Find the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis. y-Inz, y1, y=2, x=0

Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

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Q: 2. Evaluate the following limit (tabulate). 4- x² lim x→² 3 − √√√x² + 5 O It does not exist O -1 O…

A: Solve the limit

Q: Find the solution of the given DE. 2. y' + 2xy = 2x³ ;y(0) = 1

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Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: (-7)=|

A: Topic:- derivatives

Q: Find the area of the parallelogram determined by v = (2,0,0) and w = (0,-1,-4). (Use symbolic…

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: let   p=amount of bacteria present   thendpdt=growth rate

Q: 1. Let f(x, y) = 4√√xy² + 4y +exy. a) Use local linear approximation to estimate 4√(0.1)(0.9)² +…

A: If f(x,y)  is a two variable real -valued function whose partial derivatives fx(x,y) and fy(x,y)…

Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3, 4), and…

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Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

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Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

Q: Determine whether the function is even, odd, or neither f(x)=tan(x) cos(x)

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Q: f(x) is graphed below. Find each value. 10+ 9 8 7- 10-9-8-7-6-5-4 f(x) = lim 2115 lim f(x) = lim…

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Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: Consider the functions f(x) and g(x), for which f(0) = 5, g(0) = 6,ƒ' (0) = -5, and g'(0) = -2. f(x)…

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Q: Graph the function  f(x)= -2x^3 + 4x^2 + 2x - 4 Please name any x-intercepts and y-intercepts in…

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Q: + + 22. (1+ ln x) dx + (1 + ln y) dy = 0. 23. xdx −/ ² ・x² dy = 0₁ P). ANS. x ln x + y ln y = c.…

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Q: Given the demand equation x + -- 20 = 0, where p represents the price in dollars and x the number of…

A: given demand equationx+p8-20=0

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (15,…

A: Ques 1 ∫015gx-fxdx This integration result in area of REGION 1. Hence answer is 11.

Q: 1. Given the algebraic function x² - xy + y² = 3 b. Find y 3xy - 3y (2y + x)² Option 1 3xy + 3y (2y…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) =…

A: Understanding of function and how to calculate its derivative is required in order to solve this…

Q: K Find lim h-0 f(x+h)-f(x) h f(x) = -8x-7, x=2 The lim f(x+h)-f(x) h for the given function and…

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Q: 23. 3y(x² − 1) dx + (x³ + 8y − 3x) dy = 0; when x = 0, y = 1. ANS. xy(x² − 3) = 4(1 — y²).

A: Given differntial eqution, 3yx2-1dx+x3+8y-3xdy=0                      ...(1)

Q: Solutions

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Q: Calculate v x w = (u1, U2, U3). v = (7,5,2) w = (-6, 6,-5) (Give your answer using component form or…

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Q: Calculate y" and y". 8ex X y(x) = y" (x) = y"" (x) = [

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Q: 12x2 +2 (+x)dx

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Q: Find the equation of the least squares line. Two different tests are designed to measure employee…

A: This question can be solved by using the values of x and y given in the table

Q: Calculate the scalar triple product u (v x w), where u = (1,5, 0), v = (-8, -9,9), and w= = (4,…

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Q: c) h(t): 5t e (t² + 1)^

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: given that,y=x5(1+2x)7 we know that, derivative formulas: (uv)'=uv'+vu' ddx(xn)=nxn-1

Q: 2 7. So 2x (x²+6)³ 8. f(1+)³ (-1)dt dx

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Q: Evaluate the integral. Answers should be in exact form (i.e., do not use a calculator to get a…

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Q: b) H(x) = (3 sin x + 5 cos x) e²

A: Given query is to find the derivative of the function.

Q: Given that g'(x) = 21x²-17 and g(2) = 23, find g(x). g(x) =

A: Solution:-

Q: Question2: A; Rewrite by completing the square. x² + 3x + 1 B; C; Let D =(-4, 5, 8.5, 1, 0.5, m}.…

A: A) Given:      x2+3x+1 Write x2+3x+1 in the form of x2+2ax+a2 Here 2a=3            a=32 Now add and…

Q: Assignment: Find a possible function f(x) which gives the following graph: -14 -12 -10 -8 6 8 10…

A: If the graph of the function f(x) intersects x axis at x=a, then (x-a)m is a factor of f(x) and will…

Q: FB 1.1 Make two properly labeled sketches, the graph of a) a function and b) a relation that is not…

A: For each unique input values there must exist a  output value called functionWhen we get two or more…

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 4 5,3 17.2 S =…

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Q: 4. Find the curvature of the given curve: 32-2²2² r(t) =

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Q: [-1 -10e*+e* dx

A: Topic = Integration

Q: total cost (in dollars) of producing xx golf clubs per day is given by the formula…

A: Given query is to find marginal cost function and marginal cost at level of 55.

Q: 1 c) [xln (25) dx =

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Q: 3 If f(x) = 2x√x + ²√ find f'(x).

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Q: For the differential equation dy dx 5 + ex+y = 0, find its general solution.

A: The given differential equation is 5dydx+ex+y=0 We have to find the general solution of the…

Q: Given two vectors ū and v such that the length of u is 3 and the length of v is 5, and the angle…

A: As per your request , (3) Given that , u→=3 , v→=5 , θ=π3 Determine u→×v→2+2u→+v→·u→=?

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h ƒ(a) = a² − 4a +6 O4a-2 O2(a+2) O None of the Choices O2(2a-1)…

A: Given function:- fa=a2-4a+6

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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