Solve the problem. 3. 3 2f(u) du and Suppose that f(x) dx = -4. Find - f(u) du . -2; -4 -8; -7 -8; 4 2; 4

Q: A) L{t//4} : (5/4)! a+5 B) L{u-2(t)} C) L{e"u(t)} 8- 5 3! D) L{t*e"} = E) e{icm (;)} 5Cos s(s – 2)…

A: A is false  B is false  C is true  D is false  E is false  The detailed solution is as follows…

Q: B $S₁ (x+2)(x-1)² = √[=42+²1+ (-₁2). (x 1)² ]dx, 1 x-1 A B C If -io 9 -ja -ia 2/3 1 2|3 2/3 2 the…

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Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

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Q: (d) n= 5, p=0.45, X=0 P(X) = www. Part: 4 / 5 Part 5 of 5 (e) n = 3. p=0.48, X 1 P(X) =

A: We have given that,  X be the random variable from binomial distribution.  Then,  We will find the…

Q: 2 15 32. [(x + V1+ x? 5 32. f(*+ dx is equal to V1+x? 2.

A: Introduction :

Q: 5s + 7 (s + 2)2 A. f(t) = e-2t (5+ 7t) C. f (t) = e-2* (5 – 7t) B. f(t) = e-2t (5 + 3t) D. f(t) =…

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Q: d?y =6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

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Q: Se-Xdx а. - e-X + C b. (-x+1) e-x+1 + C e-X+1 + C In e C. d. None of the above

A: we know that ∫eaxdx =eaxa+C

Q: 10- The value of x³ J₁(x) dx is. 1-0 a) 8/(2) b) 8/₁(2) c) 8/2(2) d. 8/3 (2)

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Q: 6x² – 2x +5 dx? "hat is 2x + 1 (A) 2 15 + 2 In |2x + 1| + C 2 3 5 15 -x + 4 In |2r +1| + C (B 2 3 15…

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Q: 5e2*dx 9e4x – 6e 2× + 1 4х A 3e2 B 3e2x – 2 © 3e2* – 1 D 9e * – 6e2* + 1 E Е) None

A: We have to find indefinite integral and choose correct option

Q: dy -1, then -2x If y= csc-(e")+Ve-1. then - Select one: -2 e+1 e2x. -1 e-1 2-1 -1

A: Given, y = csc-1ex + e2x-1  We have to find dydx.

Q: .6 | f(x)dx=- 15 and 2 | f(x)dx=5, then | f(x)dx=? If A) 19/2 B) 25/2 C) 9/2 D) 5/2

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Q: Higher Order L.D.E (D-9)3y=0

A: The solution is given as

Q: Ax) b- a -dx = Ax)+f(a+b- x) 2

A: To prove:∫ab f(x)f(x)+f(a+b−x)dx=b−a2 Let, I=∫ab f(x)f(x)+f(a+b−x)dx    ...(1) Since, we know that…

Q: Which of the following is not true? If (x) – 8 (x) ]dx = - frena- fawra (x) dx – A 8 (x)dh If (x) ·…

A: Here we will check one by one as shown below

Q: 2 2 Va? +x + Va? -x² If y = Ja? +x? - Va .2 Show that dy 2a 1+ 2 a? dx 3 Va* – x*

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Q: e (2e – 1) dx (ear – 2)*(e³< + 1)+ ,3x A 2e3x – 1 В 2e 6x – e 3x © (e3 – 2)4 +(1 +x?) @ E ,6x – e 3x…

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Q: S 5x² dx 10 x +c O (5/3) x 3 + c O 5x3 +c none of the above

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Q: 0, f(t) = t2 L{f(t)} l, s > 0

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Q: (-1)" 10. n A) 0 В) -1 C) 1 D) 2 E) Divergent

A: we have to solve the following

Q: (2g(x)-3, xsI x>1" "rx)dx = 18, then g(x)dx = Let f(x) - %3D A) 5. B) 6. C) 7. D) 8. E) 9. A) B) c)…

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Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

Q: e x + > 2 , x 0

A: The given equation isx+1x&gt;2x≠0

Q: 1² – y (a) f(r,y) = 3 (b) g(x,y) = e"-z

A: Now , We will check the functions .

Q: Example H·W : Solve the following D-E 2) + xy = 6x/y %3D бх у

A: The given differential equation is    dydx+xy=6xy →        1  we have to solve this.Bernoullis…

Q: 4. Suppose y satisfies the equation = 3y. Also when x=0, y=0, then which of the followings dx can be…

A: An initial value problem is an ordinary differential equation with an initial condition which…

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the…

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Q: 26. 4 1+ n A. 1 В. С. e* D. -4 e Е. Divergent 4-

A: limn→∞(1+4n)n

Q: •a² +7 ra²+5 0.98Va-21 0.98v-21 dæ. dx 0, then a2+3 a2 +3

A: Use the property of integral and solve the inequality.

Q: d?y =6- 9x and which passes through the points (0, -1) dx2 Find the equation of the curve for which…

A: Differential equations

Q: 2. m. n. e G)° dm dn 2 2 m² + m². e(m) + 2n²e)° т

A: Given differential equation, dmdn=2·m·n·enm2m2+m2·enm2+2n2enm2 To find the solution of differential…

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: 5. S(e2r – e-2r)²dr S(e?r -2т е 2х 6. S dx 4-Зе2х

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Q: 9. If I = x° e-x5 dx u e-u du, then 23 a + 5 b + 5 A A

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Q: f(x) = e−x,    n = 5

A: Given:          fx=e-x ,n=5 A Maclaurin series is given by fx=∑n=0∞fnan!xn Here fx≈Px=∑n=05fnan!xn…

Q: S (e3 In = + e3) dx = A. 3 + +C B. + 3e3z + C C. + 3e* +C С. 4 D. + +C 4 e3z E. 주 + + C 3

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Q: L -1 (s+2) 4 1 t3e-2t 3 .a O t3e-2t b O t'e-2t 3t3e-2t .d O

A: I have used shifting theorem

Q: 19. If you are given that F(x) = S dx, where a > 0 and F(0) = a then the value of F( (a)a (b) a (c)…

A: Given that, F(x) = int x/[sqrt (a^2 - x^2)] dx where a &gt; 0 F(0) = 3a/2 Then we get, F(x) = - sqrt…

Q: d(a*) Suppose a E R, where a>0, a ± 1. What is ? dr A a* B xa*-1 xa*-1. In(a) D a*- In(a)

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Q: Ifg(x) = 2x + 4, then which statement is true? o g" (1) = dg(x) dy d dx dg(x) o f"(x) = d dg(x) o g"…

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Q: determine L−1[F].

A:

Q: Evaluate the definite integral

A: Given,

Q: Which of the following is not true? (A) - |f(x) dx- J8 (x) dx B) 8 (x) dx C) (x)dx=k (D) O…

A: some properties of the integration are given, we have to find the not true statement.

Q: .6 15 | f(x)dx= and 2 | f(x)dx=5, then f(x)dx=? If A) 25/2 в) 5/2 C) 19/2 D 9/2

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Q: 2 y ey? - 4x d A , R=[0,2]x[0,/8] R .A T (e + e-8) .B 2 (e®)-2 .C e + e .D ( e8 + e 8 -8 - 2 ) 00

A: We will evaluate the integral

Q: Evaluate (4D5 – 23D3 – 33D² – 17D – 3)y = 0 - - | | 3x a. y = (C1 + C2 + C3x²)e¬* + (C4x + C5)e7 %3D…

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Q: Suppose y varies directly with x. If x is 30 when y is 10, what is x when y is 9? a. 3 b. 27 c.…

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Q: If L(1*tet)=y(s), then y(s)=(1/s)*(1/?) a) (s-1) b) -(s-1) c) (s-1)2 d) -(s-1)2 e) s

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Q: A Moving to another question will save this response. Question 8 If | fx) dx = 2 and Find g(x) dx =…

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