The Cartesian coordinates of a point is (4, - 4√3). This point in polar coordinates can be represented by 0 (4, 11) 6 0 (4, 5) 0 (8,5) 0 (8, 117) 6

Q: Evaluate using Partial Fraction Decomposition: (- 2. -dx

A: Use partial fraction to evaluate the integral

Q: nverse for the following functions. If it does not exist, show why. f(x)=2x-1 f(x)=√x-3 f(x) = |x-1|…

A: Topic:- calculus

Q: Find the modulus and argument of (a) Z₁ = -√3+√ and (b) 2₂ = 4+ Y j Hence express Z₁ Z2 and 2₁/22 in…

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Q: Critical Points: Determine the Critical points and its classification. Determine a, b, c and d so…

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Q: f(x csc² 2x - x cos x cos 2x)dx

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Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: A population of deer grow according to the model N(t) 12(5 + 3t) 1 +.04t 1 where t is in years and N…

A: Let's solve by using diffrentials.

Q: (d) If f'(x) = g'(x) for 0 < x < 1 then f(x) = g(x) for 0 < x < 1. True False

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Q: Evaluate using Partial Fraction Decomposition: S x² (x+1)²(x-1) dx

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Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

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Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

A: We have to find the sum

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: an isosceles triangle! 9. Find an equation of the sphere that passes through the point (4,3,-1) and…

A: Given problems:- 9. Find an equation of the sphere that passes through the point (4,3,-1) and has…

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry

Q: (2) Consider the function where a, b are constants. g(t) = if t 1

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Q: To test this series for convergence n n=1 √n² +1 8 You could use the Limit Comparison Test,…

A: We will solve this question using limit comparision test.

Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: 4. Find the Taylor series for f(x) = ln(1 + x) centered at a = 3. Give the first 5 terms of the…

A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Above question is solved.

Q: Find the Volume: Rotate the region bounded by y = 7 - x², x=-2 and x = 2 and the x-axis about the…

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Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: By using Chain Rule, find au/ax, au/ay, du/az at (x, y, z)=(√√3,2,1) U= P-q q-r p= x+y+z q=x-y+z,…

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Q: Get a similar question = y = 5√x. and the change in y, Ay when x = 2 and Ax = 0.2 nd the…

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Q: Determine the area below y = 3 + 2x - x² and above the x-axis

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 36 that lies above the plane z =…

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Q: 10 5 Let A 4 1 -3 k 6-2 Find the values of k for which A is invertible. O Ais invertible ifk # 27.2.…

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Q: Express the repeating decimal as a fraction. 0.474747...

A: Let's express as a fraction.

Q: Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

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Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

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Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: What are the fourth roots of -3 + 3√//3i?

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Q: Vector a is expressed in magnitude and direction form as a =(√33, 130°).

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Q: By using spherical coordinates, find the volume of the solid bounded below by cone z=√√x² + y² and…

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Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

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Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Given :L=0.1 HR=70  ohmE=30 volti(0)=0

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

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Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A: We have to find solutions

Q: If y = (sin x)e, what is dy ? dx

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: 4. 5. 1 X√(x)}² (x)²-49 dx 1 √9+8x-x² dx

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Q: A particle start its motion from rest under the action of constant force. if the distance covered in…

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Q: Solve the following integrals: 1. f-7e*dx 2. (2ex-6x) dx √(3¹) dx 3. 4. f 8x+1dx 5. f=dx X 6.…

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Q: KIN KIN 0 2 d2 sinr do dr dọ

A: A detailed solution is given below.

Q: 2 Evaluate f S t(1+²in t) dt 1+ Int+C O + C O 2 (1+In t) + C O2 ln | 1 + lnt | +C 2 (1+In t)

A: Evaluate the integral

Q: 5. Find the residues of the following: a. 2-2 z(1-2) at z = 0; at z = 1

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