8. Show that the volume of a cone with height h and radius a equalsa²h using 3 h iterated integrals in cylindrical coordinates. (Hint: Use the inverted cone z = √x² + y².) a

Q: Find half-range sine and cosine expansions of each of the following functions: 2kt 0sts p/2 15 f(t)…

A:

Q: 11. The community center sold 346 tickets for a play. An adult ticket cost $8. A student ticket cost…

A: No of adults and students

Q: Find the area of the triangle with vertices (0,0), (2, 0) and (2,2) by computing a double integral…

A: As per the question we are given a (right-angled) triangle with vertices at (0,0), (2,0), (2,2) And…

Q: Determine whether the series Σn=1 3n+¹ ln(n+1) is convergent or divergent.

A:

Q: Problem 2. (a). Evaluate the surface integral I = ffs x ds, where the surface S is represented by…

A:

Q: Now, solve the following problems involving radiation: 2. A man has been exposed to 1 mGy each of…

A: Please check the next step for details

Q: 1. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

A:

Q: Find T(t) and N(t) at the given point. r(t) = 6 cos(t)i + 6 sin(t)j + tk; t = 2

A: This is a problem of differential geometry.

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given,The average nunber of bananas per day(λ)=52mean(μ)=λ=52standard deviation(σ)=52

Q: a. What is the probability that exactly 10 are from their elementary school? b. What is the…

A: Given:  In one of the biggest schools in Metro Manila, 80% of their high school students are known…

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

A: Given :Volume = 32 ft3

Q: 13. Solve the inequality: 8³x+5 < 32*+7

A:

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: 19. For what value of h will the line y =-2x +h be tangent to the parabola y = 3x +4x-1? (4T) b)…

A:

Q: Sixteen toothpicks are arrañged as shown. Remove four toothpicks so that only four congruent…

A: We need to remove 4 toothpicks so that we get 4 congruent triangles. So, we remove toothpicks one by…

Q: If BC = 5x + 0.75 and XY = 3x – 0.25, what is the length of BC ? (Sx +0.75) (3x-025)

A: if all three angles of two triangles are equal then we say they are similar to each other and also…

Q: 1. Lori Ann Marie wants to know where you will be when you take: 3 /5 of a CHICK, 2/ 3 of a CAT, and…

A: Take the defined fraction of words for each and then add them.

Q: Solve the following problems using a Venn Diagram. 2. In a certain university 2,191 students are…

A: First, let's draw a Venn Diagram using the given details.