(c) The complex number graphed below can be expressed in rectangular form as z = 1+ i z = ImA i- 0 1 Re or in polar form as

Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

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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: The derivative of f(x)=sec x is Select one: a. sin x COS X O b. C. O d. sin ² x 2 COS .X sin x cos²x…

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Q: Consider the following function and answer the sections: f(x)= -- 25x+1 3 d) Locate the intervals of…

A: NOTE: Refresh your page if you can't see any equations. . take the first derivative

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

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Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

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Q: I. Find dy/dx of the following: 4. y=√1+In²x 7. y In- COS X √4-3x² 5. y = sin²(In x) 8. y In, x- 6.…

A: Topic - Derivative of a function Power rule: ddxxn=nxn-1ddxln(x)=1x

Q: Find the area of the region bounded by the graphs of the equations. y = 7x² + 3, x=0, x=2, y = 0

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

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Q: Find a function y(x) such that 6yy' = x and y(6) = 3. y =

A: The objective of the question is solving the differential equation.

Q: 3. State the components of a unit vector that is perpendicular to the vector = (5,2,−1).

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Q: Solve the separable differential equation dx 2 dt and find the particular solution satisfying the…

A: Please see the below picture for detailed solution.

Q: 5. Which of the following expresses √175 in simplest form ? a) 5√2 b) 5√7 c) 7√5 d) 9√5

A: Given that, the number is 175.

Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

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Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: √= - 4x + 43 x² 11x + 18 dx = +C

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = (cos(t¹) + t)dt…

A: Solution is given below:

Q: lve y' = 14xy – 2x, y(0) = 11 x) =

A: Topic:- application of integration

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: dy 18. x dx (1 + x)y = xy²

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Q: Use interval notation to determine f(x)

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

Q: Use the graph of the function to estimate the local maximum and the local minimum of the function.…

A: We have to use the graph of the function to estimate the local maximum and the local minimum of the…

Q: Find F as a function of x and evaluate it at x = 0, x = 7/4, and x = 7/2. 1-² sin € F(x) = F(0) =…

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Q: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: (2y + √y sin x) dx + xdy = 0

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Q: The graph of the function f(x) is shown below. State all values of x in the ope which the function…

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: If what does the following integral equal? - 11 [¯¯1² [8f(x) + 2g(x) — h(x)]dæ = - 68 - 11 [= f(x)…

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Q: 5. Determine whether the following are rational numbers: (a) 2² +27¹; (b) log₂ 3; (c) 2+√2. (d) If…

A: We have to find if the given numbers are rational or not.

Q: c) lim f(x), limf(x) y limf(x). -3 -2 -1 4 3 2 0 y = f(x) 2. 3

A: Check for the corresponding values where the graph is continuous and check for both sided graph…

Q: There are only two solutions to the trig equation sin =1. a) True Ob) False c) It depends on the…

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Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: Given the function y = −2x√/2 - 4x, find dy in any form.

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Q: Use a system of linear equations with two variables and two equations to solve. A number is 8 more…

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Q: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

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Q: Find the area under the curve y=sin2xcosx for the given limits; sketch the area. Hint: integral in a…

A: Topic:- application of integration

Q: 3. A particle moves along the x-axis with velocity v(t) = t2-1, with t measured in seconds and v(t)…

A: Given velocity v(t)=t2-1 To get the total distance traveled, we have to integrate the velocity…

Q: 150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

A: We know that, The highest point the graph ever reaches is the absolute maximum. The lowest point the…

Q: Need

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Q: 7-x, x4. Complete parts a through d below. Let f(x) = a. Find lim f(x) and lim f(x). Select the…

A: Given that a limit problem and we solve by  using limit method of right-hand  and lefthand  limit…

Q: 13. What is the maximum value of the parabola ? 5 0 5 a) y = 3 b) x = 4.9 -Cr- 5 c) y = -1 d) There…

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Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 2x The area of the region…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Use the following information for Questions 4 and 5. f is a continuous function with a domain [-3,…

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Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

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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: Five years after purchase the auditor of a newspaper company estimates the value of their printing…

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