Re-write the following exponential equation in logarithmic form. 11 3 b = Is equivalent to: log, (x) = y, where y = 8 1331 x=

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A: Given query is to find the distance between A and C.

Q: Find all the relative extrema and saddle point(s) of f(x,y) = 3xy2 + x3 - 3y2 - 3x2 +

A:

Q: -3.4 0.4 murunin xex dx ound mol

A: given integration is  ∫0.43.4xe-xdx here   N=6 here  b = 3.4     and  a = 0.4   and f(x)=xe-x so…

Q: What is the length of the major diameter of this ellipse?

A: We need to find the length of the major diameter of the given ellipse.      13x2+2x+y2=1

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A:

Q: Let y = 4x². Find the change in y, Ay when x = 3 and Ax = 0.2 Find the differential dy when x = 3…

A: Given fx=4x2  We know that  ∆y=fx+∆x-fx Also, dy=f'xdx

Q: that 1+2i is a zero of the polynomial f with real coefficients. Which of the following statements is…

A: Given query is to find the incorrect statement.

Q: 2/Let A 70. Solve for x A(x − B) + C² = -7D -

A: To find the x.

Q: Consider the following. x = 5 cos(6), y = sec²(8), 0≤8</ (a) Eliminate the parameter to find a…

A:

Q: Determine the slope of the tangent line, then find the ㅠ equation of the tangent line at t 4 x = 9…

A: To determine the slope of the tangent line, then to find the equationof the tangent line at t=π4.x=9…

Q: Find the nth Maclaurin polynomial for the function. f(x) = e P(x) = n = 3

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Q: Suppose f is continuous on [5,18] and '14 3) [1²₁ /14 (a) 5 (b) 1) fort f(t) dt = 18 (c) √ ¹8: (d)…

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Q: S.S. X x Arcsin y 4 yª dydx

A: Reverse order

Q: 6.2 If 20% of x equals 7, what is x?

A: Solve the following

Q: 13. y = √√5 + x², y=0, x=0, x= - 2

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Q: open interval(s) on which the function is increasing and decreasing. b. Identify the function's…

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Q: dR 22 dt 3 R(1) 56

A: To find the particular antiderivative of the following derivative that satisfies the given…

Q: .9 A student invested $10,000 in SP500 index now (in 2021). His colleague made the same investment…

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Q: a) log (x² - 1) - log (x − 1) = 1 b) log4x x = 2

A: Given query is to find the value of x.

Q: Suppose parametric equations for the line segment between (3, 0) and (4, — 10) have the form: [x(t)…

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Q: Evaluate. 2 0 √2x dx

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Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: The first derivative is given by: f'x=sinx+cosxsinx-cosx For critical points, we will put the first…

Q: Evaluate the surface integral positive (outward) orientation. SS.F. F. ds for the given vector field…

A: Let's find flux across S.

Q: Evaluate. 5 -1 -1 (4x²-3x+5) dx (4x²-3x+5) dx = (Type an exact answer in simplified form.) ***

A:

Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

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Q: f(x) = X-3 X-6

A:

Q: Where did the 648 come from in part (a)?

A: Let's solve.

Q: 10. Using cylindrical coordinates evaluate the triple integral [√² + y²dV where E is region that…

A:

Q: The equation of motion for a particle moving along the y-axis is given as y(t) = 2t² - 8t + 3 for t≥…

A: I have solved step by step in detail...hope you will get this solution

Q: What is the point ony = 2√x A (2√2.244) B (4,4) (2.2√2) that is nearest to (4, 0)?

A: Topic - Application of differentiations We are given an equation of a curve as y=2xand a point as…

Q: 8. Find the differential of each function: (a)y=tan(cos.x) : (b) y=- Answer D

A: 8) a) y= tan(cosx)

Q: K Evaluate. 0 1 (2x² + 8) dx (2x²+8) dx = (Type an integer or a simplified fraction.)

A:

Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Determine the domain of the function of two variables. g(x,y)= 8 y+x² {(x,y) y*)

A:

Q: Prove that the inverse hyperbolic function can be written in terms of logarithms: cosh¹x =…

A: We have to prove that cosh-1x=lnx+x2-1 for x≥1.

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: We have to find if the given series convergent or divergent.

Q: hy is the derivative of -1/x^2 = 2x-3 and not -2x-3?

A: use the sign given in the function and differentiate it.

Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

A:

Q: Determine an equation for a plane through the point: (-7, -9, 4) parallel to the plane 3x + y + z =…

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Q: Evaluate the integral: 2 √√4-2² ○ 4π [²4] -1 21 02[1-4] e4 021-4+0 ㅠ -1 e4 dydx -√4x² ex² + y²

A: Answer is in step 2.

Q: find the length of y=√x² from to += 12 x = formula 3 L = So 9 Ht( f (x) J² dx

A:

Q: if f(x) = 3x + 2 the f-1(x) = f(x) = 3x2 + 2x - 5 then f(-2) =

A: To find inverse function.

Q: Use the ratio test to find the radius of convergence of the power series 4!x² (21) ² 1+ 2x + + 6!23…

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A: Aim: We need to underestimate and overestimate the distance covered by the runner in first 5…

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Q: Of all students at the University of Metropolis, the proportions taking certain numbers of units are…

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Q: Eliminate the parameter t to find a Cartesian equation in the form x = f(y) for: [x(t): 2+² ly(t) =…

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Q: Find the following antiderivative. J dx (x ln x) In (In a

A: To evaluate the antiderivative

Q: If what does the following integral equal? [p(z)dz = 8 0 p(z)dz = 8 and p(z)dz = 4.9 -8 0 -5

A: given  ∫-80p(z)dz=8              ∫-50p(z)dz=4.9              we know that…

Q: A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin…

A: volume of storagr bin is volume of cylindwe +volume of cone volume of cylindwe =πr2hvolume of cone…