32. Model With Mathematics In order to take a panoramic photograph, a camera must have a hyperbolic mirror. The graphic shows that the camera is below the mirror. The lens is at one focus of the camera, and the mirror is at one vertex. Write an equation for the cross section of the mirror. (0, 2) (0, -2.5)

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: By direct partial integration, Solve the following 5 4 PDES - X 8²z буду dZ =0, Z(X₂0) = X+X, Z (2,…

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Q: Solve the following differential equations by linear method. dy dx + 2xy = 0

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Q: An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where…

A: Note:- As per our guidelines, we can answer the first of this problem as all the methods are…

Q: 3 By direct partial integration, Solve the following PDES 8- X²Z ахду 4 JZ = 0, Z(X₂0) = x² + x, Z…

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Q: A linear operator T: P2 P2 is defined as T(p(x)) = p(2x+1), i.e. T(c + c₁x + c₂x²) = C₁ + c₁ (2x +…

A: Here T is given linear operator from P2 to P2. First we have to find matrix TB of T with respect to…

Q: 8 3. Then 4 Let f be the sum of the power series √1+5n n=0 (A) ƒ"(0) = √11 (B) ƒ(7)(0) = 0 (C) the…

A: Given that  f be the sum of the power series  ∑n=0∞11+5nx3n. The correct option is (B).  f(7)(0)=0

Q: 3. What is the angle between A and B if A.B=0 4. Find (u+v) (2u-v) given that uu=4 u v=-5 and v.v=10…

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Q: a € ¹ { x² + 0²² 8² + 6² } s2 [sen (3t+ 2u) + sen(8u - 3t)] du Applying the Convolution Theorem to…

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Q: A fireplace arch must be constructed in the shape of a semi-ellipse. The opening must be 60 cm high…

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Q: Let D30 (1,2,3,5,6, 10, 15, 30), and define a partial order on Dao by x ≤ y if 1 and only if a…

A: Given:   D30 = {1,2,3,5,6,10,15,30}

Q: 5 Determinants Calculate the determinant of the matrices 0 1 0 0 0 a 0 0 1220 2403 0020 0003 M = , N…

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Q: Let p= "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: "If it is…

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Q: Can you help me with this by showing all the steps. Thank you A gasoline station can sell 10,000…

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Q: 5 By Separation of variables, Solve the following PDES- ²4 ● = 4 ²4 dx² 0 o u(e,t) = u(5,t) =6…

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Q: 2. Find the Wronskian of: a. -2x³ + 12 2x³ + 12 b. C. 0 d. Undefined f₁=x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

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Q: 1. Solve the following system 2x₁6x₂x3 = -38 -3x₁ - x₂ + 7x3 = 34 -8x₁ + x₂ - 2x3 = 20 using the…

A: Let us solve the given system of equations using Jacobi method in the next steps.

Q: 1. Use centered-difference approximation to estimate the first and second derivatives of y = xex at…

A: Given function is y=f(x)=xexx+1 and h=0.1 O(h2) formulae f'(x)=f(x+h)-f(x-h)2h…

Q: Use Cartesian coordinates to evaluate y² dv D where D is the tetrahedron in the first octant bounded…

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Q: F :1: Solve L-1)2(s+10)-140 섹 (s+1)² +400)

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Q: By Separation of variables, Solve the follow PDES :- ²4 d²4 dt² =43 2 dx² •o u(e,t) = u(s, t) =6…

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Q: 130. y" = 3y + xe xẻ -x

A: Solution :

Q: Q2/ For the given function x² + y² = 4,find a) Domain and range for the function. b) Graph of the…

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Q: Solve

A: find the value of x,y,z

Q: 2) Let f be continuous on [a, b], f' (c) exists c = (a, b) such that- f(c) differentiable on (a, b)…

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Q: Question 1 ( In the following table, state the order of each of the differential equations. Are they…

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Q: Consider the following two player bi-matrix game 19 6 19 1 -10 21 B = 0 -8 -5 A = 7 12 6 2 14 16/ -9…

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Q: Next question Find the volume of the solid whose base is the region in the xy-plane that is bounded…

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Q: True or false. Justify your answer.

A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: Consider the integral: f(t)-10e-15t = 17t- -S sen(t-u)f(u)du When applying Laplace transform in both…

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Q: 6 Let D = {(x, y) € R² : 0 ≤ y ≤ 3,-√√9-y² ≤ x ≤ √√√3-y} and g continuous function. Then the…

A: Given ,D=(x,y)∈ℝ2 : 0≤y≤3,  -9-y2≤x≤3-y and g: D→ℝThus region is bounded byx2+y2 =9 and x2 =3-y for…

Q: Let p= "It is extremely humid." Let q = "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: the volume of R using cylindrical coordinates with dV = r dz dr de where R: 0≤ x ≤ 1,0 ≤ y ≤ √1-x²,…

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Q: Find the line integral along the given path C. f(x-y)d: - y)dx, where C: x=t, y=3t+8, for 0sts6…

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Q: Q5/Solve for x the following inequality and show their solution set (x: x2-x-30-01

A: We have to solve for x. Given inequality is  x:x2-x-30⩽0. Now we can solve for x .

Q: 4. Solve the following 2nd_order OPES (5 steps) day = ( x ) = + (1 - 1) dy dx² dx h=0.02 Y(0) = 4 ال

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Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π<x<π

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

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Q: By direct partial integration, Solve the following PDES 8- • Xd²z ахду dz ду + =0 Z(X,0) = X+X =X+X,…

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Q: Find the general Solution of the following PDES ди -5х ди ду -3x ucx;o) = зе 9 2 +4 , > idx + 2e…

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Q: in Column B. Column A 1. f(x-4)³dx 2. f(x + 1)³dx 3. f(x - 5)*dx 4. f(2x³-5) 6x²dx 5. f(x5 +1) 75x*…

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Q: Find and classify the critical poruts g a te functions f(x,y) = exsing f(x, y) = excosy

A: 1 Given function is fx,y=exsiny. We have to find the critical point of fx,y. Differentiate…

Q: (d) F = R, V = {ve R²: v+v ≤ 0}; * (e) F = C, V = {ve C²: v² - 2v₁v2 + ² = 0}; (f) F= C, V = R²;

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Q: 8. A frog is at the bottom of a ten feet well. Each day it crawls 2 feet and loses its grip and…

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Q: 1. Sesin 5y dy by using substitution method. Determine fes

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Q: Find the particular solution to the differential equation when y(0)=3 and (2)=1

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Q: 3 By direct partial integration, Solve the following PDES & 82u axdy = cos x cosy, u(x,#) = x…

A: Solution :

Q: 00 10x Find a power series for f(x) = |x|< 1 in the form " an. (x² + 1)² n=1 Hint: First, find the…

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Q: 03 (1) , 0،65 = (لار = 9 + ۱ - ( - ) .b 1

A: Given the 2nd order differential equation:  x2-xy''-xy'+y=0 with conditions  y12=0.65, y'12=0.3…