2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 5) Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If…

A: Note: Rate of change of volume of conical pile is equal to rate of change of sand pouring from the…

Q: x*)dx eTextbook and Media 2) Find the area of the region R. Give exact answer in fraction form. Area…

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Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

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Q: ds ds Draw a dependency diagram, and write a chain rule formula for др where s = g(x,y,z), x =…

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Q: to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that…

A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: x² –9 dx Given: r3

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

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Q: ∫ sin3 (x / 2) cos (x / 4) dx

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Q: (1 + 2x)e*dx, Using integration by parts and letting Given: u= -1 - 2x, dv = f (x) dx, then the…

A: The given integral,     ∫0∞1+2xex dx

Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: Sally is standing on a wharf that is 5m above the surface of the water. She is pulling on a rope…

A: Use the trigonometric ratios and application of derivative.

Q: w +x +4y +3z =5 2w +3x +y-z =1 w +2x -5y +4z = 3 w -3z =9

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

Q: Consider -(x Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: xy + y² dx dy Find the general solution of

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given: dx x3 Using trigonometric substitution, solve for the integral form in terms of 0.

A: This question can be solved by taking x=3secθ

Q: 3.) Find the area bounded by the curve y = 2x and y =x-4 a.) Using Vertical strips b.) Using…

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Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

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Q: Express the sum in sigma notation.-1/6+1/7-1/8+1/9-1/10

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Q: Find the indicated derivative. f (x) = (x³ – 5x + 2)(x² + x – 7); find f"(x). %3D

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Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A: The population's rate of change can be modeled bydpdt=-130 e-t30, where t is the time in days.

Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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Q: Given : S 6x³e**3 dx. Using integration by parts (S udv = uv – dv = 3g(x)dx find h(x) if ſ vdu =…

A: Let's find.

Q: Find the area in the first quandrant bound by the parabola y

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Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: |sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) sin(2x) 12 8 8. + C 4 sin(6x) sin(2x),…

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Q: If R is the region enclosed by x-axis, y = -3x and x = -2, then evaluate the following double…

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Q: 4-x III. Evaluate dx. V16-x2

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Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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Q: 3 // 7xyz² dxdydz ? What is the value of the integral 0. Select one: O 133/4 O 135/4 O 137/4 O 139/4…

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Q: cot vo csc? Vo de 3 Vo² (4 + cot² Ve)

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Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: 3 Find the arc length of the astroid: x = cos t, y = sinº t, 0 <t < 2T

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Q: 43x2-2x dx . | Evaluate x + 2

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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim, 3 f (x)=21 x→3 b) limx? -x+1=-5 c) lim x→2…

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Q: 41. Suppose that both f and g have inverses and that h(x) = (f o g)(x) = f(g(x)). Show that h has an…

A: Explanation of the answer is as follows

Q: For the function y = f(x) = 2e-0.3x (refer to the graph in the textbook), use definite integrals to…

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: x²-9 dx Given: x3 Using trigonometric substitution, solve for the integral form in terms of 0.

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Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

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Q: V4-x2 aluate dy dx using pol 2x-x2 prdinates.

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Q: The integral 15x* - x* - 43x – 19 (x + 1)2(x2 – 6x + 13) can be rewritten as

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