1. Part of a security fence is built 2.5 m from a cylindrical storage tank whose diameter is 11.2 m. What is the area between the tank and this part of the fence if the central angle of the fence is 75.5°?

Q: 7. A researcher reviewing various cellular phone services surveyed 200 customers and asked each one ...

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Q: Write the formal negation of the following statement: Ve> 0, 3 y ER such that y > 0 and y < e.

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Q: Let c E R and suppose that an → a. Show that can → ca.

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Q: 1 plus 1 is equals to? and why?

A: Given: Determine and 1 plus 1 equals and its reason.

Q: a. b. E-2(x¡ + Yi) + £i=2Yi c. E-1(X; * Yi) + E-1cYi

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Q: 50

A: consider the figure as follows The total length BE is given as b Therefore BE=b cm BD=10 cm  BE=BD+...

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Q: A division has remainder 0. Which statement is true? a) The divisor and remainder are factors of the...

A: Given: A division has remainder 0. To check: Which of the following statement is true. a) The diviso...

Q: Let f(z) Then the Laurent expansion of f (z) around z = 0 with |z| > 3 is: z(z-3) a ) Σ . 3n b) E zn...

A: Given fz=1zz-3

Q: λ3 -3aλ2 +3a2λ - a3

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Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim f(3x2+6...

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Q: E. Solve tne differential Equotions ☺ Czxy + xln3x)dy + .(xtyJ dx =0 when x =3, y=2

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Q: (Bounded Linear extension theorem Let theanor medspace and i its Banach completionniff is abound ed ...

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Q: 5. The graph of f(x, y) is shown to the right: Draw the following two cross sections and label the a...

A: (a) slicing the surface parallel to x-z plane at y=0. (red line) So for f(x,0)

Q: There were 30 dogs in a dog show, and 50% of these were Siberian huskies. 20% of the Siberian huskie...

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Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2). ...

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to 4,3...

Q: Show that the column vectors of following matrix A are linearly independent: [1 0 07 A = 6 2 1 4 3 2

A: We have to show that the columns of the matrix A are linearly independent. For this, first we will f...

Q: Consider the set X E R? defined by the system of inequalities X = {R² : -x1+ x2 0, x2 > 0}. (a) In ...

A: (a) We have the set, X={ℝ2 : -x1+x2≤2, x1+x2≤5, 2x1+x2≤4, x1≥0, x2≥0}The set is represented in the c...

Q: 0 -1 1 2 -1 A = -1

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Q: Find the general solution of the following hom 3. (9D² – 6D + 1) y = 0

A: Solution :- we can solve one question at a time . so, we solve the 1st one  The given differential e...

Q: rvdxdy ( R nd x 2 0, y 2

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Q: 1)Determine whether the following function is one-to-one: f = {(1,2), (3, 4), (5, 6), (8, 6), (10, ...

A: Let us consider a function f then the function is said to be one-one if every element of the functio...

Q: Special Scenarios: Find the solution to the following systems of equations: x = y + 1 2x - 2y =- 1 5...

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Q: Ronald McDonald, a fast-food worker, earns $11.50 per hour. He typically works 36.25 hours per week....

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Q: Determine the area of the region bounded by y = 2x² + 10and y = 4x + 16. %3D

A: According to the definition if dfdx=F(x), then ∫F(x)dx=f(x). Geometrically the definite integral ∫ab...

Q: | 1 (a) Simplify Vxy" ÷ VFy6 „8.10 giving your answer in the form x°y, where a and b are integers. (...

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Q: 2. The function R(x) = -1.07x2 + (K + 12.3)x – 116 shows the relation between the revenue (R) and nu...

A: Given: The function R(x)=-1.07x2+K+12.3x-116 shows relation between the revenue(R) and number of sol...

Q: Compare the Bisection Method with the Regula-Falsi Method. What are the strengths and weaknesses of ...

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Q: Solve the differential Egueations Zydx - (3xy*dx- xdy =0 When

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Q: 5. Solve the following and show all solution steps Note: m=7 n=8 Use the synthetic division to find ...

A: To use the synthetic division to find the result and remainder of dividing the polynomial. 

Q: 2) In your own words, explain when you need to use the chain rule. Demonstrate with an example.

A: The chain rule is used to find the derivative of the composition of two functions .

Q: Note: F=3 K=8 (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. (K+2)

A: Given: F+2y+F-12x+2zK+2=4z+7, where F=3 and K=8. To sketch: Graph of a given linear function.

Q: Prove that if ACØ then A = (Ø.

A: To prove the given statement. 

Q: For items 1-10, consider the following: The members of Math Club are to choos among four candidates,...

A: # we are entitled to solve three subparts at a time please resubmit the other parts if you wish to g...

Q: Example 2 Find the inverse transform of each of the following. 6s – 5 (a) F (s) s2 +7

A: The Laplace transform of a function is defined as F(s)=∫0∞e-stf(t)dt. If F(s) is the Laplace transfo...

Q: Let A = {5,6, 7}. What is P(A)? Do not merely describe the set, but rather write down all the elemen...

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: Find the three Sylow 2-subgroups of D12 using its subgroup lattice below.

A: Given: Using D12's subgroup lattice below, determine the three Sylow 2-subgroups. 

Q: 6. Let the universal set U = {x | x is a non-negative integer}. Let A = {r EU | x is divisible by 6}...

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Q: a. Find the solution by graphing. b. Check if the point (F-16, F+4) is a solution for the system.

A: This is a problem of linear inequality, system of equations.

Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: Compute the solution of the IVP Sz(t) = (sin f)z(t) + sin t, l-(4) = 1, using the method for linear ...

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Q: In(x*) = 0.70 . Find one real root of five iterations of the Bisection Method on using the interval ...

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Q: the phrase into a variable expression. Use the riable. If necessary, use the asterisk (*) for multip...

A: Given, The statement is- The product of 40 and distance to the finish line..... This statement is co...

Q: (x – a)² +y² = a²

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Q: Is the series E Tomi sin (nx) a Fourier series? 1 log (n) n=2

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Q: Circles with center on the line y = -x and passing through the origin. Ans. (x²-2xy-y)dx + (x²+2xy-y...

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Q: Give one example of assumed truth in mathematics that is not true in general. Then express this math...

A: Given: Give an example of a mathematical assumption that isn't true in general. Then, using categori...

Q: . Let A- ( 7) B-(: :) and B = %3D 3 For what values of t is 2A+B invertible?

A: The inverse of a matrix A is defined as the matrix A-1, that satisfies the condition AA-1=A-1A=I. If...

Q: d eigenvectors. Write down the ing modal matrix M and confirm that J, where J is the appropriate Jor...

A: