If matrix A is the following, find: 1 (a superscript matrix with an advanced element (not an advanced one)? 2 (a diagonal matrix)? 3) a matrix of scalar matrix form)? 4 (a matrix of reduced scalar form)?
Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3
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Q: Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.
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Q: y'tan x sin 2y = sin² x + cos² y.
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Q: 3. ) Use the PLU decomposition to solve the system for x x1 - x₂ = 3 x₁ + 2x₂ + x3 = -3 2x₁ + 3x2 +…
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A: Introduction: Definite matrix is significant in studying quadratic forms. Also, in Lyapunov…
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Q: Use Stokes' Theorem to evaluate the integral: [cur S curl F. dS F(x,y,z)=ze' i+xcos (y) j+xzsin (y)…
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Q: (b) 2π 62T ᏧᎾ 0 a + cos 0 C2T 10 where a > 1.
A: Given : ∫02πdθa+cosθ To Find: Integrate by Cauchy residue.
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Q: = 15. Define the vector space spanned by v₁ = (2.1.3) and v₂ 16. Show that the set (1,3,5).
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A: Given that fx=2sinx-cosx So, f'x=2cosx+sinxf''x=-2sinx+cosx Now, f0=2sin0-cos0=-1…
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A: Given x=rsinθ cosϕy=rsinθsinϕz=rcosθ To prove :∇2=1r2∂∂rr2∂∂r+1r2sinθ∂∂θsinθ∂∂θ+1r2sin2ϕ∂2∂ϕ2
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Q: 1. Five years after purchase, the auditor of a newspaper company estimates the value printing press…
A: Equation of a line passing through (t1, v1), (t2, v2) is v(t)=v2-v1t2-t1t-t1+v1
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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…
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Q: Estimate the instantaneous rate of change of f(x)=3x²+2x−1_at x = -1. a) ΔΕ Δε O b) ΔΕ Δε Ο c) Δε Δε…
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Q: -4 y=름 (x+3)2 3 -2 -1 4 3 2 1 。 -1 -2 -y=3 ↑ y=0 1 -y=큼(X-3)- 2 3 A
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Q: b Ell С pts] Explain how you know that W is a subspace of R¹. er W = a+b+5c = 0, b+2c=0, a +3c+d=0
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Q: 5. Recall that the Maclaurin series for e is 1 eª = 1+x+ x² + + 24 L = lim + 1 120 (a) Use this…
A: We use the formula coshx=ex+e-x2 and sinhx=ex-e-x2 Then we find required solution.
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Q: 2- Consider the matrices A = [₁²1], B = [₁ J₁ C=__=₁} K₁ = [50], K₂ = [₁²2] Solve AX + BY = K₁ CX +…
A: Given: The matrices are A=3211 ,B=0110,C=111-1, D=11-14,K1=5000 and K2=21102. To find: The matrixes…
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Q: Solve the IVP using the method of Laplace transforms 2y" +ty'-2y=10; y(0)=0, y'(0)=0
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Q: 35° 66° V
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Q: We are looking for a solution of this function : f ∶ R2 → R (x, y) → x2+ y2− 4x + 4 with…
A: Given, fx,y=x2+y2-4x+4gx,y=2x-y2-1 Now, fxx,y=2x-4fyx,y=2ygxx,y=2gyx,y=-2y Now, fxx,y=02x-4=0x=2…
Q: Use zero-through second order Taylor series expansions to predict f(x/5) for f(x)=2sin(x)-cos(x)…
A: Note:- Taylor series for a function fx about x=a is Tnx =fa + f'a x-a + f''ax-a22!+......+fnax-ann!…
Q: Question 4 Use Laplace transforms to solve the differential equation: d²x d1² Cos (21) + 4x=cos!…
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Q: 5y4 2) Let f(x, y) = x sin(2y) + . Find fyyyyyyyyyy (x, y) (10 partial derivatives), x explaining…
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Q: Let A = 1 2 1 1 -2-10 0 1 1 1 0 and b 2 3 1 4 Find the least-squares solution to Az = = 6. Enter the…
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Q: Let f: S¹→ S¹ be a homeomorphism. Prove that h(f) = 0
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Q: what is the Fourier transfrom of the following 0.5 d²x(t) j2nf dt2
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- 1st blank: 0.6267, 0.5006, 33, 0.7843 2nd blank: 1.44, 2.25, 1.15, 1.80 3rd blank: 0.7843, 0.6267, 0.5006, 0.4 4th blank: 2.25, 1.80, 1.15, 1.44 5th blank: larger or smaller 6th blank: 0.2689, 0.1293, 0.0145, 0.0378 7th blank: 0.0378, 0.1293, 0.0100, 0.2612 8th blank: flatter and more spread out or more like the z distributionThe market research department at a manufacturing plant determines that 30% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 40% of the people who do no purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product the next month and in 2 months.One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.
- A biologist has placed three strains of bacteria (denoted I, II, and III) in a test tube, where they will feed on three different food sources (A, B, and C). Each day 400 units of A, 500 units of B, and 600 units of C are placed in the test tube, and each bacterium consumes a certain number of units of each food per day, as sh own in Table . How many bacteria of each strain can coexist in the test tube and consume all of the foodA forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51Either deposit should be required on beer and soft drink containers, or these containers will be discarded along highways and the countryside will look like a dump. If these containers will be discarded either in parks or along highways, then deposits should be required on soft drink containers. Therefore, deposits should be required for soft drink containers. (B, S, H, C, P)
- Suppose u=⟨−4,4,−2⟩ and v=⟨4,−2,3⟩. Then u×v= v×u=A machine shop has an order for 12,000 pcs. of a machine part that requires anti-corrosive properties. Chromium steel alloy that cost Php 95.00/ kg or Nickel steel alloy that cost Php 85.00 /kg may be used. The weight per piece, production per day and tool bit replacement cost for Cr-alloy are: 0.25 kg, 75 pcs and Php 1,600 every 400 pcs. Produced. The respective date for Ni-alloy are 0.3 kg, 50 pcs. And Php 1,800.00 for every 300 pcs. produced. If the charge for the labor and other operating cost is Php 450.00/day with all other expenses being the same, determine which material should be used.To inspect the quality of the screens for mobile phones produced by Company X, two separate inspection devices are used to test the screens for defects. Basically, a specific screen is tested once using the two inspection devices. Device 1 can detect the presence of defects 99.3% of the time, whereas Device 2 can detect defects 99.7% of the time. Assume that the 2 devices are operating independently from each other. One day, four defective screens were sent for inspection. Let X represent the number of screens that will be correctly tagged as defective by Device 1, while Y represents the number of screens that will be correctly tagged as defective by Device 2. Are X and Y independent? explain
- Even though you have no symptoms, your doctor withes to test you for a raredisease that only 1 in 10,000 people of your age contract. The test is 98%accurate, which means that, if you have the disease, 98% of the times the testwill come out positive and 2% negative. Also, if you do not have the disease, the test will come out negative 96% of the time and positive 4% of the time. You take the test and it comes out positive. What is the probability that you have the disease?How is the hatching of water python eggs influenced by the temperature of the snake's nest? Researchers placed 104104 newly laid eggs in a hot environment, 5656 in a neutral environment, and 2727 in a cold environment. Hot duplicates the warmth provided by the mother python. Neutral and cold are cooler as when the mother is absent. The results: 7575 of the hot eggs hatched, along with 3838 of the neutral eggs and 1616 of the cold eggs.26 Make a two‑way table of "environment temperature" against "hatched or not." Fill in the values ?-?�-� in the answer boxes provided. Give your answers as whole numbers. Temperature Cold Neutral Hot Hatched ? ? ? Did not hatch ? ? ? ? =Here's a problem that was used as the basis of a television show to illustrate the difference between the way a human mind approaches such a problem and the brute-force approach of a computer that finds the solution by trying all possible 40,320 different arrangements of the digits. Place the digits from 1 though 8 in the eight circles shown in the diagram, but with this restriction: no two digits next to each other in serial order may go in circles that are connected by a direct line. (For example: if 2 is placed in the top circle, neither 1 nor 3 may be placed in any of the three circles in the horizontal row beneath it because each of these circles is connected to the top circle by a direct line.) There is only one solution.