Sketch each of the following cardioids. Then compute the length of each curve 1. r = 2+2cosθ

Q: Estimate the slope of the line. y 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 X Ⓒ

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Q: S t Vat²-b dt

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Q: For DAY 1 17. Evaluate each relation for (a) x = y² +3. (b) y = x² + x 3 [(c) y = x² + x x-axis,…

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Q: Consider the function f(x) = 2√x + 7 on the interval [1, 7]. (A) Find the average or mean slope of…

A: The objective of this question is to find the average slope of the function f(x) = 2√x + 7 on the…

Q: -9e-9x (e-9x + 5)5 This can be transformed into a basic integral by letting Consider the indefinite…

A: We have, the given integral as

Q: Find F(t) such that F'(t) = sec³ (t) tan³ (t) and F (3) = 0.

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Q: Compute the value of the improper integral. (If the integral diverges to ∞, type oo; if it diverges…

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Q: Find the length of the curve r = sin ³ (0/3), 0≤0 ≤T. The length of the polar curve is. (Type an…

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Q: 5. Find the length of the curve r = 02, where 0 <0 < , in the polar coordinate system

A: The given curve equation   The length of the curve for   over the interval  is

Q: Differentiate y with respect to x given y = √x(2+bx³) 7bx3+2 2√x 0 36х 2 6bx+2 Vx 6b5x+1 2

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Q: 4. Write an equation for line l if line I passes through points (3,3) and (4,-1)

A: Formula for the equation of line is given as

Q: Converge? use the series Convergence/ divergence test as evidence. If it converges find its sum. 8.…

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Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

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Q: Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers…

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Q: Question 3 Determine whether the series converges or diverges. State the test you used. Show all…

A: According to Bartley guidelines we solve only three parts of the question, repost the next part of…

Q: Find (a). the square roots of z = 5 + 12i (b). the 8th roots of unity.

A: We have to find the square roots of z = 5 + 12i and the 8th roots of unity.

Q: 6 Find the area of the region bounded by the curve y=; -, and lines x=0, x=4, 16+x² y=0.

A: We have given a region that is bounded by curve  and lines x=0, x=4, y=0.We have to find the area of…

Q: Find the critical points of the following function. f(x)= 3 Xx 3 - 9x Select the correct choice…

A: The given function is; f(x)=/3 - 9x

Q: Given h(x)= x sinx Find the equation of the tangent line  at X =  pi/2

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Q: (d) k=1 5k 8k+6

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Q: 1. Evaluate the following definite integrals: √₁²x² (x³ + 1)³ dx B b. dx 3x² dx

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Q: A graph is defined by the equation 3x²-√√2xy + y² =3. Part A: Find dy dx Part B: Find the equation…

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Q: 2z Solution for 3* 9 ²² * 27 ²-1 a) -1/2 b) 1/2 c) 1/7 d)-1/7 e) 1/9

A: I have appended the formula used in the solution procedure

Q: Use the Mean value Theorem to prove that 1/9 ≤ √66 - 8 ≤ 1/8

A: Use the Mean value Theorem to prove that

Q: 4. find the area between the curves f(x) = 0 and f(x)=x²-5x + 6 x

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Q: 4x+9y+8z Find the gradient vector field (F(x, y, z)) associated with the potential function (x, y,…

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Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

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Q: 3. Find the area of the region enclosed by the graphs a. y=3−x² and y= −2x b. y=x²-2x and y=x+4 und

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Q: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

A: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

Q: [x² Arctan(x) dx

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Q: Find the indefinite integral. Check your result by differentiating.       8x dx

A: The objective of this question is to find the indefinite integral of the function 8x with respect to…

Q: 3 Let f(x)= x³ - 2x+: Calculate by definition f'(1). X

A: given function to find the derivative

Q: Given that n=0 1 1 X n=0 find the power series for X = = to x = ∞ " n x" with convergence in (-1,…

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Q: U = Identify u and for the integral du dx 1 / ² (du) a dx || du dx (4 - 6x²)4(-12x) dx dx.

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Q: Use a double integral to find the volume of the tetrahedron bounded by the coordinate planes and z =…

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Q: Which is most likely the graph of the polynomial function f(x)=-3x¹-30x³ +639x² +3834x-35640? Press…

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Q: - Some books say that / csc(x) dx = Ln|csc(x) − cot(x)| + C, while other say that [csc(x) dx =…

A: The given integral is

Q: 4. It costs C(x) = 112 + 1.4x dollars to produce x Specialty Hair Ribbons. To sell x Specialty Hair…

A: It costs  dollars to produce x Specialty Hair Ribbons.To sell x Specialty Hair Ribbons, the price…

Q: The following table records some values of f and its derivative. X 0 1 f(x) 2 0 f'(x) -1 4 2 1 -2…

A: The objective of the question is to find the derivative of the function (f(x))² at x = 5. We are…

Q: Suppose y= f(x) = f(x)=√17-In(x) (a) Find the value X = xo such that y = f(x) = 4. (b) Find the…

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Q: 3x³ +18x² +15x x +5x 2 (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes.…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: find the equation of tangent line for the parametric curve

Q: 2 a = a₁ = -18 а,

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Q: It is known that function f is an increasing function that satisfies f(-1) = 4 and f'(-1) = 2. Use…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F = (9x…

A: Given that,

Q: Use multiplication to find the first four non-zero terms of the MacLaurin series for the given…

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Q: 12. Isolate X. Answer with this structure: 0<x<1 7 itanu 6 <8-X < 20 lu

A: 6&lt;8-x&lt;20

Q: Find an equation of the following curve, assuming the center is at the origin. Find the foci and…

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Q: A rectangular aquarium having a length of 4 meters, a width of 2 meters, and a height of 3 meters is…

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Q: d) F(x)= - sint dt

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