Convert the Cartesian coordinate (-6, 2) to polar coordinates, with 0 ≤ 0 < 2π and r > 0 r = 2√10 = 1.89 X

Q: Given f(x) = 2(x - 1)(x + 3)³(5x + 1)^(x − 3)¹ List the zeroes (ex. 4, 6, -2): Degree: End behavior:…

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Q: Explain why: limx→a−b f(x) = limx→a f(x − b).

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Q: Convert the Cartesian coordinate (1,6), in Q. I, to polar coordinates, where 0° 0. r= 0 = 83.66 I…

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Q: Find h (-2) and domain of h (x) .et f(x) = x² + 3, g(x) = √√− x² − x + 2, h(x) = h(x) = (ƒ • g)(x).…

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Q: 2. (4x²-y² dx-xydy=0

A: given differential equation

Q: H.W (3) Solve the following differential equations of ra (y² +1) dx + (2xy +1)dy=0

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Q: Find all solutions to the equation. 2 cos 0 + √2=0 Write your answer in radians in terms of л, and…

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Q: Solve the initial value problem y(x) y"-2y+2y=e*(6 cos(x) + 4 sin(x)), y(0) = 1, y'(0) = 4

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Q: Q2 Find the inverse matrix of: 1 3 5 2 2 -4 3 1 -2 5

A: To find the inverse matrix of the following matrix.

Q: Evaluate the following limits (a) limx→+4-4 t-9 (b) limn→9 √√t-3 x²-16 √x+4-1 (c) limx→-3 x+3

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Q: Set up but DO NOT evaluate a definite integral to find the area that represents the area of the…

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Q: Determine and state whether each of the following sequences converges or diverges, justifying the…

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Q: C₂ Derive plane equation is space. ax+by+CZ = d

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Q: | F · dỡ where F¹ = (3z, —2y, 4x), and C′ is с given by r(t) = (t, sin(t), cos(t)), 0≤t≤π Evaluate

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Q: PLS HELP ME WITH THIS QUESTION ASAP PLSSS I WILL GIVE YOU THUMBS UP **A steep mountain is inclined…

A: Let L be the shortest length of cable

Q: Show that P2(x) = f(a) + f'(a)(x − a) + c2(x − a)2 for each value of c2 satisfies the requirements…

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Q: 5 Use the formal integral calculus definition of the Laplace Thans form to find the Laplace Show all…

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Q: a) r(t) = t²i+j; t = 2 b) r(t) = (3t, 2t2) en el punto (-3,2) 3 c) r(t) = ti + t²₁+ ²² k: t = 2

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Q: Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top…

A: Given the mass density of the wire is

Q: A company has found that the number of items sold, x, depends upon the price, p at which they're…

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Q: Cryptography is a study of coding and decoding messages. One type of coding process assigns a number…

A: Given :- f(x) = 4x + 2Name :- MIRAFLORE NDIFON

Q: Evaluate Lyds, yds, C : x = t², y=t, −2≤t≤5

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Q: Estimate the area under the graph of f(x) = 49-² over the interval [-2, 6] using eight approximating…

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Q: Find the slope of the tangent line to the curve -4x² - 4xy – 3y³ = - at the point (−1, −1). -5

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Q: 5. Find the value of k (k > 0) for which the followin limit exists and (a) 1 (b) 2 3 (c) 2 (d) 3 4 O…

A: Given that We use the Fundamental Theorem of calculus part 1 If function f(x) is continuous over an…

Q: Here is a graph of the function f. -3 -2 5- ★ y 3+ 2+ 1+ -2 -3+ Use the graph to find the following.…

A: The local maximum is a point within an interval at which the function has a maximum value.

Q: 1₁ 4 tan x sec x dx I

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Q: Consider sets A and B with |A| = 12 and |B| = 19. a. How many functions f: A → B are there? b. How…

A: Consider sets A And B which |A|=12,|B|=19.

Q: Determine the slope and equation of the tangent line of the cycloid [x(t) = t - sint [y(t) = 1 -…

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Q: Sand is pouring out of a pipe at a rate of 90 cubic feet per hour. and is forming a conical pile on…

A: Sand is pouring out of a pipe at a rate of 90 cubic feet per hour andis forming a conical pile on…

Q: How would we come up with a general formula for the curve by using what we know about the…

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Q: Find an equation of the tangent line to the graph of ï³ + 3xy² + y = 15 at the point (1, 2). y=

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Q: Using the Law of Sines to solve for all possible triangles if ZB = 50°, a = 106, b = 45. If no…

A: As we know that Angle sum of a triangle is 180Formula for the sine law is given as

Q: Use the n-term test to show the following series is divergent. Σsin n=1 n² +1

A: By using the nth-term test to show that the following series is divergent.

Q: 1. (a) Write the first 4 terms of the following sequence. an = 2+(-1)" n² 1 (b) Plot the first 4…

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Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

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Q: √√√₁ + x² + y²ds, where S is the helicoid with vector Evaluate r(u, v) = 0 ≤ u ≤ 2, 0 ≤ v ≤ 2π…

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Q: If 2x² + 4x + xy = 3 and y(3) = −9, find y'(3) by implicit differentiation.

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Q: Flying against the wind, an airplane travels 5760 kilometers in 8 hours. Flying with the wind, the…

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Q: 3. 2(x-y +2) dx +x(x - 2y +2)dy = 0

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Q: Lrds x dy + y dx, where C is the arc of the curve с y = e for 0 ≤ x ≤ 6 Find

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Q: (-1,3)X y y 4x-x+8 = (4,8) 2 y=x-2x X

A: find the shaded area of the given figure

Q: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

A: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

Q: Write the equation of a line parallel to the line: 1 y=-x-4 2 that goes through the point (-8, -1).…

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Q: 7 Find the solution to the IVP: y'+1y = xyż where y(0) = 1. Use lower case c for the constant in…

A: given differential equation

Q: 1. (a) Write a Riemann sum approximating the area of the region in Figure 8.13, using vertical…

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Q: b) series converges or diverges. 8 n=1 1 (2n)! n=1 use the ratio test to decide whether the nen

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Q: Which of the following functions are solutions of the differential equation y" + 4y' + 4y =0? A.…

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Q: 7.1) SG √x+. 1 √x ₁ dx

A: To evaluate the following integral.

Q: Show the following question with different approaches: limx→∞ (4x − 3 cos(2√(x + 1)))/(5 − 6x)

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