Differentiate following functions the f(x) = x²-1 2²71

Q: Let (an)neN be the sequence with a₁ = = 2 and an+1 = √16an 15 for all n = 1, 2, 3, . . .. (a) Show…

A: The given sequence is an+1=16an-15, a1=2. (a) To Show: (an)n∈ℕ is bounded above. (b) To Show:…

Q: (b) Based on the information provided to you above, one of the statements below is correct. Which is…

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Q: Check High school students across the nation compete in a financial capability challenge each year…

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Q: Let S be the space of all complex vectors (x, y, z) such that y = z². Determine whether or not S is…

A: In the given problem we verify the properties of vector addition

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A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount,…

Q: Consider the following differential equation. ydx - 3(x + y5) dy = 0 Find the coefficient function…

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Q: Consider the function f : R→ R, with f(x) cos x for all x E R. For any nЄN, let Tn be the Taylor…

A: The given function is fx=excos x To find: (a) T2x              (b) The approximation value of…

Q: dk+35+65+2= ds Si:-042 н Szl= -1577 XAp B7 в 2-час га

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Q: Given f(x) = x3 + 5x2 + 2x - 8 a) Solve for f(x) > 0 and f(x) 0 and < 0

A: Let us consider a polynomial p(x)  The factor of the polynomial is obtained by using the hit and…

Q: Consider the solid Q bounded by the surfaces - S₁z1 = (y-2)², S₂ : x + y = 2, S3 : x = 0, S4 y = 0,…

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Q: 1 33 1 1-3 Use the fact that 2 3 3 Write the matrix equation that corresponds to the system. (Type…

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Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

A: Find the triple integral to find the volume between the planes x+y+z=2 and 2x+3y+z=2 above x+y≤1,…

Q: A small plant manufacturing riding mowers. The plant has fixed costs (leases, insurance, etc.) of…

A: Given that a small plant manufacturing riding mowers. The cost equation is y=45,898+1,287x and the…

Q: 2355 cm3 b. 4165 cm3

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Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt…

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Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: (1) for these question , graph of the function is not totally given . And, that's why at x=2, what…

Q: Use polar coordinates to evaluate fy² dA, R where R is the region bounded by the line y = x, the…

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Q: A pipeline needs to be built near a lake. There are two options: build the pipe around the lake in…

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Q: Let x, y and z be real numbers. Show that the distance between a real number x and y is the sum of…

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Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3 kg. Suppose…

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Q: 1. a) Find the Maclaurin series for f(x) = e-2. 2240 SPRA b) Use the expansion to estimate e-0.2…

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Q: Hubert's job is to shovel 3/4 of the driveway whenever it snows. If he gets 1/3 of the driveway…

A: He gets 1/3 of the driveway shoveled right after the snow stops, and does another 1/4 of the…

Q: Write a triple integral, including limits of integration, that gives the volume between z+y-…

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

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Q: The Real number set is btally ordered But the Complex numbers set is not totally ordered

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Q: Let S1 = {(x,y)/ x2y-3), S2 = {(x,y)/ Os x ≤3, 1≤ y ≤5) and S3 = {(x,y)/ 0<x<3, 1sy≤5}. Then: * O S1…

A: A subspace of ℝ is compact if it is closed and bounded. Now, S1=x,y / x≥y-3 This is not bounded. We…

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A: Introduction: Exponential growth may be an information pattern that illustrates a rise over time by…

Q: The gravitational force on a 10 kg object at a distance r meters from the center of the Earth is F =…

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Q: (b) What is the sample median of the six values above? 051 053.5 059 058.5 055.5

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Q: 5. Kelsey invested $3500 at 8.6% simple interest for 188 days. How much does Kelsey have now after…

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Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

A: Formulate a matrix of working and notworking women. Use the matrix to calculate the percentage of…

Q: Does closure law hold for the following: 1. Addition table for Z9 2. Multiplication table for Z9…

A: Let X be a non empty set, a binary operation defined on X, X is said to closure with respect to this…

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

A: The given problem is to expand and simplify the given expression using binomial theorem. Given…

Q: At a price of $4.76 per pound, the supply for cherries is 16,289 pounds, and the demand is 10,377…

A: Given- At a price of $4.76 per pound, the supply for cherries is 16,289 pounds, and the demand is…

Q: sin 0 - sec 0 + csc 0-tan 20 = -0.0866

A: We are given the following expression.       sin θ-sec θ+csc θ-tan 2θ=-0.0866 As simplification of…

Q: 3 3 b. 0 -9 000 -1 -2. In each part of Exercises 7-8, find the augmented matrix for the lin- ear…

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Q: Let A = 10 0 1 1 -8 2 -1 1 -2 -21 2 -2 6 0 0 -2. and w - 13 2 0 2 [2] . Determine if w is in Col A.…

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Q: Example: " if a point z lies on the unit circle |z|=1 about the origin, show that |z³ - 2| ≤ 3 and…

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Q: الموضوع : Ex: 4.3. Show That the sets Z\Y and Y/x disjoint, and 7\x=67 U Tet x ≤ y ≤ 7 be three sets…

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Q: A square hole of side 2 cm is chiseled perpendicular to the side of a cylindrical post of radius 2…

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Q: [100] 1 [1 0 0 5. IfA = |0 a) Av B b) ΑΛΒ c) ΑΘΒ [1 1 1] o 1), find 0 1] 1 and B=Jo [1

A: Here given matrices A=100011100 and B=111001101

Q: Check Last year's freshman class at Big State University totaled 5,320 students. Of those, 1,262…

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Q: Q/calculate limit statement lim 1-sinx X→ 1/1/20 X2502-1

A: It is not a limit questions we don't have check a+ and a- limit we have to put directly limit

Q: Find any relative(local) extrema and saddle points of f(x,y)=x+y^-4xy+1.

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Q: Use the formula for the binomial series: (1 + x)" = = to obtain the Maclaurin series for (k + 7)! 1…

A: Please see the attachment  4th option is correct

Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D H U₁AU = D.

A: Unitary matrix: U#U=UU#=I

Q: (10-x²)y" +5xy' + y = 0 Solve the given ODE by the POWER SERIES METHOD, if x = 0 is an ordin point.

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Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A: We have to  (a) To find the charge q(t)on the capacitor if i(0) = 0.2 (b) To determine the charge at…

Q: Solve the given initial-value problem. The DE is a Bernoulli equation. x2 dy - - 2xy = 4y4, y(1) = -…

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Q: Let f [0, 2] → R be a continuous function, with ƒ(0) ≤ f(1) ≤ f(2). Show that there : exists xo [0,…

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