(a) [10 points] Find the area of the region enclosed by one loop of the polar curve givenby the polar equation r = cos(3θ). The graph for this polar equation is given below.

[10 points] Represent the function as a power series. Simplify your answer completely by combining all terms within thesummation.

On January 1, 2020 Tako, Inc. purchased 10 year bonds with a face value $1,000,000 and a stated rate of 3%, paying $1,089,828. Interest is payable January 1st. The premium provides an effective yield of 2%. Tako, Inc. uses the effective-interest method and plans to hold these bonds to maturity. For the year ended December 31, 2020, should Tako, Inc. increase or decrease the Bond Investment account and by how much?

What was the two-way exchange of cultures, ideals, and diseases between the Americas and Europe/Africa are known collectively as the

Changi Co. has the following information related to income taxes. All items have been properly accounted for in its financial statements. Item Source Amount Income (Loss) Before Income Tax Expense Income Statement $5,000,000 Income Tax Expense Income Statement $1,200,000 Income Tax Payable for the year Footnote $1,500,000 Fine levied (incurred) for illegally polluting Footnote $1,000,000 The income tax rate is 21% for all years. What is Changi Co.’s effective tax rate? (Ignore any minor rounding differences)

On August 5, 2024, Famous Furniture shipped 40 dining sets on consignment to Furniture Outlet, Inc. The cost of each dining set was $350. The cost of shipping the dining sets amounted to $1,800 and was paid for by Famous Furniture. On December 30, 2024, the consignee reported the sale of 30 dining sets at $850 each. The consignee remitted payment for the amount due after deducting a 6% commission, advertising expense of $600, and installation and setup costs of $780. The total profit on units sold for the consignor is

Which document served as the first constitution of the United States?

Which voting model represents this statement: The notion that a particular party will take a clear and distinct stance on the issues and enact them as policy once elected to office.

Which Supreme Court case established the principle of judicial review?

Brown v. Board of Education overturned __________.