Let r = -4sin 0. a. Find the length L of the graph of the polar equation. L = b. Find the area A of the region bounded by the polar equation. A Sketch the graph of the polar equation and take it to your discussion class.

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Q: When calculing the Laplace transform of the function f(t)=t-sinh(t) is obtained as a result: A- F(s)…

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Q: An engineer deposits $900 each month into a retirement account. After 30 years, the balance in the…

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Q: In ( If t(x) = In x 4 cos x 2x²+8x+6 t'(x) = find t'(x). Provide your answer below:

A: t(x)=ln[x5/4+8x+6)]

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Q: Find the indicated term of the sequence. The eleventh term of the arithmetic sequence-10, -14, -18,…

A: The arithmetic sequence is given byTo determine: The eleventh term of the arithmetic sequence.The…

Q: When calculing the inverse Laplace transform of the function F(s)=6/s^5 is obtained as a result: A-…

A: To find the inverse Laplace transform of the following function.

Q: a = 6, b=1, C= 20° C≈ (Round to two decimal places as needed.)

A: a=6b=1C=20°

Q: (j) Evaluate the following line integrals, where C is given (i) fcds where C: x = t³, y = t¹,1 ≤t≤4

A: Consider the line integral

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A: The angle of inclination from the base of Skyscraper A to the top of Skyscraper B is approximately…

Q: - Eliminate the parameter to find the Cartesian equation for the curve represented by the parametric…

A: Given that the parametric curve

Q: 2 Find the average value of the function f(x)=x²-11 on [0,3]. 2 The average value of the function…

A: Given function is f(x) = x2 -11 To find :- Average value of function on [0,3]

Q: Suppose the temperature in degrees Celsius over an 8-hour period is given by T(t) = − t² + 3t+37 a)…

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Q: Compute the area of the surface obtained by rotating the curve y = (1-x²/3)3/2 from x = 0 to x = 1…

A: Rotating the curve y=(1−x2/3)3/2 from x=0 to x=1 about the y-axis.y=(1−x2/3)3/2Chain…

Q: Let f(2)=√4z² + 6z Determine the derivative of f. f'(z) =

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Q: 19. A long rectangular sheet of metal, 11 inches wide, is to be made into a rain gutter by turning…

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Q: find the differential d(e5x + x5)

A: We have to find the derivative of the given function.First let's define the derivative rules-

Q: Find the area of the region described. The region bounded by y = 4x³ and y = 100x

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Q: Given the equation: x² - 8x + y² + 4y = 1 Use completing the square method to convert this equation…

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Q: Use the given zero to find the remaining zeros F(X)= x^4 - 21x^2 - 100; zero: -2i

A: Here given function asAlso given as x= -2i is a zero of function then x=2i is also zero of…

Q: Evaluate the indefinite integral. Integral = / 7 dx x ln(6x)

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Q: Given f(x) = 5x + 3 and g(x) = x² - 4. Find the composition fog(x)

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Q: Evaluate the integral ſ Otan ¹() + C O sin ¹() + C O sin ¹()+C None of these 1 (25-x² dx

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Q: = p'(x) if p(x) = In 5x2+x+6 x 5 tan x

A: p(x)=ln⁡(5x2+x+6x3/5tan⁡x)Using logarithm propertiesloga⁡(mn)=loga⁡m−loga⁡nloga⁡(mn)=loga⁡m+loga⁡n

Q: -1⁰+ Given the graph of f (x) shown above, evaluate lim f (x). X-3 Select the correct answer below:

A: given graph of f(x) to find the limit

Q: Use a calculator to find the value in radians of the following expression rounded to two decimal…

A: By using a calculator to find the value in radians of the following expression rounded to two…

Q: 3. Find the area of the surface obtained by rotating the given curve about the x-axis. Leave your…

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Q: The 1280 students of a high school are having an election for Homecoming King. The candidates are…

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Q: Estimate the area under the graph of f(x) = 25-² over the interval [-1,4] using four approximating…

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Q: Both first partial derivatives of the function f(x,y) are zero at the given points. Use the…

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Q: A(n) 11-inch sunflower is planted in a garden and the height of the sunflower increases…

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Q: Find the angle between the vectors. u= -2i+4j, v = -2i+6j-5k The angle between the vectors is 0…

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Q: What is the first derivative of t(x) = arccsc(x4). Sorry, that's incorrect. Try again? t'(x) = 7 4 1…

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Q: Use the Root Test to determine whether the series converges absolutely or diverges. Ma 8 k=1 1 In…

A: The Root Testlimn→∞|an|n=ρIf ρ<1 then ∑n=1∞an is absolutely convergentIf ρ>1 or…

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Q: Given the graph of f (x) shown above, evaluate lim f(x). X-2 Select the correct answer below:

A: Given graph of function

Q: Convert the rectangular coordinates to polar coordinates. a. (-2,2) b. (4,-7)

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Q: 10. The function D(h) = 6e-0.4h can be used to determine the milligrams D of a certain drug in a…

A: Question No. (10):The function can be used to determine the milligrams D of a certain drug in a…

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A: Given that a function of x and we find this integration by using general property of integral.

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Q: For the polynomial function f(x) = (3x² + 5)² (x² + 7), answer the following questions. (a) List…

A: Part (d):Given: To Find: To determine the end behavior; that is, to find the power function that the…

Q: Sketch a graph of the pair of parametric equations. Mark the direction of the graph by using small…

A: Consider the equations

Q: 2. Consider the curve y = sinx - on the inteval 0 ≤ x ≤ π/2. (a) Sketch the curve and shade in the…

A: (2)The curve is given as, on