85. 85. Prove that xb" dx In b +C. In? b

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Q: g(ƒ(0))

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Q: Determine if the function f(x)=arctanx is convex downward or upward at the point x=1?

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A: We first solve the given equation for tanx  

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Q: Graph the functions

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Q: If g(x) = VF(x), where the graph of f is shown, evaluate g'(3). %3D

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Q: In Exercises 9–16, determine whether the function is even, odd, or neither.

A: Since you have asked multiple questions in a single post, we will be answering only the first questi...

Q: - Copy and complete the following table. g(x) f(x) (fo g) (x) 1 а. |x| ? 1 b. ? x + 1 с. ? d. V ?

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Q: Find the value(s) of x such that the distance between the points is 5. (7, 1), (x, -3) STEP 1: Subst...

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Q: Find the angle α between the polar curves r1=eθ and r2=e−θ at the point of intersection.

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Q: (a) z'y" - ay + y = 2r, a> 0 (b) ry"- 4ry + 6y = a, z>0

A: We’ll answer the first part of this question since due to complexity. Please submit the question aga...

Q: Find the one-sided limit (if it exists).

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Q: 65. a. Show that there is no solution to the boundary value problem у" + 4у —D 0, У(0) — 0, у(п) %3D...

A: y'' + 4y= 0 It's ancilliary equation: r2 + 4 = 0 Hence, r = √(-4) = ±2i Hence, the solution will be ...

Q: A rectangular metal tank with an open top is to hold 256 cubic feet of liquid. What are the dimensio...

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Q: Find the limit

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Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there....

A: The hint is already given in the question itself: Divide numerator and denominator by the highest po...

Q: Determine whether the following series converges or diverges

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Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your...

A: We first graph the equations using a graphing calculator  y = −∣2x − 3∣ + 6  (violet) y=6-x (black) ...

Q: 5d - Please I want solution of this question. Thanks   Z = 8

A: a) Answer(i): Acute angle

Q: find the domain and range of ƒ(x) = 1 - 2x

A: f(x)=1-2x is a linear function.  For linear functions all real values of x are possible.  And all re...

Q: Find the limit

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Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as necessar...

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Q: What is the largest value that the directional derivative of ƒ(x, y, z) = xyz can have at the point ...

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Q: Find the global maximum and minimum of the function on the given interval:f(x)=∣∣∣sinx−√32∣∣∣,x∈[0,π...

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Q: 91. Let I, = | x" cos(x³) dx and J, = | x" sin(x²)dx. (a) Find a reduction formula that expresses I,...

A: We have to find a recursive / reduction formula for the given integral.

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Q: Recall from Example 1 that whenever Suzan sees a bag of marbles, she grabs a handful at random. She ...

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Q: A particle moves along a straight line according to the equation x(t)=t3−6t2+5, where x is in meters...

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Q: Differentiate.

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Q: Please help with #13. Thanks

A: Given and initial condition 

Q: In Exercises 25–28, use graphs to find approximate solutions.25. 2x = 5 26. ex = 427. 3x - 0.5 = 0 2...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: the accompanying figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse ...

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Q: Find the differential d8y of the function y=exsinx.

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Q: say whether the function is even, odd, or neither.Give reasons for your answer.

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Q: How do you define local maxima, local minima, and saddle points for a differentiable function ƒ(x, y...

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Q: Find the asymptotes of the curve given in polar coordinates:ρ=atanφ.

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Q: Calculus Question

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Q: 5a - Please I want solution of this question. Thanks   ID digits = 48

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Q: In Exercises 59–62, sketch the graph of the given function. What is the period of the function?

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Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there....

A: We divide the numerator and denominator by x2  

Q: Which of the following statements about the function y = ƒ(x)graphed here are true, and which are fa...

A: x → -1- means, x is approaching -1 from the left.     

Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: Without any further delay, please proceed to differentiate and calculate the derivatives.

Q: Find d/dx y= 5x + 2

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Q: Graph the functions. What symmetries, if any,do the graphs have? Specify the intervals over which th...

A: We make a table  y=-x3/2 x 0 1 4 9 y 0 -1 -8 -27  

Q: If H(θ)  = θsinθ   , find H'(θ ) and H"(θ)

A: We will use the product rule to find H'(θ)    

Q: Please help with #11. Thanks

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Q: 6. Surface in polar coordinates Let sin 6r r + 0 f(r, 0) = 6r r = 0, where r and 0 are polar coordin...

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