A fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

Q: (a) Give an example of a continuous function whose derivative does not exist at x = 0. (Hint: this…

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Q: make an example and prove it about five vectors spanning R⁴

A: Given: Five vector spanning R4  We need to form an example and prove the given statement 'Five…

Q: 3. Use Secant Method to determine the root of f(x) = Sin (V x ) - x where x > 0. Use up to 8…

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Q: +0, then the matrix H = I – 2- vv7 is orthogonal and symmetric. Show that if the vector v

A: Given  H=I-2vvTvTv

Q: Consider the function f(x) = 24x³ + 3x² + 8x + 12. Show that f(x) is 0 (x-) determining a pair of…

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Q: (9) (Schwartz space) The Schwartz space on R, S(R) is the set of all C* functions f such that its…

A: Given that the Schwartz space on ℝ, Sℝ is the set of all C∞ functions f such that its derivatives…

Q: Assuming a,b, y1,y2,y3 are all dimensional vectors, order matric A= (a,y1,y2,y3), B=(…

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Q: For all x > 0, 4x – 9< f(x) < x² – 4x + 7. Find lim f(x). x→4'

A: As per the policy, we are solving first question only, please  repost and specify which question is…

Q: Fill in the blanks in the following proof, which shows that the sequence defined by the recurrence…

A: The solution is below.

Q: 6% compounded every 2 months for 6 years. a) The annual interest rate as a decimal is b) The number…

A: Given that 6% compounded every 2 months for 6 years.

Q: Find the total area enclosed between y = x° and y = x over the %3D interval [-1,5]. NOTE: Enter the…

A: We have to find the Area bounded by given curves.

Q: Answer the fallowing muitiple-chorce awestion below algubra #11,K is aveal nmber and e is the lime…

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Q: H.W: Find forward and backward differences tables for the following data: 1. (1,0), (2,5), (3,22),…

A: Please post the multiple questions separately. Here I answered 1st question as per our policy.

Q: Order Concentration Weight 53 kg Pump setting 50 mL in 20 min 0.9% sodium chloride What is the pump…

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: 10. All hyperbolas center at the origin.

A: we know the equation of hyperbolas center at origin is…

Q: Let the function ƒ : [0, 1] →R be defined by { if x = ! (n = 1, 2, 3, · · · ) f(x) = n 1– x2…

A: Given :  f : [0, 1] →ℝ  defined by ;              fx = ex2,if  x=1n    (n=1, 2, 3, ...…

Q: Given the points (2,7), (2,¯ 6), and ( 3,6), find the coordinates of the images of these points…

A: Reflection of point in the x axis

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

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Q: 1 ral e" dx of the function d 1.0. The abso

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Q: Find the root of cos(x)-3x+1 using the Bisection Method. Use radians mode for solving. Also, show…

A: We have to find the root of cosx-3x+1=0 using the Bisection Method.

Q: Determine whether (p → q) ^ [(q ^ ¬r) → (p v r)] is a tautology, contradiction or contingency by…

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Q: Find the solution to the recurrence relation below. %3D

A: We will find out explicit solution of the given recurrence relation.

Q: sinh 3x –1 H(x)=: 1+cosh 3x –1

A: Given: H(x)=sinh3x-11+cosh3x-1 To solve: The given function.

Q: If u = tan -1 x- the value of x2 +y?+xy du at x = 1 and y = 3 is

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Q: 13. Refer to the computer solution of Problem 12 in Figure 3.17. a. Identify the range of optimality…

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Q: 10. X1 + X2 - X3 = -3 6х1 + 2x2 + 2х3 D 2 — Зх1 + 4x2 + Хз 3D 1

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Q: Joel is considering putting a $4800 laptop purchase on his credit card, which has an interest rate…

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Q: Suppose that you are taking a course where the total class grade is the weighted average of your…

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Q: 2. Find a root of f(x) = 6 Sin (x)e* + 1 using Newton Raphson Method accurate to 5 decimal places.

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Q: The Milwaukee Brewers Baseball Team has their mascots race each other around the entire field during…

A: 1. Given radius is 275 ft. Central angle is 90 degrees. Hence the length of the outfield is:…

Q: Find the root of cos(x)-x?-x using the Newton-Raphson method.(Use radians in solving)

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Q: Find the most general antiderivative of f(t) 8 cos(t) +6 sin(t).

A: We have to find the general antiderivative of given function.

Q: 13. A right circular cylinder is inscribed inside a sphere with radius r 3 inches. Find the maximum…

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Q: onential function as a sum of i 155+1.648/)t = 702+4.800/)t

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Q: If F = 2 3 4 2 0. and d= 2 2. Select one. O a. 8 10 Ob 10 8 Oo 10 Od.undefned

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Q: Determine the interval of convergence for the series by finding a power series representation of the…

A: Interval of converges of the power series

Q: Determine the domain and range of the functions below. a. f(x, y) = |*/v4| for any real numbers x…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for R" into an…

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Q: Q2: Determined the component of the vectors at each point…

A: Solution

Q: 2. Given f (x, y) = x + 2y, find F(x, y) =Vf and sketch it along with the contour map of f.

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Q: 1. Determine a positive root of f(z) = a+ 2x2 + 10r- 20, using the Newton's method and an initial…

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 4. f(t) = e-5t (t4 + 2t2…

A: The given function is                f(t)=e-5tt4+2t2+t To find the Laplace transform of the above…

Q: Ex.5. min (may [ fi Ca) =5 x,t Arz , fz G) = - x,+ 2 ] sit. 6xit Axy S 24 Xit 2X2 fz (x) = - x,+ 2x2

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Q: 3. Consider the function z = f(x,y) with x = u – v and y = v² – u?. Show that dz dz 2 (v — и) dv dz…

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Q: sin x – e-* = 0, [0,1]

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Q: The coefficient of (x - 2)4 in the Taylor series expansion of f(x) = 3 log x - log x² about x = 2 is…

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

A: The given sum is: ∑n=1∞21nn+3 Split the summand using partial fraction. Let 21nn+3=An+Bn+3. Using…

Q: A hiker set out from a straight east-west road on a bearing of N44° E and hiked for 22 miles before…

A: bearing N 300 E means the direction is 30º east of north. similarly  S150Emeans the direction is 15º…

Q: 101 Jzy cosu(x) + sinh(x)

A: Given differential equation:d2ydx2-y=coshx+sinhxTo find: General solution. Note:1 coshx=ex+e-x22…