Convert to a logarithmic equation. 100,0001/5 = 10 01 세=log10100,000 ○ 10 = log1/5100,000 O O 1 10 = 10g100,0005 에 RESE = log100,00010

Q: Consider the function where b is a real valued constant and b 5. Fill in the following blanks: The…

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Q: For the function(x)=√x, which is equal to -2x X+9 x² +9 2x 9-x² 훑어(???

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Q: 10) Find the equation of the plane containing the points A(-8,5,5). B(1, -6.2), and C(8,-6, 4).

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Q: · [2²11 29. x² ln(1 + x) dx

A: Our Aim is to integrate the integral given below:-∫x2 ln1+x dx -(i)

Q: Test the series below for convergence. Σ(-1)*41, 6+n² 3+2n² A. The series is Select an answer B.…

A: ∑n=2∞-1n+16+n23+2n2

Q: 20. Prove = [-2,5, 1], [2,1, -1] and w = = [-6,0, 12] are orthogonal. -

A: Let three vectors a→ , b→ , c→ If these vectors are mutually orthogonal then  a→.b→ = 0 b→.c→ = 0…

Q: Suppose [*, f(x)dx = 2, ſª f(x)dx = 7, [*f(a)da = 9. [²² [² (2ƒ(x) — 7)dx= f(x) dx

A: ∫-18fxdx=2 , ∫-12fxdx=7,∫58fxdx=9

Q: Given that f"(x) = cos(x), ƒ'(π/2) = 7 and f(π/2) = 11 find: ƒ'(x) = f(x) = =

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Q: Find the magnitude of vector v. -1 1 -1 -2 -3 -4 -5 1 2 V ليا 3 + 4 5 (4,-3) K H

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Q: The rate of change of the projected total assets (in constant 2005 dollars) in a government trust…

A: Given. f(x) = -0.364x2 - 0.296x + 176.3

Q: A vertical pole 32 feet tall stands on a hillside that makes an angle of 17° with the horizontal.…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = 5x + y + 5z, subject…

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Q: Let the vector v have an initial point at (-3,0) and a terminal point at (-4, –3). Determine the…

A: The initial point of the vector is x1, y1 = -3, 0 The terminal point of the vector is x2, y2 = -4,-3…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: The curves are given as , y=9/x , y=0 , x1=1 , x2=4 Use the method of cylindrical shells to find the…

Q: 3) Find the average value of the function y(x) = 4 sec ² x over the interval [0, π/3].

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Q: Given u = 5i + 4j and v=4i - 3j, determine -9u - v.

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Q: 3. Evaluate each of the following limits, if they exist. lim (1+1)* [A5] a) x²-√√x b) lim x+1 √x-1…

A: To evaluate the limit first check whether the given equation is in determinate form or indeterminate…

Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e, where…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate is given by and the given…

Q: Solve the initial value problem. x²y+xy = 1, y(1) = 5 (5+ In(x)) y =

A: We will solve the initial value problem as following

Q: 5. Integrate (a) [² 3x +7 dx + (b) fe' de (c) [5-13dt (Note your answer should have z in it. )

A: The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: L² 2 (2x² – 3x) dx

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Q: Find the area bounded by the curve y^2 + x - 4y and the y-axis and draw a sketch. Please, answer…

A: To find the area bounded by the curve y2+x-4y=0 and the y-axis  and to draw a sketch. Note: Since,…

Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: Suppose the position of a particle in motion at time t is given by the vector parametric equation…

A: Given position vector  r( t ) = < 4( t - 3 )2 , 4 , 2t3 - 9t2 >  As we know that velocity…

Q: Determine the volume of the solid generated by rotating function f(x) = √√9 - x² about the x-axis on…

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Q: Which value of 'a' will make the following function continuous? √x² +a, x<2 2a-x, x≥2 f(x) =< 2 6…

A: according to bartleby guide line we do only first part of multiple questions given function is…

Q: If 13 ≤ f(x) ≤ 18, then 9 Osffl 0 < f(x)dx ≤ 0

A: 13 ≤ f( x ) ≤ 18.... ≤ ∫49f( x )dx ≤ ......

Q: 2. A student named Light happens to know that the total cost of producing a boxes x² of potato chips…

A: A student named Light happens to know that the total cost of producing  x boxes of potato chips is…

Q: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

A: A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster…

Q: =) f²4f(x) dx = [ =) f2f(x) dx =[ ☐☐ =) f₁5 f(x) dx = [

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Find the surface area of the portion of the plane z = -5x - 4y + 5 above the region {(x, y) 10≤x≤2,…

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Q: 2. P √√2 √2 1 2 ন and Q 1 √3 2' 2 are two points on the unit circle. If an object rotates…

A: We use the conversion from rectangular to polar coordinates to solve the given problem.

Q: If a cup of coffee has temperature 90°C in a room where the ambient air temperature is 22°C, then,…

A: Given that, T(t) = 22+ 68e-t53 We know average value in [a, b] is, Tavg = 1b-a∫abT(t) dt Here, we…

Q: The graph displayed shows what type of discontinuity? -10 -5 15 10 -5 O --5 --10 jump infinite none…

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: For the function, find a domain on which the function is one-to-one and non-decreasing, then find an…

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Q: 23. Find the angle between the vectors u = [-9,1, 3] and = [0,2,-5].

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Q: answer the following:

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Q: timbre (1 E- 5) Determine whether the improper integral is convergent or divergent: (2²3)² dr -x

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Q: 2. Use first principles to find the derivative of each. a) f(x) = √2x-1 b) y = ///

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x the derivative is…

Q: Use the right endpoint approximation with n = = 10 to estimate the arclength of the curve y=xsin…

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Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

A: NOTE: Refresh your page if you can't see any equations. . the given equation is and the given…

Q: Find a formula for a function g(x, y, z) whose level surfaces are planes parallel to the plane z =…

A: A level surface to a given function can be found by setting the function equal to some constant C.

Q: If u and v are collinear and the magnitude of u is 7 times the magnitude of 1, write an expression…

A: If u and v are collinear and the magnitude of u is 7 times the magnitude of 1, write an expression…

Q: 48) log 41 A) 1 B) C) 4 D) 0

A: To evaluate the following expression. log4 1

Q: 20 14 ·b [." 1(2) dz - " 1(2) de - [* 1(2). f(x) dx f(x) dx f(x) dx a

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Q: uate the indefinite integral as a power series. What

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Find the absolute maximum and minimum of the function f(x, y) = y√x - y² - x + 3y on the domain 0 ≤…

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Q: 3) Find the equation of the osculating plane of the helix x = sin 3t, y = 2t, at the point (-1, π,…

A: x=sin3t y=2t z=cos3t Point÷ -1,π,0 π=2t means t=π2

Q: Find the power series representation for f(x). f(z) = ;}. O None of the other choices

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