Determine the value(s) of k such that the area of the parallelogram formed by the vectors a = (k + 1,1,-2) and - (k, 39) is 41. %3D

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Q: Find the derivative of the function g(x) 3+5x (2), 6 > Next Question

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A: Area(A)=∫-21x2-2x+3 dx

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A: The given DE is: x5y'+6x4y=ln(x)x...(1) x>0 & y(1)=5

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Q: I. Find y', y" and y"" of the following functions. a. y = 2x-x'+ 5 b. y = (r²+2) x-1 II. Use the cha...

A: I. (a).y=2x4-x3+5diff w.r.t xdydx=2(4x3)-3x2+0y'=8x3-3x2diff w.r.t x againy"=8(3x2)-3(2x)y"=24x2-6xd...

Q: Use the given graphs to sketch the parametric curve x=f(t), y= g (t). x=f(t) y =g(t) 2 2 -1 2 -2 -1 ...

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Q: D. • Evaluate the indefinite integral. x4-4x²+8x` dx and Identify what is the u=? and du=? Show the ...

A: Given: I=∫x4-4x2+8x2xdx   ...1 We know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xnd...

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of sol...

A: For infinite many solution ,  a1/a2 = b1/b2 = c1/c2   

Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers. +oo +oo (2n...

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Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A: 5/6 centroid

Q: Polyno (-x6+ x5+7x2 -9) / (x4)

A: Devide each term

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Q: If f(x) = 2x+11 then we can write %3D (x-1)(x²+x+1) Select one: O f(x) = 4 + x+1 x+x+1 O f(x) = + X-...

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Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

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Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

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Q: Evaluate the integral -drz.

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Q: Find the domain of the function using interval notation.   f(x)=−2x(x−3)(x−5)

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A: Explanation of the answer is as follows

Q: 10- y 8- 2-

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Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: ia=-1 A. Determine whether or not f is continuous at a. 1. f(x) = 2x² – 10; a = -4 %3D 2. f(x) = Vx ...

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A: Check each function that it has positive integer powe of x or not in its each term. 

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

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Q: 1.) Find the 30th derivative of y = e¯*

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Q: Determine whether it is divergent or convergent. Justify. (2n)! E(-1)" 2n+1 n=1

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Q: Let f(x) = 4 sec(7x) f'(x) =

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