By using substitution method, evaluate: (a) dx (e3x+x3)3 (In x) dx (b) 4x

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A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

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Q: Consider a polynomial f (x) = ax³ – bx +c. Find the value of b if f' (2) = 0 and fl" (2) =44. -

A: The solution is given in the next step.

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Q: f(x) = 3 x6 e-4 x* with respect to x. f '(x) = 18x^5 e Submit Answer Incorrect. Tries 1/8 Previous T...

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Q: 3. feVin e+2ln² e +ln€ de

A: The given integral is: I=∫θ-1ln3θ+2ln2θ+lnθ dθ

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Q: Variable Separable (6) (xy -3y +x – 3)y' = xy + 2y - x- 2

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

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Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

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A: Topic:- application of derivatives

Q: S In²sinx -dx , the integrand is In the expression /= tanx Insinx A tanx B -Insin3x+C 3 In?sinx tanx...

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Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

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Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

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Q: x3(75 − 14x4)5 dx

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A: Given question :-  Are the rational numbers closed under addition ?  

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Q: f(–5) = f(4) = 0; f '(-0.5) = 0, f '(x) 0 for x > -0.5 What is the function with those given c...

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Q: Question Evaluate the following limit using L'Hospital's rule. 1 3 lim z-0 1lez – 11 33x Provide an ...

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Q: Given the set of information, find a linear equation f(x) satisfying the conditions, if possible. (I...

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