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 when-3

Q: kdt, where k is constant A True B False

A:

Q: Find the difference quotient and simplify your answer. f(x) – f(64). X – 64 f(x) = x2/3 + 1, X # 64 ...

A: Given that f(x)=x23+1 . We have to simplify the difference quotient. Given that,                 f(x...

Q: Select ALL possible answers. Which of the following is/are true of f (x) = x²(x + 3)²? A. The functi...

A: answer C the function is continuous everywhere because here  not any value of x in denominator  so i...

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

A:

Q: Find a domain on which f(x) = (x −3)2 is one-to-one and non-decreasing, then find the inverse of f r...

A:

Q: :G(x) = tan t dt. G (1)=0 G' (0) =0 G' (중) 3D

A: This question is based on definite integral.

Q: \ x² Vx2 + 16 Evaluate the integral: 29 dx (A) Which trig substitution is correct for this integral?...

A: The objective of the question is evaluate the indefinite integral .

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who...

A: I am attaching image so that you understand each and every step.  

Q: 1. Determine whether the series converges using any appropriate test. Identify the test for converge...

A:

Q: Use the total differential to approximate the quantity. Then use a calculator to approximate the qua...

A:

Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate propo...

A: The drug is administered at a constant rate of rand is excreted (throwing off) at rate proportional ...

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

A:

Q: Let a be a real number. Consider the series Σ where an = cos(n7) An, 2n +1° n=0 Find all a > 0 such ...

A: Given a series,

Q: valuate the function for the indicated va F(x) = 6 |x|| + 3 (a) f(0) (b) f(-2.8) (c) f(4) (d) f)

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: 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)   

Q: Find the arc length of the curve r(t) = (2t3/2, cos 2t, sin 2t) from t = 0 to t = 1. %3D

A:

Q: sin 4x What is lim X-0

A:

Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A:

Q: 1. Use f(x) = x - x² +: +x and g(x) = 2f (x+1)+3 to do the following: a) Obtain a graph of fx) using...

A: As per the bartebly guidelines one question having 3 subparts are only to be solved. Please resubmit...

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

A:

Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

A:

Q: Evaluate: / 3'/ | 3° +4dy A 3' +4) : In27 +C A 2 (3+4) +C B.

A: Integration

Q: QI/Correct the following items, enhance your answer with a mathematical proof for each item. 1- cosh...

A:

Q: 22, what is

A:

Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a +...

A: i) f(x)=ex , a=ln 4ii) fx=ln x, a=3

Q: Let the demand function for a product be given by the function D(q) = – 1.55g + 300, where q is the ...

A: The demand function is: D(q)=-1.55q+300 where q is the quantity of items in demand and D(q) is the p...

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: Given :                                        ∑n=0∞(-1)n+1(n+8)xn       an    = (-1)n+2(n+9)xn+1   ...

Q: Can you please answer both

A: see below the answer and calculation

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? Vx- [2, +0...

A: f(x) =1/x-2 for make f(x) contineous x-2 &gt;0 and  x-2 is not equal to 0 so x&gt;2 so our answer is...

Q: It is given that (e7z 12) = 7e*12. Then, by the Fundamental Theorem of Calculus, we have 7x+2 dr 7e+...

A: Let's find. 

Q: Express the set of numbers, x, satisfying |5x – 1| – 2 < 12 as an interval. Write your answer using ...

A:

Q: Determine if the following sequences converge or diverge. You must justify your answers. If they con...

A:

Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: Which of the following is equivalent to 5a + 4xª + 3² + 2 dæ ? Select one: | (5æ² + 4x + 3æ1+ 2x¯³) ...

A: We want to select the correct answer from the given options

Q: 7–√7

A:

Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1) ...

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: Is the function f (x) below continuous on [3,+0)? (0, x > 0 X, 0 3 Choose

A: This question is related to limit and continuity, we will solve it using given information. 

Q: FOr the Pollowing graen of F (X) Fill in mG fablo OGLOW: 8. (1,0) f(X) f'(X) F"CX) Concaviny

A:

Q: (1) limr-(n/2)-(tan x)cos x (2) lim,-o x-3(tan-x-x) (b) If у %3D 4u?-Зи + 2 %; и 3 е* + 2e2х, find d...

A: For other questions reupload according to bartleby guidelines

Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always three...

A: Given: Data is given.     r = 3r     dh/dt = 3 , when h = 10  

Q: Average speed (mph) Number of laps 0<s < 140 140 < s < 145 20 145 < s < 150 32 150 < s < 155 57 155 ...

A: From given table

Q: 1. dr (3r + 1)2 1.

A: The given question can be solved as shown in step2.

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

A:

Q: e Does the series E converge or diverge? 8n n=1 1+ e

A:

Q: The integral 3re dr can be evaluated by the substitution u = a?. Select one: O True O False

A: We put x2=u and differentiate both sides with respect to u and solve it. Follow 2nd step.

Q: For what values of r does the given infinite series converge? Find the sum of the series when it con...

A:

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. (Hint: if you calculate using decimals...

A: The integral is  ∫13 9x2dx

Q: D+ E(x – 2) + F(x – 2)² + G(æ – 2)³ -

A: