write the equation r=2cosΘ-4sinΘ in rectangular form

Q: Integral of (5x3 + 1 - x4) dx

A: The given integration is: ∫5x3+1-x4dx

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Q: Let giả tác reo f(x)=7r+k 5 ≤x≤ 10 *+80 *>10

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Q: Compute the surface area of revolution about the x-axis over the interval [0,7] for y = 2 sin(x).…

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 7x² +…

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Q: 3. DETAILS LARCALC11M 9.6.08 85 Use the Ratio Test or the Root Test to determine the convergence or…

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Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm² /min, find the rate at…

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Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (±2, 0), vertices…

A: Solution will be given below

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Q: Could you pls solve this question 100% correctly with all work, and if possible could you do it…

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Q: Differentiate. (Hint: Use the Extended Power Rule.) g(x) = (In x)11

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Q: exact

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Q: A 4000-lb wrecking ball hangs from a 40-ft cable of density 8 lb/ft attached to a crane. Calculate…

A: We will treat the cable and the wrecking ball separately. Consider a segment of the cable of length…

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A: Please see the below answer.

Q: Part 1: If 40 +8f(x) + 3x² (f(x))³ = 0 and f(1) = -2, find f'(1). f'(1) = Part 2: Let f(x) =…

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Q: Find the centroid of the triangular region cut from the third quadrant by the line x + y = -1. What…

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Q: All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the…

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Q: Graph the function. f (x) ) = sin (7) Use the Sine tool. First plot a point on the midline of the…

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Q: 1. Evaluate the integral fx ln(2x) using the method of integration by parts. Show t in a logical…

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Q: 7. lim x-3 8. lim x 4 9. lim x-1 x+2 x²-2x-8 x-4 x 1 1 = does not cn31

A: As per our guidelines, we are supposed to answer only one question with a maximum of three subparts…

Q: Find (1-√ 3i)^5 and write the answer in rectangular (standard) form, simplifying all fractions and…

A: Simplify it by using algebraic forrmula  (a-b)3 = a3- 3a2b +3ab2-b3 And  (a-b)2 = a2-2ab+b2

Q: 2. (Drawing pictures and diagrams) RJ has model trains set up on a circular track. There are six…

A: RJ has model trains set up on a circular track. There are six telephone poles, evenly spaced around…

Q: In Exercises 37-44, find the derivative using logarithmic differentiation as in Example 5. 37. y =…

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Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…

Q: 7. f(x) = FH - R- A- T- E- y- 3x2 x² - 3x → -

A: We have to plot graph of f(x).

Q: Use the graph of the function y = f(x) to find the given values, if possible. Estimate when…

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Q: Please provide a clear and complete solution. Answer fast for I have 30 minutes left. Thank you very…

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Q: Write the pair of parametric equations in rectangular form. x = t, y= 23/10 Oy= 0y= 22²2 5 3

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Find the extreme values of the function f on the interval (2.5, 6]. If an extreme value does not…

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Q: · 153. •1 -1 (1 — x²) ³/²2 dr

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Q: Find the differential of the fu cos 2πt 25. z=e-2x

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = interval…

A: f(x)=x-2according to mean value therem f'(c)=f(b)-f(a)b-ad dx(xn)=nxn-1

Q: Jse implicit differentiation to find an equation of the tangent line to the curve 3x³ + 2xy = 20 at…

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Q: Which of the following integrals are im- proper? I₁ = 12 13 - 1 100 1 S 1+x² 1 √x dx, dx, = ² ² = ²1…

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Q: 3 y = 2¹¹

A: Note: Since the student has mentioned to solve question number 3, so we are solving  according to…

Q: f(x) = if -1 < x < 1 if x ≥ 1 -12 (a) To determine whether f is differentiable at x = -1, we compute…

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Q: For the equation given below, evaluate y at the point (1,−1). y at (1, -1) = I e²+ 10-e¹ = 6x² +…

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Q: A rectangular swimming pool 40 ft long, 25 ft wide, and 14 ft deep is filled with water to a depth…

A: Given that , Length = 40ft Width = 25ft Depth = 14ft Depth of water = 12ft Density of water δ=62.4…

Q: The tangent line to y = f(x) at (10, 10) passes through the point (0,4). Compute the following. a.)…

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

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Q: , 4, 2,5.... 글 |||| Se 56 m " C U

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Q: cubic inch and compare your results to Jason's. Find the conversion factors to change cubic inches…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = x² cos x, n = 2₁ n = 2, P₂(x)…

A: We know that the 2nd degree taylor polynomial is given as:P2(x)=f(c)+f'(c)(x-c)+12f''(c)(x-c)2

Q: Determine the intervals on which f is increasing or decreasing, assuming the figure below is the…

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Q: x - 3 Consider the function f(x) x(x + 1)² ° options is the correct form for the partial fraction…

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Q: Consider the complex numbers z1=2∠115∘ and z2=2∠175∘.Find r and θ (in degrees, between 0∘ and 360∘)…

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