Given points P, Q, R, and S. If PQ is aligned with SR and PS is aligned with QR, then prove that PR dan QS intersecting each other

Q: 1 y = - and y= 36 - 16x² X

A: We have to find the roots.

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Q: Consider the functions C: R → R and S: R → R defined by 00 C(x) = Σ n=0 2n (-1)" x ² (2n)! Use the…

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Q: a. 10 x₁-3x2 +6X3 = 24,5 b. 1x, + 8x2 - 2x3 = -9 C. -2X, +4X₂ -9x3 = -50

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Q: 1. Consider the formula (PAQ) → (P^ (P→ Q)) (a) Prove the validity of the above formula using rules…

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Q: 24.4. Let A = {1, 2} and B = {3, 4). Write down all functions f : A → B. Indicate which are…

A: Given sets are    and                The cardinality of A is   (  Number of elements in A…

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Q: X e the graphs of f(x)=x2+4 to solve the inequality 2+²4 50. 4 2 b) 4 2 0 2 -4 f(x) x 4 a) -3 2 4 8…

A: Let y=f(x) be the graph of the function. We know that  above the x-axis, on the x-axis and  below…

Q: x₁ = x₂ = 81 = 82= P = For the simplex tableau given below, enter the current values of the…

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Q: Question 7: Suppose that K,H ≤ G such that G = HK and Hn and hk = kh, VhEH and kE K. Show that G≈ H

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Q: SHO The equation y=x²- 12x + x days after an award-winni What was the first day that

A: Number of copies sold = at least 100This means 100 or more. So,

Q: 1.UA Hamburger Hamlet (UAHH) places a daily order for its high-volume items (hamburger patties,…

A: To solve these problems, we will use the Economic Order Quantity (EOQ) model for inventory…

Q: Write the function in terms of unit step functions and find the Laplace transform f(t) = { 2, -2, 0…

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Q: Determine the inverse Laplace transform of the function below. 16 s² +25 Click here to view the…

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Q: Solve the Lucas sequence L_n = L(n-1) + L(n-2), n ≥ 3; L_1 = 1, L_2 = 3.

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Q: ing up on this questiona nd its process, what would the solution be if w=1? w=2? These matrices and…

A: We have already obtianed from the Gauss-Jordan Elimination the reducedh echelon equations where…

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A: Given:The given function is:To find:approximate where the inflection points are located by using…

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Q: Use Gauss Jordan method to solve x-2y+4z=20 x+y+13z=-31 -2x+6y-z=-69

A: Given system of equations:We have to solve the given system of equations by using the Gauss Jordan…

Q: Give a precise €, N argument to prove the existence of 2n +3 lim n→∞o 3n+4

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Q: Evaluate the expression. P(9, 2) · P(6, 5)

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Q: Draw a Graph: Solution area of ​​the system of inequalities 3x + 2y ≤ 36; x + 2y ≥ 20; x≥0 and y≥0

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Q: 1. A professor is buying breakfast for his students as a way of saying Thank you for a good…

A: 1) Calculate the number of students who want either cereal or bacon using the Principle of Inclusion…

Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: Suppose a matrix A that reverses and shifts the values of a vector x, i.e., Ax = = (X2, X1, Xn,…

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Q: -5 1. Determine an equation in factored form for the polynomial function represented by the graph. 5…

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Q: Solve the given linear programming problem using the simplex method. If no optimal solution exists,…

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Q: 2 -2 EXB Solve X²³ Y-3x² y +6xý - 6 y = 30 X By using inverse operator

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Q: Define a digit to be an element of the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) Show that any real number…

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Q: he Question Let y(t) satisfy the following 2nd order ordinary differential equation: Sy" + 2y' - 2y…

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Q: 4. Let : Z → Z be given by (n) = 7n. Prove that is a group homomorphism. Find the kernel and the…

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Q: 5. Find the area of the Hershey kiss enclosed by r₁(t) = (sin(xt)², +² — 1) for −1 ≤ t ≤ 1.

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Q: If the distance of the earth from Sun is 1.5 × 10º km. Then the distance of an imaginary planet from…

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Q: Consider the functions C: R → R and S: R → R defined by 00 Σ Σ n=0 n=0 Define a constant to be 2x…

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Q: For each of the following syllogisms, translate each statement as close to standard categorical form…

A: For each of the given syllogisms,we have to translate each statement as close to standard…

Q: 1. A professor is buying breakfast for his students as a way of saying Thank you for a good…

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Q: Use Use the E-S definition of limit to establish the lim X+5 X->-12x+3=4

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Q: A particle is moving along the x-axis under the influence of a variable force F(x) = + √x. 1. Find…

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Q: Consider the following initial value problem: y" + 25y = f(t); f(t) = { y(0) = 0, y'(0) = 5; 5, 0≤t…

A: Consider the following initial value problem:y" + 25y = f(t); y(0) = 0, y'(0) = 5;f(t):=5, 0 ≤ t…

Q: Determine whether the sequence defined by converges, find its limit. a. 1 b. 5 8 c. 0 d. Diverges 5*…

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Q: 22.3 Let E= Q(√2,√√3, √5). Find [E: Q] and a basis for E over Q.

A: Let .Find  and find a basis for  over .

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Q: 5. An aquarium is going to be built in the shape of a rectangular parallelepiped with sides 80cm,…

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Q: Find the scalar equation for the plane passing through the point P(-5, -5, 5) and containing the…

A: Given that the line L defined by:                     To find the scalar equation for the plane…

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Q: Use the method of Lagrange multipliers to minimize the function subject to the given constraint.…

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Q: Could you explain to me how to find the inverse Fourier transform of the function __ (w+4)² 32 a.…

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