Sketch the curve with the given polar equation by first sketching the graph of r as a function of 8 in Cartesian coordinates. 20=81

Q: justify your answers to the following: (b) (a) Find intervals where fis increasing or decreasing.…

A: We have to find the monotone intervals, extrema points, concavity and inflection points.

Q: Find the critical points, domain endpoints, and local extreme values for the function. y=3x√ √36-x2…

A: The solution is shown in step-2

Q: 9. y" - y' - 2y = 4x²; y(0) = 1, y'(0) = 4

A: The given differential equation is,Note that as per the rules, we are supposed to answer the first…

Q: Write the expression in radical notation. z^(-(4)/(5))

A: The mathematical form to write  as  is called radical form.

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x 20y4z = 1 3x - 15y 3z = -4 O…

A: The given planes are

Q: Find the center of mass of the following plane region with variable density. Describe the…

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Q: Find an antiderivative of the given function. 2. 21x^2 - 8x + 3 3. 8/7x^9/7

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Q: 0 f. f(t) = t-1 3-t t 2

A:

Q: Find the distance between the complex numbers in the complex plane. -3+, -9 + 3/

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: Consider the function f(x) = (a) f is concave up for a € (b) f is concave down for x € 3x² +5 (c)…

A: first derivative

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A:

Q: Determine whether each statement is true or false. You have one submission for each statement. (a)…

A: Given query is to find statement true or false.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: c. lim X-2 3x²-√9x4+x+2 x³+2x²

A: Given

Q: lim f(x) = 1 lim g(x) = -2 lim_h(x) = 0, X-3 X→ 3 X-3 find the limits, if they exist. (If an answer…

A:

Q: 5. Find the area of the region enclosed by the graphs of y-√+1 and y-jz-2 and vertical lines - 1 and…

A: To find the area of the region enclosed by the graphs of  and  and vertical lines  and .

Q: The independent variable x is missing in the given differential equation. (y + 4)y" = (y')²

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Q: This is incorrect

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: QUESTION 3 Find the requested value. Find f(-8) for √3x, if x ≤-1 x-5, if x>-1 f(x) =. 03 24 -13 -24

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Q: Find the area under the given curve over the indicated interval. y=x²; [0,5]

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A:

Q: Use identities to simplify the expression. 1 - sin e csc e 0 cos²0 cot 0 csc 0 tan 0 sec 0 sin 2

A: By using identities to simplify the following expression.

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: CAN YOU RE-ANSWER #1 USING THE AUXILIARY METHOD OR SOMETHING? PLS SEE THE EXAMPLES IN THE PHOTOS.

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Q: lim (1 – 3x)¹/(2x) x→0 1 1 √e 1 e 1 eve

A:

Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 100°, a =…

A:

Q: A piece of wire of length 51 is cut, and the resulting two pieces are formed to make a circle and a…

A: The solution is shown in step-2

Q: For the function​ below, find ​a) the critical​ numbers; ​b) the open intervals where the function…

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Q: Determine the parametric equations of the line of intersection of the planes x + 2y + z = 1 and x -…

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Q: Use the Chain Rule to find dw/dt. w=ln(sqrt(x^2+y^2+z^2)) x=6sin(t), y=9cos(t), z=8tan(t)   dw/dt=?

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Q: The US Postal Service will accept a box for domestic shipping only if the sum of its length and…

A: Let b be length of the box and a be the length of the side of the square.The volume V of the box…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Application of Integration

Q: What is the result of the following limit? O lim 3x x→∞ √9x² 1 3 1 3 23 2|3 +∞ 4x + 4

A:

Q: Suppose $3,000 is invested at 9% compounded continuously. (a) What will the accumulated amount be…

A: When money is compounded continuously then the formula for the amount after t years,Here A means the…

Q: QI @ Find fx and fy for the following function: (i) f(x,y)=(x²-1)(y + 2) (ii) f(x,y)= ex+y+1 (iii)…

A:

Q: Write the expression in terms of first powers of cosine. Do not use decimals in your answer. Make…

A: Given:We are required to:

Q: r(t) = 103-10/2 + 200 + 60 (0 ≤ t ≤ 12) 9 81 where t is measured in months, with t= 0 corresponding…

A: We can solve the given problem by using differentiation formulas and chain rule of differentiation.

Q: Find ||FI|. F(x, y) = yi + xj Sketch several representative vectors in the vector field. y -4 -4 2…

A: Given function is F(x,y) = yi + xj

Q: Decide whether or not the equation has a circle as its graph. If it does, give the center and the…

A: The given equation is .We have to identify the graph of the equation.

Q: Use a computer algebra system to find u xv and a unit vector orthogonal to u and v. (Round your…

A: Given data

Q: Find all intersection points of the following curves. b. Find the area of the entire region that…

A:

Q: d dx arctan(11x)

A: We are required to find:

Q: Confirm that the Integral Test can be applied to the series. In(n) n n=1

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Q: Find the consumers' surplus at a price level of $5 for the price-supply equation p = D(x) = .02x +…

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Q: Find the exact value for the expression under the given conditions. 3 sin (a +ß), cosa = for a in…

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Q: If f(x) = f'(x) = f'(4) = 6x² + 3x +5 √I then:

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Q: e. lim x* sin ¹ 137) 2x²+3x x-0

A: In this question, we want to find the limit of the given expression.

Q: The picture below shows an angle. Which of the answers is coterminal with that angle? (-1,0) 4 50.…

A: