 3y², x= cost, and y=sint, express Then evaluate π dw at t= dt 4* dw as a…

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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…