d. (4230°)-(222259) (2/140°) (3/300°) (Express your answer in polar form)

Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

Q: Q₂: Find the area of the region insid the circle v=1 and the Curve r= 2 sin@ (use double integral)

A: Given r=1 and  r=2 sinθ The formula to calculate the area of the region inside the circle is:…

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A: We have to find derivative

Q: Solve the D.E ý - y = x لم

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Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

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Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + = t³k (a) r'(t) (b) r"(t)…

A: Let's find.

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A: Solution is given below:

Q: and the magnitude of the given vector. (-4, 4, 7)

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Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: An irrigation channel is constructed by bending a sheet of metal that is 3 m wide, as shown in the…

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Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

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Q: Use the ratio test to find the radius of convergence of the power series R = (If the radius is…

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Q: Evaluate F. dr along the curve C if F(x, y) = (x² + y²)¯³ (xi+yj), с and C: r(t) = et sin ti + et…

A: F.dr is integrated along the curve C.

Q: est to the point 2, 2

A:

Q: If In a 2, ln b = 3, and ln c = 5, evaluate the following: = (a) In (10-2) = b-4c² (b) In √6-³c-²a-1…

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Q: Homework 11 Parametric: Problem 3 Suppose a curve is traced by the parametric equations as t runs…

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Q: Let f(x) = Find the equation of the tangent x² +1 line to the graph of f'(x) at the point where x =…

A: We have to find equation of tangent

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Q: A table of values of an increasing function fis shown. X 10 14 18 22 26 30 f(x) -11 -5 -2 1 5 Use…

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t) ||³ = r(t) = e³ti + e-tj to find k(t).

A: By using the formula kt=r't×r''tr't3 to find kt.rt=e3t i+e-t j

Q: 4. sinx 1-sin² x dx

A: integration

Q: Use Green's Theorem to evaluate the line integral √(x - (y - x)dx + (2x - y)dy for the given path.…

A: Let's find.

Q: Find the limit. Use l'Hospital's Rule wher lim [In(x⁹ – 1) – In(x³ – 1)] - - *-1*

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

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Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: 16. Let u = ln t, t = 2r and r = √w. Find and simplify du dw in terms of w.

A: As per Bartleby guideline,  we have answered only the first question. Please repost mentioning the…

Q: S [[x+1]], Determine iF f(x) = if x ≤ -1 2 tanh (H), ip-IxO (x+1), < <) In [cash (x+1) + sinh…

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Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

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Q: [√x (x - 5)dx

A: ∫xx-5dx∫xx-5x dx∫x32-5x dx

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Q: Suppose you deposit $1000 at 7% interest compounded continuously. Find the average value of your…

A: To find out the average value of account during first 4 years.

Q: Suppose that f(x) and g(x) are given by the power series f(x) = 3 + 4x + 3x² + 2x³+... and g(x) = 6…

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Q: 2. y = tan (cosh x) (sin x)(sech x) secx (use logarithmic differentiation)

A: As per the requirement of the student question number 2 has been solved. Here we need to calculate…

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Q: What are the cylindrical coordinates of the point whose spherical coordinates are (3, 5, 1)? r = 0 =…

A: Given: spherical coordinates ρ,θ,φ, here ρ=3,θ=5φ=π6 To find : cylindrical coordinates r, θ, z

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

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Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: d d Calculate[ri(t) r2(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: = ||r' (t) x r' (t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7 sin(9t)j + tk Use the formula…

A: find curvature