4. (8 points) Find a vector parametrization for the intersection of the plane x +y+z = 3 and the cylinder x² + 22 = 25.

Q: y = x + C,e* + C2e¬* y = x² + Ce2* + Cze3*

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A: Given:- It is known that the population of a certain country at time t is proportional to the people...

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Q: 5. (D² – 4D + 4)y = 12x + 2e3*

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Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: Given: cos 0 e is in QI. What is the value of cos 260? 4 6. o 1 3 O 4 6. 6.

A: We have to find value of cos(2theta).  

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Q: 4. (x + Vy? + 1)dx-(y y-: dy = 0 Vy2+1, %3D

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Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: Which angles have the same sine value? and 3. O T and 3 3 o 4T and 3 - 3 and 3 3

A: As we know that from the trigonometric identities; 1). sinπ+x=-sinx2). sinπ-x=sinx   And 3). sinπ3=3...

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Q: The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing (in mm/s...

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Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

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Q: -axis. 5. Evaluate dV, where E is the solid tetrahedron with vertices at (0,0, 0), (2, 0, 0), (0,2,0...

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: Evaluate / 9 +2. 3" dæ. 3" –1

A: We can evaluate the integral as below.

Q: Find the average value on the interval 3, 6 of the function whose graph appears below. average value...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves f(x)=x2+8f(x)=x2...

A: Given problem:- Find the volume of the solid obtained by rotating the region enclosed by the curves ...

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Q: the standar form of the equation of the hyperbola with the given characteristic Foci: (0, 19); asymp...

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Q: fo-Vin° e+2 ln² e+ln@ de

A: Here we have to solve the given Integral.

Q: noitutitaduz ontemonoghtanie sin' x dxsldsinsvlenigito adi to amal cos x

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Note:- this is multiple sub parts question and according to our comapny law we can do maximum 3 ques...

Q: Express the function below in rectangular form, (-1+i)-1+i

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: 3. (D³ + 2D² + D + 2)y = 0

A: The given differential equation is; (D3+2D2+D+2)y=0  

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Q: I = (4xy' + (y')²)dx

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Q: 1. Evaluate xy² dA, where D = {(x, y) | sin a < y < 1/2,0 <a< 7/6}. %3D

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Q: 3cot 3t csc2 3tdt 4+3cot 3t'

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Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

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Q: The initial and terminal points of a vector are given. Write the vector as a linear combination of t...

A: Initial point A=(3,6)Terminal point (-2,-8)let a and b are position vector of point A and B, Then a=...

Q: y = Ce* + C2xe*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

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Q: If it diverges, enter DNE.

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Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at w...

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Q: solve with Laplace transform with x(0)=0

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

Q: variance of the data 2,4,5,6,8,17 is 23.33 ,(2 :then variance of 4,8,10,12,16,34 will be

A: Result: If the variance of a data set a1,a2,...,an is σ12 then the variance of data set ka1,ka2,...,...

Q: -X olx *2+2x+.

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Q: Find the area of the triangle to the nearest tenth squ. a = 3 ft, b = 4 ft, c= 5 ft O 3.5 ft? O 150....

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