Determine the derivative of the function L(x) In(2x) x² + 5

Q: Show using the MVT the equation x^3-x-2 = 0 has one real solution on the interval [1,2] AND…

A: Using mean value theorem f'c=fb-fab-a Where, a=1,b=2 f'x=3x2-1 f'c=3c2-1 f2=23-2-1=5 f1=13-1-2=-2

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Q: The tangent line to the graph of some function f at x = 4 is y = - 2x + 5 corresponding normal line…

A: Given query is to find the equation of the normal line.

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Q: 4. A ceramic insulator is baked at 400C° and cooled in a room in which the temperature is 25C°.…

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Q: (a) Complete the table below given f (x) Round your answers to four decimal places. H -1.1 f(z)…

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Q: Suppose f is a one-to-one function with domain A and range B. What is the domain of f¹? 1. Cannot be…

A: NOTE: Refresh your page if you can't see any equations. . if the function f(x) is one to one…

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞o. 9x + 2 2 X-X+x+6 f(x) = 4

A: To find the limit of the following rational function a as x→∞,  and, b as x→-∞.fx=9x4+2x4-x2+x+6

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Q: #8) (modified) Strontium-90 has a half-life of 30 days. a. A sample has a mass of 50 mg initially.…

A: **As per our guidelines, we are supposed to answer only first 3 subpartsof a question. So, we will…

Q: Question Use a power series to represent the function f(x) Sorry, that's incorrect. Try again? n=0…

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Q: a rational function f is shown below. The gra, Assume that all asymptotes and intercepts are shown…

A: Given query is to find charayof the graph.

Q: se trigonometric identities to simplify the expression. swer 1 cot² (0) + cot(0)cot (1-0) # Keyboard…

A: Given query is to simplify the expression.

Q: Assume all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to…

A: Given query is to find charayof the graph.

Q: Define f(10) in a way that extends f(s) = 3 s³ - 1000 S 2 S-100 to be continuous at s = 10.

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Q: Let Y(t) be a population of yeast in a sugar solution that begins with a concentration of 70…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. x-c* X→C f(x) = (x+8) |x + 61 X+6…

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Q: Determine if the sequence {an} converges, and if it does, find its limit when an = 6n + (-1)" 3n+5…

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Q: 1. Given the function f(x) = 4x3 + 12x² 15x + 2, a) Find the first derivative and the critical…

A: Given function:- f(x) =4x3 +12x2 -15x + 2

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Q: write a polynomial in factored form that has degree 9 with zeroes -5(multiplicity 2), 3(multiplicity…

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Q: Use the relation lim 0-0 lim X-0 tan (5x) X OA. lim Ꮎ Select the correct answer below and, if…

A: given limθ→0sinθθ=1   tan(x)=sinxcosx

Q: 1. a.Determine the equation of the function that has zeros (roots) at 2, 2, 5 and the yint = -10. b.…

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Choose the correct option for the following two statements and provide justification for your…

A: Please see the below picture for detailed solution.

Q: Sin (x-7/2₂

A: Sol we have trigonometry function

Q: Estimate the value of Σ 3w|w n=1 n to within 0.024 of its exact value.

A: Given data, ∑n=1∞3n3

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: steps Ⓒ Graph R(x) = x² + 4x-5 ( list all ) x²+x-2 steps (

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Q: dy Calculate using implicit differentiation. 증 4 27x=y

A: Given equation:- 27x=y4

Q: ง N iv. Stan³ (x) sec³(x) dx v. f sin²(x) dx

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Q: 3. f-¹(x) = ± √T 4. None of these 5. f¹(x) = √T Find the inverse of f(x) = x7. 1. f(x) = x 7 2.…

A: Given query is to find the inverse of the function.

Q: If f(x) = 6 sin(2x)sin-¹(x), ƒ'(x) =

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Q: Let f(x) = 2x3/2. Calculate the arc length of the graph of f(x) over the interval [1, 3]. Enter an…

A: Let fx=2x32, to calculate the arc length of the graph of fx over the interval 1, 3.

Q: Find the volume of the given solid region in the first octant bounded by the plane 15x + 15y +9z =…

A: See this solution in below.

Q: 17. Define a relation R on the set of positive odd integers by xRy if 8 divides x² - y². Then R is…

A: Reflexive relation: A relation is reflexive if (p, p) ∈ R Symmetric relation: According to this if…

Q: 5. The half-life of a particular drug is 6 hours. When given an adult dosage, the following function…

A: Domain:- All those values for which the function exists. Range:- All those values the function…

Q: cx² + 6x x³ - cx For what value of the constant c is the function f continuous on (-∞, ∞)? Let f(x)…

A: if f(x) is continuous at x = a then limx →a+f(x) = limx →af(x) = limx→a-f(x)

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞0. 3x5+7 2 X-X+X+7 f(x) = a. lim 5…

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Q: 55-58 Find equations of the tangent line and normal line to the curve at the given point. √√x x + 1'…

A: We want to find equation of tangent line and normal line.

Q: xdx ● Find by first dividing. x+1 Do your results agree? xdx Then use Formula #47 to find ſ- x+1

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Q: Find a Cartesian equation for the curve given by the polar equation r = 4 sin 0. 1. (x - 2)² + y² +…

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Q: Consider the equation: |x+1| +5=3x a) Solve to find all potential solutions. b) Verify each…

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Q: 8 [ k=1 5k k² 4k+1

A: The given series ∑k=1∞5kk24k+1 We have to find the convergence of the series using root test.

Q: 3.3. Let a, BE C. Prove that la + 3² + a-31² and deduce that ТТ = la + √a²-3² +|a - √a² - 3²| 11…

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Q: B E A B Q: ABCD is quadrilateral Shape whose diameters. intersect at E, Sinc AB / CD // EF, and F in…

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Q: Power Series for Elementary Functions Function 1 = 1(x-1) + (x - 1)²(x - 1)³ + (x - 1)4+ (-1)" (x -…

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Q: Use the given graph of f to find a number 8 such that if 0 < |x - 3| ≤ & then [f(x) − 2| < 0.5. y 8…

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Q: Find and classify the critical points of the function: f(x,y) = x² + y² + 2xy-6x - 3y +4

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