4x- 5c + 20r 9 and classify them. Round Find the critical numbers of the function f(z) your answers to three decimal places.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: Find the Maclaurin Series for the function f(x) = sinx/x

A: The given function,   f(x)=sin xx

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

A:

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: Express the repeating decimal as a fraction. 0.2513 23 23 23..

A: We can express the given repeating decimal as fraction as below.

Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

A:

Q: (1 + +)' y =

A: As per the instruction, we will be answering only first question.  y'=1+1x3'    =31+1x21+1x'    =31+...

Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X

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Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d. ...

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Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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Q: аn+1 to determine if the sequence {ne"}, is strictly increasing or strictly decreasing. An Use the r...

A:

Q: 1. d'y_dy - 42 + y =r²-2t +3 dr dt 2. y"-7y'=(2x-1)sin 2x 3. y'-5y=xe" – xe*

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Q: Assessment 1: The function is discontinuous at the number. Does the discontinuity appear to be remov...

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub- par...

Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly d...

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: 5) Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal populati...

A:

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:   sum of infinity terms of geometric series=first term1-common ratio

Q: y"-7y'=(2x-1)sin 2x

A: Differential equation 

Q: Determine whether the series converges, and if so find exactly its sum.Otherwise type none in the bl...

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Q: x3+ 4x2-9x-36 3. у 3 4x2+28x+48

A:

Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A:      

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. No figure, no credit. 1. A gutter 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: Given problem:- Which of the following represents the shell height if the shell method will be used ...

Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the...

A: Given,f(x) = 3 x2 + 5x a)f'(x) = df(x)dx = 6x +5f'(a=-2) = 6 . (-2) + 5                = -12 +5     ...

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: Let f(x) = /1– x and g(x) = . Determine the following composition and its domain. g° g

A:

Q: 9. An employee borrows Php60,000 for seven months at an interest rate of 12% per year. Find the inte...

A: Principal=P=Php60,000 Rate=r=12% per year Time=t=7 months=712 years Interest=Int=P×r×t100=60000×12×7...

Q: let f(x)= -4+3e^x what is the range of f(x) using interval notation? what is the domain of f(x) us...

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Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three...

A:

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

A: This question is related to definite integration, we will solve it using given information .

Q: 2. y = (x² – 3)²

A:

Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x3 – 3x? + 4x – 12

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other que...

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: Suppose f is known to be differentiable and contains a local extremum at c, then which of the follow...

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Q: Find the Maclaurin Series for the function f(x) = sinx

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Q: Use the difference an+1 - an to show that the given sequence {a, } is strictly increasing or strictl...

A:

Q: Find and classify the critical points of the function f(x,y)=3y^2 −12x^2 +12xy^2 +16x^3

A: Given function: fx,y=3y2-12x2+12xy2+16x3 Formulas used: ddxxn=nxn-1ddxconstant=0 To classify the cri...

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

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

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

A:

Q: following

A: We will use rhe graph of the derivative to find the intervals. 

Q: Evaluate the following integral | sec(VT) tan(v) dæ

A:

Q: Given the function: z = e*+y sin (x + y) dz a. Compute the ду b. Compute the dz show complete soluti...

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Q: :. f(x) = vx – 1 at x = 5

A: Topic = Functions The given function is continuous and differentiable at x= 5.