What is the complex number z = -3 + 3√3i represented in polar form? Enter your answer by filling in the boxes. Enter the angle measure as the smallest positive angle in simplified form and any radicals in simplified form. Z = cis

Q: 1. Which of the following is NOT true about how f(x) = sin³¹(−4(x+6)) + 8 compares with its parent…

A:

Q: (a) Let R > 5 and let CR be the closed, anticlockwise contour obtained by joining the line segment…

A:

Q: Use the graph of f shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [tan²(x) cos³(x) dx

A: let B=∫tan2xcos3xdx

Q: 4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin…

A:

Q: 5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal…

A:

Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: ∞0 (x+1)" n=1 Vn4n

A: Use the Ratio test

Q: Let f(x) = 2x³ - 3x² - 72x+1. a. Find all points on the graph of f(x) at which the tangent line is…

A: Let fx=2x3-3x2-72x+1 (a) To find all the points on the graph of fx at which the tangent  lines are…

Q: Evaluate the integral. TT/2 [*¹²7 cos²(0) do de

A: NOTE: Refresh your page if you can't see any equations. . use the formula: cos2x=1+cos2x2

Q: To establish a "rainy day" cash reserve account, a certain company deposits $11,000 of its profit at…

A: We have   P = 11000    r = 1.55% = 1.55/100 = 0.0155 Compund quartely: n = 4   t = 4 in first    t =…

Q: 2.5 2x dx 9-x²-8x

A: since you have posted multiple question i can do first question as per our company guidelines,…

Q: If you know that f(x) = f'(x) = f'(x) and that f(-3) = 5 while f(1) = 5e4 then: [₁2.5" f"(x) dx =…

A: ∫-31xf''xdx

Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…

Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

A:

Q: Suppose that lim an = 5 and lim bn = 9. n-0 n→∞ Determine the limits. lim (an + bn) = n→∞o lim a =…

A: We are given that limn→∞an=5 and limn→∞bn=9.We need to find the given limits.

Q: 6. Find equation of the tangent line and normal line to the curve at the given point. x² + 5xy + y²…

A:

Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

A:

Q: e = exp(1) is called the exponential function. Which of the following are true?

A:

Q: F(t )=100,000t for the next 9 years. What is the Present Value of this income stream over the 9…

A:

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [70 7 tan(x) sec³(x) dx

A: The integration given is, ∫7tan(x)sec3(x)dx

Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

A:

Q: (a) Determine the domain and range of the following functions. (1) z=sin(x-y)

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A:

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

A:

Q: A plane has parametric equations x = 2-s + 3t y = 4 + 3s-t z = -5 + 2t where s, t E R a) Find the…

A: Given equation  x=2-s+3t y=4+3s-t z=-5+2t

Q: Calculate the integral approximations Tê and M₁ for ſå xª dx. Your answers must be accurate to 8…

A:

Q: Determine whether the lines and intersect. If so, find the point of intersection. r₁(t) = (0, 1, 1)…

A:

Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

A:

Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…

A:

Q: 15. a) Find the limit. x²-9 lim x--3x²+2x-3 b)lim √25+h-5 h

A: (a) let H=limx→-3x2-9x2+2x-3

Q: (7) Given the graph of f(x) below, state the value of the following limits if they exist y

A: as per bartleby guidelines we are supposed to answer first three subparts only please repost other…

Q: The expression (3a¹b³c¹)² (2a²b³c³)³ equals na²b³c¹ where n, the leading coefficient, is: and r, the…

A:

Q: Find the derivative of the function. f(x) = 5x²1n 3x

A:

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: A tank, shaped like a cone has height 4 meters and base radius 3 meters long. It is placed so that…

A: This is question of calculus. Here cone is given  And water in cone given  We have to find work for…

Q: 1. Determine the derivative of the following exponential functions 2x² a. f(x)= e b. f(x)=…

A:

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A:

Q: 5. Determine a vector equation of the line that passes through the origin and is parallel to the…

A: Determine a vector equation of the line that passes through the origin and is parallel to the line…

Q: Find the limit. lim (x,y) → (9, 9) 3 3,,2 (x²√³ - x³y²2) -

A: Apply L'hospital rule in limit

Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

A:

Q: Compute the improper integral DNE 1 e e e 1 x ln(x) -dx if it exists. If not, select DNE.

A:

Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x²…

A: Given: f(x)=x2 We are required to: a. Find the simplified form of the difference quotient…