A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is 25 square inches. How many slices does the cheesecake have? slices

Q: Use Simpson's Rule and all the data in the following table to estimate the value of the integral S y…

A: The data of x vs y is given as x3456789y-8-5-11469

Q: 2 √100-912 found that the antiderivative is 2t + C, you would enter 2t. I Find the indefinite…

A: As you posted multiple questions I need to solve only first question.

Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

A:

Q: What is the rectangular equivalence to the parametric equations? x(θ)=4cosθ+2,y(θ)=2sinθ−5, where…

A:

Q: 2- Chang the order of integration and evaluate √2-x2 X √x2 + y²

A:

Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

A:

Q: the

A: Solving the problem

Q: We have determined that if we let u = sin(0), then du = cos(0) de on the interval sec¹(8) cos(0)…

A:

Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

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

Q: Determine the following product. [2 -2 5 2] 3 H = [ 1 ]

A:

Q: x²-49 X-7x²-7x 2. Evaluate lim

A: To evaluate the following limit.Note: Since the student has posted multiple questions and does not…

Q: In exercises 13-15, let s be the hemisphere2 + ² + 2 = 4, with z ≥ 0, and evaluate each surface…

A:

Q: Find an equation for the line tangent to the curve y = (√x - 9)(x³. 6) at x = 1.

A:

Q: Evaluate the integral. te⁹t dt Step 1 Recall the formula for integration by parts, which states that…

A:

Q: Find the average value over the given interval. y = 4x + 4; [3, 7]

A:

Q: If you were given a conic section in general form, how would you determine what type of conic…

A:

Q: Consider the curve given by x³ + y³ = xy² + 1. Find the slope of the tangent line to the curve at…

A: given

Q: Calculate the iterated integral. [1³ In(y) dy dx xy

A:

Q: A large tank is filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

A:

Q: Determine the value of h such that the matrix below is the augmented matrix of a linear system with…

A:

Q: Suppose lim f(x) = = x→2 1/2 4 -5, find lim x→2 x²| ƒ(x) + 6 x - 1

A:

Q: Use Lagrange multipliers to find three positive numbers whose sum is 27 and the sum of whose squares…

A: To solve this problem using Lagrange multipliers, we need to define an objective function and a…

Q: List the points in the graph in the interval -2<x< 8 at which the function is not differentiable. -2…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) [s sin5(t) cos6(t) dt

A:

Q: A solid is formed by revolving the region bounded by the graphs of y = 5x, y = ln (1x), y = 7, and…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: If f(x) = x¹ +3, g(x) = x − 9, h(x) = √x, then fogoh(x)=

A:

Q: If u = (-3.9, -0.8), (0.2, 2.8), and w = (1.8, -4.9), find the following. ū. (v + w) V.V 2 (u. *) =[…

A:

Q: 2) Apply the divergence test and state what it tells you about the series & [KO K² + k + 3 3K²+1

A:

Q: The DNA molecule has the shape of a double helix (see the figure below). The radius of each helix is…

A: The radius of each helix is about 10 angstroms(1 Å = 10–8 cm)Each helix rises about 34 Å during each…

Q: 30. f², (3u-2)(u + 1) du

A:

Q: Explain why the following justification is incorrect: To evaluate the limit of the function x² + y²…

A:

Q: The position of a baseball (in ft) is represented by r(t) = 55√2ti + (4 + 55√√/2t - 16t2)j. Find the…

A:

Q: 14. Find the equation of the tangent to the following functions at the indicated point. a)…

A:

Q: 15. 13. fcot³ x 9-12, evaluate the integrals. 11. ftan² x sec¹ x dx tan x sec² x dx In Exercises…

A:

Q: Consider the following piecewise defined function ae*-b, x < 0 ax² +b, 0≤x≤2 a(x − 3)³ + b(x − 4) +…

A:

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

A:

Q: The terminal ray of angle drawn in standard position passes through (2, -3). What is the value of…

A: given the terminal ray of angle  drawn in standard position passes through (2,-3)

Q: Given the graph of f, what are the point of inflections? check all that apply 1 X=1 x=2 x=3 X=4 x=5…

A:

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

A:

Q: (5). Find the area of the largest rectangle that can be inscribed by the region bound by the 4-x…

A:

Q: Evaluate each expression based on the following table. x −3 −2 −1 0 1 2 3 f(x) 2 3 5 2 −2 −1.5 1.25…

A:

Q: A winch on a sailboat is 13 in in diameter and is used to pull in the "sheets" (ropes used to…

A:

Q: Discover all unit vectors that have an angle of T/3 with the positive section of the x-axis.

A:

Q: d dx [T"]

A:

Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

A:

Q: In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline…

A: In a baseball game, a batter standing at home plate sees the second baseman standing on the baseline…

Q: What is the limit lim x→3 √x³ - 2-5 x - 3 3 27 10 9 10 +∞ Does not exist ?

A: Given

Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: You have the following vector : v= You must determine the direction and length of it. You must also…

A: