cos 3t dt 5 + 3 sin 3t Ocos 3t

Q: If the definite integral of (1 + sin y)dy with lower limit equal to zero is π+2, its upper limit is…

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Q: differentiate the function R(q) = 9lnq

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: The given curves are; x+y=5, y=0, x=0   So, the bounded region is as shown below.   Apply the disk…

Q: 1. For the vectors v = and u = a. Find vou b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: S eln (1-t) 1-t - dt ed to you in any form

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Q: If s(t) = 4t³ - 6t² - 24t + 5, where t> 0 represent the position of a particle traveling along a…

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Q: S dx √4x² - 49 x > 7

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Q: A poster of area 960 cm² has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the…

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Q: Express the vector v with initial point P and terminal point Q in component form. P(3, 3), Q(5, 5)

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Q: sketch the graph of fox) = 2 1+x²²

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Q: 6. Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: We have to set up the integral for volume.

Q: S₂ 10 x 4x²8x +9 in14 (x-1)² +51 + √5 tan¹ (²²) + C Option 1 In 14 (x-1)² +51 + √5 tan¹ (2x = ²2) +…

A: SOLUTION-

Q: 3x²+2 0 2x²+4x+3 In 121 3 So Option 1 In 131 2 Option 3 None of the above dx Option 2 2 In 131 2 2…

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Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Convert the Cartesian coordinate (-2,-4) to polar coordinates, 0≤ 0 0 r = Enter exact value. 0 =

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: y4 + y² − 1 y³ + y - dy

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Q: A rectangular metal tank with an open top is to hold 864 cubic feet of liquid. What are the…

A: SOLUTION-

Q: Sketch the region on the plane defined by the following integral. Then, switch the order of…

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Q: The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

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Q: into a conver the Following differential equation Perfect equation and then find general Solution…

A: Given

Q: . For the function f(x)=x 4 -5x 3 -9x 2 +2x+1determine the intervals of concavity and inflection…

A: f(x)=x 4 -5x 3 -9x 2 +2x+1

Q: Let Sketch the curve and find the length of this curve. r(t) = (t, 3 cost, 3 sin t), 0≤ t ≤ 2π.

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Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box  square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

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Q: # ZZ Convert the following equation in Cartesian (rectangular) coordinates into the equivalent…

A: Use trigonometry function

Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  Determine the coefficients…

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: Evaluate the following limit, if it exists. lim (8-1/2) x→6

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Q: 8) If f(x) = x(x-1)^3 , then which of the following statements is correct? A) f(x) has a point of…

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Q: F=x²y³z¹i-xyzj+(x+y+z)k

A: The vector field is F→=x2y3z4i^-xyzj^+(x+y+z)k^

Q: #6 Suppose the position of a projectile is expressed by the vector-valued function Describe how you…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

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Q: A rocket is fired vertically upward from the ground. The distances in feet that the rocket travels…

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Q: p and q are complex numbers such that pl = 7√2 and p+ql = 12√//3. On what interval must g fall on? O…

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Q: -4 -3 -2 -1 NWA -1

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Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of…

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Q: A sales analyst determines that the revenue from sales of fruit smoothies is given by - 70x² + 420x…

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: To find the solution of the given differential equation.

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefin -3 -6 -2 6 619 1 4 -4 -4

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Q: Find the general Solution of the complement of the following differential equation y"- 3y"+9y'+ 13…

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Q: In Exercises 1 and 2, compute the solution of the given IVP. d²y 1. +9y2 cos(3t), y(0)=2, y'(0) = -9…

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

A: We have to find dimension of rectangle which maximize the area of given rectangle.

Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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Q: these is closed? OnA_n where A_n=(0,1+1/n) OnB_n where B_n=[0,1+1/n) OUC_n where C_n= [(2n+1)/n, 3]…

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