For the real-valued functions g(x)=2x-1 and h(x)=√x+5, find the composition g oh and specify its domain using interval notation.

Q: 3 A line passes through the point (-8, -3) and has a slope of Write an equation in slope-intercept…

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Q: Select all that is true: If the slope of the tangent line to a given curve is given by where and are…

A: Given:- dydx=px,yqx,y

Q: 8. Show that tan x>x for 0<x< 0<x< 1/1.

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Q: 16. Bikes A and B are traveling on perpendicular roads. At the same time, bike A is leaving the…

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Q: Pind the limit lim 848 (√7x² +10 -√7x²-3)

A: Recall the formula: limx→∞ c=c and limx→∞ ax2±b=∞

Q: Find the interest rate r needed for an investment of $5,000 to grow to $8,000 in 3 years if interest…

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Q: Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are…

A: we need to find the height.

Q: (8) Compute 100 [ f(x) dz 3 f(x) dx where f(x) = √9-x² ³x+3 if -3<x<0 if 0<x< 50 -162 if 50 ≤ x ≤…

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Q: Determine the limit, if it exists, at the specified value of a by completing the tables. Round table…

A: To determine the limit, if it exists, at the specified value of x by completing the tables.limx→∞…

Q: A woman at a point A on the shore of a rcular lake with radius r = 4 wants to arrive at the oint C′…

A: we will find the required.

Q: 15. For the following power series, a) find the series’ radius, R, and its interval of convergence.…

A: root test

Q: Evaluate the following integral. 3 400 F 2 - 20x dx

A: We are required to find ∫400x3-20x2dx

Q: DETAILS Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that…

A: The solution is given below

Q: Suppose that F(x)=f(g(x)) and g(14)=2, g'(14)=5, f(14)-15, and f(2)=11. Find F(14). O 17 O 20 24 O…

A: Given query is to find indicated derivative

Q: A pair of shoes is on sale for $31. If the sales tax rate is 6.6%, what is the amount of sales tax?…

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Q: (a) Eliminate the parameter and write the rectangular equation (b) Sketch the curve represented by…

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Q: 3 06 02 O The function on the graph above it is not continuous at x = 4 N -2 4 -6 -8

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the integral 121 dx S 11 x(In x)²

A: Given integral:- ∫11121dxxlnx7

Q: 17. Find the Maclaurin Series for the following function: coshx (Hint: we did sinh(x) in class)

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Q: Compute dy/dx for the function. 2. y= sinh 7x

A: y=sinh27xdsinh(x)dx=coshx

Q: * Consider (3x4 + 5) dx + (y5 + 3y² - 1)dy C C is the boundary of a rectangular region with vertices…

A: We need to solve the region using Green's theorem. As per Bartleby's guidelines we can solve one…

Q: Question 11 Evaluate the definite integral. [ sin(2t)dt > Next Question

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Q: Given f(x) = 2√. Which of the followings is the limit definition of the derivative f'(z). Select…

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Q: 13. Find ƒ. (1)ƒ'(x)=x² + 3√x (2) f(t)=2cost+sec²t,-/2 <t</2,ƒ(π/3)=4; (3)ƒ*(x) = 6x+sinx.

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Q: 3 36. Evaluate cos 20, given cos 0: = 5 sin = 4 5 and 37. Evaluate sin 20, given cos 0 and 4 5 sin =

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Q: Given f(g(x)) = cos²x what is the outside function f (x) and the inside function ? g(x) so that the…

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Q: Which equations show an implicit relation between and ? Select all that apply. O X Y y = 3x³ − 2x +…

A: An implicit relation is the one in which the variables x and y cannot be separated to two different…

Q: What is ? d de (tan) - csc² 0 2 csc ²0 - cot(0) - sec² 0 2 sec²0

A: To find the derivative

Q: Given the derivative of a continuous function, f'(x) = -16+64, if each of the critical points and…

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Q: EXAMPLE 4 Suppose the average waiting time for a customer's call to be answered by a company…

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Q: Solve 6 sin² (x) cos(x) - 4 = 0 for all solutions 0 < x < 2π X- - Give your answers accurate to 2…

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Q: True O False dy [ƒ (x)] dx = d [f(x)] dx

A: To find whether the following statement is True or False. dydxfx=d[fx]dx

Q: How would you go from x squared = 6/5 to x=square root of 30/5

A: given x2=65

Q: Y = f+₁ + fot-, h= 71

A:

Q: 3) Show the the following derivative are equal. Then explain how they can be equal (don't just tell…

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Q: (c) Use the graph to find T₂. T₂ = 27 x How does it compare with I? T₂ <✔✔ I (d) For any value of n,…

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Q: Suppose that 40 students were asked how many courses they were taking this semester. The…

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Q: What value of a makes the equation 2(+7) = 8(²-5) true? Provide your answer below: X=

A: we know that  if  ax=ay,  than  x=ygiven   2(x+7)=8(x-5)

Q: Evaluate the following integral using trigonometric substitution. √81-x² What substitution will be…

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Q: Find the limit. 3sinx lim x+0x + 6xinx 。 흑 2 0

A: I=limx→0(3sinxx+6sinx)if we put x=0 than it is 00 form there for use L'hopital rule…

Q: Find a function of the form y = A sin(kx) + Cor y = Acos(kx) + C whose graph matches the function…

A: We have the given graph and y=Asinkx+Cy=Acoskx+C

Q: Select all the rules that can be used to differentiate O Use algebra to rewrite g (t) = Use algebra…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) cos(x) > 0 sin(2x) = cos(2x) =…

A: formula used is  sin2x=2tanx1+tan2xcos2x=1-tan2x1+tan2xtan2x=sin2xcos2x

Q: Express the polar coordinates R3 in Cartesian coordinates. What is the point in rectangular…

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Q: Find the length of the curve. r(t) = 6i + t²j+t³k, 0≤t≤1

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Q: The function f(x)=x²-10x + 16 is positive on (0, 2) and (8, 10) and negative on (2, 8). Find the…

A: We are required to find the area bounded by the curvef(x)=x2-10x+16, the x axis, and the vertical…

Q: A model used for the yield Y of a potato crop (in pounds) as a function of the nitrogen level N in…

A: We have to find the nitrogen level that gives the best yield.

Q: The first term of an arithmetic sequence is 11, and the tenth term is 3. (a) Find the common…

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Q: Find the derivative. ya 7 lnx Ox7-1 O 7ex7 x 07x Ox7 et dt

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Q: 1. Evaluate the equation below where F (x, y, z) = . a. "C" = A triangle with the following…

A: Given that , Fx,y,z=-xy , -xz , -yz and C : 0,1,0 , 0,1,5 , 3,1,0 Determine using stokes theorem…