Complete the table of values below. Then, sketch the graph of r = 2 - 3 cos in polar coordinate system using these values. T 2n 3 57 5″ 3 003 2π 3 T 6 k 201 ||| 77 96 k

Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

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Q: Let L(z) be the linearization of f(x) = sinz+1 at the point z=. Find L(π/2). 0-1 O pi/2-1 O pi/2 + 1…

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Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

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Q: A nonnegative function f has domain (0, ∞). At each point P(x, y) on the graph of f, the tangent…

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Q: Write an equation for the function graphed below. The y intercept is at (0,-0.5) 5 1 -7 -6 -5 -4 4 y…

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Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

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Q: Classify the following differential equation: Second order, nonlinear Nonlinear, homogeneous Linear,…

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Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: The graph of r = -2+3 cos is symmetric with respect to the O x-axis and origin origin only

A: given r=-2+3cos∅   it is the equation of limacon.

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

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Q: What is the graph of r cos 0 + r sin 0 = 1? Oline with slope m-1 and intercept b=0 Oline with slope…

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A: First we calculate partial derivative.

Q: Find two numbers whose sum is a, if the product of the square of one by the cube of the other is to…

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

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Q: Points A and B 1000 m apart are plotted on a straight highway running East and West. From A, the…

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Q: f sin 3x cos 5x dx ¹29 sin 3x cos 5x + cos 3xsin 5x + C 16 sin 5xcos 5x + C O. 16 sin 3x cos 3x + O…

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Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: Consider a point in Cartesian coordinates given by (3√3, -3, -8). Find a corresponding spherical…

A: Solve the following

Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Arearegion = [*^f(x) dx + [²8(x) x +…

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Q: y = (x²-2x) (In x³-3 tan x) x√x

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Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

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Q: x² In solving for the antiderivative of f(x)= √√4-x² using trigonometric substitution, f(x) dx is…

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Q: 2x² 3x²-5x (a)y=-

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Q: Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+…

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Q: Illustrate the angle 5π Answer in 20mins

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: anser

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Q: Flag question A grocery owner raises the prices of his goods by 10%. Then he starts his Christmas…

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Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: 9 Calculate the expression. Show the solutions. Use the calculator for checking only. 【(XY)¹ - Z)¹…

A: Topic:- matrix algebra

Q: 5. Evaluate the following integrals: 'T (a) cos(x) dx dy 4y (b) ₁. [ [² e-1²-y² dy dx (Hint: Use…

A: (a) ∫0π4∫4yπ cos(x)dxdy=∫0π4sin(x)4yπ…

Q: 2 I 2 Vr +25 dz

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Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: a.) [ sec²(t − 1) dt b.) 2 √t c.) [ sin(Int)

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Q: The value of x for which the series OA2<x<4. OB. 2<x<3 or 3 < x≤ 4. OC2<x<3 or 3 <x<4. OD. x<2 or…

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Q: Find all points on the curve y = x3 + 2x2 -6x +5 where is the tangent is parallel to the line 2x + y…

A: The given curve y=x3+2x2-6x+5