Question Find the point (u, v) in the first quadrant on the ellipse 4x2 + y² = 4 so that the area of the triangle with vertices A, O, B is the smallest, where O is the origin, and A and B are the z-intercepts and the y-intercept of the line tangent to the ellipse at the point (u, v). (UV)

Q: nny Convert -545° to radian measure. Write your answer in exact form and also approximate your…

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Q: In AQRS, r = 6.7 cm, s = 1.9 cm and ZQ=90°. Find the length of q, to the nearest 10th of a…

A: NOTE: Refresh your page if you can't see any equations..here we have

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Q: (d) S₁|x²-4|dx (4 continued) (e) (x²+7)²

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Q: A banker invests $25,000 into two mutual funds. One fund pays a phenomenal 24% interest on the…

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Q: 4. The inverse function of y=x²-2x+2 is 2 ƒ˜¹(x) = −1+√√x-1 +2-1 c. ƒ˜¹(x) = −1+√√√x−1 5. cos (cos 8…

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Q: Find the maximum and the minimum values of f(x,y,z)=2x-5y + 6z on the sphere x2 + y2 + z2 = 65.

A: To find maximum and minimum value

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Q: Use algebraic manipulations and limit laws to evaluate the following: (a) Find limx→∞ √x + 9-√√x…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: D. 22√2) 3 2√3) 9. if f(x) is even function and g(x) is odd function then a. 18 b. 24 (f(x) g(x) +…

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Q: Graph f(0) = 3tan(0 - ) - 1 where ≤ 0≤.

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Q: For a football game, 5,600 tickets were sold. The price for each adult ticket is $27.25, and the…

A: Let the number of children tickets be x Let the number of adults tickets be y

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Q: z cos(2x)) - cos(2x))+

A: here using sin2x = 2sinxcosx                 cos2x = 2cos^(2) x -1

Q: 20. approximate (2.01)² by linear approximation is a. 1.02 b. 1.03 c. 4.04 d. 8.12 e. no

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Q: Find u x v, v x u, and v x v. u=i-j-k, u x V (a) (b) (c) V x u VX V v = 5i + 5j + 5k

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Q: True or False: 10 x² ≤4-y² (2)y > x -6 201 inequality makes this graph. 10 MASONUNDA ROUNDINUM

A: The inequalities are

Q: 3π 2 cos COS ( ³ (x - 5)) { 5 ≤ x ≤ 9} log₂ (x-8) {9≤x≤12} -(x-13) {12 ≤ x ≤ 16 }

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: Simplify the expression. (Assume that r, s, and t are positive.) √64r6√√s²t4 3

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Q: (1)x= y + 3z = 15 Solve the following system of equations: (2) -y+ z = 6 (3) Z=1

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Q: A pendulum at rest is hit to put it in motion. The distance the pendulum is from its resting…

A: Consider the given function.

Q: əz Use the chain rule to find and əs tan (=), z = tan əz at u = 7s + 4t, v = 4s - 7t

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = b = c =

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Q: What is h' (a) when h(x) = arccsc(-3x)?

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Q: Two poles, one 6 meters tall and one 15 on of each pole and it is also staked to the ground…

A: Height of poles is 6 m and 15 m and they are 20 m apart from each other Let it is staked at x m from…

Q: Write both the scalar or cartesian equation of a plane that is perpendicular to the line [x,y,z] =…

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Q: c) Determine the second derivative. f(x)=x²5x² + 3x + 2 d) Determine points of inflection, and…

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Q: (Urgent) please answer step 8, thank you

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Q: A ball is thrown upward from the ground with a speed of 112 ft/sec. (a) Find its height above the…

A: To find height above the ground t sec later And Max height, if  initial velocity is 112ft/sec

Q: Confirm the integration formula by integrating the appropriate Maclaurin series term by term. 1. f…

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Q: For x = R, f(x) = log2 - sinx| and g(x)=f(f(x)), then (1) g'(0)=-cos(log2) (2) g is differentiable…

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Q: Use mathematical induction to show that n - n is a multiple of 6 for all positive integers n ≥ 2.

A: n3 - n is divisible by 7by mathematical induction

Q: Write down the first five terms of the following recursively defined sequence. a1 = 3; an+1 = a1 =…

A: ................(1)

Q: Obtain the general solution to the equation. dx dy + 2x=5y6 The general solution is x(y) = ignoring…

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Q: Suppose F(5) = -7, F(9) = 3, and F'(x) = f(x). = [ 7f(x) dx

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Q: 9. ABCDEF is a regular hexagon with centre O. Let AB = x and BC = y. Represent the following vectors…

A: ABCDEF is a regular hexagon. To represent vectors AC and BE in combination…

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Given:The objective is to Part (a) Find the absolute maximum and minimum values.Part (b) Check that…

Q: 4. The beaver population near a small lake can be modelled by the function: P(t) = 0.5(t + 4)(t + 2)…

A: Given thatPopulation where  is the time, in years (a) derivative of the function

Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

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Q: The following set of equations has how many solutions? y+ x² = 4 y-x=4 3 O infinitely many 0 1

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Q: Determine if the point (4,-5) lies on the line whose vector equation is [x,y] = [2,1] + t[-1,3]

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Q: Please give me answer very fast in 5 min Graph function, f(x) = ×^4 - 8x^3 + 18x^2 by determining…

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Q: Perform the indicated operation and simplify the expression. 1 + 1 - 3 3 |x X

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Q: Solve the following system of equations: (1) 4x-3y-2z= 21 (2) 6y- 5z = -8 (3) Z = -2 O Ø (the null…

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Q: Express the integral U f(x, y, z) dV as an iterated integral in six different ways, where E is the…

A: Given that, y=x2z=0y+4z=16  using, z =0;y=16;Thus, we have the range of variables as follows;

Q: Let f(x) be a quadratic function such that f(0) = −8 and f(x) is a rational function. Determine the…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: Given two alternating sequences.