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A: This question can be solved using the concept of relation between rectangular and polar coordinates.

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A: Use the  Alternating Series Estimation Theorem and solve the problem.

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Q: y a+h Figure 1.3.2: Plot of y = f(x) for Preview Activity 1.3.1. b. Construct a right triangle whose…

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A: use slope formula for finding the slope of f(x).and value of c

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A: Solution is given below:

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A: We have to find derivative

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A: derivative

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A: sketch the graph using value of theta.

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A: The given question can be solved as shown in step2.

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A: Given problem:-

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Q: Find the area of the region between the graphs of f (x) = 3x3 – x² – 10x and g(x) = -x2 + 2.x, %3D -…

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A: Answer is in step 2.

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A: Given

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Q: 10 11 Suppose f(x) dæ = 6 and | f(x) dæ = 5. 10 11 Then f(x) dæ -

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Q: Find the value of integral / (22 + y + z)ds, where C is parmeterized by 7(t) = (5 cos(2t), 5…

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A: We have to calculate level of production change .

Q: Preview Activity 1.3.1. Suppose that f is the function given by the graph below and hat a and a + h…

A: Given, y=f(x) is the function with the graph. a and a+h are the input values(x-values).

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Q: ded above by surface z = 10 – x2, bou e planes y = 0 and y = 3.

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Q: 1. The curve xy=3 is revolved one revolution about the x-axis between the limits x 2 and x= 3.…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: c) Determine a pattern for the value of the even, (2k)", derivative of f(x) at x 37T th d) Determine…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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Q: 38. 4y" + 8y' + 3y = 0

A: Question no.38 solved

Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: Use the Product Rule to calculate the derivative for the function h(t) = (t² + 3) (t + 8) at t = 2.…

A: Product rule:d(uv) = u v' + v…