Find the extrema for F(x) = x*/x+1 on the interval [-l]

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.

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Q: Find V. (V x F), if F(x, y, z) = 6e"²i+ 2xe³j – 3ek. - V·(V × F) =

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Q: 3 Find the area of the region bounded by the following:

A: Given r^2=2cos(2θ) , r=1

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Q: Consider the following vector field. F(x, y, z) = xy²z²1 + x²yz²j + x?y²zk (a) Find the curl of the…

A: div F = i∂∂x+j∂∂y+k∂∂zF(x,y,z) curl F = ∇×F

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Q: Write the equation of the trigonometric graph. try sin x )+ 5 4. 2 31 57 37 2 -2 -3 -4 || 3. 1.

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Q: 2. Use the linear approximation of f(x) = x² ln(x + 1) to estimate (1.01)² ln(2.01).

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Q: Evaluate the double integral over the rectangular region R.R. ∬R7xy3dA;∬R7xy3d⁢A⁢; R={(x,y):…

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Q: (b). lim zInz² et

A: To evaluate: limx→0 xlnx2ex Using logarithmic property we can write the given limit as  limx→0…

Q: Find div F and curl F if F(x, y, z) = 7e*" i - 10 cos yj+ 8 sin² z k. div F=| curl F=

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Q: Suppose that the number of employees in a new company is expected to grow, with the number of…

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: Using the laplace transformation formula, ∫ f(t) e^−st dt evaluate L[8t^2 e^-2t]

A: Laplace transform of the function f(x)Lf(t)=∫0∞e-stf(t)dt

Q: Consider the solid a drawn in the first octant, as shown below, which is formed by the surfaces y =…

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Q: ) Find p(3). ) Find p(13). =) Find p(13)-p(3). p(13)-p(3) 1) Find and interpret this result. 13-3 -)…

A: Given query is to find the value of the function at indicated points.

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Q: B. Find the area of the region bounded by the following:

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Q: How would you evaluate |F-dr, where C is the curve with param etrizati on r(t) for astsb?

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Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 30x from (30, 30) to (0, 0). %3D…

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Q: Find V (F x G), if F(x, y, z) = 11xi+j+13yk and G(x, y, z) = xi + yj – zk. %3D V. (F x G) =

A: Given,            Fx,y,z=11xi+j+13yk and Gx,y,z=xi+yj-zkTo find : ∇·F×G

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Q: ) = x/x² + 36 ned on the interval – 4 < x < 5. ) is concave down on the interval x = to x = ) is…

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Q: Find the antiderivative of f(x) = 2 csc2 a given that f () = 1. 4.

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Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

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

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 9y and…

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Q: Given the function g(x) = 8x³ + 12x² – 48x, find the first derivative, g'(x). g'(x) = (x),6 Notice…

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Q: Let a be a real number and f(x, y) = 3ax?y + 6xy3. Let v = 3i – j and let V f(r, y) denote the…

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Q: Consider the function f(x) = 4 – 7x² on the interval [- 5, 5]. Find the average or mean slope of the…

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Q: 8. 1 +3 + 3² + . + 3"-1 = (3" - 1) (3"- 1) ...

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Q: If f(x) is continuous on the interval [a, b] and a <c < b, | f(x) dæ is equal to then

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Q: 10 dx J6 x² – 25 (a) the given integration limits (b) the limits obtained by trigonometric…

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Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

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Q: Find a plane through the points (4,-3,-4), (-6,2,8), (3,-8,8)

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Q: Given | f(x)dx = 6 and | g(x)dx = 2 , evaluate 0.

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Q: Let S1 be the hemisphere with Cartesian equation z = 6 – /36 – x² – y? and S2 be the upper nappe of…

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Q: write the equation of the tangent to the Eunction: 2(x? +y=J%=25(x* -y^) at the point (3, 1) %3D

A: First we calculate the slope of tangent at the given point

Q: 3x + 4y – 5z= - 8 4x + y- z= - 14 x- 3y + 3z = - 10

A: answer is in next step

Q: Find the volume of solid generated by revolving the region bounded by the curve y=4/x' and the lines…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Solve the following differential equations of (x' +y')dx + (2xy + cos y)dy

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Q: dy Then find the slope of the curve at the given point dx Differentiate implicitly to find…

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Q: u-3 15) If y= u+4 and u = 2/x+ 2, find when x = 7 dx %3D

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Q: A concert promoter needs to make $81,000 from the sale of 1800 tickets. The promoter charges $40 for…

A: x+y=1800x= number of $40 ticketsy= number of $70 tickets

Q: Find the derivative. Ni at

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Q: The fifth derivative of the function f(x) = 5x° is a constar False O True

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

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