SLx dxdy Evaluate the following double integrals by converting to polar coordinates.

Q: Find the area of the shaded region. y y = x' - 15 x 10 y = x (4, 4) -6 2 4 (-4, –4) -10 - 20 A = 20

A: We have to find area of shaded region.  That is, area between the curve (y = x3 - 15x )  And line (y...

Q: Use any appropriate method in finding the indicated solution of the following differential equations...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

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Q: Given the curve ax? = y³, find the shortest possible distance between the curve and the point (0,8a)...

A: I am attaching image so that you understand each and every step.

Q: Prove VZEC, V2|z|>|Re z| +|Im z| + |Im z| Vze C,

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Q: Find the limsup and liminf of the following sequence: sin a) an = n° n if n is odd п+1 b) an if n is...

A: a)an=nsin(nπ/2) b)an={n/(n+1) if n is odd             1/(n+1) if n is even} c)an=sin(nπ/3). Repost t...

Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: Consider the parallelepiped with adjacent edges u = 4i + 5j + k v = i+j+9k w = i+ 2j + 6k Find the v...

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Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the provide...

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

A: A computer loses 35% of of its value each year. If the computer cost $600 new, calculate its value a...

Q: Find the solution of the following differential equation by Laplace transform with itial conditions ...

A: To solve the differential equation dxdt+2x=2 by the use of Laplace form. Given information: The init...

Q: 1. 2(2y? + 5xy 2y + 4)dx + x(2x + 2y- 1)dy = 0 2. y(y+ 2x - 2)dx 2(x + y)dy = 0 3. xydx - (x² + 2y²)...

A: As per our guideline we supposed to answer only first question to get remaining kindly post again To...

Q: Suppose that the following is true about the function f: 1. So f(x)dx 2 II. S f(x)dr = -1 II. f(x)dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

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Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to...

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

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Q: ASK Find the volume V of the solid obtained by rotating the region bounded by the given curves about...

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Q: Suppose 8 is a real number constant. Evaluate the limits, writing your answer in terms of 3 where ap...

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Q: An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measure...

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Q: 4. (2y cos x + sintx) dx sinx dy 5. y' = 1 + 3ytanx %3D

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Q: Find dy/dx for thw following function

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Q: Determine the intervals on which the function is concave up or down and find the points of inflectio...

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Q: 180; 수i1 Question 8 Find the length and direction (when defined) of u × v. u = 4i + 2j + 8k, v = -i ...

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Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: SOLUTION

A: We will perform the integration by parts. 

Q: Vn 2(-1)" п — 1 n n n=2

A: Alternating Series Test: Let unn∈Nbe a monotonic decreasing sequence of positive real numbers conver...

Q: . In (3xy) %3D х+ x5

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Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .             ...

Q: Jean throws a boomerang whose trajectory is given by the vector function: F(t) = +5 cos (t),20+5 sin...

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Q: etermine if g is differentiable at x = 0 if -1 COS if – 1 0. x + cos x

A: Differentiable

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: nd an equation of the plane that passes through the given point and is perpendicular to the given ve...

A: Given point P(2,6,-9) i.e. x1=2, y1=6 and z1=-9Given vector is n=j i.e. c=1We know that equation of ...

Q: Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points...

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Q: sec xdx Which of the following is the same as which will lead us to the correct evaluation of this i...

A: This problem can be solved as follows:  

Q: Find a polynomial equation that passes through the points (1,3), (0,1), (1,3)

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Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Q: How did he get this amount please explain step by step and clear line please (Sin'o -cos'o ) do 4sin...

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Q: y sec2(tan-ly²) dy 1+y+ tan ( tan-ly²) + C A) True B False

A: We have to find the value of the integration  ∫ysec2tan-1y2dy1+y4 we find the value of the integrati...

Q: 1 )dx 4.

A: We will use substitution method to solve question 4.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 –...

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Q: f(x) : x?

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Q: 1. Express the integral S S f(x,y, z) dzdxdy as an iterated integral in the other five different way...

A: I1=∫02∫0y3∫0y2f(x,y,z) dz dx dy0≤y≤20≤x≤y30≤z≤y2I2=∫08∫0x3∫0y2f(x,y,z) dz dy dxx=y3,y=x30≤y≤x3y=0 →x...

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval ISIS4

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Q: 1. lim 3 2. lim 57 3. lim log r

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