Find Unit Vector Find a vector (u) with magnitude 6 in the opposite direction as 7 = (-5, 4) Give EXACT answer. You do NOT have to simplify your radicals! 11

Q: Please solve part d)

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A: y''+2y'+2y=12+ex

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A: To find the solution of the differential equation using undetermined coefficients.

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Q: Evaluate the function at the given value of the Independent variable. Simplify the results. (If an…

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Q: Examine the function for relative extrema. f(x, y) = 2x² + 7y² - 4x − 14y + 12 (x, y, z) = ((No…

A: Given function: fx, y=2x2+7y2-4x-14y+12

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Q: A) Let g(x)=x² (5x+24 (2x + 8 a) lim x-1 b) lim X-0 a) lim g(x), lim g(x) x--3 x-0 B) Find the…

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Q: Consider the following function. f(x) = x¹/⁹ + 5 (a) Find the critical numbers of f. (Enter your…

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Q: Solve the given differential equation by undetermined coefficients. y" - 2y' - 3y = 4ex - 6 y(x) = 4

A: See this solution in below

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A: We need to find general solution.

Q: Use implicit differentiation to find dz/dx and dz/dy. X - z = arctan(yz) 218 дх 3: ду = = 1 22 yz +1…

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Q: (4x²y² - x² + 4xy² - x) dx + (2xy + x + 2y + 1)dy = 0

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Use the indicated change of variables to evaluate the double integral. 56xy dA x = 1/2 (u + v) y =…

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Q: Find the radius and interval of convergence of the power series 】 (−1)” (x+3)” √2n n=1

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

Q: Problem 2.1 Find the vertical asymptotes of the function Then graph the function. Y x² +1 3x - 2x2

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Q: Use cylindrical coordinates to find the mass of the solid Q of density p. ₂-(+² x² + y² ≤ 16, x ≥ 0,…

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Q: Evaluate. limx---> 0 tan x - x/ x^3 show the steps in paper

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: Given equation:- x5-x-5=0 , x1=1

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A: We have to find the conservative vector field.

Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 40 minu count grows…

A: We will solve.

Q: Example 13 Les A-[³3] and [3] A= B= Find AB and BA if they exist.

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

Q: Find the unit vector in the direction of =(-4,-2) Give EXACT answer. You do NOT have to simplify…

A: Topic = Vector

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Q: As shown below, one of the sides has length x (in meters). Side along river (a) Find a function that…

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Q: Perform Vector Operations in Terms of Components Write the vector shown below as a combination of…

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Q: 8²f Let f(x, y) = cos(xe¹²) + cos(x + ey²), find əxəy O a. O b. O C. O d. -2yey² (sin(xe¹²) - x…

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Q: Find the domain and the range of the function. (Enter your answers using Interval notation.)…

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Q: Differentiate the following function: f'(x) = f(x) = e" + ce 니

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Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

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Q: Let f(x) = { tan^−1 ⁡(2x) if x ≥ 0, ax+b if x < 0. For which values of a and b is f(x)…

A: topic- limits and derivatives