x3+ 4x2-9x-36 3. у 3 4x2+28x+48

Q: O-26429052 2n (41) +1+(+り

A: We will use log function to evaluate the values of n.

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: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Cylindrical shell Method :    If the region between two curves y=f(x) and y=g(x) and f(x)≥g(x) on x∈...

Q: Examples: Find the limits of the following: 1. lim sinx = sin1 2. lim cosx= cos (-1")= 7 x-1* 3. lim...

A: 1) limx-1- Sin-1x 2)limx--1+ Cos-1x 3)limx-infinitytan-1x.

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 .

Q: Classify the differential equation: (台)-() 3. 3. X P -2T 5. dyt O Third order, fifth degree, linear ...

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Q: I Solve the di fferential equations ( 2x-5y+12) dx +(7x-4y+15) dy - o 2.

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

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

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Q: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: Find the Taylor's series for the function x4+x-2 centered at a=1

A: We use the Taylor series of f(x)=summation of fk(a)(x-a)k/factorial k from k=0 to k= infinity. where...

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: Differentiation 

Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

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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: y- 2x = 3y - 2 %3D Oz= 3yIny +1+Cy Oz= 3lny +1+ Cy Oz = 3y Iny +1+C Oz= 3y Iny + Cy

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Q: Immediately following an injection, the concentration of a drug in the bloodstream is 200 milligrams...

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

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use ...

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Q: Radium decomposes at a rate proportional to the amount present at any instant. If initially there w...

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Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: For Understanding of the shell method (Revolution about the x-axis):

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...

A: The given curve,  y=x+2x-23 at x=1

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: Consider the following sequence: +oo 7" {an} n=1 An+! -to show that the given sequence {an } is stri...

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Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

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Q: a'+ Vt 8. f(t)= За + 5

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: WHich of the following represents the shell height if the shell method will be used to find the volu...

A: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

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Q: (x+2x+3)(5-x) 10. g(x)= 3x+2

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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: If f(x)dx=cot x² +C , then f (x) is equal to A -2cscx? B -2xcsc?x? © In/cscx²| D O In/sinx²|

A: We have to choose correct option for value of f(x)

Q: Which of the following integral can be used to find the volume of a solid on the first octant bounde...

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Q: hich of the following integral will give the volume of a solid generated when the area bounded by 4,...

A: Topic:- application of integration

Q: etermine each function's domain and range. If applicable, use a graphing utility to confirm the hand...

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Q: = 10 f these

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Q: 20. Let h be the function defined by h(x) = [", sin²r dt. Which of the following is an equation for ...

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Q: xet dx (x+1)- 4.

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Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: We have to find volume generated when area is rotated about x-axis.

Q: 4. I'e dz 5.

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

Q: Lessoh 12. In each graph, a parent function has undergone a transformation of the form f(kx). Determ...

A: we have to consider the points which both the red and green graphs are passing through. then we have...

Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

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

Q: Evalmate: 3/2 Cas 3x) dx

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Q: Solve using method of undetermined coefficients d³x d²x dx + 6 dt2 + 12 dt dx 0, x = 1, dt d²x 2, dt...

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Q: Lesson 1.7 12. In each graph, a parent function has undergone a transformation of the form f(kx). De...

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =...

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Q: Ce* + 1 is 3x = dy/dx – 3y = -3 for any choice of the constant C. Thus, Ce* + 1 is a one-parameter f...

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