Use the functions below to find the given value. f(x) = x 2 8 g(x) = x³ (g¹¹) (-2) = |

Q: ขน lim (x,y) → (0,0) x² +10y²

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: 7. The cost function for a particular product is given by C(x)=0.001x^3 −0.18x^2 +12x +200 dollars,…

A: Solution: C(x)=0.001x3 −0.18x2 +12x +200

Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 3)y' + (t− 2)y=0…

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Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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Q: Given the lengths of two vectors, namely, |u| = 1 and |v| =2, find the the dot product of u + v and…

A: answer is in next step.

Q: A loan of $38,800 at 4.39% compounded semi-annually is to be repaid with payments at the end of…

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Q: Identity the transformations (a) y=k(6x) + 3 of the function k(x). (b) y = 10k(-x) (c) y = .3k(x-7)…

A: We need to identify transformations.

Q: Write a formula for the nth term of the infinite sequence. Do not use a recursion formula. 9) 3, 15,…

A: Let's find nth tern of infinite sequence.

Q: Given f(x)=2+3x²-x² i. Find the coordinates of all local extrema. ii. iii. Identify the extrema…

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

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Q: Let C be the positively oriented square with vertices (0,0), (1,0), (1, 1), (0, 1). Use Green's…

A: Let's solve by using green theorem.

Q: f(x) = 5* g(x) = log5 (2²-4) Find (fog)(r) and obtain its domain h(x) 6-x 2x - 5

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

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Q: Find the area of the region bounded by the graphs of the equations. x = 1, x = e, y = 0 y

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Q: Enclosing the Largest Area The owner of the Rancho Los Feliz has 2580 yd of fencing to enclose a…

A: The owner of the Rancho Los Feliz has 2580 yd. of fencing to enclose a rectangular piece of grazing…

Q: Question The range of the function f(x,y)=-2+e√²-x²-ylis: [3:2+e] O This option None of these O This…

A: We have to find the range of the function.

Q: If y=-2x² + sin x solve for the differential of dy.

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Q: 10+200

A: Using sum rule

Q: Use Euler's formula to write the expression e²+8i in the form a + ib. Round a and b to four decimal…

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Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 114 ft/sec Not…

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Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: Compute the general term an of the series with the partial sum Sn = √n, n > =

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Q: Use sigma notation to write the sum. 4 [G)²-1])+ N" i=1 X [(4)²-“() X

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Q: Calculate L6 for f(x) = x² + 5|x| over [-1,6]. (Use decimal notation. Give your answer to three…

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Q: Divide. If the divisor contains 2 or more terms, use long division. 21x²-37x+12 7x-3 Divide. 5 9 4x…

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Q: Shown to the right is a graph of f(x). (a) Describe the transformation for h(x) = -f(x + 1) +2. (b)…

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: A crate is supported by two ropes. One rope makes an angle of 25° 30' with the horizontal and has a…

A: We will find the required.

Q: III) Let f, g, and h be the functions defined below: f(x) = 5* To (²²4) 1) Find h¹(r) and obtain the…

A: Given the function, hx=6-x2x-5 we have to find the inverse function of h and range of h

Q: Air traffic controllers continuously monitor the angles of elevation and to an airplane from the…

A: Concept: The angle of elevation: The angle of elevation is the angle created between the line of…

Q: Let f(x) m = and b = = The slope of the tangent line to the graph of f(x) at the point 10 The…

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Q: Q5. Evaluate the triple integral ²³ cos (y²) dz dx dy.

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Q: an = (1 + ² (1 + 2.6) "

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Q: Given the following function, f(x) = -2x^3-9x^2+108x-10 , find: a) The inflection point(s). b)…

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Q: question, show all steps so I can understand the problem Use the following property of the definite…

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Q: 7. Consider the curve C given by the parametric equations x = cos(0), y = sin(0) cos(0) (a) Sketch…

A: Let's sketch the graph and find tangent of given parametric equations.

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: 6. Revenue: Pacific Sunwear The annual revenue of Pacific Sunwear of California over the period…

A: Concept: Here the annual revenue is given by the expression p(t)=-0.075t+0.975+0.75 Where t is the…

Q: 1. Rewrite log(100) = x as an equivalent exponential equation. 2. Rewrite 4* = 64 as an equivalent…

A: 1  log100 = x equivalent exponential function  for exponential function we take both side…

Q: 5. Solve lim (x + e²a)1/a. Show complete solution. The following may be useful: x-0 ● ● lim ƒ(x)9(x)…

A: The given limit is: limx→0x+e2x1x   So, the given limit is in the form of limx→afxgx. Where,…

Q: Find f(x) by solving the initial-value problem. f'(x) = 5ex − 8x; f(0) = 9 f(x) =

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Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: 2- The work can be computed as: W = fp dv. Using a combination of the trapezoidal rule, Simpson's…

A: Here we have to use trapezoidal rule , Simpson's (1/3) rule and Simpson's (3/8) rule

Q: Determine if the critical points of the function f ( x ) = x³ + x² - x - 2 are maximum or minimum…

A: The given function is: fx=x3+x2-x-2   As we know that; To calculate the critical point, f'x=0.

Q: Find an equation of the sphere with points P such that the distance from P to A(-2, 5, 3) is twice…

A: Given :The distance between point on sphere P to A is twice the distance from P to BA-2, 5, 3 and…

Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

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Q: To determine drug dosages, doctors estimate a person's body surface area (BSA) (in meters squared)…

A: To determine the drug usages, doctors estimate a person's body surface area BSA in meters squared…