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Q: Which of the following integrals would yield the area of the region below? 2 x=y 3 1 0 x = 8y 00 8

A: A detailed solution is given below.

Q: 1) (y ²-1) dx - 2y (²+x) dy 2) y² = x €²9-x² =C

A: See the details solution in below

Q: Tabitha had to pay her friend $1,200, 4 months ago and he has to pay $670 in 4 months. If her friend…

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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: Test the convergence and divergence of the following series, find the sum of convergent series.…

A: The given series is ∑n=1∞3n51-n

Q: How much work is required to pump all the water over the top of a full cylindrical tank that is 2 m…

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Q: What function will you differentiate to get each function? 3. g(t) = -3t2 + 12t - 17

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

Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

Q: the convergence and divergence of the following S vergent series. b) Σ=13*51-n

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

A: SOLUTION-

Q: 1) y" + 4y = 4 sec (2x) 2) y" + y = csc(x)

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Q: Question 3 Given the following polynomial equation y = 12x - 4x3 Identify the x-coordinates of the…

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Q: dN (t) dt = g(N(t)) = a · N(t) · ( 1 · (1-N()) 9 M N (0) = No > 0,

A: We have to find the logistic curve .

Q: (2x² - x - 1) x³ - x² ; 2 dx

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Q: Q1) Test the convergence and divergence n 1) {( {1}}=1 n+1 210 – Vn 2) Σ n2+n+2 n=0 8 6n² 3) Σ n³ +1…

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Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: This is a problem related to rate of changes. Based on the general formula and concept we will…

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x+34) dx +(y-x)dy = 0

A: To solve the given differential equation

Q: Find the derivative of the function f(x)=(sqrt(x-1)^2))/x^2+1)

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Q: Numerical Integration. Use the table provided for the integral to find the given app Round each…

A: Solve the following

Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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Q: What is the area bounded by: 2 x² = -9y and y + 1 = 0

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Q: a) Let an be an arithmetic sequence. If as 94, a6 = 85, find the common difference d and the formula…

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Q: For the function f whose graph is given below, state the following: y a. lim f(x) 818 b. lim f(x)…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve CO (z-2)² 3ln 2-2-¹³ +C In | x − 2 − ₂ + C None of the Above 2 ln | x − 2 + + C

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Q: 1. Find the trigonometric Faurier Series of the function ..defined... by... f(x) = x+# if π..<X.…

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Q: d- Find the local maxima point and Saddle point for f(x, y) = x³ + 3xy + y³ Find the dy nt (11) for…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: What are the various applications of the dot product?

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Q: Numerical Response #7: The arc length of a circle of radius 15 cm with a sector angle of 110°,…

A: We have to find Arc length of given circle.

Q: Cameron invested $2,890 for 225 days at a simple interest rate of 3.75% p.a. How much more or less…

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Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: 1000 I(t) = 1 +999e-.6t where t is in days and I represent the number of infected individuals. 1(t)…

A: It=10001+999e-0.6t…

Q: egrals: 12+5-6 2.J xinxd

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Q: In(x² + 4)dx

A: Let's solve given integration.

Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

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

A: topic-  algebraic operation

Q: Which of the following is an improper integral? Of O f³₂ 2x-²dx O Soe*dx O

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Q: Find an equation for the line tangent to the graph of at the point (a, f(a)) for a = = 2. y = f(x) =…

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Q: 6. Compare and contrast the properties of the 1st Derivative of various functions with its 2nd…

A: The first derivative is the slope of the function, and the first derivative test is used to find the…

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: Use the p-test to decide if the following integrals converge or diverge. If it converges finds its…

A: Topic:- application of integration

Q: 9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The…

A: According to Bartleby guidelines I can only answer the first question of the given problems

Q: (x5+2x² + 1)dx x3 x³ - x

A: We know that integration of xn  is- xn+1/n+1 + C . Here C is integral cosntant.   Here i attached…

Q: Find a function f such that for any real number x such that 2√x + tan-¹x In csc x [₁₁ (1) dr = 3 +…

A: To find a function f such that for any real number x such that ∫-1xft dt=2x+tan-1 xlncsc x+π

Q: Let f(x) = 3 sin(x) + 2 cos(x). Find the following: 1. f'(x)= 3 cos(x) - 2 sin(x) 2. f'(5)-|

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Q: Consider the following matrices: 2 A = [23] 24 B = -1 -⠀ -⠀ C = 0 3 2 Perform the following…

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Q: 11. Ay≈ f'(x) dx III. y2y₁ f'(x) dx - Oll O III O None of the choices OI

A: Using definition of derivative

Q: SHOW FULL SOLUTION. A semi-circle is placed on top of a rectangle such that the diameter of the…

A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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