the girl has 5 apples she eats 2 how many apples dose she have left ?

Q: 43 1040 Determine the length of the pre-period and the length of the period for the decimal…

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Q: Apply Gram-Schmidt to (1, 0, −1, 1), (2, 1, −1, 0) , (2, −1, −1, 3) to obtain an orthonormal set…

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Q: 19. Approximate the sum to the indicated accuracy. (-1)^²-1 n? (five decimal places)

A: ∑(-1)n-1n7     (From the problem) We know that, Geometric Sum formula for Infinite terms, Sn=a1-r…

Q: Q14 Let X= R. Define a function : P(R) → [0,0] by #* (A) = { #A (a) Show that is an outer measure on…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Use the properties of logarithms and the logarithm log_(4)(x+3)+log_(4)(x-2)=log_(4)(4x+4)

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Q: 2) In a game you flip a coin twice and record the number of heads that occur. You get 10 points for…

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Q: 1) A $20, two $10 bills, three $5 bills and four $1 bills are placed in a bag. If a bill is chosen…

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Q: Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

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Q: 16. Find the general formula for the recursive sequence below. an = an-1+2, ao = -2 17. Find the…

A: 16. We have to find the general formula for the recursive sequence:  an=an-1+2, a0=-2 17. We have to…

Q: 1. We showed that if a differentiable function f on an open interval I has a local max or min atxo,…

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Q: Calculate the velocity v (t) and acceleration a(t) of the following vector trajectory r(t) =…

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Q: 54. Area line integral In terms of the parameters a and b, how is the value of fe ay dx + bx dy…

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Q: solve the following initial value problem using an integrating factor. dy/dx + 2x/x^2 = 3x^2/x^2 + 4…

A: The given equation is: dydx+2xx2=3x2x2+4,y(0)=2

Q: 1. Assume ACR and, for each n e Zt, fn: A → R is unbounded. (a) If (fn) converges to f pointwise,…

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Q: 4)Solve the wave equation with the given conditions Ихх = Utt U(ot)=0, U(4,+)=0 (,0) = where (₁0) =…

A: The given problem is find the solution for the given wave equation partial differential equation…

Q: Exercise 4.4.7. Let n be odd. Prove that if we divide n² by 8, then the remainder is always 1.…

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Q: 11. The position of an object subject to uniform circular motion around the origin is given by (see…

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Q: Use the laws of logic to show that ((s V¬r V¬q) ^ (¬s Vr Vs) ^ (rv¬sv¬q)) = ¬(q^r).

A: De Morgan’s laws are a pair of mathematical rules that relate the logical operators “and” and “or”…

Q: (i) All swans are white. (S, swan; W, white) (ii) Every swan is white. (S, swan; W, white)

A: As per the guideline, I am supposed to solve first three sub-parts of the given problem. Given that…

Q: Solve the system of equations. If a system has one unique solution, write the solution set.…

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Q: 2. (a) curves? (2³+) dr + (y² + luz) dy = 0 Solve the equation. What type of equation is this? What…

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Q: Draw a normal curve with u = 110 and o = 5. a) What percentage is between 110 and 115? b) What…

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Q: Recall the inner product (ƒ, g) = [”, f(z)g(z) dz defined on the vector space C([-]) of continuous…

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Q: 1. Use Theorem 1 to obtain the general solution of the given first-order systems; if initial…

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Q: T a) Use the residue theory to evaluate the integral ſ de (a+cos 0)²¹ where a > 1.

A: We have to solve the given problem by residue theorem.

Q: 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: (a) Required volume                       = 2∫4 πy2dx                       = 2∫4 π{√(25 - x2)}2 dx…

Q: Find the general formula for the recursive sequence below. an = an-1 + 5, ao = an = - 3

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Q: (b) Let R be a ring. Prove that, if 0 is the additive identity in R, then 0.a = 0 for every element…

A: In abstract algebra, a ring is a set R equipped with two binary operations, usually denoted by + and…

Q: Express the solution of the given initial value problem as a sum of two oscillations. Primes denote…

A: The given initial value problem is x''+49x=90cos2t, x0=x'0=0. We have to find the solution to the…

Q: The distribution of heights of adult males is normally distributed with meani inches and standard…

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Q: The set {xER | x-220 or − 3x > 1} - can be expressed in interval notation as:

A: (.). Given set is ,      x∈ℝ  |  x-2≥0   or  -3x>1  (.)  If  A and B are two sets then union of A…

Q: (a) Let f(x, y) = x² + y². Plot the vector field Vf and the level curves of f on the same plot. (b)…

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Q: For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine…

A: As f(x)=-9(x^2+9)(x-3)^3 The real series of f are (x-3)^3=0  So x=3,3,3 are real zeroed Henceforth…

Q: Determine the length of the period for the decimal expansion of 8881 Note that 8881 83 107. =

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Q: Prove that the following functions are bijections: (a)  f: R → R given by f(x)=ax+b, where a ≠ 0.…

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Q: Diagonalize a matrix to find all functions f (x)and g(x) solving the differential equation: f′(x) =…

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Q: Which of the following maps are linear (a) f: R→R where f(x) = sin(x). (b) g: R³ R4 where → I₁ g(12…

A: We have to find which of the following map is linear

Q: [9] Solve the initial-value-problem |x²+2x¹+2x=28(1-1) x(0)=0, x¹(0)=0

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Q: A certain experiment produces the data (3,7.5), (4,5.4), and (5,-0.4). Describe the model that…

A: A certain experiment produces the data (3,7.5), (4,5.4), and (5,-0.4). We have to describe the model…

Q: A contour map for a function f is shown. 5 -4 -3 8+ 7 to 6- 5 m PO 7 cy 16 8 10 3 40 Use the contour…

A: For the given counter map or level curve every circle indicates the same value of f(x,y) along them.

Q: Use spherical coordinates to evaluate and the sphere x² + y² + z² = 4. [] [² z dV, where E is the…

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Q: 6 7 Let A = -14 -15 Find S, D, and S-¹ such that A = S = 188 SDS-¹. D = [881-1881 0 0

A: A=67-14-15

Q: Sketch the given curve: R. (t) = (3 cos t, 4 sin t), 0 ≤ t ≤ 2m.

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Q: For the given function and interval, find the smallest value of n such that the remainder M estimate…

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Q: A = [PD] = 42 , λ = 0,5

A: (.)  Given matrix is ,               A=4221  and eigen values of matrix A are λ= 5 ,0 . (.)…

Q: Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

A: Euler path is the path should cover all the edges of the graph exactly once. No edge cover for two…

Q: Show that f(fdx + gdy = f( 18x²y'da +24y³a³dy is independent of path: (9,3) (4,-4) af = 72x^2y^3 dy…

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Q: find a power series representation for the function and determine the interval of convergence: f(x)=…

A: I have explained everything with in the solution. Please go through that

Q: Solve the given initial value problem using the method of Laplace transforms: y" − 3y' +2y=e4;…

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Q: 3. (a) Let S be a compact regular surface. Show that there exists a point p on S such that K(p) > 0.…

A: Gaussian curvature is a fundamental concept in differential geometry that describes the intrinsic…