Find all numbers c that satisfy the conclusion of Rolle's Theorem for the following function and interval. Enter the values in increasing order and enter N in any blanks you don't need to use. f(x)-1sin(2x),-1,1]

Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

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A: The objective of this question is to find the volume of a box that can be formed from a piece of…

Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: The shaded region shown below is bounded by the functions f, of, x, equals, minus, 3, x, squared,…

A: Given that the region is bounded by the curves and  and the x-axis and the y-axis.

Q: Sketch the solution

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Q: I need help with the graphing part

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Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: Q2\ (A) Find the tangent and normal to the curve x²-xy+ y² = 7 at the point (-1,2).

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Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Exercise: Solve the equation d³y dx3 +3d²y dx² dx +30 + y = 0

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Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

A: The given sphere is, , we have to find the radius and center of the sphere.Standard form of a sphere…

Q: Consider the following cubic polynomial function: p(x): = 2x32x29x - 5 d) Using the Rational Zero…

A: d.)  Integer rational root: -1 ; In the form of     a±cb​​;    a = 1; b = 14; c =2e.) 3f.)  (1+i5)…

Q: u × v = (1, 1, 0), ux w = (0, 3, 1), V X W = (2, −1, 1)

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Q: Let a <b. Let f be a continuous function on [a, ∞o). Prove that the following two statements are…

A: The document proves that the following statements are equivalent:The improper integral ∫ from a to…

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

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Q: When the cross product between any two vector is zero then these vectors are perpendicular Ignore…

A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: 100 n=1 2

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Q: Find the slope of the tangent line to the curve below at the point (7,7 4x+3y+ √3xy =…

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Q: Differentiate the function. 이 y=(3x-2) (4-x)4 dy 口 dx

A: To differentiate the following function.

Q: The daily cost C (in dollars) for a manufacturer to produce a electronic video components is given…

A: An increase of $ 5600/191Explanation:

Q: The diagram below gives part of the graph of function f.. For a0 and |x|<12 Find a and b. Write…

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Q: Snacks Movies 10% 18% Video Games Candles 36% Manga 20% 3 Mia received $150 for her birthday. How…

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Q: An offshore oil well is 2 kilometers off the coast. The refinery is 5 kilometers down the coast.…

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Q: In (x + √√x². Find the first partial derivatives of the function f(x, y) = ln(x+ 1. fx(-3,4)= 2. fx…

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Q: base of a solid is bound by y=9x, y=36 and x=0 find the volume of the cross-section rectangle…

A: V=4032 cu. unitsExplanation:Given the equation of the base,y=9xy=36x=0  Solving for the volume of…

Q: determine the laplace transform of; 3e^2t cosh 4t

A: The objective of this question is to find the Laplace transform of the function 3e^(2t) cosh(4t).…

Q: find the length of the curve  y = 2/3(x^2 +1)^(3/2) from x=3 to x=6

A: The length or arc length of the given curve is 129 units.Explanation:

Q: The random variable X has the probability distribution table shown below. x 46810 12 P(X = x) 0.2…

A: The objective of the question is to find the missing values in the probability distribution table…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: A.…

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

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Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: 4) Graph one complete period of the function y = 3 tan (2x+)+ 1. Identify the period, phase shift…

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Q: Find an equation of the tangent plane at the given point: F(r,s) (32 +21), = - - (2,1) z = Submit…

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Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

A: To find the area of shaded regions

Q: Use Linear Approximation to estimate Af = f (9.02) - f(9) for f(x) = x4. (Use decimal notation. Give…

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Q: use the ratio test to determine the convergence or divergence of the series: the sum from n = 0 to n…

A: Given series∑n=0n=∞​(1+n)n3n​  ConvergesExplanation:

Q: Find the linear approximation to the equation f(x,y) = 2√ xy at the point (2,8,4), and use it to…

A: Therefore, the linear approximation to f(2.18,8.29)≈4.2525Explanation:Solution:-

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to…

A: explained below Explanation:Step 1:(a) Construct a linear demand function for your website and hence…

Q: When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The…

A: 201.6°F113.75°FThe soup cool off more quickly over the next 20 minutes.Explanation:Step 1: Average…

Q: Macmillan Learning Determine the critical numbers, if any, of the function f on the interval [1,6].…

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Q: Use Lagrange multipliers to find any extrema of the function subject to the constraint x² + y² ≤ 1.…

A: The given function f(x,y) = e-xy/4   Extrema of the function subject to constraint x2 + y2 = 1…

Q: At the start of an observation, there are 7727.8 grams of a radioactive element present. The number…

A: The value of dt/dN at N = 25 up to 2 decimal places is:(dNdt​)N=25​=50.44Explanation:Given equation:…

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Q: Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12)…

A: Let a function then the slope of function is given as follows where m is the slope of the tangent…

Q: The function f(x)= : 41 is concave down on which interval? +1

A: given function

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

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Q: Find the directional derivative of the function at the given point in the direction of vector v.…

A: The required value of directional derivative is 2.3 ( in decimal). In fraction: Directional…

Q: Find d³y/dx³. y(x) 2STENTOR x(x-1) 3

A: