Answer: 17.653 # Find the area enclosed by the graph of y = 10 1+x² 1 and the line y = 1.

Q: 6. Graph the parabola described by y = -4x² + 10x + 12. (Be sure to show vertex, x and y intercepts…

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Q: 15 //dx Sº

A: Topic:- application of integration

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Q: 9. Find the mass of a car antenna that is 3 ft long (starting at x = 0) and has a density function…

A: Find the mass of a car antenna that is 3 ft long (staring at x=0) and has a density function of…

Q: Please assist with the

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Q: stion4: Find the general solution for the following second-order ODE as a D-operator form: (D²-3)y=…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy2 +…

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Q: function at the given point. Use the derivative feature of a graphing utility to confirm your…

A: Here i am providing my handwritten solution

Q: ) R.J&M Company manufactures furniture such as sofas and tables. In their current inventory, a total…

A: We have to find the number of sofas and tables.

Q: dont understand what you have done in at the beggining

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: ) Calculate the indefinite integral using Partial Fraction Decomposition. X Sax- dx (x-2)(x + 1)2²…

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: imber Inc. invested profits of $225,000.00 in a GIC at 5.62% compounded semi- annually. How long…

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Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B

A: Topic = Matrix

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: Given: dydt+30y=48,  y=85-85e-30tTo Find: we need to verify the solution.

Q: Solve the boundary value problem, if you have : 4y" + 3y = 0; y(0) = 1; y(n) = 0

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Q: projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: Given: Data is given

Q: for the function below, the domain and the range is respectively y = |x|-2

A: Here we have to find the domain and the range of the given function.

Q: 121+ 18 + bh + S2 + b fl

A: We can solve this as follows:

Q: (c) Graph f(x) = sinx, 0≤x≤ 2π and also graph f-¹(x).

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2).

A: This is a problem related to vector. Based on the general formula and concept we will answer the…

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A: This question is related to compound interest, we will solve it using given information.

Q: • S/2 csc²2x√√1+cot 2x dx TT/8

A: Given integral , ∫π8π4cosec22x1+cot2xdx

Q: What are the domain, range, and period of the function f(0) = 2csc(0 + 1)₂

A: solution:-f(θ)=2cscθ+π4=2sinθ+π4sinθ+π4≠0θ+π4≠nπθ≠nπ-π4Domain: all real θθ≠nπ-π4,…

Q: C-the derivative is y=0³ e 28 cos 50 e 20 (3cos 50-20 cos 50-50 sin20) it's 02e-20 (3cos 50-20 cos…

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Q: i) The terminal arm of θ contains the point P(x,y) where P is on the unit circle. If sinθ = 1/2 and…

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Q: 5. Use the Squeeze Theorem to evaluate lim sinz 1-00

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Evaluate the following integrals 32-1 x + 2 dx +-² +1

A: SOLUTION-

Q: D-for the function below, the domain and the range is respectively y = x²/5 (-∞o, 0) & (0,00)…

A: The objective of the question is determine domain and range of given function and choose the correct…

Q: 4 for the function below, the domain and the range is respectively -2+√1-x

A: You must have idea about how to find domain and range of any function. Domain of a function means…

Q: B) Find derivative of the following function d -6tanx dx

A: Find derivative

Q: I need the third derivative for all of the following functions: f(x)= 1+X f(x) = -=-=-=-=-x 1-X €(x)…

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Q: Reproduce the given computer-generated direction field. Then sketch an approximate solution curve…

A: For the given condition we need to select graph For first condition y-6=0 That means at x=-6 the…

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = 27/12/² n = 4, c = 2 P4(x) ||

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Q: Calculate the derivative of the function below using the quotient rule. 210 y = √x + 5x8

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Q: Find the "actual" solution (x,y) for the following problem. max_x2y² subject to 2x + y ≤ 2 x20,y20…

A: Given:    2x+y≤ 2 , x≥0 , y ≥0    Max - x2y2

Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: D-the result of the following limit is 1² lim x-0 In (sec x)

A: Let's evaluate given limit.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: (d)     Given that                            u = 233 feet   at  0 feet         We have to…

Q: State the order of the given ordinary differential equation. (1-x)y" 5xy' + 7y = cos x Determine…

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Q: Solve the following initial value problem. y" + 16y=4 sin 2x; y(0) = 1, y'(0) = 0 The solution is…

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Q: )

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Q: 1. There are initially 95 mg of a decaying radioactive substance, and after 10 hours there are 68…

A: Given: Initial amount of the radioactive material= 95mg After 10 hours amount is =68 mgTo find: Half…

Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: Lucy draws a line on a coordinate plane. Which transformation will always result in a line…

A: Reflecting a given line firstly over the x-axis and reflecting over y-axis , both reflected line…

Q: C-The result of the following limit is sin 1² lim t 1-0 Oo O infinity 02 O anther answer

A: We can solve this as follows:

Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

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Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: We know that derivatives of xn is nxn-1. And d(tan-1x)/dx = 1/(1+x2).   Here i attached the solution…

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

A: