4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e %3D 5. (x2 - 1) dy = ((1 + x)? - 2y) dx 6. ()y -- ;when x = 1, y = 1

Q: 3. Given the matrices 1 - 2 --8-0 1 1 1 X = V and c = 0 1 2 1 1 2 2 A = 0 1 1 B 1 0 1 premultiply…

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Q: Find the partial derivative of the given In[y? sec(x²y²)].

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Q: 5. Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the…

A: Given Water is running out of a conical funnel at the rate of 1000cu mm/sec radius (r) = 40mm height…

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Q: 2. xy' + (1 + x)y = ex sin 2x %3D

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Q: 2. Show that for any x, the matrix A = A² = I. 3. Given the matrices A = 1 22 1 2 ---0--0 1 1 B = 1…

A: What is Matrix: a collection of numbers lined up in rows and columns to form a rectangular array is…

Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

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Q: . Find the limit of lim y³+3y² +2y y-2 y²-y-6

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Q: Let R be the region bounded by the graphs of 2 G₁ ² ( x − 3 ) ² + x ² = ²/1² 4¹ (0, 0) and C₂: y=…

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Q: According to the U.S. Department of Justice, Office of Justice Programs, Bureau of Justice…

A: Given Data: n=40 n(female)=0.15*40=6 n(male)=0.85*40=34

Q: Problem 5: The components of a vertical force P are Q = 200 N and S as shown in Figure 1.7 - 5. 1.…

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A: The given problem is to set up the double integral in polar coordinates which gives the volume of…

Q: 2. Show that for any x, the matrix A = A² = I. [cos(2x) sin(2x) [sin(2x) - cos(2x)] satisfies the…

A: Here we have to show that for any x the matrix A=cos(2x)sin(2x)sin(2x)-cos(2x) satisfies the…

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: 2. A cylindrical plastic container with a radius of 15 cm is being filled with orange juice at a…

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Q: Exercise 5.2 Suppose that the probability of a successful optical alignment in the assembly of an…

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Q: DO NOT use a calculator to answer this question. Show ALL calculations. 3.1 Prove that : tan 480°.…

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Q: 5. Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other…

A: Given that the lengths of the rectangle are begin increased at the rate of 20 mm /sec. The other two…

Q: [1/2 -3 A =| Find sequence of elementary matrices whose product is 3/15

A: Please see the below picture for detailed solution.

Q: )y -=0 :when x = 1,y = 1 6.

A: