Write the complex number in polar form with argument between 0 and 2. -1-√√3i

Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

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Q: Finding the Domain and Range of a Function In Exercises 7-10, use the graph of the function to find…

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Q: A line passes through points A(-1,-5, 9) and B(8, 5, - 15). A vector equation for the line is 7=(-1,…

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Q: 12. y= tanh(t2 +1)

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Q: In a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the…

A: Here, the vertex is located at the lowest point of the cable. Let us take the horizontal line…

Q: If fa rsin xd a. -6 b 6312 C. 6 d - 3 2 = -x³ cos x + 3x² sin x + k fx x sin xdx, find k

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Q: G 3 X lo dx si

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Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= - 4 cos…

A: We  have given polar equation  r=-4cosθ-6sinθ Using cartesian equations x=rcosθ y=rsinθ x2+y2=r2 Put…

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Q: 3. Which of the following is TRUE about the parabola for the function f(x) = 2(x + 3)² + 6 a) the…

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Q: X 10. [7x+3x+1 dx 2x ux 11. Jhxdx 12. f(x²-4)³ dx 2x

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Q: State the domain: -6 -4 -2 6 2- 0 -2 2 4 6

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Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: 8. Use the Chain Rule to find az/as and az/at. z = (y-2x)³, x = s³t², y=s+t²

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Q: Use the graph of the function f(x) shown below in order to determine all values of a in the interval…

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Q: Simplify. (x3 · x3)2

A: We know, a. xk.xl=x(k+l) b. (xk)l=xkl

Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: 1. Evaluate. a) lim x--2 ³-2x² +12 x² +1 x² -8x+7 b) lim x-7 2. What is the average rate of change…

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Q: Which one of these is a vector equation for a line in 2-space? y = 3x + 7 =(-2, 1,0) + s(-4, 2, 1) +…

A: Given ○y=3x+7○r→=-2, 1, 0+s-4, 2, 1+t1, -1, 2 s,t∈R○3x+4y+7=0○r→=2, 1+t-1, 3 t∈R

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Q: Determine the type of function shown in the graph below. a) Linear function b) Quadratic function c)…

A: Here we have to choose the correct option.

Q: 5. Find the functions whose equations in factored form have a factor that is squared. These…

A: Here is a structure of a function whose equation in factored form has a factor that is squared:…

Q: If f(x) = 1 and g(x)=x² +2, then go f may be expressed as x-2 g(f(x)) = axa +2ßx+y xa + Bx-ß Find a…

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Q: (2y + √y sin x) dx + xdy = 0

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Q: Express the polar coordinates 5, 11t 6 in Cartesian coordinates. What is the point in rectangular…

A: Given: Polar coordinates 5,-11π6

Q: 10 f(x) 10 5 -10 10 X

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Q: A water tower is located x = 275 ft from a building (see the figure). From a window in the building,…

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Q: 49. y' + (-) x =) = xy²

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Q: A particle is moving along the curve having the vector equation R(t) = ti+t²j+ tk. Find the vectors…

A: The given position vector is  Rt=t i + t2 j + t k.   The velocity vector is given by Vt=R't=i+2t j…

Q: A point is graphed in rectangular form. Find polar coordinates for the point, with r> 0 and 0 ≤ 0 <…

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Q: dy 44. -2,(-1,0) x-2

A: Given problem:- dydx=x-2x

Q: ex 1₁-0² (1 - e²x) a. 3 b. C. ex VI d. √1 G ex ex 3 2 5 ² ( + 2 1-e(2x) 2 5 dx e2x In 1-e2|+C e2 + C…

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Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: 17. tan (cos x)

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Q: Evaluate functio J dx x² - 6x + 13

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Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: y 200 150- (-3.75,93.75) 1000

A: increasing interval where slope increading

Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

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Q: Use interval notation to determine where f(x)>0. 2. Use interval notation to determine where f(x)>6.…

A: The objective is to use interval notation to determine where f(x)&gt;0. 2 and use interval notation…

Q: Find an expression for a cubic function fif f(1) = 36 and f(-5) = f(0) = f(2) = 0. f(x) = Need Help?…

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Q: <X< 6 Submit Question 5 4 3+ 2+ -3 -2 -1 1 2 For the above rational function f(x) = 1 3 Q 17 2x²…

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Q: dv/du = (u - v)² -2(u - v) - 2.

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Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

Q: 2. How much money is needed to establish a fund that pays a research scholarship of $10,000 each…

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

Q: (a) √3x³ + 3x - 2 dx (b) √3x²+√x dx √x (c) főz (z ² − z− ¹) dz (d) 2² (3−u)(3u + 1) du

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If…

Q: Evaluate the definite integral by the limit definition. [²₁x² + (x² + 5) dx Submit Answer

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Q: S 3 T 2 For the above rational function f(x)= 3 Q 17 2x² +2.5 . identify the interval on which f is…

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