(a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

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A: If is a function and then we say  if for any  there is  such that .

Q: 1. 003 400 050

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A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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A: The given function

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A: If .To find .

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Q: 6. A = 4 7 3 6 b = 10 5

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Q: If f(x) is continuous and ſ² f(x)dx = 225.1, what is b [. Round your answer to two decimal places.…

A: If  is continous and , to find .

Q: ㅐㅍ 3 1/2 S (2+4C05(0)) ² do 2 싫어

A: To evaluate the following integral.

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A: We will find the value of acceleration.

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Q: 5. Given: y = cos(x), x =,dx = −0.02 (a) Find the differential dy. (b) Evaluate dy for the given…

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Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Find the value by writing the argument using the numbers 2 and 10 and using the values log 2 =…

A: The Logarithmic Formula is given as follows

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A: Given that  then we have to find the value of  at x = 1.

Q: Find the particular solution of the differential equation x²y" 5xy' +9y=9x (x > 0) satisfying the…

A: To know about Euler's equation:-To calculate complementary factor:-

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Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

A: Find the values of the other trigonometric functions given the following conditions. a. sin theta =…

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Q: Find the differential of each function. (a) y = dy U 44 U-4 (b) y = (1+r5)-2 dy =

A: Givena) b)

Q: Differentiate. f(x) = In f'(x) = X 6

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Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

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Q: Solve e³t = 2000 for t. t≈ (Round to three decimal places as needed.)

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Q: 3. Solve the DE dp dt Р R(1-P) M = KP 1-- if k, M and m are constants.

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Q: Determine the derivative for each of the following equations. dy dr a.y=sin (8 x) ⇒ b.y = 8 cos (z)…

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Q: Find the sm lest nu approximation of the series 10-4. er n of terms needed to obta an ∞ 17ke 0.49k2…

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A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

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Q: Solve e³t = 1800 for t.

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