[[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

Q: Find the arc length parameter along the curve from the point where t= 0 by evaluating the integral s…

A: Arc length

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A: This question is based on indefinite integral.

Q: Write a in the form a = a-T+anN at the given value of t without finding T and N. r(t) = (9e' cos…

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Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: 3 Vx dx 2 x+1 Evaluate

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Q: Guten tho plane Pusith equatim ze +y -z= 3. and line Leaithuymmetrio oquatim p = 1 - y =g. determene…

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Q: Evaluate the integral: 2T So * cos? (0)d0 *Input answer as decimal round-off to 2 decimal places

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Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

A: Solution is given below:

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola æ = 2y –…

A: topic- Area bounded by curves

Q: A man 2 m tall is walking away from a lamppost which is 6 m tall at a rate of 2m/s. Find the rate of…

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Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: We have to calculate radius and height

Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. 1. 2…

A: We use the formula of coshx and sinhx to simplify the given expression.

Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: 4. For the following motion equations = 2t° - 15t + 36t – 22, t>0 a. Find the velocity and…

A: A detailed solution is given below.

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

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Q: The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3|…

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Q: Vnx" 00 3" n=0

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Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

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Q: O Find the limit lim f(x). Select the correct choice below and, if necessary, fill in the answer box…

A: we have to find the limit

Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

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Q: 1-cos 4x Find the derivative of y sin 4x

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Q: 16x²+9y²=144, (first quadrant area)

A: ∫a2-x2 dx = 12xa2-x2 +a22 sin-1xa+C

Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

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Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: Find and classify the critical points of the function: f(z, y) = 1' + y* – 144zy + 4 Local maximums:…

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Q: Use the tabular method to evaluate the integral |* + 2x – 1) cos(42)dx

A: Explanation of the answer is as follows

Q: y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

Q: 3.2 Inductive Reasoning Use inductive reasoning to make a conjecture. Note: The numbers 1, 2, 3, 4,…

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Q: Please Attach the Venn Diagram of the given problem including the complete solutions to answer the…

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Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Find, by slicing, the volume of a cone whose height is 5 cm and whose base radius is 1 cm. Slice the…

A: The slicing cone has height 5 cm and radius 1 cm

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: |+ 3t -dt 11t Simplify the integrand by dividing eac .5 |+ 3t -dt = 11t |dt Type an exact answer.)

A: Given:∫1+3t511tdt

Q: The equation r(t) = (3t + 5) i+ (4t - 5) j+(4t) k is the position of a particle in space at time t.…

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Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

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Q: cot X dy Cos X Sinx

A: To solve the given differential equation.

Q: f f(X) = sin 2x then f(X) = CoS (2x) f f(X) = sin 3x then f(X) = -3 cos (3x f f(x) = 2 cos x then…

A: a. Given f(x)=sin2x   Then f'(x)= 2 cos2x    B.   F(x) = sin3x       F'(x)= 3 cos3x

Q: A moon is in orbit around a planet. The moon's orbit has a semimajor axis of 3.5×10° m and has an…

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Q: problem

A: We have to find the value of the given following conditions according to the given information

Q: Find the equation for the horizontal asymptote of the graph of the function. (If an answer does not…

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Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

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Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: The equation r(t) = (2t + 3) i + (P - 9) j+ (t) k is the position of a particle in space at time t.…

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: Find each limit. Use - o or ∞ when appropriate. 4x-4 f(x) = - (x- 4)? (A) lim f(x) (B) lim f(x) (C)…

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Q: Write a in the form a = a-T+a,N at the given value of t without finding Tand N. r(t) = (3e'cos t)i+…

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