Determine the vactor feld of F. F(z, y) = yi - j

Q: X+3 Q4) Find the integration by using: J: dx 2x3-8X

A: This question is based on indefinite integral.

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A: Given query is to find the value of the indicated expression.

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x)…

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Q: dx ²+8x-9

A: Given: ∫dxx2+8x−9 Let I = ∫dxx2+8x−9 ⇒I = ∫dxx2+9x-x−9

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Q: Find ▼ × (V × F) if F(x, y, z) = 6xyj+xyz k. V × (V × F) =

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Q: 6. Find equations of the tangent line and the normal line to the curve y = 1+ x2 at the point (1,)…

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Q: Find r'(t). r(t) = (tan-(11t))i+t cos(t)j – Vtk | NOTE: Enter your answer in terms of i, j, and k.…

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Q: cos2x dx sinx

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A: Given : f(x)=xx2+1   To Show: f'(x)=1-x22x(x2+1)3

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

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Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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A: Integral

Q: : Consider the differential equation xy" + 3xy – 3y = 3x2 – 2x. %3D = x -3 (a) Verify that y1 = x…

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Q: 3. a) Determine the slope of the function, h(x) = 4sinx at x =". b) Find the slope of the line that…

A: We can solve as follows

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

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Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is…

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Q: dy (ay +3+x+3y) y(2) = 0 da 4(y+1) In x2+6x -12 a. y = + C O b. None of the choices is correct.…

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Q: Зx* у + tan y dy Given a first order differential equation dx Q3 x' +xsec? (a) Clarify the exactness…

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Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). 13 9ts r(t) = e"i+etj K(t) :

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Q: Consider the following. w = xyz, x = s + 5t, y = s – 5t, z = st? (a) Find dw/s and dw/at by using…

A: Using chain rule and converting function in term of s and t are differentiated.

Q: If z = 52? – 3y? + 4y, find the differential dz. You should have variables dz, dy, y, and z in your…

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Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

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Q: Determine the vector field of F. F(1, y) = 9i – 3j

A: kindly attached following graph.

Q: B.Verify if the relation 1. y =xe* is a solution to y"-2y'ty=0 3X 2. y = e?%cos (2x)is a solution to…

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Q: S (1/(X(Im)*) dx X(Inx)

A: LetI=∫1xlnx2dxLet u=ln(x)differentiate 1xdx=duI=∫1xlnx2dx.I=∫1u2du.I=∫u-2duUse power…

Q: Find r'(t). r(t) = (tan-(11t))i+t cos(t)j – Vik

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Q: 13 of 20 limz→-6 746 a+6 Does not exist 8.

A: Let's find.

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A: We have to integrate and have to check the answer

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Q: Find the general solution separable equathon. t) 2casx cosy dx-3 sinx sinydy = 0 o the given…

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

Q: Evaluate the definite integral. 1+eJ+/k]di i-ej+ k o ? - 1 1 + (-" – 1) j + k e-1)1- (e - 1) J+ k o…

A: Given: I=∫01e9ti+e-tj+tkdt As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫eax+bdx=1aeax+b+C

Q: 1. Let -7 3 -3 2 C = 4 A = B = -3 -3 Determine which (if any) of the following matrices are well…

A: The solution is given in the nwxt step.

Q: (D2 – 1)y = 2e-*(1+e-2*)-2, %3D

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Q: e the formula k(t) = F(t) × r"(t)|| to find k(t) r(t) = t’i+ t°j

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Q: +4x –1 dx x' - x 2.

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: your

A: Please refer to the image below

Q: X+3 Q4) Find the integration by using: dx J 2x3-8X

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Q: xp - )s ɛ

A: As per the guidelines I can solve only first question