The diagram shows a triangle ABC. 5 cm 6 cm B The lengths of AC and BC are 5 cm and 6 cm respectively. The area of triangle ABC is 12.5 cm², and angle ACB is obtuse. (a) Find the size of angle ACB, giving your answer to the nearest 0.1°. (b) Find the length of AB, giving your answer to two significant figures.

Q: Show that if v is a harmonic conjugate for u, then -u is a harmonic conjugate for v.

A:

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: If the world's population grows at a rate proportional to the present population and it is recorded…

A: 20 billion population reached in 2121. Hence correct option is second one. For details calculation…

Q: algebrail dosure OF F. Then th

A:

Q: (f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

A:

Q: Let G be any group with the identity element e. With using the Group Homomorphism Fundamental…

A:

Q: (x) = 2(¹) ¹²* + 5. The y-intercept for the function g(x)=2 A) 2 B) / +3 is: C) 3 D) 5

A:

Q: the value of a and b. aº 55° bo 45°

A: The given lines are parallel Therefore use the result pair of alternate angles are equal

Q: 3. a) Describe the translations applied to the graph of y=x² to obtain a graph of the quadratic…

A:

Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

A:

Q: Answer the following using Polya's Four step in Problem Solving. 5. Find two numbers that have sum…

A: Polya's Four step in Problem Solving. Understand the problem Strategy to solve the problem Solve…

Q: Evaluate.. L Power series X->>> im sinx-tanx X M

A: Limit: A limit is defined as a real number that a real valued function approaches when the real…

Q: Prove the absorption law of x + xy = x using other laws of identi

A: to prove x+xy=x x+xy=x1+y use the identity law x+0=xx·1=x hence,  x+xy=x·1+x·y

Q: A curve is such that the area bounded between the curve, the y-axis, the x-axis and the line…

A:

Q: 23. Let A be a non-empty set of positive numbers, which is ounded above and let B= {xe R: 1/x e A}.…

A:

Q: the solution of the homogenous equation (хусот х -)dy - Ydx = o

A:

Q: ments are relevant. A search engine ns 30 documents, out of which 12 are ant. What is the recall in…

A: Solution :-

Q: . Find the maximal interval of existence and uniqueness of the solutions to y' = eV¹-1²-y², y(0) = C…

A: This is a problem of ODE, Existence, and Uniqueness verification.

Q: in a graph What is vertex coloring and upper bounds ? And give examples

A: To find what is vertex coloring and upper bound .

Q: The center of curvature C (h,k) is at A (2, 1) (B) (3, 0) © (4, -1) (5,-2) (D)

A:

Q: Use Newton's Divided Difference Formula to interpolate f(1), if the polynomial has given points…

A: The given interpolating points are: (-1,0),(2,1),(3,1),(5,2). To construct: Newton's divided…

Q: 1. Compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a basis for each…

A: Eigenvalues and Eigenvectors of the matrix

Q: Part 1 Use differentiation and/or integration to express the following function as a power series…

A:

Q: Solve the linear system using both gaussian and gauss-jordan elimination 3x₁2x₂ + 4x3 = 1 x₁ + x₂ -…

A: We know that the Gaussian elimination method is used to find the solution of the system of linear…

Q: Do the following: 1. Find a graph with 12 edges having six vertices of degree three and the…

A: We need to find a graph with 12 edges, such that 6 vertices have degree three and remaining all the…

Q: (a) How many distinguishable ways can the letters of the word MILLIMICRON be arranged in order?…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let d1, d2 be the diagnols of a parallelogram given,  d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…

Q: The target thickness of aluminum sheets produced by a machine is 5 mm. A sample of 50 sheets is…

A:

Q: Determine angles

A:

Q: b) Evaluate the integral using polar coordinates: 2x-x² So So x dydx 0

A:

Q: 2. An even function f(t) has Fourier coefficients ao = 1 and an = 2 and period 27. Use Parseval's…

A: “As per the policy we are allowed to answer only 1 question at a time, I am providing the same.…

Q: 1. Given f(x) = 12x²-8x+4 and g(x) = 6x²+3x-9. Evaluate (f-g) x. 2. Given f(x) = 6x³ +7x²-5 and g(x)…

A:

Q: Determine length to. he D as

A: Congruent triangles have equal parts but here since they are not same , considering the triangles…

Q: 10. (A is the relation defined on Z as follows: for all x, y € Z, x Ay ⇒x=y (mod 3). Describe the…

A:

Q: 3) Evaluate the iterated integral by converting. polar coordinates the to as to bo a) √x²+y² dy dx

A: Solution 3: a: Given  ∫01∫02x-x2x2+y2dydx Here 0≤x≤1 and y=0 to…

Q: Use the root test to determine whether the series n=1 Since lim 4. = 898 7n³-n-2 n converges or…

A: Solution

Q: Solve the linear system using both gaussian and gauss-jordan elimination X1 - 3x3 = 10 3x₁ + x₂ -…

A: To solve the given linear system of equations using Gaussian elimination method.…

Q: 13. Evaluate the function. Give the exact value. cos (tan-¹(√3))

A: To evaluate the given function and give the exact value :-

Q: Let k be a real number and (M) be the following system. (M): x+y=k-1 2x + y = 0 Using Cramer's Rule,…

A:

Q: A solution to a system of equations can be solved by finding where the two graphs intersect.…

A: Start from the origin, move p units to the right along the x axis and q units up along the y axis to…

Q: Which can be said correct given the augmented matrix below? [ 1 3 0 | -5 ] [ 0 0 1 | 3 ] This matrix…

A: Given augmented matrix, AD=130001-53 AX=D130001xyz=-53 On solving the given system in variables x,…

Q: let I be a non-Reso ideal.

A:

Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2…

A: Given parametric curve is x(t)=2cos(3t)-3sin(2t)y(t)=1t+5sin(t) Now…

Q: Find two linearly independent solutions of 2x²y" - xy' + (−3x + 1)y = 0, x > 0 = x¹¹ (1 + α₁x + a₂x²…

A:

Q: (b) Find all solutions to the system of linear equations in x, y, z which has augmented matrix 1-2…

A:

Q: * A hard-boiled egg at 97°C is put into a sink of 15°C water. After 5 minutes, the egg's is 35°C.…

A: Newton's cooling law is used

Q: Problem Five: Dorian makes luxury cars and jeeps for high-income men and women. It wishes to…

A: Solution : let, number of spots in comedy show =x , and number of spots in football games=y total…

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x) =

A:

Q: Which of the following statements represent EXPONENTIAL functions? Check all that apply. The price…

A: Introduction: An exponential function is a mathematical function that can be used to a variety of…

Q: Determine length to 5

A: