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Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the...

A: Find your answer below 

Q: f(y) = ee&")

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Q: Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F...

A: Yes, there is a method to directly approach the answer with out just cross checking the options.

Q: Evaluate the following: 1) E =1 3kk 2) E =o (i+1)?

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

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Q: Solve the following equation for 0 on the interval [0, 27). -V3 tan (0) – 6 = -3 Enter an exact answ...

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Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: 3 Prove that if chords of congruent circles substend equal angles at their centres then the chords a...

A: Congruence

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A:

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Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of ...

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Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y = x()...

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Q: Find the number(s) b such that the average value of f(x) = 6x² – 62x + 132 - on the interval 0, 6 is...

A: Given   fx=6x2-62x+132   ,    favg=15      We have to find b value for interval [0,b]

Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on t...

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Q: For the function f(x) = x - 4, construct and simplify the difference quotient f(x + h) - f(x) The di...

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Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

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Q: Solve for E. log E- 12.2 = 1.44 M (used in geology) E E =D e

A: Topic = Algebra

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3) Fo...

A: Given x3+y3-6xy=0 We have to find slope of tangent line at 43,83

Q: 0.3t ug -) of a drug t hours after being injected is given by C(t) : ml The concentration (in Find t...

A: The concentration of drug,Ct=0.3 tt2+38

Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers u...

A: topic - increasing and decreasing intervals of function

Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing. 1...

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Q: Find dy if y =log Viax alog (L_x²) a .2

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the...

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Q: Find the exact length of the curve on the given interval. Show at least 3 steps to justify your answ...

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Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: (금)-(부)' h k Write the equation of the hyperbola in standard form 1 2-

A: Find your answer below 

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

A:

Q: Find the absolute maximum value of f(x) =x° In and say where it is assumed. atx-0 The absolute maxim...

A: To find out the absolute maximum of the function. 

Q: Find the 65th derivative of sin(x) by finding the first few derivatives and observing the pattern th...

A: Given:      y = sin x

Q: 8) y"+4y' +5y= 0

A: Since you have posted multiple question, as per guidelines we can solve only one question at a time ...

Q: Determine whether the seies is Convergent test that you Use. divergent.write the exact or

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Q: Question Select your answer. Find the derivative of f(x) = -x² + 4x + 3 with respect to 4x + 2 x. -2...

A: Let's find. 

Q: () + () - 2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form 1 a

A: Given ellipse 25x ^ 2 + 9y ^ 2 = 225

Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....

Q: 8. O f(x) = 3x° – 5x³ + 1

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: Topic = Integration

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

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Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x2 = 8y, th...

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Q: y - sin xy

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Q: dentify the open intervals on which the function is increasing or decreasing. (Enter your answers us...

A: Topic = Functions

Q: Determine if each formula is right or wrong. Give a brief reason for each answer. Sax+27 dx= (4x+2)3...

A: The formulas are given by To determine: Whether the formulas are right or wrong with the brief reas...

Q: D. A student attempts to solve the differential equation dy %3D ry' with the initial condition that ...

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Q: The result of the integral dx (x + 2)(x + 1) is equal to Select one: O a. None of these O b. In|x + ...

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Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3...

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Q: Problem 1. Let v = = (4, –2, -4) be a vector in R³. (a) Find a unit vector in the direction of v. (b...

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Q: r-3 Given the functions f(x) = 3+ VT, g(x) = x- 3, h(r)= m(x) = find the following: 3x + 5° 5r -1' (...

A: According to our guidelines we can answer only three subparts and rest can be reposted.Kindly repost...

Q: Find the indicated derivative by finding the first few derivatives and recognizing the pattern that ...

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