For Exercises 47-50, evaluate the function for the given values of x. (See Example 5) -2|x| – 3 for x < -2 for -2 < x < 3 (- 3x + 7 for x < -1 47. f(x) + 3 for -1 sx < 4 48. g(x) = 5x + 6 5 for x 2 4 4 for x > 3 c. f(-1) b. g(3) a. f(3) d. f(4) b. f(-2) a. g(-3) с. g(-2) e. f(5) d. g(0) е. g(4)

Q: (a) Find the slope of the tangent line to the parametric curve x = t/2, y = t 2 + 1 at t= −1and at t...

A:

Q: please provide step by step solution

A:

Q: Explain ratio test.

A: Solution:Ratio test

Q: Solve the equation x1/2- 6x1/4+ 8 = 0, inequality, or system of equations.

A: Given: x12-6x14+8=0 For finding solution of given equation, we substitute x14=t and simplify it

Q: 3 Q2/If y = (x³ + 5x2 + 1)3 + sin+/ cos³Vtan³x² find y'

A:

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: If y- sinhx then prove that = dx

A:  Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative: →dxdx=1→d(sinh...

Q: In each part, rewrite the expression as a ratio of polynomials. (a) cosh (ln x) (b) sinh (ln x) (c) ...

A: a)  Given expression is cosh ln x. As cosh x=ex+e-x2 So, cosh ln x=elnx+e-lnx2=elnx+elnx-12=x+1x2   ...

Q: 11. The rate at which a body heats up by conduction is proportional to the difference between its te...

A: T=Temperature at time t  Te= surrounding Temperature  

Q: calculating a linear least- squares fit: (y-ae/x) to find the constant (a, b) for the data in the fo...

A: We have to find the value a and b

Q: If the discriminant of ax² + bx + c = 0 is negative, the quadratic equation has real solutions.

A: We know that if the discriminant of ax2+bx+c=0 is negative, the quadratic equation has no real solut...

Q: What is the benefit of writing an equation of a line in slope-intercept form?

A: The benefit of writing an equation of a line in slope-intercept form:  

Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1 

Q: Which sales tax and tip would be equivalent to the given increase? The tip is calculated on the valu...

A:

Q: After a 20% reduction, you purchase a television for $336. What was the television’s price before th...

A: Discount is applied on MRP.

Q: Solve the area of the bounded region

A:

Q: Skill Practice 1 Graph the line represented by each equation. a. 4x + 2y = 2 b. у %3D 1 с. — Зх : 12

A: a) 4x+2y=2 b) y=1 c) -3x=12 we have to sketch the given lines

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,...

Q: True or False Two triangles are congruent if two angles andthe included side of one equals two angle...

A: ASA congruence postulate: According to ASA congruence postulate two triangles are congruent if: 1. T...

Q: Which of the functions graphed in Exercises 1-6 are one-to-one, and which are not? 2. 1. y =-3x y =x...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: Find the arc length of the curve y = ln x from x = 1to x = 2.

A: Given: y=lnx, x∈1,2 We know that for any given functiony=fx arc lengthL on interval x∈a,b is given b...

Q: Q4) find 2 for : dx y = sin(x") + 2* +n

A: Use simple formula of derivative 

Q: 2-V +3 2. For the function R(t)%3D answer each of the folowing questions. 1+1 (a) Evaluate the funct...

A: From the given problem:   Rt=2-t2+3t+1   (a)    i) t=-0.5   Rt=2-t2+3t+1=2--0.52+3-0.5+1=2-3.25-0.5+...

Q: 3a

A:

Q: b) Show that |A+ B[ < |Ã[ + |B].( Tringle inequality).

A: Solution:-

Q: Q.1) Find the Laplace transform of the following a) f (t)=3sin² 2r -6 b) f (1)=3 +º_ t c) f (t)=2cos...

A:

Q: (18 (D³ + 1)y = 0 %3D

A: Due to guidelines we can solve one question at a time.

Q: a/ Find the domain and Yang of each the fo Mo wing ya-3 Sinx 2+3x2 多 y2.14-x -3 X+1 Xー

A: Explanation of the solution is given below...

Q: Find the effective rate to the nearest hundredth for nominal interest rate. 7% compounded quarterly

A:

Q: Find derivatives of the first derivative involving differences, products, and quotients. sin x 1- y ...

A: Using quotient rule we find Derivative  Since you have posted a question with multiple sub-parts, we...

Q: State the theorem of Arc Length.

A: State the theorem of Arc Length.   The arc length is x360°2πR. here R is the radius of the arc and x...

Q: Find all values for which h(x) = (x + 2)(x − 3) (x + 2)(x − 1) fails to be continuous. Explain your ...

A:

Q: What is the area of the bottom (or top) of the cylinder?

A: Figure

Q: (y?-3y +2)dx =xdy

A: First, rewrite the given differential equation as the following. y2-3y+2dx=xdydydx=y2-3y+2x The diff...

Q: Help

A: (6×106)/(2×103)

Q: D What is the hypotheses ofthe following Theorems: MVT IVT

A: We have to write  the hypothesis

Q: find the general solution of the first-order linear differential equation y + (tan x)y = cos x

A: Given: The first-order linear differential equation y'+ (tan x)y = cos x   To determine:  The soluti...

Q: You are dealt one card from a 52-card deck.Find the probability that you are not dealt a picture car...

A:

Q: 5 Lim 34 +7 y?_2

A:

Q: A pool measuring 10 meters by 20 meters is surrounded by a path of uniform width. If the area of the...

A: Let width of the path be "y" metersNow combined width and length would be 10+2y and 20+2y.Now we hav...

Q: please provide step by step solution

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Lim 34 +7 y2_2

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

Q: question 4-5 only

A: Given the function g(x)={x , if x&lt;03,if x=03-x2 ,if 1≤x⩽4x-3,ifx&gt;4We need to find 1) limx→0g(x...

Q: The graph off consists of line segments and a semicircle, as shown in the figure. Evaluate each defi...

A: As per the company guidelines we can solve first three  parts . I hope that the given solution will ...

Q: Are there numbers a and b such that |a + b| &gt; |a|+|b|?

A: We know that for any two real numbers x and y x+y&gt;x+y                                            ...

Q: Use the concept of definite and indefinite integral to find the solution. Please make the solution c...

A: Given, dCAdt=-kCAn now solve this integral dCA=-kCAndtCA-ndCA=-kdtCA-n+1-n+1=-kt+c at t=0  CBo-n+1-n...

Q: Given p(x) = 2rs2 value of p(1). 4x", is it easier to evaluate p(1) by using synthetic division or b...

A:

Q: Show that x³, if x 0 is not continuous at x = 0. %3D

A: According to the problem, we have

Q: Find the average rate of change on the given interval. Then find the instantaneous rate of change at...

A: Consider the provided equation, y=x+4x-1  from  x=2 to x=5 Find the average rate of change on the gi...

Q: (a) What is a proper rational function? (b) What condition must the degree of the numerator and the ...

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