Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines x=o and y= 8 ANd

Q: y = , x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u.)

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Q: A = (Round to thế heares There is no solution. e the value of a. Select the correct choice below…

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: Suppose that a cylindrical can is designed to have a radius of 1 in. and a height of 5 in b the…

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Q: e cost of sending a large envelope via first-class mail is $0 73 for the first ace and $0.18 for…

A: Given query is to find the Indicated limit form the graph.

Q: 1. A line passes through the points A(2, 3) and B(-2, 1). Find a vector equation of the line. [x, y]…

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Q: x +729 lim x+9 X-9

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Q: If a vector v lies in the third quadrant and makes an angle n with the positivex - axis and…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: Use derivative and unit tangent formula for finding it.

Q: In Problems 19-36 use Theorem 7.1.1 to find L{f(1)}. 19. f) = 21* 20. f(1) = r° 21. f(1) = 41 - 10…

A: Laplace transform

Q: al squares fr ame if the pie 16

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Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

Q: if f'f′ is the derivativeof ff with 2∫1f'(x)dx=10∫12f′(x)dx=10 and f(2)=4,f(2)=4, then f(1)

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Q: Solve the initial value problem forr as a vector function of t. d'r - 2k dr? Differential equation:…

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: Find the following limit. Answer in either integer or fraction form. NO DECIMAL APPROXIMATIONS. If…

A: Use l hospital rule for finding the limit.

Q: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. f the limit…

A: Given query is to find the limit nof the expression.

Q: Use loganthmlc differentlation to find dy/dx. y = x, dy

A: The given function,      y=xx-2, x&gt;0

Q: Find the area of the region between the curves y = æ and y = Va. Area between curves

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Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: Use the graph of the function f shown to the right to estimate the indicated function values and…

A: topic- limits

Q: 12. Find the maximum and minimum values of each function. Graph each function. а. у %3D е* + 2 b. у…

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Differentiate the function. t(t² + 1)4 g(t) = In V8t – 1 - g'(t) =

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Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

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Q: of the indicated portion of the curve. K.

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Q: olve the triangle. 95 a-6 b- 4 Select the correct choice below and, if necessary, fill in the answer…

A: Here is the solution

Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

Q: 1. Using the graph below, answer the limit and continuity questions. 2, 6 8. -2 Graph of f Find the…

A: we have to find out the limit

Q: x+6 lim 2. X6 X -36

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: f(x) = 8 cos Tx

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

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Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (6 e'V5)i+…

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Q: If 4x? + 5x + xy = 2 and y(2): – 12, find y'(2) by - implicit differentiation.

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Q: 2. lim 3X - 2*

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Q: 4. Determine the equation of the plane passing through the point (1, –4, 3) and parallel to x – y…

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Q: If f(x) = 2 g(x) find g'x) in terms of f'(x). O g(x) = f(x)/4 O g(x) = f(x)/2 O 'x) = f(x) - 2 O…

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Q: To find two real numbers whose difference i and whose product is minimum, we can find minimum value…

A: Topic:- calculus

Q: Use the table of values to estimate lim f(x). X-5 4.9999 5.0001 7.9999 8.0001 4.9 4.99 4.999 5.001…

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Q: Given the function f(x) = -x* - 4x determine its critical points and classify them, determine the…

A: We have to find the points and check the nature of function.

Q: Write the sum 5 + 15 + 45+ + 1215 using sigma notation. ... a1(1 – r") - Then evaluate the sum using…

A: Solve the following

Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

A: We can find the limit of the function. Firstly make factor in numerator and denominator and solve .…

Q: - Find the Linearization of f (x) = sinx at a 5. Provide your answer as L(x) =? %3D %3D

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Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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