Question 15 3 If f (x) d = 6 and f (x) dx = 4, then 1 (3 + 2f (#)) dæ = dx 10 23 35 E 50 20

Q: Question 5 A | (x – 1) VE dx = AVE - +C B) zi + ei +C c)능z2 - z+C D E) 글교2+2x-a +C

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Q: QUESTION 7 By using completing the square | dx can be written as 4 + 2x + x? dx 4 + (x +2)² dx V5+…

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Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

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Q: dy IN QUESTIONS 1-13, FIND dx' 1. y = (2x³ – 9x + 1)°

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Q: 15 10 -L₂¹⁰ ƒ (² f(x)dx - where a = f(x)dx = Sª ƒ(2)dx and b

A: The given equation is ∫715fxdx-∫710fxdx=∫abfxdx. The limit property of definite integral states that…

Q: Question 2 Find dy at x=0 for each part below. dx x sec (ax+) a) (here the answer should be in terms…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you. If you…

Q: QUESTION 2 ay% = 4y³ + 7x dy Find dx

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Q: Question 2 Test the exactness of the following equation then solve the equation: (y In y) dx + (x –…

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Q: Question 19 d'y If y = x In x, find dx2 A) -1/x B -1/x2 1/x2 D 1/x

A: Product Rule of differentiation : d(u.v)dx =u.dvdx+dudx.v d(xn)dx=nxn-1 d(lnx)dx = 1x

Q: Question 25 Find dy/dx if y = 52x-1 A 52x-1 In 5 52x-1 In 25 C) 52x-1 In 10 52x-1 In 2

A: The given function y=52x-1

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: Question 15 Let w = x'+ V9x, y= w°. Find ay dx

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Q: Question No. 1: dy (x2 – 9)+ xy = 0 dx

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Q: Question 6 Find the solution. (x+e')dy– dx =0 A y=ce' + xe" B x=ce' + ye' © y=ce*+ye' D x=ce" + ye"

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

Q: Question 10 If y = xin x, find dy %3D dx2

A: Answer and explanation is given below..

Q: Question (1): Let f(x) = 2x* –- 3x³ + 5x + 1. Find the value of at x = 1. dx

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Q: QUESTION 12 Find d²y/dx². x=1+1²y=t-³

A: Given;  x=1+t2, y=t-t3

Q: Question 2 Let y=e" +b(x+1)’. When x = 0, suppose that -0 and d'y dx a) = 0. dx Find the possible…

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Q: QUESTION 5 ,10 ,10 Given that f(x)dx= 20 and f(x)dx = 12' Find the value of [f(x) + 2]dx' 0.

A: It is known that  Integration is commutative additional over the intervals.

Q: Question 1 4 The value of 3x 25-x dx u=25-x2 IS a. 98 b. 125 С. 34

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Q: Question 4 Find the solution. ,dy 2- y?=2xy dx (A 2x -2 B

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Q: Question 9 Evaluate: 3x* In(x) dx x + -x In x) + c

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Q: Question 25 dy The general solution of the DE dx cos²y is %3D A y= cos(x) + C

A: Given:- dy/dx= cos2(y)  To find:- General solution of given differential equation

Q: 22. (-5) dx dy

A: Given: ∫-4-1 ∫48 (-5) dx dy To find: Value of the integral.

Q: Question 11 dx Evaluate Bx-12 A) 1 B

A: Integration

Q: Question 3 Find dx? d'y for the following functions. a) y = In (5 + sin x) %3D e2x y 1- X b) y = In…

A: Topic:- Derivative

Q: Question 1 V2 + x°dx dy V

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: dx

A: Given integral is We will integrate it by parts. Now, we know that

Q: (y In y – e-") dx + + x In y) dy = 0

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Q: QUESTION 4 Let G() = Jtan (x)dx_ Find 18G(1) + 140G'(1). %3D O A. 0 O B. 357 OC.No Answer is correct…

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Q: 1 e xVx4-1 dy dx

A: To Solve:

Q: 5) [ e sin e dx

A: Topic = Integration   As per guidelines , At  a time only one question can be answered.

Q: Question 7 Given : A B E 0 2π 3 F|+ π 4 (U) =|m x³sin(2x) dx = 3 5π 6 3πt 4 277²-24 64 Find bif sbst

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Q: Question 3 : 2y!ly y" +2)=xy'k

A: As per the question we have the following first order exact differential equation : 2y'(y11 + 2) =…

Q: Question 2 when x 0 and y=3 Compute dx A) 18y B) 18+6y" 6y D) 24

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Question 27 1 Point Evaluate: dx 9-x2 (A) 9-x2 +C B) +C sin C) sin +C (D (9-x2) /9-x2 +C

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Q: QUESTION 2 Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

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Q: Question 5 -S_(x + 1) dx A B (x + 2) (x - 1)² = √ [1+2+ = ²1+ x-1 If B -ia 9 9 W|N 1 9 3 1 9 3 دا |…

A: find out the value of A,B and C

Q: Question 24 Find dy/dx if y = evx (A evx/2x B (c) ©e*//x D evx-2Vx

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Q: ACTIVITY# 1. Solve the following DE. DE Step 1 Step 2 Step 3 1. dx 2xy 2. dx 3. x²dx + y(x – 1)dy =…

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Q: Example 7: Solve ; xy dx+ (y+ 1)e dy =

A: Differential equation

Q: Question 1 S 4 e-3*dx = a) 흥(e-Sr) + C Ob)흑(e-2) + C c) 4x (e-3r) + C O d) –2(e-24) + C O e) None of…

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Q: Question 3. Integrate the following: V1 – xª dx

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Q: QUESTION 14 Find d²y/dx². x = t + sint, y = t - cost

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Q: x°lnx dx 3.

A: Given Integral,I = ∫x3 In x dx

Q: dx

A: To Determine: Calculate the integral.

Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

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

A: We have to find

Q: Question 17 х dx. (use 2 decimal places, no space) 5+x Let * = 2.74, and y = 3.75. Determine the…

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