4y V16+16g Find the divergence of the vector field F(z, 9) i+ V16z + 16g Provide your answer below

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Q: A 11. (2x- 3) dx 12 (+ 2x) dr SG²– 2) dr A -2 13. 1HIO

A: 11) ∫022x-3dx    A. -2 Explanation: ∫022x-3dx=2∫02x dx-3∫02dx                      =2x2202-3x02…

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Q: Find the total area of the shaded regions. ... Ay 64 y B+x y 64-xf -10 8-6 -4 | -2 2 46 8 10

A: -8≤x≤9Intersection points:8-x=64-x2x2-x-56=0(x-8)(x+7)=0x=-7, x=8Area bounded=∫-8-7[(8-x)-(64-x2)]dx…

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

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Q: ) Let R={(x.y): 0sx,Osy, +ys4) be enclosed region. The result of the following double integral (by…

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Q: Using Integration By Parts ∫ 2x^2 e^(1/3)x dx find uv - ∫ v du

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Q: Find the indicated derivative. f (x) = x² In x + sec a; find f"(x).

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Q: Evaluate

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Q: 1. The angles of a quadrilateral are in the ratio 2:4:5:7. Find all the angles.

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

Q: xy + y² dx dy Find the general solution of

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: Find the limit. (Hint: Let x = 1/t and find the limit as t → 0+.)  lim x→∞ 2x tan(1/x)

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Q: Estimate the area under the graph of f(x)= 3x between x 0 and x=1 using each finite approximation…

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the…

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Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: The polar coordinates expressed as Cartesian coordinates are |(1, O) (-1, 0) (0, 0) O (0, 1)

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Q: 3 3 What is the value of the integral 2x ydydx ? Select one: O 4/83 O None of these O 83/4 O 4/81 O…

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Q: Find or evaluate the integral by completing the square. (Round your answer to three decimal places.)…

A: Given problem:-

Q: 4. Calculate leme/) at (z,y) = (a, 4). sin(z/g) ey2/2 A ev2/2 B 4

A: Here we have to calculate ∂∂xesin(x/y)=? at (x,y)=(π,4)

Q: 2.S Ver eax dx Sve

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Q: 9. Given arbitrary matrices A, BE RXn with n> 1, select the c of A and B). 1. tr(AB) = tr(A)tr(B) 2.…

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Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: |sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) sin(2x) 12 8 8. + C 4 sin(6x) sin(2x),…

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

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Q: Point U is on the curve y = ln(x). Let O be the line joining U to the origin. Find the coordinates…

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Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: Consider the function y = x^3 + 2^2 − 3x a) Sketch the graph of function. b) Find the instantaneous…

A: This question can be solved using the concept of graphs and derivatives.

Q: clear

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Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Answer is in step 2.

Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

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Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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Q: Complete the following KenKen puzzle to determine what is represented by x and y?

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Q: Compute the derivative of each function. (4x + 1)²] cot (5x) f(x) = ln

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use the algebraic substitution and solve the integration.

Q: An oral medication is absorbed into the bloodstream at the rate of  4e−0.04t  milligrams per…

A: Find the total amount of medication absorbed within the first 20 minutes

Q: 5. Let f be a function satisfying the following properties: continuous on R \ {0} • f(-1) = -3 •…

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Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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