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Q: 1 - cos 4x 1 + cos x dx

A: The given integral,     ∫1-cos4x1+cosxdx

Q: Calculate A) the divergence. B) the curl. C) the potential function f. D) Use the clause (C) to…

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

Q: There are 30 emoticons. If 15 of the emoticons show hapinnes, 10 show confusion and 5 show anger,…

A: The answer is given below:

Q: Eliminate the parameter t to find a Cartesian equation in the form * = f(y) for: [x(t) = −2+² ly(t)…

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Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

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Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

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

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Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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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: Find the general Solution of the complement of the following differential equation y"-y" - y'- 2y =…

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Q: 2. -4 1 3 -3

A: to evaluate: -431-3

Q: USING DISC METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: sketch the graph of fox) = 2 1+x²²

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Q: Please answer with complete solution. Let A be the curve containing of the line segment from (0, 0)…

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Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Given: Total length of fencing = 600 feet We know that area of a rectangle is length × width

Q: (x² + 4) dy 山 3. y(2) = 0

A: we know that ∫dxx2+a2=1atan-1xa+C,  where a>0 see below the answer and calculation

Q: ¹In(1 + x) -dx X

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Q: A certain drug is being administered intravenously to a hospital patient. mg Fluid containing 5 of…

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Q: p(x,y,z)=xz²+sin(y) ex e*

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Q: dy dx = x+1 2(y+3)

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Q: Looking for some advice on this problem please! By using derivative, determine the intervals of x…

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Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Concept: Initial value problem: An initial value problem is a difficulty in determining a function y…

Q: Convert the Cartesian coordinate (6,2) to polar coordinates, 0 ≤ 0 < 2π r= 2√10 Enter exact value.…

A: Given:    Coordinate : ( 6 , 2 )       0 ≤ θ &lt; 2π

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: 1 2 In|2|

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Q: Round-off your final answer to two decimal places 5. √3x + 4dr

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Q: L{f(t)} f(t) = e-t sin t = (s> -1)

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Q: 1 If sin(0) and is in the 4th quadrant, find cos(0) - 8 cos(0) = Enter your answer as a reduced…

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Q: Zxx-4Zxy-Zyy=0 Zxx+4Zxy+2ZyY=0 Zxx+Zyy=0 Zxx+6Zxy+9Zyy=0 Zxx-10zxy+26Zyy=0

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Q: The region D bounded by y=0, x=y - 1, X x = as given in the following figure. YA 3.0+ 2.5- 2.0+ 1.5+…

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Q: Convert r= 2 7 sin 9-cos 0 to rectangular form. Enter your answer in slope-intercept form by filling…

A: The given equation:r=27sinθ-cosθ.We need to convert it into rectangular form.

Q: hich among the sets is open? (,1) 1/n.....1/3,1/2,1}

A: Open sets are those sets which does not include the indicated values.

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: eiz 41. e

A: Find power series.

Q: Find the k-component of (curl F) for the following vector field on the plane. F = (Xex)i + (8y ex)j…

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Q: Find the value of the derivative of the function at the given point. 2 f(x) = 3x² − 4x; ( − 1,7) -…

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Q: Find the volume of a right pyramid that has a square base in the xy-plane. -1 ≤ x ≤ 1, −1≤ y ≤ 1,…

A: We have to find the volume of pyramid.

Q: I 2. Suppose that z is a function of r and y, and F(x2 - y², ry - 2², yz - 2²) = 0. Calculate and…

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Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: SxVx² √x² - 4 dx

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Q: dx (x² - 1)²

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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: solve by differential √226

A: Let's find value by using differential.

Q: The function √x² + 2x is equal to (x + 1)² + 1 Option 1 √(x + 1)² - 1 Option 2

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Q: The position of an object moving along a line is given by the function s(t)= - 16t+80t. Find the…

A: The objective of the question is determine the average velocity in the given intervals.

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: A-1 =1AadjA .

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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