Question Define R as the region bounded above by the function f(x) = ² and below by g(x) == between x = 1 and 2 x = 2. Write the definite integral that describes the volume of the solid created by rotating R around the line y = -2.

Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

A: Ode

Q: Use the spreadsheet to answer the following questions. 83 1 2 Put m Hein 5 x fx 57 C GP Answer: B 47…

A: Here, not that 82 value is at the intersection of the B column row 2.

Q: Determine the values of k such that the function below has an inverse function. (Select all that…

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Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: (2cot 2x² - 2e²) dx A. 1/cot 2x³ + 2e²+ C 2

A: To find out the integration of the given function.

Q: 4) 10 x-31=-40 31 + 2x=46 깃

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

Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: Using continuity, evaluate the limit: - 1 sin(z + sin(x)) lim X→ -

A: Topic- Limits

Q: Match the properties of a circle in Column A to the Equation of the circle in Column B. Then pick…

A: Let's analyze the column A first. (1) Center at (3,-3) , radius of 4 Now we know that the equation…

Q: Find an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

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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: (30) -3≤x-3y≤6

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

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

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Q: 1. fx² sec x³ tan x³ dx

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Q: (1) f dx x3-2x² (2) S dx x²√ √9-x² (3) fx² sin x dx

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Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x)…

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Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

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Q: Find a parameterization xy-plane, centered at the origin, clockwise. x (t) y(t) z(t) - = for the…

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Q: Find the arclength of the curve r(t) = (9√√/2t, et, e-9t), 0 ≤ t ≤ 1

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Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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Q: Write the interval of continuity for the function below: tan(sin(x)) log3 (7) f(x)= = for 0 < 2T

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Q: fcos (x) sin(x) dx -(sin²(x)) + C (sin² (2x)) + C A. B. C. - (sin² (2x)) + C 2 D. (sin²(x)) + C 2

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Q: 5-5 TIME TO REACH A FINANCIAL GOAL. You have $33,566.25 in a brokerage account, and you plan to…

A: Let's find time to reach goal.

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: Given the integral from 0 to x of the function e-x^2dx: Find the summation form of its Maclaurin…

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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 the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: 6 y² +9' represents the volume of the solid of revolution formed by rotating Q about the x-axis?…

A: Here we have to choose the correct option.

Q: Show the complete solutions. Family of horizontal parabolas whose h to k ratio is 2.

A: Let's find differential equation.

Q: Determine the possible pairs of values (a, b) which make the function below continuous everywhere.…

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Q: Prove that: В(х+у) тв (хун) = в сху) let П (х+1) =Х ГСХІ

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Q: Find the length of the curve x = 5-t, for 1 < t < 2. length = y = 3-t, z = 3t 5,

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Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

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Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using E Method. dy -= y sin³ (t)…

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Q: Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

A: We can find the answers in the below steps

Q: A population is known to grow exponentially. If it starts at 100 and is 150 after 3 months when will…

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Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

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Q: Find a vector parametrization of the circle of radius 3 in the xy-plane, centered at (4, -1),…

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Q: if f(x) = %79.1 x²√In x² x -. find the derivative of this function f'(x) A. f'(x) = - 1 3:16 1-In x²…

A: The given function is; f(x)=x2 sqrt(ln x2)/x.

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

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Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

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Q: 4 3 1 -1 -2 -3. -5 п/2 25 3п/2 2п

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Q: = Suppose that f and g are functions where f(- 9) = -5 and g(0) be on the graph of y = f(g(x))?…

A: We have, f-9 = -5 g0 = -9 The function is, y = fgx                                .............1 To…

Q: (C) Find the domain and range of: 1) y = x+1 . 2)y=v1-x²,3)y = x² - 2

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Q: 4. f(x,y) = x² + 3xy x-24

A: We know that degree of each terms are equal then given function is called homogeneous function.…

Q: Which of the following equation is a variable separable DE? 1. (x+x2y)=dy=(2x+xy2)dx…

A: Ode