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Q: 6dz S(VE – )dt

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Q: Solve the following and show the complete solution 1. Find the equation of the plane through (-3, 8,…

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Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: 5. At a certain instant of time, the length of one leg of a right triangle is 10 cm and it is…

A: Rate

Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z…

A: To Find : Equation of plane passing through (-3,8,-8) that is perpendicular to the plane7x-y+z=2 and…

Q: Now, let f"(x) =0 and solve for x. Remember that f"(x) = - sin is a periodic function, and thus…

A: use the equation above for solving the equation for x.

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Find parametric equations of the line through (-1,0,3) that is parallel to 5i – 6j+k. x(t) y(t) =…

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Q: Let a ci + j and b = 12i + 16j. Find c so that the angle between a and b is . Round your answers to…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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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: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45 2.플 3n 5. 270" 3. - Sn 6. 330°

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (2, 3)…

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Q: r1–z p1 y2 Try to change the order of integration and rewrite the above integral as equivalent…

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Q: x² + y2 + z? = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the…

A: Let f(x,y,z)=x2+y2+z2-26

Q: Find an equation of the plane that is parallel to the plane x + 7y – 2z + 20 = 0 and contains the…

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Q: n: - 4.r? with f'(x) = (x+ 2)2 r(r+8)(r – 2) (x + 2)3 8(7.r – 4) - f(r) = and f"(x) = %3D %3D %3D…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

Q: (z*+2z)* Find dy/dx, given the following: y = /2r-4 (+2)* 3(3z*+2)(=*+2=)* V (2z-4) (+22)* (…

A: Here, y=x3+2x32x-4...(1)

Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: 5. Given the function as f(x,y)=\x² +y² then find the a) Rate of change of f at point P(1, ) in the…

A: This is a problem related to derivative of the function. Based on the general formula we will solve…

Q: y = x°, y = 256 , y axis , revolved at y axis 3.

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Q: Evaluate the integral. [TI/3 2 sin(0) + 2 sin(0) tan2(0) sec2(0) de Step 1 2 sin(0) + 2 sin(0)…

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Q: Find an equation of the plane that passes through the points (3, 3, 5), 2, 2, —1), аnd ( —5, 3, 4).…

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Q: Determine if the following statement is true or false. The points P1(12, 9, 9), P2(6, 3, 0), P3(0, –…

A: A detailed solution is given below

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = 2+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v…

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Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

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Q: x = -Jy from y = 1 to y = 4

A: The objective of the question is determine the area bounded by the given function.

Q: he table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing…

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Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: Given problem:- Determine the volume of the tetrahedron with vertices P(-4,4,0), Q(2,1,-3), R(1, 0,…

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

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Q: x³ + x? – 4 1. Consider the function f(x) 4.x = x +1+ x2 Note that 4 x² – 4 - x²(x² – 12) (x² – 4)²…

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Q: Jose must choose between two job offers. The first job pays $62,000 for the first year. Each year…

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Q: Find Duf at P. 2. f(x, y, z) = 4x³y°z²; P(1, –2, 1); u = i+ Duf = i

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Q: Given that arcsec e) + (x – y²)² = 2. (a) Find dy using implicit differentiation. dx dy using…

A: Given,            arcsecyx+x2-y232=2

Q: An object moves in a straight light according to the position function s(t) = 2te-t where s is in…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 10г — 5у — 52 — 36 — 0. NOTE:…

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Q: DIFFERENTIAL EQUATIONS Solve the following application problems. *show the every details of your…

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Q: X+3 Evalmating dx 5-4メ-メ2

A: We have to find the integral of given function.

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: e dxdy is e dydx. The reverse order of False O True O

A: The graph is shown below:

Q: Consider the following IVP: y'' -10y' +9y = 5t, y(0) = -1, y'(0) = 2

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Q: y² = x y = x³

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

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Q: Determine whether the series converges. Σ Vk+ 3 k=1 The series converges. The series diverges.

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Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24