The profit (in thousands of dollars) from the sale of x thousand packages of note paper is given by the following function. P(x) = In (99 + 7x) Use a Taylor polynomial of degree 2 at x 0 to approximate P(0.7) if In 99 is given as 4.5951. P(0.7) (Round the final answer to four decimal places as needed. Round all intermediate values to four decimal places as needed.)

Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

A:

Q: x + 2x – dx

A:

Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: Determine whetherthe limit exìsts or not when a) xーヤ 3 and 6) x→-3 F(x) = 1 Vx?4 Wien x<-ろ Vg-x² whe...

A:

Q: 2sin(e²^) cos(e²") dx, we let u=e2 To evaluate A) True B) False

A:

Q: sec2. dx = a ln b 1+ cot x cot x sec? x %3D What is -? a klos

A: Let I=∫π6π3cotx.sec2x1+cotxdxI=∫π6π3cosxsinx.1cos2x1+cosxsinxdxI=∫π6π31sinx.1cosxsinx+cosxsinxdxI=∫π...

Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: Match each series with the test that most efficiently determines whether the series converges or div...

A:

Q: Radoc-Lactuan, I. et. al Analytic Geometry C. Show that the following sets of points belong to the s...

A: topic - coordinate geometry

Q: Use L'Hospital's rule to determine the following limits: 3sin5x i. limx¬o 6x i. lim- log2 x log3 x '...

A:

Q: S e3(2e * – 1 ) dx (ear – 2) (e3* + 1) 4 (A) 2e3x – 1 B) 2e 6r – e 3x © (e3r – 2)+ D (e*+1)+ (E ,6x ...

A:

Q: Pictured are a contour map of fand a curve with equation g(x,y) = 8. Estimate the maximum and minimu...

A: Given And gx, y=8

Q: In (sin2x) sin2xdx Evaluate; sin³x -+C 3 A sin?x +C 2 B В sin4x - +C 4 sin4x D -+C E None

A:

Q: The area between y = x and r-axis on the interval -1, 1 with right endpoint rectangles is O underest...

A: We need to choose correct option.

Q: -siny(x + siny)dx + 2x²cosydy = 0

A:

Q: 2. Consider the power series 1 (-1)*+1 (x-5)" 4nn What is the center ? What is the interval of conve...

A:

Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

A:

Q: Below is the function f(x). -6 -5 -4 -3 -2 -6- Over which interval of æ values is f' > 0? O (1, 0) O...

A: The graph of the function is 

Q: -2 The function graphed above is decreasing on the interval The inflection point is at x = on 2-

A: Solution: Clearly by graph we can observe that  

Q: Consider the function shown below. What type of function is shown in this graph? O A. density functi...

A: This is a question of probability chapter. Based on the graph of PDF and CDF we will answer the ques...

Q: QA Find 1 dx x2Vx? - a? Hint: Use x = a cosh(u).

A: Integral

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: (b) Then do the following: • If your answer is porsible, provide a specific example (a specific an) ...

A: D. Possible.     ex. an= 1n2  ⊙   limn→∞ 1n2 = 0 . Hence, an  converges.  ⊙  ∑n=1∞1n2 is converges b...

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

Q: Graph the following function: y Step 2 of 2: Determine how the general shape of the graph, chosen in...

A: This is a problem related to curve sketching and it's transformation. Based on the phase shifting co...

Q: Q#3.2 Which of the following functions given below is a solution to the differential equation in the...

A:

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0? NOT...

A: Follow next step

Q: (a) Find a function that models the populationt years after 2000 (% for 2000). Your answer is P(t) =...

A:

Q: The right endpoints approximating R, is n always an over-estimate for the area under the graph of f(...

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: Solve the problem. Find an upper bound for |E in estimating S (5 - 20) dx with n = 6 steps. M(b-a)* ...

A: Error bound Simpson's Rule :Suppose that f4x≤M for a≤x≤b . If ES is the error involved in using Simp...

Q: An inverted conical water tank with a height of 14 ft and a radius of 7 ft is drained through a hole...

A:

Q: Select ALL possible answers. * Which of the following is/are true about the function whose graph is ...

A:

Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. Зд 2 = sin...

A: topic - sequence and series

Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

A: area and right end sum

Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

Q: csc5x cot5x dx A csc 5x -csc5x B 3 -csc5x 3 D csc5x E None

A:

Q: Q5: Find the domain and range for:- (Answer two only) (2) F(x) = 1 + x?

A: This is a function problem

Q: dx 1+ cos x + sin x

A:

Q: (secx-2)dx cosx cotx cosx cotx B secx - 2 (secx - 2) 5 D) None A.

A:

Q: -4 -4 At the point shown on the function above, which of the following is true? Of' 0 O f' > 0, f''...

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

Q: Exercise 7. GREEN'S THEOREM Use Green's theorem to calculate fo F R. All curves are oriented counter...

A:

Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: A vertical plate is submerged (or partially submerged) in water and has the indicated shape. Explain...

A:

Q: Evaluate; In (sin²s ) sin2xdx sinx +C 3 A sin?x B) +C sin

A:

Q: In each case, determine whether or not the lines have a single point of intersection. If they do, gi...

A: (b) r1 = &lt;4t, -3t+1, t-4&gt; and r2 = &lt;2t-3, -t, -t-1&gt; So, if they have a point of intersec...

Q: B01OW is a graph of VCF) , me VOlOGIry Of an Obicot ovor timċ. OCScrioc me acceicrarion oe th& obj G...

A:

Q: 2 -a - 12a? + 70x – 60. Find all local extreme values of f(x) at The FIRST local extreme value, movi...

A: Given :- f(x) =(2x3/3) -12x2+70x-60 find:- All local extreme values of f(x)