Express the number 7√3-3i in the form R(cos(0) + i sin(0)) = Rei, where R> 0 and ≤0 ≤TT. NOTE: Round the value of 0 to exactly two decimal places.

Q: A Вс Co 6²10 C = 10 a = 8 Solve the triangle

A: The given triangle has measures a=8, b=10 and c=10

Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: Find the general solution of the following differential equation. y" + 10y' — 11y = 0 NOTE: Use c₁…

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Q: S * x3 (2x+5-3Wx)dx 0월 18-52-28 100 +c 0 23 5 +5x³ 8x³ +15x² - 2 +c +c ○ 2x35x4 22 5분 28 +0 + 5 4 3

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Q: .) Use method of Laplace Transforms. y"-6y +13y=0, y(0) = 1, y (0) = -3.

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Q: exist. (i) (ii) Find the limit if it exists, or show that it does not lim (x,y) →(1,-2) y² + 2xy +…

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Q: Question 2 ( ) Draw the enclosed region by the curves y = √1-x, y = 0 and x = -3.

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Q: Solve sec(4x) - 9 = 0 for the four smallest positive solutions - x= Give your answers accurate to at…

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Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: Suppose that the position of a particle is given by s(t): 6t³ + 4t + 9. = (a) Find the velocity at…

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Q: Determine the area bounded by the curves y = ex, y=x²-1, x=-1, and x = 1. (A) 3.68 square units; (B)…

A: The region is bounded by the curves y=ex, y=x2-1, x=-1 and x=1

Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

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

Q: Find the average rate of change for the given function over the indicated values of xx. If…

A: Given that  y = -2x2 +5x+1   where 'x' goes from -2 to 6 .     we have to find average rate of…

Q: 5. Determine where the local and absolute maxima and minima occur on the graph given.Assume the…

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Q: Use the Integral Test to determine whether the series is convergent or divergent:   ∑1/n3

A: The give series is convergent...for detail...go through the solution...

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the given graph, we have to find the increasing and decreasing intervals.

Q: For the following exercises, find f(x) for each function. Use the Rule (NOT Equation 3.4 and 3.5)…

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Q: Evaluate: f 4dx 3x+2

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Q: Consider the following function. f(x) = 4x² - 6x Find the limit. lim Az-0 f (x + Ax)-f(x) Ax

A: Explanation of the answer is as follows

Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: A car was valued at $33,000 in the year 1994. The value depreciated to $12,000 by the year 2006. A)…

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Q: 1²) Given x = y² +y+l from 0≤ y ≤z +x+| the are length of the given curve over the interval is a.…

A: The given function is: f(Y)=Y2+Y+1 f'(Y)=2Y+1 The formula for the arc length on [a, b] is…

Q: an+1 = √√42+ an, a₁ = −42

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Q: 2 2. V X W y = -log₂ (x+3) Equation of Asymptote: Mapping Rule: #3 O -6 E $ 4 R % 5 -2 22 T 2 0 -2…

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Q: Sketch the region enclosed by y = eº y = e⁹, and x = 1. Decide whether to integrate with respect 5x…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the derivative of f(x) = = 4√√x + 2 x7 . Type your answer without fractional or negative…

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Q: If the curve y= from (0, 0) to (3,9) is rotated about the x-axis, the integral that represents the…

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Q: Evaluate 6252 6251 6250 6254 6253 Ads, where C is the right half of the circle x² + y² = 25.

A: To evaluate the given integral.

Q: O The following integral L (3. (3-ex) dx is an improper integral of type II that converges to -2. is…

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Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

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Q: A particle is moving with the given data. Find the position function, s(t), of the particle. [Note:…

A: Solve the following

Q: the function f: Z × Z→Z × Z defined by the formula          f(m,n) = (4m+3n, 3m+2n) is bijective.…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: (a) Find an angle between 0 and 2π that is coterminal with 17t 10 (b) Find an angle between 0° and…

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Q: 1).Use the direction field below from the differential equation y' = −4y to sketch the graph of the…

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Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

Q: Using a suitable trigonometric substitution, the integral dx 3 (16x² + 9)² is equal to sin 8+ C₁-<<…

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Q: Determine fr and fy from f(x, y) = x³ + x²y + xy² + y³ ○ fx = x + xy, fy = x + 2xy ○ fx = x² + xy,…

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Q: 3 C≈ (Do not round until the final answer. Then round to the nearest tenth as needed.) A≈ (Do not…

A: Topic:- trigonometry

Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ TACHY 1. (D³ - 5D² + 3D + 9)y = 0 2 (D3 D2 1

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: a) Sketch the region of integration and evaluate the double integral 8 [L, -6 10 -2 y + xy² dx dy b)…

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Q: Halla los valores extremos (máximo y mínimo absoluto) de la siguiente función, en el intervalo…

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Q: Find the gradient of the function f(x, y) = x²y+y³. Vf(x, y) = xî+ (x + 3y²) ĵ ○ ▼ f(x, y) = xyî +…

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Q: c) i) Find the general term (an) of the sequence 4e-³,5e-6, 6e-⁹,7e-12, 8e-15,9e-18, ... ii)…

A: The objective is to find the solution of the above question.

Q: A. Find the roots of the following differential equations and match with their complete solution.…

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Q: After performing the long division on x²-4' we can conclude that the integral S = is the same as X…

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Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 sin(4x - 6y)).…

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