Given y = Vx – 2Va – 2; Find y'. - |

Q: III. In each of the following, find r'(0): 1. T(t) = (2 – 3t)³ î – sin¯'(2t) ĵ – cos-"(2t) k 2. T…

A: find r→'(0)

Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: _1. There is no function f(x) such that S f(x) = f (x) + C.

A: To determine whether the given statement is True or False.There is no function fx such that ∫fx…

Q: Find the work F dr done by the force F + yj+k around the curve C that is formed by the intersection…

A: Find your answer below

Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: Find the vector component of v = (4, –1,7) along b = (3, 6, –6) and the vector component of v…

A: Given: v=4,-1,7 & b=3,6,-6   As we know that the expression; The vector component of v along to…

Q: 3) Find the missing angle and sides of the triangle below. Round the lengths of the sides to the…

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Q: Set B 1. Prove using vectors that the points (-1, 3, 3), (0, 1, 2), (2, 2, 2), and (3, 0, 1) are the…

A: As per bartleby guidelines we only give first question answers.

Q: Graph the function, not by plotting points, but by starting from the graphs below. y = 6 - (+* GY y…

A: 13x is a decay function.Option-D represents it.-13x will be exact reflection of option-D about…

Q: SEATWORK Solve two problems; one from each number. Submit clear and upright photos of your…

A: 1.a) A1,-2,3; B-3,1,2b) A-3,1,2; B1,-2,3c) A2,-1,-5; B3,1,-2 Note:    Multiple questions with sub…

Q: Write the complex number in standard form. V-54

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Q: For the function f(x) = x3 + 4x – 2 find the following. (Use C for the constant of the indefinite…

A: The given function is f(x)= 12x3+4x-2. We have to find the value of the integral,…

Q: 7) a) Graph the following piece-wise defined function. if x 2. -1, f(x) = %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: onsider the following function. f(x) = x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) Su d 125? V u? +4 + u²…

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Q: 23n (n!)3 30. (3n)!

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Q: BELOW WRITE IT PLEASE ON A PAPER! Use the provided rectangular and polar graphs for sketching Sketch…

A: Find your answer below

Q: Write the system of equations that corresponds to the following augmented matrix. 1-9 9. -3 5-4…

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Q: 4/3 J48-x J64 -x² -y? +8 Let J= z dz dy dx - 4 /3 13 (x? +y?) (i) Express the integral J in…

A: This is a problem related to conversion of cartesian coordinates. Based on the general formula we…

Q: Use the Comparison Test to determine whether the series is convergent or divergent. 1 n3/4 n- 2 Σ -…

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Q: dy 8. 6. Which of the following is a particular solution to the differential equation dx when x = e5…

A: Option D is correct answer.

Q: The figure represents the quadratic f unction 1. Find the domain and range of the function 2. find…

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Q: Determine the extreme values of the ff. functions. f(x) = x^2 + 3 on [1,3]

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Q: Consider the following. f(x) = 4x3 . - 6x2 24x + 4 (b) Find the local maximum and minimum values of…

A: Given problem:- Consider the following.   f(x) = 4x3+ 6x2 - 24x + 4   (b) Find the local maximum and…

Q: 2. Let Ā and B be nonzero vectors. Find k e R such that Ā + kB is orthogonal to B – Ā.

A: Two nonzero vectors u,v are orthogonal iff u.v=0 For any two vectors A,B we have, (A.-B)= -(A.B) and…

Q: Solve the initial value problem dy 9(t + 1) – 6y = 18t, dt for t > -1 with y(0) 11. y =

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Q: Evaluate the indefinite integral as a power series. What is the radius of convergence? d.x 1+ x5 13.

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Q: Problem #11: Consider the following function. h(u, v) = u³ + 24uv + 12v² (a) Find the critical…

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: First we will find the equation for revenue.

Q: 6x-7 4. S (2x+1)(4x²+1) dx In(4x² + 1) – 2 In(2x + 1) -Tan" (2x)| + C'

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Q: (a) Oppositely directed to v = (19, –14) and half the length of v. -19 V557 1. w = 2

A: Given ,v=19i-14j+0kAim)  find Oppositely directed to v and half the length of v.Therefore…

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A: Graph of the function is given, we have to find its increasing and decreasing intervals

Q: Find the mass and center of mass of the solid E with the given density function p. E is bounded by…

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Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. Σ n V n2 + 4…

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Q: Calculate the cross product. (Use symbolic notation and fractions where needed.) (i + j) × k =

A: (i+j)×k

Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

Q: A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo…

A: W be the amount of water C be the amount of cola A be the amount of alcohol

Q: What is the spherical excess of a spherical triangle whose angles are all right angles

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Q: 1) State the values of sin A, cos A, and tan A. 2) Using the diagram below, find sec B, csc B, and…

A: Explanation of the answer is as follows

Q: Consider the following function. f(x) - x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: Consider the function f(x) = x + 2/x − 6 . a) Is the point (3, 14) on the graph of f? b) If f(x) =…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x2 - 4x - 12…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: A polynomial function is given. Q(x) = -x²(x2 – 4) (a) Describe the end behavior of the polynomial…

A: Find your answer below

Q: The integral is improper: 62x+6 dx X-7 Select one: O True O False

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Q: Find three real numbers x, y, z whose sum is 6 and the sum of whose squares is as small as possible.…

A: Suppose the numbers are x,y and z which sum is 6. So, g(x,y,z)=x+y+z-6=0...(1) And, whose sum of…

Q: Find the gradient of the function at the given point. w = x tan(y + z), (12, 13, -11) Vw(12, 13,…

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Q: Given 7 f(x) dx = –10 f(x) dx = 8 %3| 7 6. g(x) dx = –1 g(x) dx = -8, compute the following…

A: Given problem:-

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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