Use separation of variable or homogeneous equation to get tye general solution for each differential equation 2) x²yy' = ev

Q: er limit of 1 and a lower limit of 0.

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent. n…

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Q: dx 3. S- 0 x* + 2x – 3

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Q: Given that Vf (7, -9) = 11 i – 6j, find the directional derivative of the function f at the point…

A: Given,           ∇f7,-9=11i-6j.            The function f at the point 7,-9 in the direction of…

Q: Consider the function Z = 2x2(1 - e ) where x and y are given to be 6 and ln 6 respectively. Find…

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Q: ²+6x +8 a. f(x) : x + 2

A: I am attaching image so that you understand each and every step.

Q: Substitute this expression for s(4) s(t) in the limit and simplify. lim t- 4 s(4) - s(t) 4 t lim t-4…

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Q: C Solve the following problems. 16. What value of k makes the function continuous at x= 3? Graph the…

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Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. Bx

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Q: Determine whether f(x) approaches * or -o as x approaches 2 from the left and from the right. f(x) =…

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Q: Does the sequence {an} converge or diverge? Explain. Find the limit if the sequence is convergent.…

A: Given query is to find the limit of the sequence.

Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Let a = ci + jand b = 9i + 36j. Find c so that a and b are orthogonal. %3D

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Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

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Q: 8 16 22 63 26 51 75 29 67 LIt rained 35 inches last year. This year, it rained 19 inches. How many…

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Q: x*-6x³+e* Vx dx

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Q: Which of the following nuclides would be most likely to undergo beta decay? 135 130 125 Sn le 120…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: fing the inverR se function of f informally Verify that fleT0) = x and = x+4 5

A: Let f(x) be a given function. Then it's inverse is denoted by f-1(x) such that f(f-1(x))=f-1(f(x))=x

Q: Send help, ma'am/sir please

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Q: 11.)y- 2y y y= 3 when x = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Which of the following parametric functions create this graph? -4- -2- -2 2 -2 -4. x (t) 4 cos(t)…

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Q: Find the vector component of v = (4, – 1, 7) along b = (3, 6, –6) and the vector component of v…

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Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Q: Find the constant a such that the function is continuous on the entire real line. x 2 1 f(x) = x-4,…

A: Find your answer below

Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 3].

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (13, 7, -5) Vw(13, 7, -5) =

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Q: x2- 1 If A = limx→1 х + 6x2 — 5 and B = limx¬c0 then х — 1 х4 + 6

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Q: (1.5)+(-2.3)+(-0.3)+(1.2) + (1,9)? Simplify o= (a) State the answer in square root form and (b)…

A: Given query is to simplify the expression.

Q: 1. Use the fundamental theorem of calculus part 1 to compute the derivative VI-t²dt. cos(z) dr

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Q: 2T 26. cos e de

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Here, the given vectors are P(-3,1,5), A(1,1,0) & B(-2,3,-4)

Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) (b)…

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Q: Find the derivative of the following functions from first principles. (i) x (ii) e* (iii) log (x+ 1)

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Q: ) frcos () ->]dx +: - y dx + xdy = 0 %3D

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Q: 2 (In x dx

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Q: 7x a) x2-x-42 b) f(x) = v2 – 3x -

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the eract answers in terms of i,j…

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Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+ 2t, y =…

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Q: Evaluate/Find the following integrals. 2 4. S2-3 3 -dy 1 У +у 2

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Q: Find an equation of the plane through (-4, 3, –8) that is perpendicular to the line x – 2 = t, y +3…

A: Given line : x-2=t , y+3=2t ,  z=-tx-21=t , y+32=t , z-1=tx-21= y+32= z-0-1 comparing with standard…

Q: For demand function d Q = a −bP and supply function s Q = dP − c , using Cramer’s rule determine…

A: For demand function d Q = a −bP and supply function s Q = dP − c  Using Cramer’srule determine…

Q: What is the length of the latus rectum of 4x2+ 9y2 + 8x – 32 = 0? A) 2.3 B) 2.5 2.7 D) 2.9

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Q: 5dz (z+4)Vz+1

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Q: 4. V21-4x-x² dx

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Q: (b) [ z0- r2 re dr

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