State the derivative. Do not simplify. f(x) = log(x) + log₂ (x)

Q: 1. Solve for the values of x in the function below. f(x)=x3-4x-0.5x2+2

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Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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Q: •= (L) ! Au — ит!

A: Please see the below picture for detailed solution.

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

A: Topic-Linear function

Q: Identify if it is function or relation

A: This question is related to Functions and relations, we will solve it using given information.

Q: use the graph of the function to find the domain D and range R of f(x) and the indicated function…

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Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

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Q: What is the remainder when x² + 3x is divided by x? a) 4 b) -3 c) O d) you cannot divide by x

A: Option (c) is your correct answer  For detail...go through the solution

Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

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Q: Convert 1.6 radians to degrees: (Round your answer to the thousandths place.)

A: we convert 1.6 radians into degrees.

Q: An arc of length 19 meters subtends a central angle of 294 in a circle. a) Find the circumference of…

A: Topic:- geometry

Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

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Q: Suppose f(x) = A.) f(-3) + f(5) = 3x²10x - 6. Compute the following: - wwesom B.) f(-3)-f(5) =

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Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

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Q: y = C₁ cos(2x) + C₂sin(2x)

A: Given: Now,      y'=c1cos2x+c2sin2x' =-2c1sin2x+c2cos2x· 2y''=c1cos2x+c2sin2x'' =-4c1cos2x-4c2sin2x…

Q: For what interval(s) is the graph of the rational function negative? I I y 8 4

A: A graph of a function is called negative when it is below x-axis.

Q: Consider the following. X-8 lim x-1 x² - 4x - 32 Create a table of values for the function. (Round…

A: Given:- limx→1x-8x2-4x-32

Q: Solve 2sinx + 1 = 0 on the interval x = [0, 2π], to the nearest hundredth of a radian. a) x=210,…

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Q: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Let g(z) Identify the domain, intercepts, and vertical and horizontal asymptotes. Asymptotes must be…

A: Given, g(x)=x+2x2+x-6

Q: The graphs of y= = f(x), y = g(x), y = h(x), and y -12 h(x) -8 m(x) -4 g(x) 8 f(x) -4 Y 4 = m(x) are…

A: Given that  The graphs of y=f(x),y=g(x),y=h(x) and y=m(x) are shown below

Q: - What is the equation of the horizontal asymptote of y = 2* — 2? a) y = 0 b) y = -2 O c) y = -1 d)…

A: Given equation y=x2-2

Q: <-X dy = (Iny - Xdx y In x

A: Topic:- differential equation

Q: The composite function (fog)(x) is defined only when a) The domains of f(x) and g(x) are equal. b)…

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Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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Q: What is the particular solution of ayda (+2) dy=0 when z = 0 and y = 1? O e* = 4y(x + 2)² ○ 4e* =…

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Q: W 2 2 -2

A: First we figure out the parent function of above graph.

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Let f(x) = 2x = 2x − 3 and g(x) = x² + 3x + 4. Evaluate the following. a. f(3) = 3 b. f(-4)=-11 c.…

A: As parts a,b,c and d are already correctly marked, the solutions for remaining questions are given…

Q: f(x) = -x² +9 d the x-values at which f is not continuous. Which of the discontinuities are…

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Q: The foci are on the x-axis, the x-intercepts are ±2 and they intercepts are ±1.

A: find the equation of ellipse

Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

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Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

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Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: Determine the average rate of change for the function f(x)=2" on the interval 1≤x≤5. 1024 255 4 512

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Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We can sketch the graph of the given function after complete the table .

Q: The cost of making xc articl day is given C(x) = ½/2² x ²² + and the price function is f Find: O The…

A: Topic:- calculus

Q: Which of the following is a polynomial function? a) f(x) = sin x Ob) f(x) = cos x O c) f(x) ○d) ƒ(x)…

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Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: Expand 2) 2m²k4

A: Topic-Exponents

Q: Fill in the blank with “all”, “no”, or “some” to make the following statements true. ˆIf your answer…

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Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: How do I find the input values for g(x) = 247 in the function 4x^2 + 32x - 13 using a TI84+ graphing…

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Q: In the triangle below, compute the tangent of theta 0 12

A: Topic:-  trigonometry ratios in right angle triangle

Q: (A) Find (jx curlū), grad (yzj • curlū) at น 7 = ({√Cos(1³² - x)) + ( x + ² } / + 20² k ze² where

A: Given u=cosy2-xi+y+1zj+zexzk

Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

Q: 3 5 10. Evaluate 32 a) 2 b) 8 င) 8 .. d) -8 ထု

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Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to…

A: To find out the average rate of change between the given years.