Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two curves indicating the required region.

Q: 3. What is the distance from the line to the plane? 7-(2,3,8)+(1.1.1) 2x - 5y + 32 + 1 = 0

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A: Solve the given series as following:-

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Q: Set up, but do not evaluate, an integral that represents the length of the parametric curve Select…

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Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

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Q: Evaluate limx→∞ 3x^2 - x - 2/ 5x^2+4x+1

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: Find an algebraic expression equal to sec (csc-¹ (3x + 2)). T (You may assume that — < csc¯¹ (3x +…

A: The expression is  seccsc-13x+2

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. 2 1 f(x) 1 -1 -2 2 lim Find…

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Q: Question 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

Q: [ 2 cos(2a) da = -4 sin(2x)+C. Select one: O True O False

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Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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Q: Ted's Machine Shop purchased a computer to use in tuning engines. To finance the purchase, the…

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Q: əz and as functions of u and v if: ди dv z = 4e* ln y, x = ln(u cos v), y = u sin v H.W: find dz

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

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Q: dx dt Please give an exact answer. If z² = x³ + y², = dt 1, dy dt Provide your answer below: = -1,…

A: The objective of the question is evaluate the derivative of the given function at given point.

Q: Instruction: Integrate

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Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: 3 Find the Maclaurin series of .Write your answer in sigma notation. 1 + x O O O Σ(x)³n n=0 3…

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Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

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Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

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Q: S In (x) √xln(x)-x dx

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Q: Given the points A(-8, 2, 3) and B(-8, 2, -4). Question 3 b) Find the intersection of the line…

A: Question 3.The given points A-8,2,3 and B-8,2,-4.

Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: dy Find where y = csc dx Provide your answer below: dy dx = +9). 6x + 9

A: y = csc-(1/(6x+9)) find dy/dx = ?   here we use formula  dcsc-x/dx = -1/xx2-1   using this formula…

Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2&lt;x&lt;34for x≥3

Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: H.W: Evaluate the integral 2. 01 jj(x+y+ -1-1 (x+y+1)dxdy

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Q: Use the graph to determine whether each statement is true or false. lim f(x) = f(3) x → 3 True False…

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Q: 6. Mr.Eltohamy is the quarterback of the MPM2D1 touch football team. During the game, he passed the…

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Q: L sin2t cos3t

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Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

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Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

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A: Here we have to find the equation of tangent line.

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Q: If √²₁ √√1-y² x² + y² dxdy is changed to equivalent integral in polar coordinates, then the…

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Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: The evaluation of 2xe¹³ dxdy is 3e-1 O e-3 O e-1 O None of them O -3e C

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Q: L sin2t cos3t

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