dx 14. Evaluate S: 9x2+36 a.)능an-1 3x +C b.) 습tan-12x +C c.) tan-+ C d.) tan-i 2x + C 15. Evaluate fe dt a.) e-t + C b.) e7 + C c.) ei + C d.) 2ež + C

Q: are

A: We will find the critical points. 

Q: 1. f(x)=In(tan-x)

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: x²dx 5 + + x2

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Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

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A: equation of the hyperbolic paraboloid  A y2 - B z2 = 2 Cx

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A:

Q: (c) Determine if F is a conservative vector field. Given that the charged particle is moving along t...

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Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

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A:

Q: Find the present value of the given future amount. Assume 360 days in a year.   ​$171,247 for 318 da...

A: Given query is to find the the present value of the future amount given.

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A: A) limx→2 [f(x) + g(x)]=limx→2 f(x) +limx→2 g(x)=1 + 0(f(x) is not defined at x=2 but ,limit is 1 at...

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

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Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E) N...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: Q3/ find the derivative La)= メ 2. logs (x+3) 2x+4

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Q: х — 2 x2 Find the following limits. lim f(x) =L I-2- lim f(x) = 1-2+ lim f(x) =

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Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: 1 eB*[Scos2x - psin2x] + C *sin2xdx a Find: a + B + 8 + p

A: The given integral is e-3xsin(2x).

Q: An+1 -to determine if the sequence an { Use the ratio is 4n + 6 J =1 strictly increasing or strictly...

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Q: S [sin(Inx?) ]°dx Which of the following is equivalent to -? х

A: Follow the procedure given below. 

Q: In(/5+ x?) +c Match the integral expression on the left with its appropriate value. Prompts Submitte...

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Q: x2- Vx +1 When you evaluate dx. The sum of the coefficient of X" for any constant n> 0 is o (use num...

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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: Write the first five terms of the sequence: +oo {Vn² + 7n – n}n=1 - Determine whether the sequence c...

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Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

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

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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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: Jacqueline took out a $30,000 student loan with a fixed interest rate to pay for college. Jacqueline...

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Q: To evaluate the integral expression sin-(vVx )dv, using simple substitution dv = f (x) dx, Determine...

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Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: dV 500(1+1)-2, when V=700 and t=0 is dt The value of C in the equation: A 350 B none of the given ch...

A: ∫at+bn dt = 1aat+bn+1n+1+C

Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

A:

Q: Question 7 The antiderivative of COS(3X) is 1/2 (use small letter no space) Blank 1 Add your answer

A: Given : Cos(3x)We will find the integration which is antiderivative of the Cos(3x).Below find the so...

Q: Assume that functions f and g are differentiable with f(- 3) = 4, f'(- 3) = - 4, g(- 3) = - 4, and g...

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Q: what is the relative minimum value of the function f(x,y) = e^x^2 + y^2

A: Calculate first and second partial derivative with respect to x and y  then take first partial deriv...

Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: 1. Evaluate the integral

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Q: dw 4 Which of the following characterizes the differential equation +v= 0? A 2nd order, 4th degree O...

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Q: B. LIMITS Evaluate the following limits: EI 191 lim g (y) y+-2 y° +5 if y < -2 3 – 3y if y 2 -2 wher...

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Q: Classify the differential equation: h_p +sec x V dæ4 O Fourth order, third degree, linear ordinary d...

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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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=-...