Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. 4 L y = In(x), y = 0, x = 4; about the y-axis X dx

Q: OZ Use the chain rule to find and əs əz əs дz at = = ~(~). z = tan dz at u = 8s + 5t, v = 5s - 8t

A: Given z = tan( uv ) u = 8s + 5t v = 5s - 8t

Q: **************... For the function, find the second-order partials fxx fxy fyx and fy f(x, y) =…

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Q: evamate cot¹ (2-3₁)

A: Formula used sin( a - b ) = sinacosb - cosasinb cos( a - b ) = cosacosb + sinasinb sin( ix ) = isin(…

Q: Find the indicated partial derivative. f(x, y) = sin(5x + 4y); f yxy fyxy(x, y) =

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Q: When interest is compounded continuously, the amount of money increases at a rate proportional to…

A: dSdt = rS where S = amount present at any time t r = annual rate of interest

Q: Find the directional derivative of f at the point P in the direction of a. a=i-j f(x, y) = 7x³ —…

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Q: et

A: here  we have graph of a function f over interval ( -7 ,7 ) then we have to find the graph of…

Q: Question 6 Use logarithm properties to expand the expression log_(4)((x^(8)z^(5))/(y^(12)))

A: We have to use logarithm properties to expand the given expression.

Q: If 8000 dollars is invested in a bank account at an interest rate of 7 per cent per year, compounded…

A: NOTE: Refresh your page if you can't see any equations. . the initial amount is P=8000 dollars the…

Q: Use numerical evidence to evaluate lim (5. (5. √x + 4) x18 f(x) X 1 100 10000 1000000 Type in oo for…

A: By using numerical evidence to evaluate the following limit. limx→∞5·x+4

Q: Find the exact length of the curve Arc length 0 Y I 6 2x - <x< 1.

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Q: A population of bacteria follows the continuous exponential growth model P(t)=Poe, where t is in…

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Q: For the sequence An its first term is its second term is its third term is its fourth term is its…

A: Given: an=2(an-1-2) and a1=4

Q: Consider the planes P1: 2x + 3y - 4z = 1 and P2: x + y + z = 3. Confirm the Q(1,1,1) lives on both…

A: Given planes: P1: 2x + 3y - 4z = 1 and P2: x + y + z = 3. And point Q(1,1,1)

Q: Find the parametrization for the line segment joining the points P(0.8.1) and Q(0,-8,1). Draw…

A: We have to find the parametric equation of line segment.

Q: Determine whether the planes are parallel, perpendicular, or neither. 4x + 4y + 4z = 1, 4x - 4y + 4z…

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Q: Let M = Mu = ( Mv = ( 3 51 21]. u = (x, y), v = (z, w). Find the following. -3 2

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Q: Find the plane determined by the intersecting lines. L1 x= -1 + 4t y = 2 + 2t L2 x=1-4s y = 1+2s…

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Q: Find an equation of the tangent line to the graph of y= The tangent to the curve at the origin is y=…

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Q: The cosh y de is equivalent to __. O sinh(z)+C O x cosh(y) + C sinh(y)+C O y cosh(x) + C

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Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: 3. Show algebraically that lim √²- -2x = 0. 30-00

A: The given limit is limx→∞x2-2-x We have to find the limit value. Note : If multiple question given…

Q: Current Attempt in Progress Using the table below, create a table of values for f(g(x)) and for g…

A: Solving the problem by finding the value of the function.

Q: The reaction A + 2B + C → Products has a rate law of Rate = k[A]²[B]. By what factor would the…

A: given  A+2B+C→products rate=KA2B

Q: hat is the average rate of change of f(x) from x₁ = -5 to x₂=-1? Please write your answer rounded to…

A: Given query is to find average rate of change.

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

A: To find the general solution. D3-14D+8y=0

Q: Let f(x) = { if x ≤ 6 - 6x + b if x > 6 6x - 1 If f(x) is a function which is continuous everywhere,…

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Q: A particle moves along the path y = 3x² − x³ with the horizontal component of the velocity equal to…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: use the following information to eval- uate the given limit, when possible. If it is not possible to…

A: INTRODUCTION A limit of a function is the point at which the function's behavior changes…

Q: c) is incorrect

A: NOTE: Refresh your page if you can't see any equations. . the solution for answer a and answer b is…

Q: Find an equation of the tangent line to the curve at the point (3,12) y= (x-1)/(x-2) + 10

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Q: The gravitational pull between a planet and its star causes the planet to orbit its star with an…

A: Givena(t)=4sint,7costv(0)=-4,0r(0)=0,-7   We are required to findv(t)   The following formulas has…

Q: Use your calculator to find the inverse matrix for Matrix C. Use exact values (integers or…

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Q: J = (x)\, mil 6. Find an equation of the tangent line to the curve y = √ at the point (4,2).

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Q: Find the equation for the plane through the point Po= (2,7,4) and normal to the vector n = 7i+…

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Q: 1. Evaluate the limits below. If they do not exist, explain why. Show your work (you can use any…

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Q: Find the general solution of the given differential equation. x²y + x(x + 2)y = ex y(x) = Give the…

A: Solution: The given differential equation x2y'+x(x+2)y=ex

Q: On what domain is the function f(x) = - 8x - 7 continuous?

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Q: A. Find a nonzero vector orthogonal to the plane through the points  P, Q, and R. B. Find the area…

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Q: 8. lim (3f(x)/g(x)) X-9 (f(x) - 2g(x))

A: Given query is to find indicated limit.

Q: II. Get the transfer function of the differential equation: 1. y"+ 7y" -8y' +4y=x" - 5x' +6x

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Q: A quadratic function f(x) = ax² +bx+c passes through the points: (2,-29), (1, -9) and (5, -161).…

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Q: 4. Evaluate the right limit of the following function at t = 2 -2x + 1 x ≤ -2, x + 3 |x| f(x) =…

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Q: If a thin metal rod is heated or cooled, its length changes. The length of the rod, L (cm), as a…

A: Given Function,L-L0 = kt-T0

Q: Find the common ratio and write out the first four terms of the geometric sequence 3n-3 2

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Q: For the function f(x) = -5x - 8x² + 7x³, Step 1 of 2: Find the slope of the tangent line at x = 1.…

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Q: If lim f(x) = 2.5 and lim f(x) exists, then what is the value of the limit where it exists? T→3 2-3…

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Q: f(x) x+63-g(x) 10. lim (x))

A: given  limx→6f(x)=9limx→6g(x)=3(10)  D=limx→6(f(x)3-g(x))

Q: 2 ~² S-₁ (2-x²)²³ - (x²)² dx = π

A: