Q/If you have the two matrices S M below, then the determinant of S*M is 22 17 S= 75 85 --[] 12 17 M= -[8⁰ /S*M/= 95 43 10 60 56 48 118 O Others O 420 O 230 O о о

Q: Question 7 What is the auxiliary equation associated with the differential equation y'"'- 3y + 4y=0?…

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Q: Consider the planes given by the equations 3y - x - 4z = 3, x - 2y +z = 4. (a) Find a vector u…

A: Given that equation of plane 3y-x-4z=3x-2y+z=4Solution :-x+3y-4z=3 x-2y+z=4normal vector of plane 1…

Q: 1. Solve the Differential Equations. (3x² - 2y²) y' = 2xy

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Q: 53. Prove the following limit formula for e: e = lim (1 + x) ¹/x x⇒0

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Q: A bucket is filled with sand so that the total mass (sand and bucket) is 10 kgs. The bucket is to be…

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Q: What is the auxiliary equation associated with the differential equation y'' - 3y"'+4y=0? A n³-3m²=0…

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Q: What is the order of the differential equation x²dy/dx-2xy"=0?? A) 3 B) 1 2 D) 4

A: Given differential equation is: x2dydx-2xy''=0   The order of a differential equation is the order…

Q: The Hershey Company is the largest US producer of chocolate. In 2017, annual net sales were 7.986…

A: Please see the below picture for detailed solution.

Q: Find d²y| dx² d'y dx² x=2 = , where y = = P 4x5 - 2x². 4

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Q: For both parts, sketch and shade the 2D region, draw a typical disk/washer, and set up the integral…

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Q: (a) Given that 3 + 2log2 x = log2 y, show that y = 8x2. b) Hence, or otherwise, find the roots α…

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Q: We have ¹₁ d = = 0. the eal

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Q: 8 28. Σ2-12 k=1

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Q: Consider the graph of the function /(x) below. Which of the following is true? 1. lim f(x)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the left-hand side of the…

Q: Find the derivative of the function. f(x)=√x-5√√x f'(x)

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Q: Determine the value of ksuchthatf(x) = Blank 1 Add your answer 7x-2 ifx ≤ 1 kx² ifx > 1…

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Q: 23. f(x) = (1+x)¹/4

A: Concept: The Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk In this case…

Q: 3. The derivative of the function y A. TRUE x²+2x+1 x²–2x+1 is equal to y': = B. FALSE -4(x+1)…

A: The given function is; y=(x2+2x+1)/(x2-2x+1).

Q: x-L^=(x) 8

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Q: Find a and b such that f is differentiable everywhere. 8 cos(x), x < 0 ax + b, X 20 a b = || f(x)

A: Since the function is differentiable everywhere so it will be differentiable at x=0

Q: X ME n! 3 11

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Q: ). Calculate the integral. (Use C for the constant of integration.) dx x 16x4 − 1…

A: SOLUTION-

Q: For the pair of functions f(x) and g(x), find the following. f(x) g(x) = x² + 1 f(g(x)) .) g(f(x))…

A: f(x)=7x and g(x)=x4+1

Q: Q4) Find the volume of the solid generated by revolving region bounded by curve y=√x and the line…

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Q: Sin (x+y) house buy and at - dx up no Please

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: The function f is defined for all in the interval 3 < x < 6. Which of the following statements, if…

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Q: 3 X-8 X-2

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Q: 5. 0= n n!

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Q: 15) feve dx 18) [e-√² dx

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…

Q: All points of plane PL are equidistance from point (2,-1,1) and (3,1,5), find equation of PL

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Q: i. f(x) = 1 1 – 2x

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Q: Whenzeroismultipliedtothe lim - 3x 20 + 1 x²-16 , the answeris

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Q: lim _e¯x (x³ – x² +9) X18

A: We have to use the concept of limits

Q: Compute the surface area or revulsion about the x axis over the interval

A: This is a problem related to integral. Please follow the procedure given below.

Q: Find a domain where f(x) √2+1 is one-to-one, and find a formula for the inverse restricted to this…

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Q: 4 Solve for y(x) y"-y-16=0

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Q: 33. Σ &"(x − 2)" n=12

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Q: 3) Find the following 00 i) ii) iii) dx x1.001 2 dx 124x x² + 4 -00 2x e-x² dx

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Q: Σ k=0 k k + 10 Η

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Q: 10. Find the amplitude (a) and period (T) of the following function f(t)=2cos(720xt-6)

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Q: M8 n- = n2 n n+n 5

A: Given:        ∑n=1∞n2-nn5+n taking n as common   =∑n=1∞nn-1nn4+1     =∑n=1∞n-1n4+1

Q: Find the general solution of the Differential Equations: dy dx 3)(x+1). 3x · y = e³x (x + 1)²

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Q: 8 n=1 (−1)n-1 n¹/3

A: The given series is summation of (-1)n-1/n1/3, n from 1 to infinity.

Q: 2 s x sin x²√√cos³ x² + 3 cos² x² + 3 cos x² + 1

A: I have stated the used formulas in the solution

Q: ]: Show that the following functions are linearly dependent f₁(x) = tanx, f₂(x) = -tanx, f(x) =…

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Q: m=1 4 m! + 4m

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Q: 生 二三 2 1

A: The given series is sumnation of 1/(n2-1) , n from 4 to infinity.

Q: C. Determine the differential equation on which the general solution is given or describe below by…

A: Since you have asked to answer question no. 4, we will solve that question.Question 4.We need to…

Q: Find the given higher-order derivative. ƒ(³)(x) = √√√x³, ƒ(4) (x) f (4)(x) =

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Q: Is it possible to use the fundamental theorem of calc to find the area between the graph of f(x) = |…

A: calc to find the area between the graph of f(x) = | x | -1/2 and the x axis, for all x between -1…