Suppose w = 8x² + 2y², X = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).

Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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Q: State whether the equation is a parabola, ellipse or hyperbola. Then state whether it is vertical or…

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Q: Determine which of the following is the particular solution for the differential equation (D²-…

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Q: Function Decomposition: Find functions f and g such that fog(x) = sin (1). f(x) = g(x) =

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Q: Solve for x in In(x+3)=5. Give an exact answer only. Write "no solution" if necessary. As always, be…

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Q: The number of people that attended the annual street fair this year was 1230. It is estimated that…

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Q: Given f (x) = x² - 4x - 2. Find the following: a) The vertex ( b) The parabola opens ---Select--- v

A: a) Vertex : (2,-6)

Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

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Q: Find the indefinite integral x² S ²-16 =dx = +c

A: INTRODUCTION:   An integral is considered to be indefinite if it has no upper or lower bounds.  In…

Q: Determine the area of the region bounded by f(x)=√x and g(x) = x/2 on the interval [0,16]. Area =

A: The curves are given as , fx=x , gx=x2 Determine the area of the bounded region on 0,16.

Q: f(x) = ((2x + 1)(x-2) x-2 k for x # 2 for x = 2 9. Let f be the function defined above. For what…

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Q: Sketch the region bounded by the graphs of x = y² + 2, y = −1, y = 2, and x = 0. Find the area of…

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Q: When solving a triangle which is not drawn, you must consider several scenarios: (1) No triangle is…

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Q: Evaluate the indefinite integral as an infinite series J Find the first five non-zero terms of…

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Q: Rewrite sin (a x + 11T 7) in terms of sina and cos x. Simplify your answer. 6 Enclose arguments of…

A: As we know that; The trigonometric identities: 1). sina+b=sinacosb+cosasinb 2). sinπ2-x=cosx 3).…

Q: Find a plane containing the point (1,3,-6) and the line of intersection of the planes 8x - 8y- 5z =…

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Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

A: according to bartleby guide line we do only first part ofmultiple please re post other parts a)…

Q: Use Figure 1 to evaluate the trigonometric function. Enter the exact answer. tan A = B 15 Figure 1 7

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = 3 x intercepts…

A: Given query is to find the equation of the function.

Q: 2 0 •√√2x-x² X √3 dydx √√√x² + y²

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Q: Convert the point (r, 0, 2) = (1, 3, 5) to Cartesian coordinates. Give answers either as…

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Q: Evaluate the integrals: a) fxe-² dx. хе 2 b) ſ² sin πtdt. -3

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Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…

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Q: Use the first Taylor polynomial for √ at z = 4 to estimate √6. Round your answer to four decimal…

A: using first taylor polynomial for function f(x)=x at x =4  then we have to estimate value of 6   now…

Q: Evaluate the definite integral. 1 ex Jo 1 + e²2x dx

A: To evaluate the integral.

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: (a) sin (2x), c = 0.

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Q: Find the first four term of the Maclaurin series of the function f(x)=√x at c=1. Give an estimate…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

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Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by vt)…

A: Given query is is to find the velocity at indicated time

Q: enan-178 -492 dx

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Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: uppose f(x) = 2x² + 8x. Find: The slope of the line tangent to f(x) at x = 2. swer: The…

A: Given query is to find the slope of tangent nad the equation of the tangent.

Q: Let f(x) = = 3x + 8 √x+26 I-12 2 if x -1 if x = – 1 Select all statements below that you agree…

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Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: A record company has determined that the cost of producing CDs is $0.04 per CD plus $657.60 per…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: we know that  ∫1a2-x2dx=sin-1(xa)+c∫70t1-t4dt=70∫t12-(t2)2dtlet   t2=x

Q: lim (cos(2x)) ¹/x²_ +0x

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Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: A new car lists for $18,600 and depreciates by 25% per year. Find its value after the following…

A: NOTE: Refresh your page if you can't see any equations. . the initial value of the car is a=18600…