numbers

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: We first find the critical values by solving f'(x)=0f(x)=x2+cos-1xf'(x)=2x-11-x20=2x-11-x22x=11-x22x...

Q: Use the Ratio Test to determine whether the series is convergent or divergent. n! Σ 947 n = 1 Identi...

A: From the series an=n!94nSo the limit is:limn→∞an+1an=limn→∞(n+1)!94n+1n!94n=limn→∞(n+1)!94n+194nn!=l...

Q: Radioactive Decay Phosphorus-32 (P-32) has a half-life of 14.2 days. If 450 g of this substance are ...

A: Given: Half-life of Phosphorus is 14.2 days The initial substance was 450 gm

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b] f(x) = x2 -25/x-...

A: Given that: The rational function is f (x) = x2 - 25x - 3 , [ - 5 , 5].  

Q: Write the formula and perform all the steps, also draw a rough sketch to elaborate your answer

A: The given equation is  x2 + y2 + z2 = 25   The equation (x - x0)2 + (y - y0)2 + (z- z0)2 = K has cen...

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A: The derivative represents the rate of change. Since given that, the length of a rectangle is increas...

Q: Please help

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Q: Answer please, thank you.

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Q: Suppose that f(x) = (x + 6)(x – 2)². (A) Find all critical values of f. If there are no critical val...

A: Given equation can be simplified as

Q: How do we graph a polar equation?

A: To draw the graph of a polar equation, find the symmetry of the given equation. Test the symmetry ab...

Q: Problem 4: Perform a first derivative test on the function f(x) = 2x + 6x a) Locate the critical val...

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Q: Let f(x,y) = 3x 2 y + e x+2xy . Determine the line integral of f (x,y) with respect to arc length ov...

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Q: A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 40 feet per s...

A: Given height from the ground is 5 feet And initial speed of ball is 40 ft/sec. And a = -32 ft/sec2  

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0- ...

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Q: Use the Second Fundamental Theorem of Calculus to find F′(x).

A: To find the derivative using fundamental theorem of calculus.

Q: Write the definite integral that yields the area of the region. (Do not evaluate the integral) 30t 2...

A: To find the definite integral that gives the area of the region as shown below with labelling,   

Q: A function f has the following verbal description: “Multiply by 3, add 5, and then take the third po...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Find dy/dx by implicit differentisation x2+y2=64

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Q: The answer is 819m^3 but I am not sure how to get there. Please show me how through intergrals.

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Q: For f'(x) = 100x(2x+3)(x-5), use sign chart to determine the intervals on which f is increasing or d...

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Q: You are performing 3 independent Bernoulli trials with p = 0.4 and q = 0.6. Calculate the probabilit...

A: Given, Probability of success = p = 0.4 Probability of failure = q = 0.6 In the Bernoulli trials  Pr...

Q: Differentiate with respect to x. Y=sin5x

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Q: Express the sum sin 8x + sin 2x as a product. If possible, find this product’s exact value.

A: To express the sum sin 8x + sin 2x as a product, apply the trigonometric formula sinα+sinβ=2sinα+β2c...

Q: pls help

A: Given: Given:fx=-5x3+15x+6 To Find: a. Find the critical number of f.b. Find the open interval on wh...

Q: The fundamental theorem of calculus says: what ?

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Q: 4 8. 1 Evaluate the determinant 7 -6 0 3 1 4 8 1 6 0 =-1 %3D - 3 2 1

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Q: Find the arc length of y 4x – 1 on 0 < x < 2. -

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Q: pls help with the last one

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Q: Find the expected value E(X), the variance Var(X) and the standard deviation σ(X)  for the density f...

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Q: What's the formula of Taylor Series?

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Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line  ...

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Solve the following linear DE's. 7. y" – 10y' +34y = 3x² + x - 1

A: Given equation in symbolic form is (D2-10D+34)y=3x2+x-1 Auxiliary equation is D2-10D+34=0 The roots ...

Q: Need help

A: Answer and explanation is given below

Q: state whether the annihilator method can be used to determine a particular solution to the given dif...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Problem 1: Evaluate the limit. Use L'Hopital's Rule when it is convenient and applicable. lim (1 + s...

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Q: Find the critical point and the interval on which the given function is increasing or decreasing, an...

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Q: A management consultant estimates that the number h of hours per day that employees will work and th...

A: Given that: The equation is 60 h 5 + 2,000,000 = p3  . h = number of hours per day that employee wil...

Q: Evaluate the integrals

A: Consider the integration as I=∫01x2+xdx

Q: Find the absolute maxima and minima of the function f (x,y)=2x²-4x+y²-4y+1 on the closed triangular ...

A:              Given:The given function is f(x,y)=2x2-4x+y2-4y+1 on closed triangular region bounded b...

Q: Help

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Q: x³ - 3x² + 2x Evaluate lim - using l’Hôpital's Rule and then х — 2 check your work by evaluating the...

A: Given, limx→2 x3-3x2+2xx-2

Q: Find the center and radius of the following spheres x² + y² + z² – 2x – 4y + 8z + 17 = 0 %3D

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Q: please show steps

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Q: Estimate f(5.07) for f as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to...

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Q: A trough for holding water is formed by taking a sheet of metal 60 inches wide and folding up the 20...

A: Given, A trough for holding water is formed by taking a sheet of metal 60 inches wide and folding up...

Q: Find the Taylor series for f(x) = cosx centered at a=π/6.

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Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 45...

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Q: Use properties of logarithms to evaluate without using a calculator. 6log[4](2) + (log[4](64)/3log[4...

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Q: Complete the square and write the given equation x2 + y2 - x + 2y + 1 = 0 in standard form. Then giv...

A: Given: given equation  x2+y2-x+2y+1=0

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n ...

A: The general term given is an=-1n3n-1.  

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.