Find the capital value of a fort at a strategic location, where the annual rent is $950,000, paid in perpetuity, and the interest rate is 8% compounded continuously. The capital value is $

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

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Q: Match the function with its graph. y = tan tan

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Q: 5. r(x, y) = ln (x + y)

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² +5t + 32) sin(t)dt

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Q: Set-up the double integral for the area of the region outside the unit circle r = 1 and inside the…

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Q: find the solution of the problem with given initial value, using homogeneous equations with constant…

A: Here we have to the differential equation.

Q: 1 (2m-3)√4m (m-3) dm ans=1 arcsec( ² m - 1) + C

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Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. x¹ + x² +1+3x² (a) lim…

A: According to Bartleby guidelines I can only answer the first question of the given two questions.

Q: Q1/ evaluate. SPS dj dz dx X+2

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Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: To find: The amplitude, midline and period from the graph and further write the function. Formula…

Q: 4 Y y = 1 x = y² B A (0,0) y = x² C (1, 1) X=1 X

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

A: The objective of the question is evaluate the definite integral.

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: Solve the given differential equation by using separable variables. 1. dy x-5 = dx y²

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Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Explanation of the answer is as follows

Q: 5. y"+y= secx tan x

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: Find the flow of the vector field F(x, y, z) = zi + yj + xk through the unit sphere x² + y² + z² = 1…

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Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

Q: 5. X 9 y 45°

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Q: 5 1 1 + 2r dr

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Q: 3. Find the area of the region bounded by the graphs of y = 2 - x² and y = -x. 4.5 O 1.5 O -1.833…

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32)sin(t)dt

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Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

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Q: negative sign. 4 Use technology to help you sketch the graph of each function for 0 ≤ x ≤ 2. by=sin…

A: According to the guidelines, we are answering first three subparts. Please repost the remaining.…

Q: Consider the following pattern 9 * 1 - 1 equals 8 9 * 21 - 1 equals 188 9 * 321 - 1 equals 2888 9 *…

A: Concept: Inductive reasoning: Inductive reasoning is an approach for arriving at inferences by…

Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

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Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

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Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y = x³.

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Q: Joseph completed the two problems, asking him to explain if there is enough information to prove the…

A: Given.

Q: Two people are 8 meters apart. One of them starts walking towards north at a rate in which the…

A: This question is related to rate of change, we will solve it using given.

Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 &amp; ∆x=2

Q: Use Taylor's Theorem to find an interval [ — z, z] where the Maclaurin polynomial p2(x) - = 1 1…

A: The given function is fx=cosx and Maclaurin polynomial p2x=1-x22. The Taylor's Theorem states:  If…

Q: Part II. Calculating Second Order Partial Derivatives. Find all the second order partial derivatives…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: Q2: (A) Show that if y=csc(u), then dy -csc(u) cot(u) du dx

A: I have stated the used formula in the solution

Q: [x² x² tan-¹ x dx

A: We will use integration by parts to solve this question.

Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Given :y=3sin5x-2cos5x    To prove : y''+25y=0

Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

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Q: Q2: (A) Show that if y=csc(u), then dy du -csc(u) cot(u) dx dx

A: follow next step

Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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Q: 1 (2m-3)√4m (m-3) dm

A: Given

Q: Q1: If the function f(x) define as f: R →R such that f(x)= (x+1, x>2 x²-1, x≤2 Show that the…

A: Solution is given below:

Q: Find a plane through the points (3,4,-1), (-6,-7,-1), (8,1,6)

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Q: My - Nx N If = Q, where is a function of x only, then the differential equation M + Ny = 0 has an…

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Q: Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2…

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Q: Suppose u and v are any vectors in R³. Which of the following is not true? Ollu + vll ≤ llull +…

A: To find which of the following properties is not true.

Q: What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

A: As per the instruction, we will be answering the first question. For (12), Given: Now, we will find…

Q: nite integrals, where the graph of f is given in the figure. a. f(x) dx b. ff(x) dx d. f1(x) dx c.…

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Q: 3. Sketch the graph of a function f such that the following conditions are true: ● f(4) is not…

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Q: th which of the following is a Maclaurin series of ) _5. Given the Maclaurin series e* = Σn=0. pr…

A: Since you have posted multiple questions i can do first question as per our company guidelines…