consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the location using polar coordinates or explain why this is not possible

Q: Find the interval of convergence for the given power series. (* – 11)" n( – 10)" The series is…

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Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: 17 ind the Maclaurin series for f(x) = 1+x

A: Follow the procedure given below.

Q: 1. Let f(r, y) Find: I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a) (d) f(y+1,y)

A: Let fx,y=x-yx+y+1. Finda f2,1b f1,2c fa,ad fy+1,y

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

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Q: 4 - x -dx. 16 – x2 III. Evaluate

A: Solving

Q: Provide a step-by-step solution to the following differential equation (linear quation) 2(2xy + 4y…

A: To solve the following linear differential equation.22xy+4y-3 dx-x+22 dy=0

Q: 2 Evaluate the foltawing cartesian integrats by changing them inte equivalent Pelarintegrals: 2. 4-…

A: in polar coordinate x=r cosθy=r sinθ

Q: 4. Use limits to determine the values of a and b that guarantee the function below is continuous.…

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Q: Consider the ellipse 64a2 + 289y + 384x + 1156y – 16764 = 0 What are the foci of the ellipse? Enter…

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Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

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Q: Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

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Q: dy Suppose 12e3t and y(0) = 5. || dt What is y(2)? O 1505.7 O 1614.7 O 1635.7 O 1714.7

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Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: Evaluate S(5 – 3x) dx using geometry. | 1 3.

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Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: Identify the conic section -3x? – 12x - 5y = 37 Parabola Ellipse O Hyperbola What are the…

A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

Q: What is the derivative of the function f(x)= In(3x²) ? a. f'(x)= b. None of these. 1. f'(x)= бх rw-…

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Q: mlar

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Q: (1) [. | Solve the initial-value problem y" – 5y + 6y = 0, y(0) = -3 and y (0) = 2 %3D %3D %3D

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1

Q: Work Problem Write step-by-step solutions and justify your answers. Find the general solution of the…

A: The given differential equation is: y'''-3y''+2y'=0 So, we can also write as; D3-3D2+2Dy=0 The…

Q: Question 3 of 10 u(x) = (tan? x – x²)³ Select the correct response. 3(2 sec a tan x - 2.r)(tan? x-…

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

A: Solving

Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: 1 Write step-by-step solutions and justify your answers. (1) Solve the initial-value problem 3"…

A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

Q: For Item # 1- 2: The IOM company describes the cost C in pesos of producing x units by the function,…

A: Given cost function.

Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: dy 5. -2ty + 4e-t² dt y(0) = 3

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Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: The region enclosed by y = va and y = x is rotated about the x-axis. Choose the integral that can be…

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Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Find the radius and interval of convergence, R, of the series. En-1 2n

A: For radius of convergence we have to findlimn→∞an+1an&lt;1  in the form of x&lt;RAnd radius of…

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

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Q: Determine the value of c for which 70 13n lim (1+ T 00

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Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: 1 The series k=1 10n converges. True False

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Q: dy 4. dt + 2, y(1) = 3 t

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Q: Two people who want to meet each other will show up independently at a random time between 7am and…

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: 3. Find a power series representation for the function. (Give your power series representation…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 10 15 -10 -5 10 15 -5 10 -15 -20 Find an equation for the ellipse. Equation of the ellipse Preview…

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Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: An object with an initial velocity of v(1) = 2 has an acceleration of a(t ) = %3D ( 2t – 1) What is…

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Q: Problem Write step-by-step solutions and justify your answers. 'Solve the initial-value problem y" -…

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Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: log54 (x) can be a negative irrational number. Select one: O True O False

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Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

A: