6) f(x) = x² + x g(x) = 3x + 1 %3D f(g(3)) = ? %3D a) 110 b) 37 c) 25 o (P

Q: 0, 0<x<1/n, fn(x) = { /n, 1/n < x < 2/n, 2/n < x<1. 0,

A: Pointwise convergent:- A sequence of function is pointwise convergent, if its every point sequence…

Q: 4. 5 Show that if y%= x+4 then dx (x+4)** %3D %3D 16. dx. 2 (x+4)² **n Hence, find the value of|

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Q: is given by Oxy = E(XY) HxHy.

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Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)

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Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

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A:

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: 1 Integrate with respect to x. 4+ 25(3x +1)²

A:

Q: 13. Find ML. J 3x + 11 K N 45 7, 10x - 12

A: According to guide and we should have been able to do only one question at a time #13

Q: 1 V5x + 4

A: We have  ∫1x dx=2x.

Q: 1. Evaluate the ff. integral f, (5x6 + 3x³ + 6)dx ·1

A:

Q: 1. Find for y = In () (A)+ 1 3x-2 X-1 1 x-1-x2 (B) x2 - -- x-1 x (х-1) x2 x2(x-1) x-1 1 X-2 (D) (E )…

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Q: Chapter 5, Section 5.5, Question 022 Find [10f(x)-g(x)]dx if = 7 and 8(x)dx = 1. [10f(x)-g(x)]dx =l

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 5. Suppose that f (x) dx = = 5, f (x) dx = -3, g(x) dx = -1, and g(x) dx = 2. Compute | (2f(2) –…

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Q: 36 – y8 -dy y5 Integrate:

A: SOLUTION-

Q: Find extreme value(s) of z = 2x¡ + x,xX2 + 4x3 + x,x2 + x} + 2

A: Consider the provided question, According to you we need to solve only part (d). (d)

Q: (2x+4) + 1 x² +2x- 10 dx = x² (x² + 4x +5) (2x +4) +1) dx- x² + 4x+5, Consider dx evaluate | x² + 4x…

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Q: per integral test, SELECT ALL AP A) (-1)" B) none of these 8n2 + 3n + 3 (-1)" dz 8z2 + 3z + 3…

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Q: Give a clear and detailed solution of the intergral of e^-ct/m 2)

A: You want intergral of e^-ct/m. I am assumig the variable of integration is "t". That is, the task in…

Q: Find * In(x² + 2x + 2) dx (x + 1)² In|1 + (x + 1)²| x +1 In|1 + (x + 1)2| x + 1 + 2tan-(x + 1) +c…

A: I am attaching image so that you understand each and every step.

Q: 1 Find xIn(x15) dr. xln(x!5) 1 а. xIn(x!5) 1 -In] In(x!5) |+ C 15 1 dx = In] x'5 |+ C b. xln(x!5) 1…

A: Use the substitution method and integrate the given expression.

Q: In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different…

A:

Q: 1. Differentiate the following with respect to x: a. y= 5x - + 5Vx + 3p ex + In(x) - 7 (9)

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Q: Show that 3x2 +6x +2 = 3 (x+1) - by completing the square. Hence, evaluate the 2 integral dx. V3x? +…

A:

Q: In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different…

A: The events A and B are defined as follows: A : A batch is formed from two different lots B : A lot…

Q: By= In(Cx-2)

A:

Q: ar integral of the c 3 – 7D2 + 7D – 2

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Q: 2) y-Sy=-5xy* Type:? find general solution. 3

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Q: 11. Prove the absorption law x +xy=x using the other laws in Table 5.

A: To prove: x+xy=x We use the following identities (1) x=x·1 (2) 1+x=1 (3) xy+z=xy+xz    ( This is…

Q: 8. Compute using the trig. substitution S x2 -dx (1–x²)1/2

A:

Q: 2. Prove that the equation e + x° 0 has exactly one solution.

A:

Q: az given that yz*+x2z3 = eyz ax

A: H

Q: Find the general solution to the DE using the method of Variation of Parameters: у" - Зу" + Зу'…

A:

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: 4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is…

A: The given function is,

Q: dx Evaluate the integral: (+3x-7) A ++ In|3x-6|+C 5 +5x+! In/x-21 +C B 3 с +5x+31n|x-2|+C D x² + 5x…

A: You must have idea about logarithmic properties to simplify this expression. Understanding of…

Q: find The Six Solutious of The eq- 6 Z+27+2

A:

Q: 2 solve: csc x restricting attention to 0 < x < 2n 3

A: csc x ≥ 23.

Q: Ques tion 1 : that Given 2 x?y" + x y' + 3y= 0 show 2x* ylara) lanni)x ylurs) + (2n2.n +3) ym)-

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Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: 8. Theorem h° = %3D

A: The figure given below represents the circle. From the angle subtended by the same arc theorem, The…

Q: + 4 (A In(x² + 4) + C B arctan() + C (C) jarctan(;) + C -arctan() D arctan () + C

A:

Q: 7. Evaluate the integral. Vx2 – 25 dx х3

A: First we will make a trigonometric substitution of x=5*sec θ then we will solve it and integrate it.…

Q: Find the integration inner product on C[-3,3] of the given functions. f(x) = 16x g(x) = 3x² (f, g)…

A: Explanation of the answer is as follows

Q: 5. prove that d (-x) (+ x) = X dx dx d² dx² - x² +1

A:

Q: In the manufacturing of a chemical adhesive, 3% of all batches have raw materials from two different…

A: Given data in the manufacturing of a chemical adhesive 3% of all batches have raw materials from two…

Q: A) Vn +5 B) is larger than Vn + 5 1.

A:

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: 3. (Section 4.1) Evaluate each indefinite integral. (a) /202 (b) /(3e* + 2)dr 4x (c) / (182² + 6x +…

A: We have to solve in image