Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5) Option 2

Q: True or False: The definite integral 2 L₁ (x + 36 is equal to Select one: O True False 2 [² (x +…

A: We can answer the question as below using the properties of integration.

Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: As the selling price of a product increases, demand decreases. Fewer people will buy a pro s more…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  and the revenue…

Q: (a) (b) Evaluate S 9xsin (2-3x)XAMIMATION dx. *1*: FIDENTIA Evaluate 1 9x² +6x+ AL 123 CALCULU by…

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Q: Find the dot product of the following vectors u and 7.

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Q: Find the limit. (HINT: Treat the expression as a fraction whose denominator is 1 and rationalize the…

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: 1) Evaluate the following iterated integral. 2/2 sin(2y) SS dydx y 0x

A: Use change of order of integration.

Q: [1 Q6: Find A1 where A = 3 2 -1 6 1 0 -2 4

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Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

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Q: Let f(x) = { 3x² + 2₁ 2x - 3, 3 be a piecewise function. Evaluate 5 if x < 3 if x ≥ 3 f(x)dx=

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Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: See this solution in below

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Question 3: A) Find the critical points of the DE: y' = y¹ − 5y³ + 4y². B) Classify each critical…

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Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 4, tan(x) < 0 sin (2x) =…

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Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: ① use First_principle to solve 강종 If y=45-35

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Evaluate the integral. 5x² √ 3²-x² dx

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Q: Complete the parametric equations for the line where the planes 8x + 11y + 4z 13x + 2y + 3z = 5…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Help 18 cubic function whose graph has horizontal tangents at (-2,6) and (2₁0). {Y= ax ³ + bx²²…

A: Let's solve.

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Given the points A(7, -2, -9 ) and B( 7, −2, 2 ). Question 3 a) [:] Write parametric and symmetric…

A: We have to find the equation of line and intersection of line and plane.

Q: can you please write it clearly for a better understanding

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Q: 30. Find the area bounded by the curve 5y²=16x and the curve y²=8x-24. A. 36 B. 25 C. 16 D. 14

A: Topic = Area

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

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Q: √2 3y 8-x²-y² ·SS S 0 0 x²+3y² 1. dzdxdy

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

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Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: The population of a city t years from now is predicted to be P(t) = 0.50t³ - 3t² + 3t + 200 thousand…

A: The given data is: Pt=0.50t3-3t2+3t+200 ..........(1)

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n=1

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

A: On his first three quizzes, Patrick earned a 15, 18, and 16. (A perfect score would have been 20…

Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Use integration to find the area between the functions y = x² and y = 3x + 4. Show your work. -4 YA…

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Q: Use any of the results in this section to evaluate the given integral along the indicated closed…

A: Cauchy’s Integral Theorem : If f(z) is an analytic function in a simply-connected region R, then…

Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2&lt;x≤356x-2, x&gt;3To find :w so that fx is continuous at…

Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: Find the function F that satisfies the following differential equations and initial conditions.…

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Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: Q1/ A- Represent the following data in a graph using the bar graph method. temperature today…

A: the graph is given below on x axis day represent  on y axis temperature represent   x axis - scale -…

Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Q2: Fill in the blanks : 1- ff f(x,y)dydx represents the. 2- y" +(3y')5 - sinx = 4 of order 3-ye…

A: Since multiple questions are asked I am answering first 3 subparts

Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: Find the solution of the following initial value problem. 100y" - y=0 y(-10) = 1, y'(-10) = -1 y(t)…

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