1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following statements are true? I) lim f(x) exists II) lim f(x) exists III) lim f (x) exists x-2- x--2+ x-2

Q: Vx + sinyx Evaluate:

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Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: Find and classify the critical points of the function f(x,y)=y^3 +3xy−x^3

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Q: A function F (x) is called an antiderivative of a function f (x), if (A F (x) =f (x) B F (x) =f (x) ...

A: A function F( x) is called an antiderivative of a function of f( x) .  If F'(x)=f(x)

Q: The antiderivative of Cos(3x) is

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Q: SVx+sin/x Evaluate: dx.

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) d (15 sin (x...

A: Explained below 

Q: e5 (e4– 5*) dx= 5*+1 +C n + 1 5 A) True B) False

A: Since (e^4-5^π) is constant term , therefore it will come out from sign of integration not integrate...

Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

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Q: The antiderivative of Cos(3x) jis

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Q: secytany In 4secy +9 -dy, the integrand is 4secy +9 A True B) False

A: Here ,          we have given an integration and it's              integrand also given. Now we have...

Q: The coefficient of sec(x) S(tan(x) – sec(x))²dx ; evaluated is Blank 1 (use number, no space) when w...

A: Solved below

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: (2x³-1)5 y = (5-3x)*

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Q: To evaluate the integral expression / sin -1(Vx ) dv, using simple substitution dv =f (x)dx_ Determi...

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Q: 2w2+9w + 1 -dw is the same as w +4 5 A 2w +1+ dw w +4 B | 2w – 1- 3 dw w +4 2w + 1- 3 dw w +4 67 dw ...

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Q: sin³ydy 1+ cosy A 1+ cosy B 1- cosy (c) siny D sin³y (E) None

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Q: 2-x+1 -dx .

A: Please refer attached file for solution below

Q: Question 9 xdx Evaluate: 5+x? 21n(x²+5) +C In(Vr²+5) +C O In(x²+5) +C E None of the given choices

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Q: dy x + ( 1+x)y = e -x sin2x dx

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Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: Prompts Submitted Answers / xdx 5+ x In(/5+ x²) + c dx 5tan 5+ x2 + C xdx 5ln(5 + x?) +C 2 5+ x2 x?d...

A:

Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

Q: Question 4 e an -15i gech (e an-151) dt 'sech Evaluate: 1+25t2 A -tan-'e tan -151 +C 2 -tan -'e tan ...

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Q: -dx (use 2 decimal places, no space) 5+x Let * = 3.89, and y = 3.07. Determine the value of C when y...

A: We will first evaluate the indefinite integral. Then we will put the value of y = 3.07 when x = 3.89...

Q: A function F (x) is called an antiderivative of a function f (x), if F(x)=f (x) B F(x)=f (x) F(x) =f...

A: topic - derivative and integration

Q: Evaluate the integral

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Q: If o functions F & G are both antiderivatives of the function f. the F (x) =G (x). two A) True False

A: topic - functions

Q: 5e2*dx 9ex – 6e2* + 1 (A 3e 2x B 3e2x – 2 (©) 3e2x – 1 D 9e 4* – 6e2* + 1 E None

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Q: dV - 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation:

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Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g...

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)    ...

Q: Match the function on the left with its antiderivative on the right side Submitted Answers Prompts C...

A: Anti derivative: If ddxf(x)= g(x) Then: g(x) is the derivative of f(x) f(x) is the antiderivative of...

Q: Evaluate: | tan(4x + 3)dx i -In |cos (4x+3)|+C A COS 4 В 4 - In |sin (4x + 3)|+C In |csc (4x+3)|+C D...

A: Given: ∫tan(4x+3)dx =∫sin(4x+3)cos(4x+3)dx Substitute : cos(4x+3)=td(cos(4x+3))=-4sin(4x+3)dx=dtdx=-...

Q: company's profits if marginal profit is​ $0

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Q: x2-V+1 When you evaluate dx. The sum of the coefficient of X" for any constantn>0 is Blank 1 (use nu...

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Q: evF dr + A в 2 2 E) None

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Q: A graphing calculator is recommended. The curve y = 1 is called a witch of Maria Agnesi. 1 + x2 (a) ...

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Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: IV. sec (3x) tan(3x) 12. Value of "F(b)" D. 1 A.0 Value of "F(a)" A.0 B.-2/3 C-2/3 13. B.-2/3 C-2/3 ...

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Q: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 7​% of the dru...

A: Given query is to find the rate of change after 6 hours.

Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

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Q: 4 x² + 4

A: Follow the procedure given below.

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢ /2(x?+e...

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Q: SOLVE THE DIFFERENTIAL EQUATIONS. ( 3x2y + ey )dx + ( x3 + xey – 2y)dy=0

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Q: Question 1 The coefficient of Sec(x) when J (tan(x) – sec(x))*dx was evaluated is Blank 1 (use numbe...

A: Explained below 

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

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Q: 3x4-5xe*+2xcos (x) Evaluate: 3x4 - 5ex – 2sin(x) + C 4 (A B x3 - 5ex + 2sin(x) + C O x3 – 5ex – 2sin...

A:

Q: +1)*eV¯dr A) B (c)

A: We will find the integral.