V3 which of the following is equal to J, 1 dx ? 1+16x? 4 A. 3 O Option 1 Option 2 C. D. 12 Option 3 Option 4 B.

Q: QNO. 2 Differentiate cwith respect to variable involved

A: 1- Given- y=x2-1x+1x3+132 To Find- The derivative of the above expression. Identity Used-…

Q: It is given that h(1) = 12 and f h' (x)dx = 17, determine the value of h(4 O 21 0 5 O 29 O 37

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Q: Which of the following statements are TRUE? Select all that apply O fe da = e +C O fe3 e3= dæ = e3-…

A: We know that ∫ekxdx=1kekx+C (General integral formula)From this ∫e3xdx=13*e3x+C

Q: 2. Which of the following is equal to? X Y Y X XY

A: In second question , we can solve for 'x'. Firstly take L.C.M and cancel the terms and solve.…

Q: H.W. Solue the followi'ng 3. px+9y

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

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Q: Which of the following is equal to f, i* dx? 8. Option 1 Option 2 C. D.

A: ∫011+e-xexdx

Q: Which of the following is equivalent to - (Vx (P(x)VQ (x?),

A: we will use demorgan law here 1)   ∼(P∧Q)=(∼P)∨(∼Q) 2)  ∼(P∨Q)=(∼P)∧(∼Q)

Q: Q2: EVALUATE * SJs(x) dx a.

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Q: Q.3 Show that Je dx=r

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Q: A 3. Given that ABAT ADOT, OT = 15, BT = 12, and TD = 9 15 Find the value of x (AO). イーs B 12 T 9.

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Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: dy If dx and y(2) = 5, then y А. х2 — у? %3D —-21 В. х2 + у? %3D 21 С. у2 — х? %3D11.5 D. x2 — у?…

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Q: Show that C@st-) is ving

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Q: Q.I Evaluate: P,(x)dx=

A: Since it is not clear which part you are asking, so, I am solving only first part as per our…

Q: 13.) f A=32.2 6=2 of AABC. %3D A. 129.5 vnits? B. 102.8 units C. 64.7 units? D.32.6 units 2.

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Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

Q: O d. Evaluate 3 dz (2+1)V교+2z -2 oa vSarsec (플) +c + C b. 3 arsec (1) + C C. 3 arsec (팔) +C V3 arsec…

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Q: Use Simpson's rules to find the value of b if o f(x)dx - 0.5 and h=D0.5 Select one: а. 0.5 b. 1.5 С.…

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Q: Which of the following is equal to da? In(x) + c +c 20 +0 с

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Q: dy is O The degsee of (I+ ) ca) o b) I ce) 2 (d) 3 .

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Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: Using the following values: r*dx = 60 ; zdx = 6 ; dx = 2, evaluate (r – 3x + 2)dx. Оа. 28 O b. 56…

A: Given integral ∫24 x3 dx  = 60   ∫24x dx =6∫24 dx=2

Q: dw -is equal to: dv If w = 5u, then 5w5 v(1 – 20u In v) 5w v(1 – 20w5 In v)

A: Given, w= v5w⁴ To find, dw/dv

Q: EX:- Show that f dw = VE Terfcb) -erf ca] (ntb dw = E [erfcb) -erfca)] (ngby. Sol:- 9. ē" dw 2. Ff…

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Q: →r^[SA ~ (r→P)]? e positio

A: Introduction: A truth table demonstrates how the truth or falsity of a compound statement is…

Q: 8. S 3tan 3z r sec? 32 da

A: As per the guidelines I can solve only first question

Q: =dx V7x +c O None 10 VA +c 10A +c

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Q: Vhat is the point of intersection of the given DE (9x – 4y + 4)dx + (y – 2x elect the correct…

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Q: 3. If f f(x)dx = 7, then , (2f(x) + 5) dx = %3D %3D (A) 14 (В) 19 (C) 24 (D) 29 (E) 57

A: Integration.

Q: ADEF = ADSR E F D ZF = ? DR = ? %3D

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Q: ompute J(t? +t – to ce there is no x b) =

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: /Q27 cot? Vx dx = – csc Vx – Vĩ + c True False Leave Question

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Q: 8) sin C = %D 13 27

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Q: If df between = 2 and df within = 14, using a= 0.05, F crit = a.  19.42 b. 3.74 c. 4.60 d. 6.51

A: We know that if k-1 is degree of freedom for between sum of squares and N-k is degree of freedom for…

Q: State, with reason, whether the following statement is true or false: S(x)dx = xf"(x)– J xf"(x)dx .

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Q: Using the substitution u = x, [ dx is equal to which of the following? U =Vx

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Q: Gevernment agencies report that the avernge kength ot a trout in a Certain lake is 2l inches with…

A: Test is that whether the trout population has an average length greater than 21 inches. Given that…

Q: f (x) = cx? , Dx = {-1,1,2} %3D 1.c =? 2. P(0 < X < 2) =? 3. Var (X) =?

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Q: 33 39 2) X = ? b) XG=? c) SS>? %3D 45 56 d) V=7 6 5 3 3 e) S=? ) s2=? %3D to

A: A measure of central tendency is a single value that attempts to describe a set of data by…

Q: dx If S V(4+x?)3 = Sh(0) d0, then h(0) de %3D A 1 D 4 (B

A: Given : ∫dx(4 + x2)3 = ∫h(θ) dθ   To find ∫0π2 h(θ) dθ.

Q: L(2tcos2t+sin2t)= Select one: a. 452 (s?+4)? b. 45 (5? + 4) C. 452 (s² +4) d. 45 (s2+4)

A: Use the property of Laplace Transform: For functions f(t), g(t) and constants a, b:  By using the…

Q: Q2. Which diagram shows incorrect z value(s)? 0.028 0025 0.005 0.005 257 2.57 0.01 257 2.32 O A. A О…

A: The appropriate option is to be chosen based on the z-scores and considering the area below the…

Q: dx Evaluate: Jo J1+Vx 11. A. 6.667 B. 5.333 C. 4.667 D. 7.333

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Q: B. ex3 which of the follaning is equal to (x?ex dx? ぐヤ3 P.eJx 3.

A: To solve the integral we use substitution method of integration. Now the given integral is  ∫x2ex3…

Q: Find d.r for r 3 (VAr? - I)

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Q: Q 2 Evaluate: 2nsin(пx?) -dxdy. x2

A: A integral is given

Q: Ex Find the Salution of the sliff. equ. + 2x° cosx, given that yf z dx

A: Here we have to solve differential equation