1. Given the graphs below: The blue graph is r=- =√√3 sin and the red graph is r = cos. Use a double integral (or two double integrals) in polar coordinates to find the exact value of the area between both graphs.

Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 08 0 X 2xydydx?

A: Given: I=∫04∫x42xydydx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: -x-y-z Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sys In 9, 0≤z≤ In 27) with…

A: Given :Dx,y,z: 0≤x≤ln3, 0≤y≤ln9, 0≤z≤ln27 Tx,y,z=18e-x-y-z

Q: 2. Given a tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4). Express the volume…

A: Given:- A tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4).

Q: Find the exact values of the six trigonometric ratios of the angle 8 in the triangle. sin(8) "…

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 13 19° 22

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Q: Question 1 (a) A particle moves according to a law of motion s = f(t), f(t) = t³ - 9t² + 24t, t> 0…

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Q: Solve for the DE of: y = C₁+C₂e7x O y'-+7y=0 Oy" - 7y¹ = 0 Oy'-7y=0 Oy" + 7y¹ = 0

A: The given equation is;  y=C1+C2e7x.

Q: For the function f(x) solving f(x): = 0. Type in x_n for n Xn+1 = - x² - 4, write Newton's formula…

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Q: 7 circle r = cos 6 and circle r = sin 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Question* An equation of the tangent plane to the surface x² + xy +22²-3-0 at the point P, (1,1,1)…

A: Basic differentiation is used along with the stated formula

Q: Given the function below: Approximate the following using h = 0.2: f(x) = ex cos(x²) a. First…

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Q: O This option Question Consider the function: f(x,y)=-²+²-by+y-1. If 4011) is a critical point of ƒ…

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Q: If the revenue function for a particular commodity is R(p) = q(p) = Give a reason for your answer. R…

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Q: Find the area inside the inner loop of r = +3 10sinθ

A: Concept: The area inside the loop is given by the formula A=12∫αβr2dθ Where r represents the loop…

Q: x³ + 8x² Consider the function f(x) = may be helpful to factor by grouping. 81x648 x + 8 O Answer…

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Q: Use spherical coordinates to evaluate 2πT fff c2-r r+z (r² + z²) ³/ rdz dr de.

A: Given ∫02π∫12∫02-rr+zr2+z232rdzdrdθ

Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Find a linear equation that expresses the relationship between the temperature in degrees Celsius Ca…

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Q: T 2 T . 3 -2x²+2x-2 (x² +1) sin x 1-2 cos x dx dx

A: We know that integration power rule is  Integration of xn is xn+1/n+1.     Here i attached the…

Q: Determine whether the following series converges or diverges. Σ k=0 2k 2 k +1

A: To determine the series convergence or divergence.

Q: If V f(x, y) = (x² - 1,√y-1), then f have two critical points (1, 1) and (-1, 1). Select one: O True…

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Q: 3. The differential equation dy = =X dx 1. will produce a family of quadratic functions. II. will…

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Q: (a) Find the volume of the solids generated by revolving the region bounded by the curves y = 4-x²,…

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Q: - (b) Let R be the region bounded by the curves y Midpoint Rule with n= 4 to estimate the area of R.…

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Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: Evaluate 112x (2x - y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 6

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Q: Crude oil imports to one country from another for 2009-2013 could be approximated by the following…

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Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: 2. The slope of the tangent line to a curve at any point (x, y) on the curve is. What is the…

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 190 +3.6x and R(x) =…

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Q: 5) You drop a basketball from a height of 8 feet, and let it fall and bounce. Every bounce, the ball…

A: We have to find the distance travelled.

Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-³, 66e-4, 127e-5,218e-6, ... ii)…

A: The given sequence is;  3e-1, 10e-2, 29e-3, 66e-4, 127e-5, 218e-6, ...

Q: Find the graph of the polynomial function f(x) = -x3.

A: we write a table for x=-3 to x=3 and calculate the values of f(x) for all these values and plot the…

Q: 2. [ sinxcos’xdx

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Q: bn || идә

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Q: Enter in form a + bi the complex number z which has an absolute value 2 and argument 2/3 π.

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Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

Q: Г.Г 0 0 2 2 y dydx = 2. Select one: O True O False

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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: an = (1 + 2,60) ² =

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Q: 2. Given a tetrahedron with vertices (0,0,0), (3, 0, 0), (0,6 0), and (0, 0, 4). Express the volume…

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Q: Test the series for convergence or divergence. Select the correct answer. The series is convergent…

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Q: A sales representative for a company that produces blenders can sell x units of their deluxe model…

A: To marginal profit is the derivative of the profit function, which is based on the cost function and…

Q: Model the data using an exponential function f(x) = Abx. f(x) = X f(x) 0 1 128 64 2 32

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Q: The graph of y = f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain…

A: Given data ÷ Graph of y=fx is shown with dashed line curve. We need to graph  y=2fx+1-4

Q: V. Consider the power series +∞0 n=1 (x + 1)" +1 1. Determine whether the resulting series when x =…

A: We need to find convergence and radius of convergence.

Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

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Q: Choose the gradient of the function : f(x, y) = ex² Select one: O None of these ○ (6ye+²+³y², 2xer²…

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Q: What is the value of the integral. Select one: 64 O 16 O None of these 0 32 8 CC 00 2rydydz? D 03 S

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: The diameter of the base of a circular cylinder is 8 fteet and the elements are inclined to the base…

A: We have to find the volume of the cylinder.