V: replace the following polar equations by equivalent Cartesian equation, then describe or identify the graphs: 2. rsino = -1

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Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

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A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

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Q: If cos(0) and 0 is in the 3rd quadrant, find the exact value for sin(0). COS

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Q: Find the area between the y-axis and the graph X = -y + 5y – 4 on the interval [1, 4]. 3- 2- 54 3-2 ...

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Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x,y) = ...

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Q: Consider the following equation. x² + xy +y° = 1 Find the value of y at the point where X = 1.

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Q: The amount of pollutant M in the atmosphere is decreasing with time t according to the formula M = e...

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Q: En=2 (x + 7)" 2" 3/ 2 - 1 n

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Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(...

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Q: I. Define the function S(In(r + 1)] cosha+ tan a ,r 2 0 (sinh r) sec- (r- 2) S(r) = %3D ,r < 0 1. Sh...

A: Since you have posted multiple questions, we will answer the first one for you, to get the remaining...

Q: sin(x) Evaluate lim,→0

A: We have to find the value of the limit                limx→0sinxx3 Now,        put x=0   in sinxx3  ...

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Consider the initial value problem dy = e y, dæ y(2) = 0. Which of the following is a solution to th...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: y = 3x?+1 ; (0,1)

A: Solution ) slope of the tangent line by the limit definition = m = (dy/dx) [ x = 0 becuase we have (...

Q: Solve the inequation 1 1 x - 1 4 and enter the solution set in the box below as an interval. For thi...

A: 1x-1&lt;-14  

Q: Given the given cost function C(x)=4850+780x+1x2C(x)=4850+780x+1x2 and the demand function p(x)=2340...

A: Given problem:- Given the given cost function C(x)=4850+780x+x2 and the demand function p(x)=2340   ...

Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g (x) = 2x – 4 ...

A: Area bounded by the graphs f(x)=5x-10 and g(x)=2x-4

Q: F(rn) = ¤n - | f(In) for For the function f(x) r2 + 2, write Newton's formula as In i 1 = f (In). so...

A: By the Newtown formula to find the Xn+1.

Q: S 3x° /1 – 2r3 x3 – 3x 1. Let f(x) = if a 0

A: solution:-f(x)=3x51-2x3   if x≤0     x3-3x              if x&gt;0∫-11f(x)dx=∫-10f(x)dx+∫01f(x)dxnow,...

Q: 1. Using Logarithmic Differentiation, find dy given that dx -3 sec-(VT) y = 4*(log2 r)sech z"

A: This is a problem related to differentiation of the function. Based on the logarithm property we wil...

Q: (x+ 7)" n En=2 2" 3/ 2 1

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Q: Classify and Solve; Find the complete solution for the ODE ( D³-5D²+8D-4),y=e²x +2e+3e*)

A: This is a problem of differential equation. Total solution of this equation is sum of complimentary ...

Q: x°-27 x²+3x+9 x²+9x+18 a. Divide: 9-x2 b. Solve: 3x+2-2/x=0 C. Solve: 3x - 24 x=0

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Q: Define the function (In(r+ 1)] cosh r+ tan r ,r20 f(r) = (sinh r) sec (r - 2) 0 >r 1. Show that f is...

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Q: 2 cos-r, if -1 0. r+ cos r

A: This question is based on function continuity and differentiability.

Q: Find the area of the region bounded by the graphs of the equations: x = 4 – y? x = y – 2

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Q: Find df, dg, ď²f and d g, if sing f +g = x+y, sinf

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Q: Write an equation for the polynomial graphed below 6+ 4 2- -1 -2+ -3 -4 -5 -6+ y(x) =

A: Find your answer below 

Q: Find lim X'+125 X5 x2-25

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Q: equation by integration x? dy + 3xy=x %3D

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Q: Simplify and write the final equation in general form. y - 5 = 1(x - (-7)) %3D y- 5 = 1x +7 %3D The ...

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at ...

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Q: ffis a one-to-one function with f(4) = 6 and f'(4) = 3, find the equation of the line tangent to y =...

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Q: sinh(3a) s. Solve for f(21)(x) given that f(x) = 3

A: Topic = Derivative

Q: Solve the following systems of equations. Sketch their graphs and identify the intersection points i...

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Q: Find the area under the graph y =- on the interval 1, 3|. 2+ 1 1 3 4 O -1.100 -0.100 O 0.100 O 1.100...

A: Find the area under the graph y= 1/x on the interval [1,3] .

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: a) same direction as -i+3j Magnitude of given vector square root of (12+32)  square root of 10 = 3.1...

Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P &amp; Q is the funct...

Q: onsider the hyperbola of equation: - h)? (y – k)2 1 a2 hose foci are (-3, 2) and (9, 2), and the dis...

A: Topic:- hyperbolic geometry

Q: 14. x = -y + 4y, x = 0 3 1 1 2 3 2.

A: Consider   

Q: Determine the derivative of the function f log. tan 5m + sec 5m| with respect to m. %3D sec (5m) о 5...

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Q: Find dy/dx of the following function. Implicit differentiation x3 + y3 = 8

A: Differentiation on both sides

Q: Evaluate dz. 23 x2+1

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Q: Q3) A) Find the Range and the Domain (for two only).

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Q: Example 5: Find the equation of the plane passing through the points (1, 2, -3), (2, 3, 1), and (0, ...

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