9. =dx i √√x-1

Q: The function y = f(x) is graphed below. Plot a line segment connecting the points on f where x =…

A: Given graph of f(x)

Q: Find the equation of the plane which passes through O and is parallel y+z= x+ (3x + y) = 6

A: Given:plane To find:Equation of plane that passes through O and is parallel to the given plane.If…

Q: Let R be the bounded region enclosed by the curves y = x and y = 2x^2 − 1. We rotate R around the…

A: The objective of this question is to find the volume of the solid formed by rotating the region…

Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, −1), u'(3) = (8, 1, 6), and v(t) = (t, t², t³).…

A: The given functions and function values are .The aim is to find the function value .

Q: Sketch the region under the curve y = x² + 5 and over the interval [0, 9] and find its area. area =

A: Given that the curve y=x^2+5 and over the interval [0,9] we have to find the area of the region

Q: Identify the interval of convergence of a power series Σ(-16)".x²n n = 1 Select one: a. O b. O C. O…

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Q: Find the local (relative) extrema of the function f(x) = x+ 3- 2x.

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Q: Define vectors a= and b= and compute for the following. Show work and can explain reasoning.

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve first three…

Q: If f is a function such that f(2)=4,can you conclude anything about lim as x tends to 2 for the…

A: The objective of the question is to understand if we can conclude anything about the limit of a…

Q: 8/7 Find g'(x) for g(x)=x g'(x) =

A: The given function is

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

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Q: Find the 85th derivative of y=cos(3x)

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Q: If the total cost function for a product is C(x) = 2(x + 8)³ dollars, where x represents the number…

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Q: 9x3 7) (a) Write the expression log3 as the sum or difference of logarithms. yz b) Write the…

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Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x³ + x²-x+6, [−2, 0] (x,…

A: To find the absolute maxima and minima for  on the interval ..

Q: Use the given acceleration function and initial conditions to find the velocity vector v(t) and…

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Q: Use the graph of f to evaluate the following: 6 5 4 3 2 7 f(x) 1 2 3 X 5 6 The average rate of…

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Q: Use Part 2 of the Fundamental Theorem of Calculus to find the derivative. dx X * sin (t³) dt dt] = =

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Q: What is the integral of the function f(x) = sin 2x?

A: The objective of this question is to find the integral of the function f(x) = sin(2x).

Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. 4₁:X-3=X-1=2-30 + L₂:…

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Q: On Exploration 4.3.3, what is a vertical asymptote for Question 1? Ox=0 x = π/8 x = 2n/3 Ox= π/2 x=л…

A: The objective of the question is to identify the vertical asymptote for a given function in…

Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by ä(t), whose…

A: The given graph

Q: Determine the intervals of continuity for the following function. Ay Q 5- 4- 34 2- y = f(x) G Choose…

A: To determine the intervals of continuity for the following function.

Q: Show algebraically that ƒ(x) = |x − 1| = x = 1. J−x+1 x≤1 (x - 1 x > 1 is not differentiable at

A: Given,

Q: True Or false, and justify answer: Given h(x)=x²-1 + 2TT -f(x), where a is a 2πn (x^-I-f'(x) x-n…

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Q: John has a small business building elec tronics. He specializes in building laptop computers and…

A: AssemblingWeightProfitx36$600y52$400At most 60At most 72

Q: Is the vector parallel to the plane x+2y+z+4=0? Explain why?

A:

Q: 19) U² = V² = a) use a suitable right triangle to kind I between I and P. the angle b) Find U₁V…

A: you have submitted multiple questions, so according to Bartleby policy we will solve only the first…

Q: Imagine you have the function f(x)= x^p (1− x)^ q where p and q are integers. Solve for this, find…

A: Extrema refer to the points on a mathematical function where the function reaches its highest…

Q: p(x) = 85 - 3x x (Millions) 1 4 8 12 16 1≤x≤20 Revenue Revenue R(x) (Millions S) 82

A:

Q: items ind the maximum profit.

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Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x(t) = 3t³ — 18t² –…

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Q: Suppose y dy dx -18 x 3x³-4. Then 6x +1 + (6x + 1) +

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Q: Use Part 2 of the Fundamental Theorem of Calculus to find the derivative. X IS d dx 3 [at] = e³√t dt…

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Q: 3x x-∞0 px+7 a) lim- = 2

A: (a) Gven,

Q: Oppgave 11 Bruk rekkeutvikling til å bestemme grenseverdien. x'sinx lim x-0 1- cos (2x)

A: given limit

Q: Find the area under the line y = 2x between x = 1 and x = 3

A: we need to find out the area of the bounded region.'As per the company policy, we are supposed to…

Q: Evaluate the limit assuming that lim f(x) = -5 and lim g(x) = 2: I→1 I→1 lim f(x)g(x) z+1

A: The objective of this question is to evaluate the limit of the product of two functions as x…

Q: At what points does the helix r(t) = (sin(t), cos(t), t) intersect the sphere x² + y² +2²= 65?…

A: To find the points at which the helix  intersect the sphere .

Q: 3. Consider the region between the curves y = x + 2, y = (x-4)², and y = 0, graphed below. -4 2 O 2…

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Q: Estimate the derivative from the table of average rates of change. HINT [See discussion at the…

A: To estimate the value of derivative from the table of average rate of change.

Q: Find the tangent plane to the equation z =-3x² - y² + y at the point (4, 3, -54) Z=

A: The objective of this question is to find the equation of the tangent plane to the given function at…

Q: Find two unit vectors that make an angle of 60° with v = 6i + 8j. (Round your answers to four…

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Q: The length of a rectangle is given by 2t + 5 and its height is Vt, where t is time in seconds and…

A: The length of the rectangle 2t+5height of the rectangle tArea of the rectangle=length∗height=(2t+5)t

Q: Determine the domain and range of the function using the graph below: 15 + 14 13 12 11 10 9 8 7 19 +…

A: To determine the range and domain of the function graphed below.

Q: [7x²e-3² dr.

A: Note:- The formula for integration by parts is given by -            Given - The definite integral

Q: Find the value(s) of c such that the area of the region bounded by the parabolae y = x² - c² and y =…

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Q: Lim х +бх х+ x +5х

A:

Q: Calculate the derivative (a and b are constants). (Use symbolic notation and fractions where…

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