Two identical semi-circles, having a radius of 4 cm., are inscribed in a big semi-circle that has a radius equal to twice of that of the idential semi-circles. (or 2x4 cm.) The centers of the three semi-circles are collinear. If a smaller circle is placed such that it will be tangent internally to the big semi-circle and tangent externally to the two semi-circles, find the area (cm^2) enclosed by the biggest semi-circle but outside of the two semi-circles and the circle. Round off to three decimal places. Ans: 27.925

Q: SaX-とて use Gamma zax-X az -a How did he get the hypothesis?

A: To prove: 2ax-x2=a2-x-a2  

Q: 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 A = 1 1 13 0 0 1 0 5 B = 0 0 0 1 0 0 0 3 1 12 2 0 0 1 7 C = 0 0 0 0 1 ...

A:

Q: Which of the following show/s the Euler diagram/s for the argument below? "All runners are athletes....

A: We have to find the Euler diagram of given argument.

Q: Let A = What is (AT)3.2? 00 3. 3.

A:

Q: ber of linearly

A:

Q: Inverse laplace of  (2s-18)/(s2+9)

A:

Q: Find the area of the plane z = 4x + 3y for all (r, y) E R where R is the region in the first quadran...

A:

Q: dy Q1: - Find of the following functions dx x2 +3 b. y = (x-1)3+(x+1)3

A:

Q: 29 and s = 18 - 1 3 4 - 2 17 Let u = V = w = 3 4 60 s can be written as a linear combination of u,v ...

A:

Q: 1 3 2 Create the matrix of the graph above and answer the following questions (If there is no arrow ...

A: Given  we have given a graph and we have to create a matrix for graph and answer the following quest...

Q: Q1) Find the average value of the area Ander the curve (y=1-x).

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: USING GOOGLE COLAB 2. Given the system of linear combinations below, try to encode it as a matrix. A...

A: A=x1 +2x2+x3.........(1)4x2 -x3.........(2)10x3.......(3)

Q: If Y and Y are the first and last column vectors in the inverse of a [1 -1 2] matrix A = 0 3 2 then ...

A:

Q: irst and la= 2] 2 then X

A:

Q: 3. Distinguish between quasiconvexity and convexity.

A:

Q: -e-atp" dt =

A:

Q: Solve using the simplex algorithm. Maximize: 5x1 + 6x2 Subject to: x1 + 2x2 ≤ 8 3x1 + 2x2 ≤ 12 x1, x...

A:

Q: Consider the argument below: "If you complete your computer training, then you can be eligible to wo...

A:

Q: Find the solution of the homogeneous differential equation Y`=Y+X/X

A: find the solution of the homogenous differential equation Y'=y+xx simplify the equation y'=yx+xx⇒y'=...

Q: actor for the differential equation

A:

Q: 1. Consider the vectors [2, 1,0, 2), [3, 1, 0, 1), [1, 1,0, -1) in R. Decide whether they independen...

A:

Q: Which of the following are real vector spaces? The set of natural numbers N P6 (x) the set of all po...

A:

Q: child get? Express the answer as a mixed number in its simplest form. Share 6 cakes equally among 4 ...

A: Since you have asked multiple questions here, we will solve the first one for you. To get the soluti...

Q: Determining Whether a Set Is a Basis In Exercises 47–50, determine whether S is a basis for P3. 48. ...

A:

Q: With the growth of digital photography, a young entrepreneur is considening establishing a new busin...

A: Camera life in years = shutter life(weddings per year)(photos per wedding)   Shutter life = 108,000 ...

Q: 2. The system of equations log. (r? + y) – 1 +y = 0 Vỹ + ry = 0 %3D has a solution close to (r, y) =...

A: The given problem is to find the approximate solution for the given system of equations using newton...

Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x? Wha...

A:

Q: Represent f(x) = sinx as the sum of its Taylor series centered at 1/ 4

A: According to Taylor series expansion, an infinitely differentiable function can be expressed as the ...

Q: Show that the following functions are harmonic and determine the conjugate functions. 1. x= -3y +3x-...

A: Given: Let us consider the given function  1.u=x3-3xy2+3x2-3y2 2.u=3x2y-y3 Determine the functions t...

Q: Find the solution of exact differential equations Xy-1/x^2y. dx - 1/xy^2.dy3D0

A: The exact differential form of a differential equation is written as M·dx-N·dy=0 where ∂M∂y=∂N∂x.

Q: Testing for Linear Independence In Exercises 41-48, determine whether the set of vectors in P, is li...

A:

Q: Q2. The differential equation + p(x)y+ q(x)y² = r(x) is known as Riccati's equation. If one dy dx pa...

A:

Q: The electric current i (in mA) in the circuit i = 2.2(1- e0.4) where t is the time (in s). Evaluate ...

A:

Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of la...

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z) sub...

Q: What does y =

A: Given,      and y intercept is at (0, -0.2).

Q: 32 O Fnd grea insider=4aso out side r1-se in rst quarter- (2) Find area nside re2as6 out Side re I O...

A:

Q: How many uses TV only How many uses the Internet only How many use TV and Internet but not newspaper...

A:

Q: 0 1 2 4 0 2 4 0 0 3 9 12

A:

Q: 2. Consider the vectors [2, 1, 0, 0], [3, 1,0, 0], [0,0, 0, 1) in R". Find a vector v so that v, (2,...

A:

Q: Solve the equation for x, give EXACT answers, show all work! log2 I + log,(x – 3) = 2

A: According to the definition of the logarithm, if logax=y, then y=ax. the number a is called the base...

Q: Determine the second derivative of f (x) = x²e* at x = -2 with a step-size of h=0.50 using Central d...

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any sp...

Q: Linear Combinations In Exercises 1-4, write each vector as a linear combination of the vectors in S ...

A:

Q: Consider the convex optimization problem minimize ||x| xĘR? subject to 2xı+ x2 > a, where a is an ar...

A:

Q: Let f: X → Y and g : Y → Z be functions. (a) Show that if g of is one-to-one (or "injective"), then ...

A:

Q: 37. Let V be the set of all positive real numbers. Determine whether V is a vector space with the op...

A:

Q: 3x Complete the statement below to rewrite g (x) 2 in the form g () + k. h %3D a Then describe the g...

A: Let us consider the function f(x)=ax To transform the function f(x)=ax-h+k  First transform the fun...

Q: P(2,-2, 1), Q(3,-1,2) Q@z) If a) find the area of the triangle determined by the Points P,Q, R and R...

A:

Q: 8s2-4s+12 1. F(s) s3+4s

A: We have to find laplace inverse of given function.

Q: 6 If PL=114, RN=84, and OR= 153, find LM. Round answer to the nearest hundredth. M 88.32 B 69 ©62.59...

A:

Q: The solution of e = -has the form x + i (y + 2nn) where n is an integer. What is the value of x? Wha...

A: