x = cos 0 + sin 20 + 2, y = sin 0+ cos 20 + 2, 0 = π y = 1

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Q: r = 3 sin 20.

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Q: 4 Use implicit differentiation to solve for y' if r4y2 - x³y + 2xy³ = (Show your work)

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Q: Test the series for convergence or divergen Σ n = 1 47 3 n!

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Q: Find the most general antiderivative or indefinite integral. f(s sin 6x-sec²x) dx Sc sin 6x-sec²x)…

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Q: 5. 41 Sand is being poured in a pile in the shape of a cone at the rate of 7m³/minute. -Th³, where h…

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Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

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Q: If y = (x² - sin x)¹ then y' = 3 O 4(x² - sin x)³(2x - cos x) O 4(2x - cos x)³ (x² - sin x) ○ 4(2x -…

A: The given function is

Q: The point P is on the unit circle. If the y-coordinate of P is x = and P is in quadrant II, then

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-33x² +168x on…

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

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Q: ex - e-x x-∞ 2ex + 4e¯x Calculate the limit: lim A. 1/2 B. -1/2 C. 1/4 D. -1/4

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Q: Krite the Taylor series for fox) = sincx? at x = π/₂ a { cn (x-1/₂)^. find the first 5 coefficients.

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Q: There is one point of intersection in the graphs of the conics. (x + 1)² + (y - 3)² = 25 (y - 3)² =…

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Q: Test the series for convergence or divergence. Σ k = 1 O convergent divergent gk 3k + 7k

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Q: (b) H re dr

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Q: (a) Consider a rectangle of length L inches and width W inches. Find a formula for the perimeter of…

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Q: (a) Calculate each of the following limits: 3x²+2x-1 x→∞ 4x²2 + 3x – 1 3x³ + 2x - 1 4x² + 3x - 1 1.…

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Q: At what point does the curve have maxium curvature? y=5ex (x,y)=(___) What happens to the…

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Q: The temperature of the air in Boise is given by the function f(t,h) = 0.01ht²0.12ht - 0.6ht² + 12t +…

A: Solution is given below.

Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

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Q: Evaluate yz dx - xz dy + xy dz, where C is the curve x=e¹, y=e³¹, z=e¹, 0≤t≤1

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Q: The value, V, of a Tiffany lamp, worth $225 in 1975, increases at 15% per year. Its value in dollars…

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Q: The management of National Electric has determined that the daily marginal cost function associated…

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Q: Evaluate yz dx -xz dy + xy dz, where C is the curve . x=e¹, y=e³¹, z=e¹, 0≤t≤1

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Q: Find the derivative of y with respect to x. y = csc ¹(x²+1), X>0

A: Find the derivative of y with respect to x.y=csc−1⁡(x2+1),x>0

Q: the [w 0 01 The determinate of this matrix 2 3 2 equals to L2 2 21 constant number. he value of…

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Q: Evaluate (3x +2y)dx + (2x - y)dy, where C is the curve x = y³ from (0,0), to (1,1)

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Q: A Find T, N, and x for the plane curve r(t) = ti+ In (cost) j. - <t< 2 T=¹+0) N(1) = (¹+1 k(t)=

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Q: Find the derivative. y = ln (9+x5) 5 9+x 5x4 In(9+x5)

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Q: write a Riemann sum and then a definite integral representing the area of the region, using the…

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Q: is there a way to solve this without the disk method?

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A: given:F(x) is the antiderivative of f(x).that implies the integration of f(x) is F(x).F(1)=0

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Q: Find the derivative. 3x-9 y 6x+3 MORE O3(6x + 3)-6(3x - 9) 01 2 6(3x-9)-3(6x+3) (6x+3)²…

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Q: Find the surface area of the part of the sphere x² +y² + z² = 25 that lies above the cone z = x² +…

A: Find the surface area of the part of the sphere x2+y2+z2=25that lies above the cone z=x2+y2

Q: 6 The shaded region has area ½ unit². Find the value of m. Ay 0 m y=sin x π X

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Q: How were the boundaries on the integral calculated?

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Q: Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What…

A: Given derivative of a  function as