Solve the following first order DE: dy x+3x² dx y² a) 2 b) y'+=y= X ‚ then find that solution for which y = 6 when x = 0. sin 3x x²

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Q: 1-16 Evaluate the line integral, where C is the given curve. 1. fcyds, C: x= t², y = 2t, 0≤ t ≤3

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A: We know that the formula projection of A on B is  (A.B)/|B|

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A: fx,y,z=x3y3+z3  and x=s4,y=st2,z=s4t

Q: Question 10 Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: The given values are: m=6        and        n=1v=-4, 7

Q: PROVE OR DISPROVE THE FOLLOWINCT: (SHOW FULL SOLUTION) 44 dx4 ((x ²³²= 1) inx) = 6 (x³71) x4

A: We have to proof that given expression. We know that  d/dx{f(x)×g(x)}=f(x)g'(x)+g(x)f'(x)

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Q: 15. lim x-0 17. lim t->0 19. lim x-0 √1 + 2x 5¹ - 3¹ t et 1 2 x² X X √1 4x

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Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: (b) Use the function to find T(30,000). $ (c) Find the tax due on a taxable income of $120,000.

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

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A: Use the separated the variable

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Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: (x² + x)ex³+³x dx

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Q: 7. Use the convolution theorem to find the inverse Laplace transforms of: 1 (a) F'(s) = (²+9)2 1 (b)…

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Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

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

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Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

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Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

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Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: 1. lim 1-2x - 3x² 1+x X→-1 2. lim X-2 3. lim √5+y-√5 y-0 y

A: Given: limx→-11-2x-3x21+x First, simplify the expression -3x2+2x-11+x: Factor the numerator:…

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Q: Given f(x)= ((n+1)(n+2)(n+3)....(n+2023))^(1/2023) then find lim n approaches to infinity f(x)(means…

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Q: Consider the following vector function. r(t) = ( 26, 12², 1²) (a) Find the unit tangent and unit…

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Q: (d) Use the quadratic model to predict the 2035 expenditures for national health care. (Round your…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

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Q: 4. Show that det(AB) = det(A)det(B) for A ===[₂]

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Q: The cost to ship a package overnight is $14.40 for the first pound and $3.90 for each additional…

A: Given :-f(x)=14.40 , 0<x≤118.30 , 1<x≤222.20 , 2<x≤3 To find :- The limit as x→2

Q: O O O O Find a quadratic model for the sequence. -4,-4, -3, -1, 2 y = 0,5x2-0.5x - 4 y = 0,5x21.5x -…

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

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Q: The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the…

A: Consumer expenditure is given by÷ E=9000p-145p2

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Q: Using row operations, find the inverse of this matrix. 1 -2 -61 [6] 01 5 001

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A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: What are the polar coordinates of the rectangular coordinates (-√3, 1)? (4, 11) (2, 11) (4, 5) (2,5)

A: NOTE: Refresh your page if you can't see any equations. . the given rectangular coordinate is, .…

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Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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