If any point D is taken on the base BC of an isosceles triangle ABC and DEF is drawn perpendicular to the base BC and meets AB and AC or produced in E and F, show that (DE + DF) is a constant quantity and equals twice the perpendicular from A to BC. CONSTRUCTION: Draw AP and AQ Is BC and DEF respectively. From B draw BF' | BC to meet CA produced in F' A E B D

Q: 0.7 4 sin x"dx

A: To Evaluate the  given series we will use the Taylor's series for sin x4  Taylor series for sin x…

Q: Guten the olrne Puith equrtim ge ry-g = 3. and line Lusithugmmetre equrtim e = 1 - y = g. determine…

A: If the plane and the line intersects, then we need to determine the intersection point, otherwise,…

Q: B. Find the volume of the solid generated when the plane region bounded by 3. y = e-x² and the x –…

A:

Q: eference to the function: g(x)=x2 +2x − 6 (−1 ≤ x ≤ 3) Sketch the graph of g, using equal scales…

A: In this question, the concept of the graph is applied. Graph The graph of a function is the…

Q: Find and classify the critical points of z (x² – 2a) (y² – 4y) Local maximums: Local minimums:…

A:

Q: Q3: (A) Prove that 1. There is no simple group of order 200. 2. Every group of index 2 is normal.

A:

Q: 1. Consider the following statement: "If a number is divisible by 24, then it is divisible by 4 and…

A:

Q: Please provide a clear new answer for Descrete Mathematics. Thank you.   Compare proof by…

A: Proof by contradiction:- This is actually done by assuming the proposition to be false which is…

Q: (2) Express the vector ū = < 3, 2 ,7) as a sum of a vector parallel to DC ond a vector perpendicular…

A: Consider the points A-2, 3, 1 , B0, 0, 2and C-1, 5, -2. We have to solve the following :…

Q: (1). 4 Evaluate 4

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

Q: Question 8 Given AABC shown in the graph beloW, if it is the case that: AXYZ=T{3,1}\Rx - axis…

A: From the triangle ABC The vertices of triangle ABC is A (-1,-1) B(1,2) C(-2,4)

Q: 6. Use the function g(x) = -x+2 with initial values of 4, 2, and 1. What happens after many…

A:

Q: Q26: Define the integral domain ring. Is every ring an integral domain?

A:

Q: A furniture maker makes three different style of wardrobes: x,, x, and x,. The manufacture of each…

A: Given: A furniture maker makes three different styles of wardrobes: x1, x2, and x3. The manufacture…

Q: Using Laplace and Inverse Laplace Transformation, find the particular solution of the following: a)…

A:

Q: Solve the following problem over the interval from x = 0 to 1using a step size of 0.25 where y(0) =…

A:

Q: Q4) Find the largest eigen value for the matrix 1 2 A= 5 4 with x' (0) = (7/17 1)

A: To find The largest eigenvalue for the given matrix.

Q: How can I use  a story using the word submarines that models −4 + 2

A: Submarines models is used to perform simple addition for beginners. Consider a submarine which is…

Q: Oac-b)= C-ajb= - Cab) (i) C-a) (-b) = ab %3D

A:

Q: Given r(t) = f(t) i + g(t) j Prove that r '(t) = f'(t) i + g '(t) j using limits

A:

Q: Find the zero-divisors of Z6.

A: To find The zero divisors of z_6.

Q: Please solve manually using formulas/actuarial symbols. 1. A fund earning 8% annual effective rate…

A: Given: 1) Fund earning 2) Rate of interest To find: 1) Maximum number of withdrawals 2) Annual…

Q: Consider the differential equation ry(3) – 6ry' + 12y = 0. Find distinct values of r, say r1, r2,…

A:

Q: Directions: Determine the reasons of the following statement. In the given figure, if

A: Given,            EF¯≅GH¯ To prove that,             EG¯≅FH¯

Q: 1. Let C be the curve of intersection of the paraboloid x2 + y? = z and the cylinder 4 - + (y – 1)²…

A:

Q: Identify the given pairs of angles. Refer to the given figure. 3 4 7 8 10 13 14 11 12 15/ 16 2. 9,

A: There are various angles formed, when two parallel lines are intersected by a traversal. If the sum…

Q: f 1.5 mg and a half-life of approximately 6 years. (Show all work!) 1. How much of the sample will…

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Consider the function g defined by 1 g(x, y) = cos (Ta V) + log3 (r – y Do as indicated. 1.…

A:

Q: Graph the function corresponding to the sequence defined. Use the graph to decide whether the…

A:

Q: roup of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Order of a group G

Q: Q14: Define subring. Is the set S = is a subring of the ring M of all 2 x 2 matrices?

A: Let S be a ring  then  a,b∈S then a+b∈S 0∈S a∈S then -a∈S a,b∈S then  ab∈S

Q: How many passwords can be made if each password a sequence of 4 uppercase flowed by a consonant…

A: Total uppercase letters = 26 So we can select 4 in 26*26*26*26 = 456,976 ways Total consonant = 21…

Q: ABCD is a parallelogram. From Da perpendicular DR is drawn to AC. BN is drawn || to AC to meet DR…

A:

Q: If A and B are finite sets, then A ∪ B is also a finite set

A: Let A and B are finite sets. We need to show that , A ∪ B is also finite set. case 1) If A = B = ϕ A…

Q: Game Activity 2: KenKen Puzzle exercise nstructions Rubric Choose one puzzle only. Upload your…

A:

Q: 1. Write your birthday (mm-dd-yy). . . Use this in the given for the problems. 2. Mrs. Rivera wants…

A: Note: We are entitled to solve only one question at a time. As the specific one is not mentioned, So…

Q: Use Newton Method to locate the minimum of: f(x) = x² + e=* + (4x + x²)² – 2 %3D Using an initial…

A: To determine the minimum value of the function fx, solve the equation f'x=0 for x. Let f'x=gx To…

Q: QUESTION 5 Four different books M, A, T, and H are to be arranged on a shelf. How many arrangements…

A:

Q: (a) Formulate a linear programming model for this problem. (b) Determine the feasible region by…

A:

Q: xz, + 2yzy = 0, for r > 0, y > 0 yzz – 4xz, = 2ry, for all (r, y) #2, – ryzy = z, for all (r, y)

A: (A) Given the PDE xzx+2yzy=0 We will use the characteristic method to find the solution.

Q: On the sides of a triangle ABC, squares ABDE, ACFG, BCJK are constructed externally to it. BF, AJ,…

A:

Q: Q6: Define the Boolean ring. Is (Z,+,.) Boolean?

A:

Q: For u = 0 the (r, 0) system becomes decoupled. Identify all periodic solutions and explain if they…

A: Given: An autonomous system of equations, r˙=r1-μ1+sinθ-r2 θ˙=1   To identify: All the periodic…

Q: تكلهلتـمـِيله ملتههلعللمو )ي محلموكلوفحلرللتههد x^(5- )x = )ه ,Q

A:

Q: Solve for the value of “x" 6 1 1.) – 2 = -1 2 х

A: The value of x

Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division…

A:

Q: x2-5x-14 Graph function of f (x) = (A -8 marks; C-4 marks). x-4 Remember that in order to graph this…

A:

Q: Q21. Give an example for a not commutative ring with identity. Q. 22 True/ false 2 and 3 have…

A:

Q: Q29: Define the Boolean ring. Is (Z,+,.) Boolean?

A: