3- Sketch T and Evaluate the Integral SS, div Dav F(x, y, z) = (2xz)i - xyj-z²k being Where T is the wedge cut from the first octant by the y+z=4 plane and the elliptical cylinder + = 1. 16

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A: Since you have posted multiple questions, we will provide the solutiononly to the specified sub…

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A: Let's find equation of tangent line.

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A: Answer is in step 2.

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A: Since you have asked a question with multiple parts in a single request we would be answering only…

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Q: 03 * Describe the set S = {x|x - 3| > 4} in terms of intervals. S= (-00, 2) U (4, 00) S= (-∞, -2) U…

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Q: -0.25 Functions f, g, and h are functions of x. Use the table to find lim h(x). x-0 x -0.1 -0.01…

A: Functions f. g, and h are functions of x.By using the table to find limx→0 hx. x -0.1 -0.01…

Q: (7) The linearization of the function f(x) = e³x at a = 0 is L(x) = 3x (A) 1 + x (B) 1 - x (C) 1 +…

A: Let's find linearization of given function.

Q: 1. Which is equivalent to f sin y cos(/2) dy? [sin (1/2) - sin (³/2)] dy √ [sin(1/₂) + sin(³/2)] dy…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (-a) as a 2 × 2 matrix; a is a positive constant. x Express e (-)

A: Using exponentially expansion

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A: NOTE: As per Bartleby guidelines only one question is allowed to solve

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Q: (D)in (√2-1) -Q3: fx cos x dx == (A)x sin x – co$ x +c (B)xcosx = sinx+c (C)xcosx+sinx+c (D)xsản x +…

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Q: Assume logg a = 3 and logg b = −0.5. Find the value of the following expression. logg (亭)

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

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Q: Express the function h(x) f(x) ‡ x and g(x) ‡ x. a) g(x) = = X 1 x - 1 in the form h(x) = = b) f(x)…

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Q: Find a vector parallel to u = 27 - 6k and with magnitude |||| = 9. Enter your vector in terms of i,…

A: To find a vector v→ parallel to u→=2i→-6k→ and with magnitude v→=9.

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A: Given query is to find the equation of the reflected function.

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Q: 06* If-²/3 <- < - 3t+1 < - 21/4 107/20 27/5 270/17 1<-7, what is one possible value of 9t - 3? 4

A: To find, one of the possible value of 9t-3.

Q: Find the general solution of the inhomogeneous second-order linear ODI 4y" -10y' - 6y 20 sin x.

A: The given differential equation is: 4y''-10y'-6y=20sinx We can also write as: 4D2-10D-6y=20sinx…

Q: dy = 10 - x, dx dy dx = y (0) = -1 9x² - 4x + 5, y(-1) = 0

A: 1)  dydx=10-x dy=(10-x)dx take integration both sides…

Q: For the rational function f (x) = 1²-21-35. 1²+2x-15 (a) Identify the domain, range, and any…

A: Solution: f(x)=x2-2x-35x2+2x-15 for the domain Take the denominator and compare it zero x2+2x-15=0…

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A: To find the value of trigonometric ratio

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

Q: Question 5: Choose the correct answer in each of the following: (1) lim x X-0 X (A) 1 (B) -1 (C) DNE…

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Q: General Instruction: Find the derivative (y') of the following problem. Simplify and box your final…

A: Derivative

Q: 0 IN R(y)=3-(y² +1) =2-y² x=y²+1 (3, √2) (3,-√2) R(y) = 2 - y² x=y² + 1

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Q: 1 + 3 + 5 +...+ (2n − 1) = n² -

A: Topic:- application of calculus

Q: 8.- The utility function of the Acrosonic Company is given by: P(x) = -0.02x² + 300x - 200 000…

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Q: 04 * 1 2 3 Suppose that three sequences, {an}_1 {bn}a_1 and {n}a_₁ are defined by 17n²+10n+7 117n²+3…

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Q: x* (8) √**+/+ x2 dx =

A: To evaluate the given integral

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A: