Question 1. Express the complex number z = -6 -6j, in the polar form z=r(cos+jsin), where - < 0 ≤ π. Express your answers correct to three decimal places. Enter r: Enter 0:

Q: (B) T 15 15 (21) The area of the region between the graph of y = x² and y = √x is: (A) - (B) 3 (C) 1…

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Q: 6. Simplify the following equation y = 2√√xx 4√√x- A. y = 8x¹/8 - 6x²/5 + x-3 B. y = 8x³/4 C. 4-5 x3…

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Q: 5 " ["ƒ(2)dz -3, and "s(2), If f(x) dx = = -8 g(x)dx = 1, 5 then [₁1/(2) + [1f(x) +5g(x)]dx = =

A: Given query is to find the value of the integral.

Q: Given that 7 ≤ f(x) ≤ 9 for -2 ≤ x ≤ 2, estimate the value of ≤ [² f(x)d f(x)dx ≤ f [ ²³ f ( ²…

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Q: Suppose s(t) is the position of an object moving along a line at time t20. What is the average…

A: The average velocity of an object between the times t=a and  t= b is given by Vav=final postion…

Q: lim [ln(1 + x²) − ln(1 + x)] - X

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Q: Given that G(x) = cos such that (fogoh)(x) f(x) ƒ(x) = g(x) g(x) = h(x) h(x) = (17x|+), find simpler…

A: Here we have to find the functions.

Q: Write the equation of the line described. Through (7, 4) and (-4, 3)

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Q: (5 Evaluate the limit or explain Make the a) lim Sure limit. 2xy (x,y) → (1.2) y²-2x² 6) lim to…

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Q: If f(x) = 7+ Find ƒ'(5). 3 X + 6 x² " find ƒ'(x).

A: Please see the below picture for detailed solution.

Q: If f(x) ƒ'(x) = ƒ'(1) = = 4x + 5 7x + 2 " find:

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Q: 07 Find the binomial expansion of (z-2)^3 *

A: Given,           The expression is z-23.To find : Find the binomial expansion of the given…

Q: (x+2y-1) dx - (2x + y-5) dy = 0

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Q: If f(x) = 4x² 5x 10, find f'(x).

A: Topic - derivative of a function  We are givenf(x)=4x2-5x-10We know thatddxxn=nxn-1

Q: Prove, without using any results from the chapter notes, that for all z = C, z² = 2².

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Q: Solve the equation. (4x² +3x¯²y)dx + (x²y² −x ¹)dy=0 An implicit solution in the form F(x,y) = C is…

A: Given differential equation ( 4x2 + 3x-2y )dx + ( x2y2 - x-1 )dy = 0 Mdx + Ndy = 0

Q: 3. (a) Calculate the Laplace transform of each function. Explain your reasoning (i) cos(2t) sin(4t).

A: according to bartleby guide line we do only first part of multiple questions please re post other…

Q: In 2000, there were about 204 million vehicles and about 283 million people in a certain country.…

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Q: 0 -∞ poo (1 2x (x

A: We have to find the value of the given improper integral and consider the given improper integrals…

Q: Worker Efficiency An efficiency study showed that the average worker at Delphi Electronics assembled…

A: Note To Student : Thanks for posting your queries. But we are only supposed to solve one question at…

Q: Make a sign diagram for the derivative of the rational function. 6 (x-4)² f(x) = relative max…

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Q: All v's, w's, i's, and j's are vectors) Let v =⟨2,4⟩ and w =⟨3,−5⟩ (a) Find a vector of unit length…

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Q: -12 table of values of a decreasing function f is shown. Use the table to find a lower and an upper…

A: We will Riemann sum formula to calculate the integral. Rleft=∑nf(xn-1)∆xRright=∑nf(xn)∆x where delta…

Q: 07 * Solve the following systems by elimination and back substitution: 3 200 X 29. 4500 0065 0076…

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Q: At what points is the function y = x+8 2 x14x +48 continuous? ... Describe the set of x-values where…

A: Topic- Continuity of a function Rational function is discontinuous ,where its denominator is zero.

Q: A company's average cost per unit when x units are produced is defined to be Total cost Average cost…

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Q: Scaling laws apply not just to organisms but also to entire ecosystems. (Figure 1) shows the number…

A: Scaling laws describe the functional relationship between two physical quantities that scale with…

Q: Find the limit lim-0+ xlng10

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Q: Find the slope m of the line passing through the given pair of points. (27, 26) and (20, -16) m =

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Q: 1. Let a be a real number and f be defined by { What are the values of a for which f is continuous…

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Q: 10. Which one is the arc length of the given f(x)= c)1 + √2 A) 2 + √2 11. Which one is the…

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Q: onsider the function f(x) = 4 – 5x², - 3 ≤ x ≤ 1. < he absolute maximum value is nd this occurs at x…

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Q: Solve the initial value problem. dy dx +6y-8e-3x=0, y)= The solution is y(x) = 5

A: To solve the following initial value problem.dydx+6y-8e-3x=0, y0=53

Q: S³ Ꮎ zs02 Өр e suis ii )

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Q: (a) Find the slope of the curve y=x² - 4x-5 at the point P(3, -8) by finding the limit of the secant…

A: (a) The given curve is: y=x2-4x-5 To find the slope of the curve at the point P3,-8 by finding the…

Q: 3. Find y' by implicit differentiation. a. x³ 3x²y + 2xy² = 12

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Q: Suppose a company has fixed costs of $1500 and variable costs per unit of 15x + 1120 dollars, where…

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Q: Given the following graph of f, find the limit or quantity if it exists. If it does not exist,…

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Q: 1. Find the derivative with respect to x of the following functions. (a) f(x) = 5x² +3 (b) f(x)=1/x…

A: We have to solve given Questions.

Q: Solve the seperable equation for. (dy/dx)=(1+x)/xy12;x>0 Use the following initial condition:…

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Q: 6. 2 a. Solve the equation 3(3x² + y2)x - 2xydy = 0. x² = c(9x² + y²) x² = c(3x² + y²) b. C. d. x³ =…

A: The given differential equation is a homogeneous differential equation. We can solve the given…

Q: 3. Find for the quotient of the following expressions using the long metad 1. 4-8x³y +16xy-12xy…

A: Since the student has posted many sub-parts of the question and mentioned to solve question no. 1 to…

Q: Solve for the particular solution: (D³ - 5D² + 4D)y = 12x² - 38x +4 yp = -3x^2 + 2x + 3 О yp = x^3 -…

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Q: 03* 1 Which of the following expressions is not a valid antiderivative of for x > 0? x In(x+1)…

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Q: 3. Let f: [-2,2] → R be defined by f(x):= 22 +1¹ x € (-2,2]. Find the intervals in which f is either…

A: Given :fx=xx2+1[-2, 2]

Q: Write the integral in terms of u and du. Then evaluate. [₁2 12xet² dx, = x² u=

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Q: QUESTION 35 Which of the following is the linearization of f(x) = x4 + 3x², if a = -1? L(x) = -10x +…

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Q: Find the distance from the point S(-5, -8,6) to the line x = 2t, y = 8t, and z = 10t. The distance…

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Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

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Q: 3. (Lines and Planes) Consider the intersecting lines, L₁=3-3t, y=t, z=0, L₂-3s, y=0, z=2+28.

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