Find div F and curl F if F(x, y, z) = 7e*i – 6 cos yj+ 6 sin? z k. div F= curl F=

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A: Directional derivative of a function f(x,y) at a point P(a,b) in the direction of the vector v=ai+bj…

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A: Solution: ∯∂∂x6xy -∂∂y3xydxdy   (By green's theorem)

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Q: 6 + (-3) + 0 + ..+ 411 = 97 (a* + 5) - 0 k = 1

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A: We will use ratio test to find radius of convergence.

Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x? cos(x) (Use…

A: The given function,      fx=7x2cosx

Q: Find div F and curl F if F(x, y, z) = x°i – 2j + yzk. div F= curl F=

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Q: Evaluate the line integral, where C is the given space curve. xyeY dy, C: x = 3t, y = 2t, z 4t,…

A: Here we have to find line integral.

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A: Given query is to setup the integral for area .

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Q: E. Find the point of intersection of the plane 2x+3y+z 5 and the line x- 3 y+4 z- 1 1 II

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 6x from (6,6) to (0,0). NOTE: Enter…

A: We need to evaluate the following line integral ∫C-ydx+xdy Where,  C: y2 = 6x  from 6, 6 to 0, 0

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Q: 5. Use the Second Fundamental Theorem of Calculus to find F'(x). х 1 F(x) = S* dt.

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Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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Q: Find the accumulated amount if AED 6,000 is deposited at 2.5% compounded semi-annually for 5 years.…

A: Given query is to find the amount accumulated.

Q: Consider the function f(x): - 4x + 6x - 8. f(x) has a critical point at x A. Find the value of A: A…

A: For critical points ofa function we first find the derivative of the function and equate it to zero.

Q: Find V. (V × F), if F(x, y, z) = e²i+ 3xe"j – 7ev*k. - V · (V × F)

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Q: -6w + x + 3y + 6z = -6 -7w - x – 9y – 2z = -33 -4w – 9x + 8y + 9z = -94 -w – 6x – 10y + 9z = -202…

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Q: 2Tan 'x - x 9. lim,0 'x0 2x – Sin 'x

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Q: find area OPShaded Pegion ニ 16x

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Q: 2" 5n+1 n=1

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Q: Help Homer design a cylindrical silo to hold the output from his pet pig Harry Plopper. The silo…

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Q: Determine the derivative of у. /20x+6 y = ev y =

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Q: A conical tank with a diameter of 2 m across the top and 3 m high is filled with water. Find the…

A: The given problem is solved below in detail.

Q: 86. If f'(x) > 0 for all real numbers x and s(1) đt = 0, which of the following could be a table of…

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Q: Find the first derivative, show all your work i(x)=2^{-0.8x+35.032}

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Q: x+1 dx

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

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Q: Find the curvature of the plane curve y = -t at the point t = 2. к(2) -

A: Given:y = -t4differentiating with respect to t, we get:            y' =     d(-t4)dt…

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A: Find your answer below

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Q: Find div F and curl F if F(x, Y, z) = xz°i+ 2y°x²j+ 2z²yk. 6 div F= curl F =

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Q: 7. Determine the following general antiderivatives. cos (x) dx -dx sin(x) а. - b. 10 sin(x)cos(x) dx…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

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Q: Sketch the region R of integration and switch the order of integration. P(x, y) dy dx F(x, y) dy dx…

A: Given: I=∫-22∫x24fx,ydydx The region bounded by the curves y=x2, y=4 from x=-2 to x=2 is shown…

Q: Find the area of the shaded region. y = -x3 + x2 + 16x and y = 4x %3D 30 254 20 IS 104 y 4x 20 25 30…

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