Let a = (5, 4, 2) and b = (-1, -2, -3), then 3a 5b (10, 2, -9). = - Select one: O True O False

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: ODE. Find the general solution of the following. Show complete solution 2. (x - 2y + 3)dx + (x-3)dy…

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Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: dy = sin(x+4) dx

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Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: Use linear approximation, the tangent line, to approximate √49.1 as follows: let f(x)=√x the…

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Q: Sinize da Cos2x-5 Cosse +4

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…

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Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: x cos 3x dx

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Q: Find the area of the region that is bounded above by the curve f(x) = (x + 2)² and the line g(x) = 4…

A: NOTE: Refresh your page if you can't see any equations. . here we have first, we need to find the…

Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

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

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Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: Problem 1. Solve these integrals using substitution (a) [ x(x r(x - 2)5dx, (b) [te²³² test dt.

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Q: True or False: We have Select one: O True O False 8 So vid 0 √xdx = 12.

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Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

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Q: sinx13 cOSX on the interval [0, π] Average value=

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

Q: 3. Let Compute each of the following IV. B-¹αoß a = B = 12 2 3 2 3 1 + 4 4 5 6) 6 3 54 2 3 1 2 4 4 5…

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Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: By using the compund interest formula

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

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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: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: This question is based on Compound interest formula.

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

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Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: Find the length of the curve for the interval 1 ≤ x ≤ 9 3 = √ √ √ ² ³ - 1 d dt 1 Select the correct…

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Q: 7 Given the geometric sequence: 35,7 3' 45 Find an explicit formula for an, where the first term is…

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Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

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Q: Solve: y" + 4y = x² + ex Yc=C1+C2. Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: L sin2t cos3t

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Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A: The volume is given by scalar triple product of vectors.

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

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Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: plz provide answer for question asap

A: Please see the below picture for detailed solution.

Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: The Cartesian equation equivalent of polar equation r = 4tane sece is y True False O

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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dady where R is the…

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Q: Suppose H(x) = (1-2x)7. Find two functions fand g such that (fog)(x) = H (x). Neither function can…

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Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution: