The graph of the polynomial function f(x) = −2x(x − 1)²(x − 2)² extends from

Q: Sketch the graph of the function by first making a table of values. H(x) = |3x| X -3 -2 -1 1 2 H(x)…

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Q: 2/ Solve: (2 Sin () + C 2x-3 Then, Find the amount of (C) that is make the function continuous at x…

A: A function f(x) is continuous at x=a if (i) f(a) is defined (ii) limx→af(x) exists(iii)…

Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: Determine the exact value for cot the CAST rule. 11л 6 without using a calculator by using special…

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Q: The range of the graph of y = cosx is a) 0 ≤ y ≤ 2π b) −1≤ y ≤ 1 c) −2л ≤ y ≤ 2ñ Od) y ER

A: Range is the set of y values corresponding to x-values of domain

Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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Q: A. Find an equation for the tangent line to the curve x = -1 + sec* t, y = tan t at this point. at…

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Q: Calculate x(t) when k(t) = [t^2t]/[3sqrt(1+t^4)^3/2] r(t) = (6t¹, 1, 6t)

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Q: b) - 1212 c) 3 V -2 10 d) -3 -11 -10 Using the graph given, determine the average rate of change of…

A: The average rate of change between the interval a≤x≤b is given by: Average rate of…

Q: Give an example satisfying the stated property. Formal proofs are not required, but some explanation…

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Q: If √6-5x² ≤ f(x) ≤ √√6-x² for -1 ≤x≤1, find lim f(x). lim_f(x) = X-O X-0 (Type an exact answer,…

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Q: A frustrated office worker throws his laptop out of his business's rise office building. The height,…

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Q: x³ - 3x²y = C

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Consider the parametric curve Determine which of the following graphs is the correct image of this…

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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: 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: For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX =…

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Q: DNE 3 5 What is lim (f(f(x))? x-0 8 7 6 5 4 3 2 1 0 -1 -6 -4 0 2 4 X 8

A: To evaluate the given limit of function.

Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

A: Angle in Radians = (Angle in Degree) ×π180.

Q: x²-4 x < 2 x-2' ax² - bx + 3,2 ≤ x < 3 a+b, x ≥ 3 2x Explain your reasoning using the three…

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: Variables Separable Solve. Show complete solution. sin x cos²y dx + cos²x dy = 0

A: Given differential eequationsinxcos2ydx+cos2xdy=0

Q: Determine the exact value of sin 17л (172) using the compound angle formula. No calculators to be…

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Q: 26. If [x] is the greatest integer in x, then what is lim [x+1]? 7111

A: As per our guidelines we are supposed to answer only first question kindly repost other queation as…

Q: Use the table to find lim¸ ƒ(x) x → 5 X 4 4.9 f(x) 6 7.8 7.99 6 4.99 5 5.01 5.1 6 8.02 8.1 11

A: Find out the given limit by the help of the table.

Q: Factor the trinomial completely. 4s² - 22s + 10 Select the correct choice below and, if necessary,…

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Q: Rates of Change and Tangent Lines

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Q: (b) Find the volume under the paraboloid z=x+y² above the triangle enclosed by the lines y=x, x=0…

A: To find the volume of the given solid.

Q: 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is…

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Q: Two unit vectors magnitude of 3 O√7 07 O√2 O√6 and , make an angle of 60 degrees with each other.…

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Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

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Q: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: Factor out the Greatest Common Factors of. 1. 18x2 + 27x 2. 45a2 + 27 (Hint: the answers are not

A: Topic:- algebra        Definition:- To factor  greatest common factor take common term outside and…

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

Q: Determine whether the geometric series is convergent or divergent. n=1 convergent O divergent If it…

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Q: 22. 2x² +1 lim 114 (2-x)(2+x) (A) -4 is (B)-2 (C) 1 (D) 2 (E) nonexistent

A: As per our guidelines we are allowed to solve only one question. kindly repost others I am solving…

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

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Q: Find the average rate of change on the interval specified for real numbers h. h(x) = 2x³ on [x, x +…

A: Given:       hx=2x3 on x,x+h The average rate of change of continuous function hx on closed…

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: Your basal metabolic rate is the amount of energy (in calories) your body needs to function at rest.…

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Q: The unit vector of = [5, 13, 7] is: ( 5 13 0(5) 07 5 0 ਦੀ s, ਹਨ) √455' √455 7 455 93 ' v3 / Vi

A: We can find the answer in the below steps.

Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P y…

A: (a) Given that, the function is y=x and the point is 4,2. Differentiate the function y=x with…

Q: 13-y ≤ 8( カート f

A: 13-y≤8(y-4)

Q: Find the average rate of change of the function over the given interval. R(0)=√√50+1 [3,16]

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

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Q: W 2 2 -2

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

Q: 8. Let R be the region bounded by y = √25-r2 and y=3. Find the volume of the solid generated when R…

A: Given data:- R be the region bounded by y=25-x2  and y=3

Q: Let h (x) = f(x) g(x). If f (x) = x² + x and g(x) = -2x² + 4x - 1 what is h' (0)?

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

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: To find the derivative of given function