If H is a Hilbert space and SCH, show that S = S¹¹¹. When S is the same as S++ ? Justify.

Q: Solve the given initial-value problem. y(x) = y" + 36y = 0, y(0) = 4, y'(0) = −4

A: Given initial value problem  y'' +36 y = 0 , y(0) = 4 , y'(0)= -4 .  The general solution of linear…

Q: singular value decomposition of a matrix -0.5 0.5 0.5 -0.5] [10 0.5 0.5 0.5 0.5 0 -0.5 -0.5 0.5 0.5…

A: with the help of svd we find matrix A  then we find its norm

Q: Given the following matrices: ---- 5 -2 A = ,B= 1 3 -4 -2 0 (a) Calculate the product AB. (b) Find…

A: Answer

Q: Hurricane Ian has broken many records one is the amount of rain fall. Ian dumped 2.4feet of rain in…

A: Hurricane Ian has broken many records one is the amount of rain fall. Ian dumped 2.4feet of rain in…

Q: #20] Show that the subsets of the plane ( = {cx₁y) √ 2 < x ³² + y ² <≤ 4} ane of

A: Solution:- Given set    C={(x,y)| 2&lt;x^2+y^2&lt;4 }  We have to show this is open

Q: For the following relations on the set of POSITIVE integers, determine if it satisfies each of the…

A: Relation is defined on positive integer m~n &lt;=&gt; 19 divide m-n  Since m-m=0 and 19 divide 0 so…

Q: 10. Evaluate fc zdz, where (a) C is the circle |z| = 2 traversed once counterclockwise; (b) C is the…

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Q: Write an equation for the line graphed below y = 6 5. 157 43 2 1. -6 -5 -4 -3 -2 -1 -1 -27 -B -4 -5-…

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Q: Task 4: Let A = 1 0 0 0 3 1 03 09 302, 1 2 -5 Find an invertible matrix T and a diagonal matrix D…

A: It is the given question

Q: of If the function f(x,y) is continuous near the point (a,b), then at least one solution of the…

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Q: Suppose f(x) = ∞ 2.9 5" n! (x − 3) n To determine f(2.9) to within 0.0001, it will be necessary to…

A: Given Data: Let us consider the given data, fx=∑n=0∞5nn!x-3n

Q: (a) In C, we have f "(x) &lt; 0 for all x . (b) In A, f "(x) goes from+ to-. (c) In B, we have f…

A: These statements refer to the second derivative of a function f(x) and describe how the function is…

Q: Determine whether r(t) = (5 sin t, -12 sin t, 13 cos t) lies on the surface of a sphere and show how…

A: a) For the given vector valued function r(t)=&lt;5sint,-12sint,13cost&gt; To check the parametric…

Q: Write each of the functions in the form Aeat cos ßt+iBeat sin ßt, where a, B, A, and B are real…

A: Recall some formula:-  (1) ex+y=exey   (2)( et)m= emt (3) eit= cos(t)+i sin(t) , Euler identity (3)…

Q: f(x, y) = ez-2²-10-² Find and classify all critical points of the function. If there are more blanks…

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Q: A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed…

A: (a) To find: The cost function. Given information: The fixed cost is $500,000 and variable cost is…

Q: 1.64 The following questions provide an easy, alternative proof of the Bolzano- Weierstrass Theorem.…

A: Since you have asked multiple questions, we will solve the Question Q a (i) and (ii) for you. If you…

Q: Use the graph of f'(x) to discuss the graph of y = f(x). Organize your conclusions in a table and…

A: We know that graph of f(x) increasing if f'(x) &gt;0 and graph of decreasing if f'(x) &lt;0 .

Q: A family wants to have a $150,000 college fund for their children at the end of 20 years. What…

A: Given that future value  FV=$ 150,000 Interest rate r=7.6%=7.6100=0.076Compounded quarterly m=4…

Q: Of 100 students, 22 can speak French, 14 can speak German, and 4 can speak both French and German.…

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Q: If A is a 8x6 matrix and A+B=A, what do you know about B? Choose the correct answer below and fill…

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Q: Use the formal definition of the limit to prove the statement rigorously.

A: To Prove: By formal definition of limits that limx→1x3=1.

Q: Q4: Exp(-6y(x-2)-3³ + 2y'(x − 2)-²)=-4(x-1) + x²

A:

Q: 4. Express the following integral in spherical coordinates S² Sº √√4-2²-2² f(x, y, z) dx dz dy

A: The given problem is to express the given following integral in the spherical coordinates. We have…

Q: (c) (P) Let Z= {g € G | ga ZG and that G/Z ≈ I(G). = ag, for all a G}. Prove that 20:4040097 0:10409…

A: As you asked multiple questions, according to the rule I have to solve the first one only, please…

Q: Calculate ffs f(x, y, z) dS For x² + y² = 4, 0≤ z ≤ 4; Is f(x, y, z) ds = k f(x, y, z)= ez

A: We can find surface integral.

Q: Q#14b). A point 'P' is located 8 m away from the edge of a circle as shown here. The length of the…

A: Given , a point 'P' is loacted 8m aways from the edge of the circle i.e lenght of SP is 8m and the…

Q: 1. A major supermarket chain has decided to sub-contract production of ready-to-eat sandwiches to…

A: The given amount of required ingredients for the three types of sandwiches are as follows…

Q: 24.) Describe the graph of each function by computing. sets and sections. f: IR³ →IR, (x, y, z) xy +…

A: Given: A function defined as f:R3→R , x , y, z→xy+z2 To Find: Describe the graph of each function by…

Q: A particular solution of x²y" - 2y = 3x²-1, t>0, y₁(x)=x², v₂(x)=x-¹

A: Given differential equation x2y''-2y=3x2-1    ,   y1x=x2  , y2x=x-1 =1xdibided by x2 on both sides…

Q: Let F be the function whose graph is shown below. Evaluate each of the following. Note: Input DNE,…

A: I have explained everything with in the solution .please go through that.

Q: The logistic equation models the growth of a population. Use the equation to (a) find the value of…

A: Given : Solution of logistic differential equation that has the solution Pt=21001+29e-0.75t To Find…

Q: Apply Euler's method twice to approximate the solution to the initial value problem on the interval…

A: Given: y'=y+x-3, y0=1, yx=2-x-ex. To find: The Euler approximation when h=0.25 of y12. The Euler…

Q: True or false: if U is a plane through the origin in R³ then the orthogonal complement U+ (with…

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Q: Factor the given factor from the expression. 1 5 5 X;X -X 2 1 5 5 2 1 5 X ...... -x³ =0 (Type your…

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Q: Consider the following function. =√x-5 f(x): Find each value. (If an answer does not exist, enter…

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Q: lim f(x) X x →∞0 lim f(x) X→-80 = || =

A: I have explained everything with in the solution .please go through that.

Q: Plug-in electric vehicles and plug-in hybrid electric vehicles are referred to as PEVs. Using data…

A: we need to find year in which percent of PEV sales projected to equal 8.2% of total vehicle sales.

Q: whats 2+3

A: '+'  is the symbol of addition. That means we have to add the given numbers

Q: The graph y-f (x) is shown below. Sketch the derivative of f(in other words sketch /(x)). When…

A: To draw the graph for f'(x) for given graph of f(x). For this we locate the local maxima and minima…

Q: ∃x ∈ D such that ∀y ∈ E, x + y = 1 Negation:

A: We need to find the negation of  ∃x ∈ D such that ∀y ∈ E, x + y=1

Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

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Q: The total daily cost (in dollars) of producing x park benches is given by C(x) = 2250 + 10x +0.1x²…

A: I have explained everything with in the solution .please go through that.

Q: Perform the following congruence computations. Make sure that the number you enter is > 0 and ≤ N-1,…

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Q: 12. Use zero through third order Taylor Series Expansion to predict f(3) for f(x) = 25x³-6x² + 7x 88…

A: Taylor series of third order of f(x) about base point zero is       f(x) ≈ f(0) + xf'(0) +…

Q: Consider the four-player game with the followingcharacteristic function:v({1, 2, 3}) v({1, 2, 4})…

A: To show that the game has an empty core, we need to demonstrate that there is no coalition worth…

Q: 15.25 = 5(7.5) (7320) 4 > ૪૫ (2000) (T)

A:

Q: d. Set up a definite integral whose value is the exact volume of the solid of revolution generated…

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Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

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Q: Use rational exponents to simplify the following radical, then convert back to radical notation.…

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