The polar curves r = 1 - cos and r = 1 + cos are shown in the figure above. Which of the following expressions gives the total area of the shaded regions?

Q: Consider - 9 dx. Using rationalizing substitution, we let z = √√e*-9. √√e²-96 What will be the form…

A: The integration of the integral is √(ex-9).

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…

A: Given query is to find rate of change of volume.

Q: 16 The range of the function f (x)=6x-8 is all integers numbers. صواب O خطأ

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Q: Given [ƒ(x) a f(x) dx = -5, and g(x)={3x+2,355 / 3x+2,3≤x≤5 integral. Find the value of k that…

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: Find [-2,3) n (-1,5) (3,5) .A (-4,-1) BO [-2,5) .CO (-1,3)

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Q: 2. Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed,…

A: solution:-left end pointRiemann sumnumber of rectanglen=5∆t=10-05=2t0=0, t1=2,  t2=4,  t3=6,  t4=8,…

Q: prove that dv v 21/12 الله duz 2 2

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Q: Given the graph of y = f(x), sketch the graph of y=√√f(x).

A: We have to make graph of f(x).

Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

A: Substitute f(x) in the limit formula

Q: 3.sin (2 4. (4 sin 3x - x) dx

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Q: An equation for the vertical line through (-3,3) is x=-3 صواب O خطأ

A: Given: An equation for the vertical line through (-3,3) is x=-3.

Q: At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and the…

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Q: There are two extremely important sequences that we will discuss in this chapter: arithmetic…

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Q: Y Calculate y'. Simplify your solution. (x² + 1)² (2x + 1)² (3x − 1)5

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Q: 1. Using n = 4 equal-width rectangles, approximate [(x²+8) dx . Use the left end-point of each…

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Q: Evaluate the iterated double integral 2 b.) √ √ ² sinπTy ³ dydx

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Q: The LCM (y2-16, y2 +8y +16 (y-4) (y+4) G

A: Given: y2-16,y2+8y+16 Steps for finding LCM: Find all the prime factors of each given number.…

Q: Given ~ √x³ √4-x² dx. Ⓒ-² (4-2²) dz Ⓒ√2 (4-2) 1/² d Ⓒ/(x++4+²) dz Ⓒ -√2² (4-2²) ³/2 dz dx. If we let…

A: topic- indefinite integral

Q: Find by implicit differentiation, given that x²y - 2y4 = -4. Your answer could involve both x and y.…

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Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

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Q: 5. Consider the function if x € Q f(x)= if x # Q. Show that f is not Riemann integrable on [0, 1]. n…

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Q: 1.Find dy/dx of the following: 5. y = Incose* tan x 6. y = ln(1-xe) 7. y=eta et 4. y= In x 8.…

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Q: 10) x² + y²-28x-6y + 189=0

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Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

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Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

A: We have to  find the solutions

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: Using the given data we have: where x is the horizontal length and y is the length of the string.

Q: 4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre…

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Q: List the first five terms of the sequence. - 1. a₁ = 2, a₂ = 1, an+1 = an an-1

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Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

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Q: Find the domain of the function. (Enter your answer using interval notation.) g(t) = √√√7 - t-√√3+t…

A: For square root function to be defined the term in the square root should be positive

Q: ∞ Find the interval of convergence for n=1 The interval of convergence is a E (x − 4)" n² 3n

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Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: To estimate drug dosages, doctors use a patient’s body surface area (BSA)(in meters squared) using…

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Q: Use the given conditions to write an equation for the line in point-slope form. 5 4 Passing through…

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Q: 5 To-4x D 5-2x NILS (6z²) dz dy dx

A: solution:-∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x∫05-2x-y26z2dzdydx=∫052∫010-4x6z3305-2x-y2dydx=∫0…

Q: Compute. 13 2) Σ k

A: Given, ∑k=113k2

Q: The total amount of money in circulation for the years 1990-2012 can be closely approximated by…

A: This question is related to rate of change, we will solve it using given information.

Q: Find the cross product a × b. a = (9, 0, -4), b = (0, 8, 0) Verify that it is orthogonal to both a…

A:

Q: The range of the function f (x)=6x-8 is all integers numbers. صواب

A: Here, the given statement is: The range of the function f(x)=6x-8 is all the integer numbers.

Q: The general solution of y" + y = sec³ x

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Q: Use your calculator to determine how many solutions each system has. Then without a calculator,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: Evaluate the integral b. 0 (z sin x + z cos y)dzdydx

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Q: Compute. 13 Σκ k k = 0

A: We have to find out  sum

Q: 3) Σ

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Q: The sum of two positive numbers is 20. Find the numbers if the product of the square of one and the…

A: topic- application of derivatives

Q: LAW OF GROWTH AND DECAY A radioactive material decays at a rate proportional to the amount present.…

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Q: a/ Q ((Laplace)) 1 A²² [5 (5²+25+5)]

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We have to find the series.

Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)