1. For each of the following solve the system that is given. a) : (x, y, z]-[5,-1,3]+[4,-5,2] and :7x+4y-4z-19=0

Q: 4. x² + y² = 25 at point (3,4) 2

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Q: 2. If g(x)=√√3-x and f(x) = x³ +1 evaluate the following: gof(-1) b. (g-f)(2)

A: Given, g(x)=3-xf(x)=x3+1

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Q: Use a double integral to find the volume of the solid region under the paraboloid z = x² + y² and…

A: Use double integral concept

Q: y = sinx, x = 0, y = 1; about y = 1.

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1-6 0 {}} 4 3 5 3 4.) +

A: To simplify the given expression.To write "undefined" for expressions that are…

Q: family

A: Please refer to the image below

Q: The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

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Q: Convert the Cartesian coordinate (6,2) to polar coordinates, 0 ≤ 0 < 2π r= 2√10 Enter exact value.…

A: Given:    Coordinate : ( 6 , 2 )       0 ≤ θ &lt; 2π

Q: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

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Q: Find the area of are a the region i) Sketch the ii) Determine the boundarien iii.) set-up the…

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Q: Evaluate the following integral: a.) SIS z ln y tan z dV if S = {(x, y, z) = R³ : − 1 ≤ x ≤ 0, e ≤ y…

A: S is a rectangular cuboid, hence limit of each individual are independent so the integral are…

Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0≤ 0 0 r = Enter exact value. 0 =

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Q: Given f(x) = x-1 2 on [- 2, 2]. x²+1 a. Find the critical numbers of f on the given interval. b.…

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Q: For the rose r = 4 sin(20) and circle r = 2 shown in the figure. Find the area inside the rose and…

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Q: VI. Consider the conservative vector field 1. F(x, y, z) = (z cos(rz) -y sin(ry), 2y cos(ry) - ry²…

A: Solved below.

Q: s Compounding If the present value of an item is P and we experience an inflation rate of r for t…

A: using algebric operation

Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: Calculate the area of the segment cut from the curve y = x(3-x) by the line y = x. 2 sq. units 1 and…

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Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

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Q: Find all the critical points of the following functions and classify them as local maximum, local…

A: First we need to find the critical point and then we should apply the conditions to approach it as a…

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Evaluate the following limit, if it exists. lim (8-1/2) x→6

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Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: Andy and Donald are both running toward the soccer ball during a game. Andy's path is represented by…

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Q: Question 12 If u and are non-zero vectors and Proj= 0, then which one of the following must be true?…

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Q: 5.) I. b -3 -6 Simplify. Write "undefined" for expressions that are undefined. S + toom 6 0

A: Answer (5) We have to simplify

Q: Find the general Solution of the complement of the following differential equation y" - yy) +y =oy=0

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

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Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 10. 1 (Use…

A: The given isosceles triangle with legs of length l=10

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

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Q: SET-UP a triple integral that will solve for volume of the solid S bounded by the sphere x² + y² +…

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Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: A rectangular bird sanctuary is being created with one side along a straight riverbank. The…

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: TRUE or FALSE: 1. The integer 5047 is a prime numbe

A: To write down that the given number is a primer number or not.

Q: Question 10 The parametrization describes a cone. O True O False r(u, v) = (u, sin v, cos v)

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Q: Suppose z = f (x, y), where x (s, t) = 2st and y (s, t) = s t + 7. af af At point P, suppose = 3 and…

A: Here we have to find a partial derivative at a point.

Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: If u = 0 (and neither of them are zero vectors), then the two vectors are orthogonal (perpendicular)…

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Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

A: Given problem:- Let a(t) = 20e-0.3t (in milligrams) be the amount of drug in a patients body at time…

Q: Question 18 If F is a conservative vector field in R³ and C is a loop (curve whose initial and…

A: To find which thing is true about given line integral.

Q: What is the solution of the given ODE * xy' + y = √x /2 x = {√x + ² y = {√x + = 2 y 1 x Option 1…

A: Given problem:- What is the solution of the given ODE*   xy' +y= √x

Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

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Q: Let f(x, y) = 10-3r² +4. (a) Find the gradient Vƒ(2,-3) of f at the point P(2,−3). (b) Find the…

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Q: B. Find the general form of the equation of the tangent line to the given curve at the indicated…

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