Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. (If an answer does not exist, enter DNE.) y = −6x + ex (x, y) =

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A: if a vector is of the form  a→=a1,a2  then a→=a12+a22 see  below the answer

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Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

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A: Note : according to our gauideline, i can solve oy first so please reroute the remaining question.…

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Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

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Q: 2x² +3 x(x - 1) dx

A: Do partial fraction then integrate

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Q: What function will you differentiate to get each function? 2. f(x) = 8x74x³ + 2x - 3 →

A: solution:-f(x)=8x7-4x3+2x-3antiderivative of f(x)F(x)=∫f(x)dx       =∫8x7-4x3+2x-3dx…

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Q: Evaluate each indefinite integral. 2. (9x8+ 3x² - 4x) dx

A: To Find : ∫9x8+3x2-4xdx   Note : ∫xndx=xn+1n+1  + C

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A: We can evaluate the given integral by using the substitution u = tan (x/2).

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Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: we have f(x) =4x3-6x2-10x+1

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Q: 17. Evaluate f-3x cos 2x dx a. --cos 2x - 3xsin 2x + C b. -cos 2x -sin 2x + C C. -cos 2x -³x sin 3x…

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1 Aim: To find  a such  function , whose derivative is f(x),…

Q: Additional Activities What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x²…

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Q: QI\ A\ Find Domain and Range for this function y √x²+2

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Q: Numerical Response #4: A close who will get to ride to grad in an girls in the limo then there are

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