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

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx 2.2 dy dx −y=ex/2 159

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Q: Find the value پر 2 2x+3+| dx

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Q: f(z) The residues of 4z (z − 1)(z + 2)² 4/9,-4/9 O 4/9.4/9 O -4/9, 4/9 O -4/9,-4/9 O 4/7,-4/7 O

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Q: Find the Wronskian of the functions f(t) = 6e sin(t) and g(t) = et cos(t). NOTE: Your answer must be…

A: The given functions are;  f(t)=6etsint and g(t)=etcost.

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: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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

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Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ and b are orthogonal, parallel or neither. b)[ >]…

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Q: Use a system of linear equations with two variables and two equations to solve. 204 students…

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Q: a. (f+g) (x)  the problem is f(x)=3x+4; g(x)= 2x-3

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Q: In x dx

A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

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: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Tutorial Exercise Complete the given relative frequency distribution and compute the stated relative…

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Q: So dx VL-4X2

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: The equation (x − 1)² + (y − 4)² + (z − 3)² = 25, - is an equation of the sphere with center C(1,4,…

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: [ 2 cos(2a) da = -4 sin(2x)+C. Select one: O True O False

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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

A: Solution is given below:

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: 3 A line passes through the point (-6, 4) and has a slope of 2 Write an equation in slope-intercept…

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Q: Given y 2x² find 4.1 The interval(s) on which / increases or decreases. 4.2 The local maxima and…

A: We need to explain function.

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: Find dr/dtheta for theta^(-7/9) + r^(-7/9) = -5

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: Consider the following function. f(x)=√x-1, (17,4) (a) Find an equation of the tangent line to the…

A: Here we have to find the equation of tangent line.

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: Given problem:- find the derivative of the function g(x, y, z) = 3ex cos(yz) ,at the point P0(0,0,0)…

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

A: Given

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot…

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Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

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Q: 1 - [5] and v₂ - [3]. = Let V₁ = [T(v₁)]B = ( be the matrix for T:R² R2 with respect to the basis B…

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Q: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: Which of the following is a unit vector parallel to the vector ? Select one: 8 81 81 2 0,-/> None…

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Q: The value of the definite integral 3 [² (3x² S is (3x² - 2x + 4)dx

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Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: We can answer the question as below.

Q: The vectors u = (5, −4, 0) and v = (5, -4,0) and v = (−4, −5, 4) are orthogonal. Select one: O True…

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Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

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Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

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Q: 26. Given g = a + w. |g| = 400, pointing in the direction N57°W. |w| = 100, coming from the…

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Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: SC₁+ Fuj³d₂ dn

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

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Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

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Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: Se³x cos (2x) dx 3x

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