Given the points (-10,5) and (1,4) find the slope

Q: Pedro, who deposited P500,000.00 today with a financial Institution M, agreed with the latter that…

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Q: A shoe manufacturer produces a pair of shoes at a labor cost of P9.00 a pair and a material cost of…

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Q: Question Use Desmos to sketch the trace of the quadric surface 2² 16 in the æz-plane. x² 81 y² 9 ||…

A: Given,        z216-x281-y29=1, in the XZ-plane.

Q: Let P, Q be two points on the sphere of radius 1. Assume that P # -Q. Show that there exists a curve…

A: Given Data: P and Q be two points on the sphere of radius 1 P ≠ -Q. Show that : There exists a…

Q: Find all values of z for which the following series converge. (a) L (1+z) n (n+2) (n+5)3n n=1 (6) L…

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Q: This week the price of stock DDD is $14 for each share for the past several weeks it has been…

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Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 45e-3ti + 75 cos(5t) j…

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Q: Consider the following differential equation. (y-x)y' = y + x y + x y-x Let f(x, y) = Find the…

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Q: (6= ₂h+₂x)=xA '99 ₂h+₂x)hAXA V (6= 53. Vyax(x² <y+1)

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Q: 3. Let m =(√2/2) (e₁ + e₂) where e₁ and e2 are orthonormal vectors. Is there a tensor A such that…

A: We are given that m=22e1+e2 where e1 and e2 are orthonormal vectors. Now, we need to find if there…

Q: The value of K1 bv RK 4 method when solving the problem y(0)=1 y-x when h=0.25 is 0.1 ( y = 0.5 (→…

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Q: Solve the linear differential equation dy y dx X 2x²

A: We have to solve the given differential equation.

Q: 1 1 التاريخ using the trafeZoid rule to Calculate ² (2+ Sin 2 x ³JJX Divide the periods into Partiat…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn)  to approximate the…

Q: 2. If TA'AA' = A', then K = TA' is the Penrose inverse of A. Use this principle to find the Penrose…

A: Given: In this problem, the given matrix is A=011011110 If TA'AA'=A', then K=TA' is the Penrose…

Q: Find the exact extreme values of the function z=f(x, y) = 30x+12y + 80 subject to the following…

A: Given: The function is z=fx,y=30x+12y+80 is subjected to the constraints y≥0 and y≥9-x2. To fill:…

Q: Construct the general solution of the differential equation dy x2d²y +x + (x² − ²)y = sin x dx² dx -

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Q: Find all prime ideals of (Z12, +12-12). Then find Rad (Z12).

A: Prime Ideal:  Let R be a commutative ring. An ideal P is called a prime ideal if P(not equal to R)…

Q: 11. We say that fn(x) is uniformly absolutely convergent on the interval DCR if Σfn (2)| n=1 n=1 is…

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Q: Find all of the roots for the algebraic equation z4-3iz²-2=0.

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Q: 10. In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that…

A: See next step for answer

Q: Look at the following proposition about a natural number n: 2 + 3 < 4 2, and n=3. (a.) Investigate…

A: Given inequality is 2n+3n&lt;4n. We have to prove that the inequality 2n+3n&lt;4n is true for all…

Q: Which of the following differential equations is NOT homogeneous? A B dy dx D x + y x-y (x²-xy + y²)…

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Q: 4. Find the Fourier transform of f(x) given by (b) (show the full calculation). f(x) = = fe if-assa…

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Q: Problem 10.1 2 Simplify 5 + 5i the following complex number. 20 + 3 - 4i 4 + 3i

A: solution : Given that the complex number  5+5i3-4i+204+3i

Q: Consider the function f(x)=exp(x). Let p=P₂ be the interpolation polynomial for the data x=(0,1/2,1)…

A: Given data set is as follows x=(0,1/2,1) and y=e0,e1/2,e1. To Find: The value of s=∫01pdx where p∈P2…

Q: 150 x₁ - 15x₂ + x3 = 1500 2x₁ + 120x29x3 = 1200 2x₁-22x2 + 110x3 = -900

A: Given system of equations are 150x1−15x2+8x3=15002x1+120x2−9x3=12002x1−22x2+110x3=−900............1…

Q: ?u а) t = 40 (г). Ət r Ər

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Q: lim a18 a n=1 ein.ln Tn2 arctan(nVT)

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Q: The force (N) during the drawback distance (m) are recorded to be x = [0.00 0.05 0.10 0.15 0.20…

A: Since there are multipart, therefore find the solution of  part (a).

Q: Prove that there are infinitely many primes of the form 4n+ 3, and of the form 6n+ 5.

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Q: L{e-3t* (sin2t/t) is 2/s+2 Ax ²e-2x Option 2 O 1/s+2

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Q: The particular solution of the following equation by using the method of undetermined coefficients…

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Q: Evaluate the definite integral by expressing it in terms of u and evaluating the resulting integral…

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Q: Evaluate the integral. (Use C for the constant of integration.) | (cos(s cos(5πt)i + sin(3πt)j + t²…

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Q: TEST FOR HOMOGENEITY: 4. e √x x-2xy x - y

A: A function f(x, y) is said to be homogeneous if f(Kx, Ky) = Knf(x, y)  where n is any real number…

Q: Test the convergency and divergency of the following series and find the sum Σ n=0 3"+2" 5n

A: 1st we have to check for convergence and then find sum of the series by using infinite geometric…

Q: the upper limitation for extor using. (Px (x) dx it is Tyler's Polynomial of the fon function. e…

A: The given function is Fx=excosx. The given point is x0=0. We know that the nth degree Taylor…

Q: What fallacy does this syllogism commit? All mothers are females; But all actresses are females;…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Present value (in $) of an annuity due Annuity Payment Payment Frequency Period (years) $1,500 every…

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Q: The advertising director of a large retail store in Lima, Ohio, is considering three advertising…

A: Given : The advertising director of a large retail store in Lima, Ohio, is considering three…

Q: PROBLEM 4. Verify if (pv q) ^ ~[(~ p^r) V (q)]}is tautology by showing the axiomatic proof.

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Q: The population of a certain country is known to increase at a rate proportional to the number of…

A: Given : The population of a country is increasing at a rate proportional to the number of people…

Q: Using Newton-Raphson process, find 0 and q if (stop after 3 iterations) • 1.5 sin (30) + 3 sin 0 -…

A: Given: System of equations in θ and φ. 1.5sin30°+3sinθ-2.6sinφ=0 1.5cos30°+3cosθ-2.6cosφ-4=0 To…

Q: In the following items determine whether the proposed negation is correct. If is is not, write a…

A: The negation of a mathematical statement is the opposite of the given mathematical statement. If “P”…

Q: What is the phase portrait?

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Q: Let u = - 22 32 and A = 10 3-5 6 Is u in the plane in R³ spanned by the columns of A? Why or why…

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Q: Calculus 1. For each of the functions f(x, y) below, describe its domain in set notation, give a…

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Q: For all x > 1 we have Στι(n) = 6(2) x2 + O(xloga). ηΣα

A: We recall some basic facts and then proceed to solve the problem. The detailed solution is given as…

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(eu + sin(v), e + cos(v)). Use the…

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Q: 1. We can generalize our approach to warto for any state function. Consider: f = 3x²³ - 2xy² for X₂…

A: As per the question, we will verify the above for f=3x3-2xy2. We are given that xi=1, yi=2; xf=5,…