Find the equation of the plane that passes through the point (10, -8, 5) and contains the line y-2 given by -1 X = N/+

Q: Find the Jacobian of the transformation = 6u +3v, y=u² - 7v Question Help: Video Calculator

A: We need to find the Jacobian of the transformation x=-6u+3v, =u^2-7v

Q: Find an equation for the ellipse whose vertices are at (-1,0) and (-1,6), and focus is at (-1,5).…

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Q: e [xy¹ xy¹ ds where C' is the right half of the circle x² + y² = 9 Evaluate

A: We have to evaluate the integral. To evaluate integral first we will parametrize it and then…

Q: 56. Directrix: y = -3

A: To find the standard equation of the parabola with vertex at the origin  and having directrix y=-3.…

Q: efi Consider the vector field F = Evaluate F(t) = t²i+t³j, 0≤ t ≤3 F. dr along the curve C:

A: To solve the following integral for 0<t<3.

Q: Evaluate the integral, [9. 9xe ²x²+6dx

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Q: Find the curl of the vector field F = (5y cos(x), 6x sin(y)) curl F =

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Q: f(x) = 3+x² 0> x — 0 2

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Q: Find the derivative in problems 1-16. 1. y = tan 2x 9. y = x tan x 13 W = sin A tan 2A 4. y = 9 cot…

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Q: Evaliate each definite integral to three significant digits. Check some by calculator. x² dx 2.

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Q: owing rung f(x)-5-x-81 (a) Find the critical numbers of f. (Enter your answers as a comma-separated…

A: f(x)=5-|x-8| derivate and equate to zero equate to zero No solution at x = 8

Q: Compute the flux of the vector field (x², – xy³), out of the rectangle with vertices (0,0), (1,0),…

A: If C is a simple connected piecewise smooth curve which enclose the region R then the flux of the…

Q: 8. Find the vector and scalar form of the plane passing through Po= (1, 2, 3) and n = (-1, 3,2).

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Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

A: We will solve this question by substituting the value of 3x.

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given differential equation dRdt = 114t4R( 1 ) = 35

Q: In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase.…

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Q: Evaluate y ds, C: z = t², y = t, 0≤t≤7

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Q: 11. The global maximum value M of the function f: RR given by f(x) A M does not exist BM>1 CM <1 D…

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Q: Determine whether the following series are convergent or divergent. 1. (-)" 2.-1 ²5 100 (Yukarıda…

A: 1.∑n=1∞nn+6n Since limn→∞an=limn→∞nn+6n=e-6 ≠0 So by using limit comparison test given series is…

Q: Find √ √ [V³ [V** ry sin(x² + y²) dzdy

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Q: Find the values of x, y and z that correspond to the critical point of the function: Z= = f(x, y) =…

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Q: Find SS₁ -dA, R= [0, 1] x [ - 3,3] xy² x² +1 R

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Q: Use the gradient to find the directional derivative of the function at P in the direction of Q.…

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Q: Evaluate the partial derivative gu (3, 2) for g(u, v) = u ln(3u + 2v).

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Q: Use the partial fractions method to express the function as a power series (centered at x = 0) and…

A: We need to use the partial fraction method to express the function as a power series centered at x=0…

Q: Find the coefficients of (2-1), (2-1) and (-1)² of the Taylor series of f(x)= x² +42 +5 about c= 1…

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Q: Suppose that f(x, y) = e²/9 at which {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Then the double integral of…

A: We have to evaluate the double integral.

Q: 8) [x(x+2)³dx

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Q: 9. An inductance of 1 henry and a resistance of 2 ohms are connected in series with battery of…

A: We have to find time when the current measure 0.5 A.

Q: 4. Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder…

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Q: 7-9 (L) Determine the coordinates of the intersection point S between straight line AB and the arc…

A: The endpoints of the line: A(N1000, E1100) and B(N2000, E500). Coordinates of centerO(N1000,E1600),…

Q: 3. Consider the vectors [1,2,3] and [-1,4,8]

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Q: Use a parameterization to find the flux Fondo of F = z²i+xj-2zk in the outward S direction (normal…

A: To solve the following

Q: Find 1₁ (3x + 5y)dA where R is the parallelogram with vertices (0,0), (-3,3), (5,-4), and (2,-1). R…

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Q: The advertisements boast that 30% of the cereal in each box is raisins. If the box contains 2 cups…

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Q: Find the critical point of the function f(x, y) = − 5 + 2x + 7x² + 7y + 3y²

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Q: 1. Sketch the region enclosed by the given curves and: y = x, y = x² - 2x Graph the bounded region.…

A: We need to plot and calculate the area between the given curves: y=x and y=x2-2x

Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and x +…

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Q: Express the follow situation as a vector in component form: a. A boat is traveling at a bearing of…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Use the given graph of a function to answer the following. Assume the graph continues at both ends…

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Q: Evaluate f ry³dx + zdy, where C is the rectangle with vertices (0,0), (4,0), (4,2), and (0,2) C

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Q: Evaluate [yds, C: x = t², y = t₁ - 2≤t≤2

A: To evaluate ∫C y ds, C: x=t2, y=t, -2≤t≤2.

Q: Use an appropriate linear approximation to estimate (0.999)5. (Round your answer to three decimal…

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Q: Find the Jacobian of the transformation * = 4u4v, yu² + 2v

A: The given x=4u-4v ,y=u2+2v

Q: Iodine-125 decays at a regular and consistent exponential rate. The half-life of Iodine-125 is…

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Q: 6 Find the local Minimum and Maximom Values and Saddle 1 + (x₁92 = 22²¹ +p² +8x-6p 120 points

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Q: Evaluate r(g(t)) using the Chain Rule: r(t) = (et, est, 5), g(t) = 4t — 7 dt r(g(t)) = (4e ^ ( 4t -…

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Q: f(x, y, z)= yz sin x + 2zy², w = ey² + x² u² y = uv, z = sin u V (a) Calculate the following partial…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the divergence of the vector field F = div F =

A: Divergence of a vector field F = { Fx , Fy }  is given as  div F = ∂Fx∂x + ∂Fy∂y

Q: 6. Consider the vector field F(x, y, z) =el ỉ tzel t e²) +ye² k. Find a potential function G(x, y,…

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