Question Find the area of the region enclosed by one loop of r = Enter an exact answer. Provide your answer below: A cos (70).

Q: b ZA= ZB= ZC= с a B Let a = 1, b = 8 and c = 8. Find the measure of angles ZA, ZB and ZC. Give your…

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Q: Write the complex number 7 - n(0)), with r> 0,0 ≤0 ≤ 2. 6ż in polar form, r(cos(0) + i sin(

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Q: Obtain in factored form of a linear differential equation with real, Constant coefficients that is…

A: Please see the below picture for detailed solution.

Q: . Let f(x) = ka. Determine the constant a so that f(-1) = 10 and f(2) = 5 19 4

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

Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: Find the arclength of the curve X ㅠ = 6 cos (5t), y = 6 sin(5t) with 0 ≤ t ≤ 10

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Q: 3 11 2.) S³²₁ 2 (x+4)² dx

A: we need to find out the definite integration.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 8 Σ…

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Q: Evaluate the definite integral 1.³ (sin(t), cos(t)) dt

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the limit. [°…

A: Here is the solution:

Q: Find the area of a triangle with sides of length 12 and 30 and included angle 78 degrees. wer is

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Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by…

A: given rate is  s(t)=0.25t2-t+29refrence is year 2007 fot 2007 to 2014,   0≤t≤7there for 2009 to 2012…

Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: 6. Use the method of Lagrange multipliers to find the points on the Sphere are closest to x² + y² +…

A: Given equation of sphere x2+y2+z2=36 let  any arbitrary point on sphere is  (x,y,z) now distance…

Q: Answe

A: We have to determine the definite integral such that represent the area according to the given…

Q: The velocity function is v(t) = t² — 5t + 4 for a particle moving along a line. Find the…

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Q: 18. Let g(t) = log₂ (At+32) + B. (a) Find the value of A so that g(t) has a vertical asymptote of t…

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Q: Use the Limit Comparison Test to determine convergence or divergence. 0.0013 n+2 n=1 Select the…

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Q: Let f(x) = 7+ 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and…

A: The given function fx=7+2x2 on the interval -1, 2. We have to find the left Riemann sum for n=3 and…

Q: A car rental company charges 40 dollars per day, 15 cents per kilometre driven, and a 30 dollar…

A: we know that   10 cents=$0.1given  per day charge is  $4015 cents per kilometer driven $30 for one…

Q: Evaluate 2 O evIn(5) 1 S ○ 1 5 0 In(5) 1 2 dư. (evin (5) – 1)

A: Let's solve given integral.

Q: 12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to…

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Q: 1. Evaluate the line integral where C is the half circle x² + y² = 1, y ≥ 0. 1²+y² ds

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Q: Find the indicated value of the function f(x,y,z)=2x-7y² + 3z³ - 5. f(9, -4,3) f(9,- 4,3)=

A: Here is the solution:

Q: hape of a box with a square base. It is to have a volume of 686 cubic feet. The concrete for th the…

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Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: true or false?

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Q: Find the value of lim x →0 if the limit exists. 1. limit does not exist 2. limit 3. limit 4. limit…

A: if we put x=0 it is 00  form there for use l'hospital rule limx→0(2x+1)2-16x=limx→0∂…

Q: Determine the 8-values for the points of intersection of the graphs of the polar curves r = 3 sin…

A: The given polar curves r=3sinθ+1 and r=sinθ. We have to find the point of intersection point of the…

Q: The table below gives the value of a function f and its derivative f' at several values of x. x 0 1…

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Q: 4).    Find the Taylor polynomial of degree two approximating the given function centered at the…

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

Q: 1. Bernoulli's Equation. Find a particular solution of the differential equation y^2dx + (2xy -…

A: solution is below.

Q: (+/- 4√x²) dx 2x³

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

A: We have to find the critical points and absolute extrema.

Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. x 2…

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Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: b) Suppose that w = x2 + y² - z2 and_x = p sin + cos0, y = p sin ф sin 0 , z = p cos ф Əw aw find…

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Q: gradient of the line joining the points (3, 5) and (2, 8) is

A: Given query is to find the gradient of the line.

Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = 3. Find…

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Q: Find dx dy and. dt dt dy. dx x = 6tet, y = 2t + sin(t)

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Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of…

A: To solve the following problem

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: we need to find out the local maxima, local minima, absolute maxima, absolute minima and inflection…

Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: 1. y = sin 4x 2. y = cos 5x 3. y = sin x

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Q: Let f(x) = 4√√x+5x. Verify that f(x) satisfies the conditions of Mean Value Theorem on the interval…

A: Here is the solution:

Q: 2. xy + y = (xy) ³/nx

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Q: Let F(x)= = =[ −7 cos(t²) dt. Use the Fundamental Theorem of Calculus to find F'(x). F'(x) =

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Q: Determine the relative extrema of f, if there are any, and locate any saddle points. a. f (x, y) =…

A: To solve the following problem and find the points of extrema

Q: Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the…

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