Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4 y = sinx

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: I have stated the used method in the brackets

Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: Which statements are true about matrix A if a ‡ 0 and a² #b²? b b a A = a [8 There is a unique…

A: Please see the below picture for detailed solution.

Q: You have $1,000 to deposit in the account for 1 year. Compare the following two offers. • Bank of…

A: The answer provided below has been developed in a clear step by step manner. Step: 1 A) Interest…

Q: D. using quadratic formula. 1. x2 + 5x = 14 2. 2x² +8x - 10= 0 3. 2x² + 3x = 27

A: Topic = Quadratic equations

Q: 1. Where does the graph of s= t² - 3t+2 have horizontal tangent? Write an equation for the tangent…

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: Find the time required for an object to cool from 300°F to 240°F by evaluating the following where t…

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Q: 1) Find the derivative of y with reference to < Y 블+름 2y Y

A: Here is the solution:

Q: Define R as the region that is bounded by the graph of the function f(x) = 1-2, the z-axis, a = -1,…

A: Given problem:- Define R as the region that is bounded by the graph of the function ⇒fx=1-x22the…

Q: Find the differential equations for each family of curves under the following conditions: a)…

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Q: dy dt = e¹+y +}

A: We can answer the question as below.

Q: 5-6 FUTURE VALUE: ANNUITY VERSUS ANNUITY DUE. What's the future value of a 5%, 5-year ordinary…

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Q: Evaluate the integral by interpreting it in terms of areas: [*(5-32) dx =

A: Lets sketch the graph of  f(x) = 5-3x and add the vertical lines x=0 and x=4  we get

Q: Find the Domain and Range for y= 1 1-√5-x

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Consider a revenue function defined as R(x) = At what value of x is the rate of change of revenue at…

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Q: 3 1 1 Evaluate Inverse Matrix A¹ = -1 = -1 2 2 1 2 -1 1

A: We can apply  A-1= 1/det.of A *(Adjoints of A)

Q: 2. f(t) = √t+ ³√√t

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? ysinxdx-2xcosydy=0 B There is no…

A: Check for all the options.

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: Find the values of m and n that make f(x) continuous over (-∞, ∞): f(x) = m= n= 4 x-2 mx² - nx 2x -…

A: Topic- Limits and continuity

Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

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Q: Topic: Differential Equations Please find the general solution of y'=cos2xcosy  Required: Complete…

A: I have stated the used formulas in the solution.

Q: Estimate the slope of the tangent line to f(x) = x³ at x=2 by finding the slope of the secant line…

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Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: integral: 24x² √64 – x² dx

A: ∫ 24x264-x2dx

Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 9. Z Z T

A: Z-transform

Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: Q1.In the triangle ABC, where m4(BAC)=2,AF=12, EB=14, where E, F are points between A,B and A,C…

A: It is given that: In the triangle ABC, m∠BAC=2, AF=12, EB=14, FE¯∥CB¯ Where E, F are points between…

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: ) find the following limits if exist:- x²+3x-4 x-1 limx-17

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Q: Write the interval of continuity for the function below: tan(cos(x)) log6 (7) f(x) = for 0x< 2π

A: The given function is: f(x)=tan(cos(x))log6xπ

Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: 3. Using the following table, find the average rate of change from x = 2 to 11 X f(x) -1 -4 2 4 4 8…

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: day 2x + 5x dx4 dy 3 dx' - xy = 0

A: To write down the degree and order of the differential equation.

Q: thrown

A: Please refer to the image below

Q: What is the coordinates of the point on the line y = 2x +1 which is closest to the point (2, 1)?

A: The point on the line y=2x+1 which is closest to point (2, 1) is the point through which a line…

Q: For the following function models the position s(t) of an object moving along a stright line, where…

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Q: How many cups tall is the Blue Trophy ? Show a clear path to your solution. Making a Table and a…

A: Given- Trophy is 51.6 CM1 Cup is 9.5 CM2 Cups is 10 CM3 Cups 10.8 CM4 Cups 11.4 CM To find- How many…

Q: I cos (x) sin(x) dx A. (sin²(x)) + C 2 B. (sin² (2x)) + C 2

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Q: 1. f(x) = (x (x+1 if x ≤ 0 if x>0

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Q: Evaluate the integral t3etdt

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Q: Determine r'(x) if r(x) = (4*)6. Select the correct answer below: Or'(x) = 6(4*) 5 Or'(x) = 46x (4ln…

A: Solve the following

Q: (3) fx² sin x dx (4) S (cos-14x)2 √1-16x² -dx

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first three…

Q: Solve ydx + (dy - 3dx)√(1-x²) = 0

A: