angle of Two medians drawn from acute angles of a right angled triangles intersect at an pi/6. If the length of the hypotenuse of the triangle si 3 units, then find the area of the triangle]

Q: (a) Sketch the graph of the given function. 3, = {³+ f(t) s f(t) = 3 2 f(t) 0 2 (b) Express f(t) in…

A:

Q: dy/dx=(3-x-y)/(x+y) by using an appropriate substitution.

A:

Q: Let  f (x) be a function which is continuous on [−7, 3] and differentiable on (−7, 3). Suppose that…

A:

Q: A group of 30 students plan to take classes. If 13 of them will take English, 17 will take Biology,…

A: A group of  students plan to take classes. If  of them will take English,  will take Biology,  will…

Q: 3. Assume that f is uniformly continuous on a bounded set S, prove that f(S) is bounded. (hint: thm…

A:

Q: [1 2] ----- 3 4 and B 5 6 Let A = 6 Tick the option(s) that are mathematically valid (superscript…

A:

Q: 3. Identify five shapes of containers that can be found in a grocery store.

A:

Q: Find the laplace transform of the following function f(t) = 58(t-7)

A:

Q: Given the following graph of the function y = f(x) and n = 6, answer the following questions about…

A: Trapezoidal and Simpson's Rule can be used to find the integration of a function between two limits…

Q: Find the area of the region bounded by the curves x²y = 2, x²y = 3, y = x and y = 2x.

A:

Q: Find the square root of 138 with modern method

A:

Q: Find bases for the kernel, image, cokernel, and coimage of the following matrix: -31 A = -9

A: We have to Find bases for the kernel, image, cokernel, and coimage of the given matrix A.

Q: 8. List the following in decreasing order: 8 cm, 5218 mm, 245 cm, 91 mm, 6m, 700 mm.

A:

Q: One of the following is a general solution of the homogeneous differential equation y" + 5y + 6y = 0…

A: In this question, we will find the solution of the differential equations.

Q: In P2, find the the standard basis C = {1,t,t²}. Then find the B-coordinate vector for 1 - 2t + 2t².…

A:

Q: Calculate each of the following expressions, rounding to 3 decimals if necessary. a) log 10, 000 b)…

A:

Q: Yn+1(x) = A + f" de dt F(t, yn (t)), yo(x) = A, a is erate of the solution to (a) Use the iterative…

A:

Q: To evaluate the following integral, carry out these steps. a. Sketch the original region of…

A:

Q: 4 [1] 2. Is the vector 5 in the column space of matrix A = 1 0 -2 −4 4 4 5 3 -13]

A:

Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R² →R¹, T (e₁) = (3, 1,…

A:

Q: Find two numbers that meet

A: Then x+y= 15 xy= 56we solve the equation to find the value

Q: PROBLEM 2: R¹ Suppose that b is a vector in R2 and 3 is a Let T be a linear transformation R² 1…

A:

Q: consider the following. f(x) = 2x x+2 se a computer algebra system to find the derivative of the…

A:

Q: Compute the adjugate of the given matrix, and then use the Inverse Formula to give the inverse of…

A:

Q: Choose the correct answer below. OA 2 О в. о O C. 1 D. It depends on the specific probability…

A: For any probability density function, the total area under the curve must always be equal to 1 .…

Q: For each of the following, place a decimal point in the sentence reasonable: a. A stack of 10 dimes…

A: To make each sentence reasonable, we need to add decimal points in the numbers.(a) A stack of 10…

Q: Use four rectangles to find an estimate of each type for the area under the given graph of f from x…

A: We have to find the left and right approximate value of the ture area

Q: 2 dy - y? + 6y = 13 dx

A:

Q: For any given positive integer m, find the Laurent series for 0 2. 1 zm (2-2) on the annulus

A:

Q: Problem 3. Consider a template category J consisting of a commutative diagram 0 →>> ↓ ↓ 2 3 1. Let…

A: In the context of category theory, consider a template category represented by a commutative…

Q: 1. The temperature of a city t hours after 8:00 am Is modeled (in degrees Fahrenheit) by the…

A: Given that Recall  the  fact  that if  be any  function  of  t, then  the  average  integral is…

Q: (a) Evaluate the following double integral and sketch the region R ³² (x + y)² dydx S2²ª (b) Change…

A:

Q: 1b. Show that lim inf (n) = = -∞ if and only if {n} is not bounded below.

A:

Q: An open-topped box can be made from a sheet of aluminium measuring 50 cm by 30 cm by cutting…

A: Give that, an open-topped box can be made from a sheet of aluminum measuring  by  by cutting…

Q: Write a formal induction proof (Base Case and Inductive Step) Prove by induction that…

A:

Q: Consider this system of equations: X1 - X2 X3 1 x1 - x2 + x3 = 5 -x1 + x₂ + x3 = -6 A. Write the…

A:

Q: Inter-Arrival Time (Minutes) 1.0452 0.9838 1.5661 1.4868 1.7563 1.0177 1.3243 1.0873 1.4763 1.5981…

A: Given information:A sample of the early rising voters:Inter-Arrival Time(minutes)Inter-Service…

Q: write the Heron's formule for the triangle. aree of a

A:

Q: Let B = b₂ = 3c₁ - 2c₂. be bases for a vector space V, and suppose b₁ = {C₁,C₂} {b₁,b₂} and C= a.…

A:

Q: I need detailed help solving this matrix, please.

A:

Q: 1. Show that - = (0.01010101) - Hint: = = Σ two 3 3 Ο i=1

A: To prove that:

Q: Calculate the average rate of change for the function f(x) over the interval -2 ≤ x ≤ 5 -3x² 2 == -…

A: over the interval .We have to find the average rate of change for the given function.

Q: 2. Suppose DC R and functions f: D→ R and g: DR. Suppose to is an accumulation point of D and lim…

A:

Q: 11. Distance Traveled to Work A recent study of 28 employees of XYZ company showed that the mean of…

A: Distance Traveled to Work A recent study of 28 employees of XYZ company showed that the mean of…

Q: The nzezt ғ не аги

A:

Q: 3. Calculate the value of the integral -2π π/2 [²* [*¹² ²p³ sin² √4-p² sin² o dp dº dº.

A:

Q: Verify that the identity Lo 8 (1+²) = Log(1 + 2) — Log(1 − 2) holds when [z] < 1. Then, using the…

A: To prove that the identity:               hold when To find the maclarurin expansion of

Q: Problem 2. Are there two 3 by 3 matrices A and B, both of rank 2, such that AB is the zero matrix?…

A: We have to check whether there two 3 by 3 matrices A and B, both of rank 2, such that AB is the zero…

Q: IV. Two integers x and y are said to be of the same parity if x and y are both even or are both odd.…

A:

Q: Show that the series Show that the series N=1 Cos N is divergent. E Σ (cos N)/N² is convergent. N=1

A: We have to show the given series is divergent or convergent.