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Q: A manufacturer of handcrafted wine racks has deter- mined that the cost to produce x units per month...

A: Given: C=0.2x2+10,000

Q: I want the answer

A:

Q: Find the value of the constant m that makes the following function continuous on (-o, o0). J mx – 17...

A: Find the value of the constant m that makes the following function continuous on (-∞,∞). where funct...

Q: Find the derivative of: – 6 sin? (3x®). Hint: sin (x) = [sin(x)]²...so use the chain rule (twice!).

A:

Q: solve each inequality algebraically.

A: A inequality is an equation that uses an inequality sign instead of an equal sign and thus gives a l...

Q: Could  you please help only with the 'd' question

A: The graph of the function f is

Q: calculate r'(t) and T(t), and evaluate T(1). r(t) =〈3 + 4t, 3 − 5t, 9t 〉

A:

Q: Determine each of the following limits either as a real number, as infinity or conclude that it doe...

A:

Q: Find the volume of the solid generated when the region between y = sinx and y = 0 for 0 ≤ x ≤ π is r...

A: y=sinx  &  y=0  for  0≤x≤π

Q: 3. What is a rational function? What does it mean for arational function to be proper? Improper?

A: To defineProper as well as improper Rational function 

Q: f x.y) = -4x- tay-3y +40C +35y +2 Look for local maima, locul minina and Saddle points of the duacho...

A: In the question it is asked to calculate for local maxima, local minima or saddle point of function.

Q: Explorers on a small airlessplanet used a spring gun to launch a ball bearing vertically upwardfrom ...

A:   Given :          The launching velocity of ball bearing on planet's surface is 15m/sec.           ...

Q: Show that (0,0) is a critical point of f(x,y) =x + kxy + y no matter what value the constantk has. D...

A: Given the function  f(x,y)=x^2+kxy+y^2 Find the partial derivative with respect to x and y  fx is th...

Q: determine if the piecewise-defined function is differentiable at the origin.

A: Consider the given function fx=2x-1,                x≥0x2+2x+7,         x<0 The left hand and rig...

Q: Use Half-angle Formulas to find the exact value of each expression;

A: To find: The exact value of the expression sin-π8. Formula used: The Half angle formula: sin α2=1-co...

Q: The differential equation defined by: dY +an-1x^-1 d"-ly. +a,x²- d²y dy +a,y=G(x) a,x". +... +a¿x- d...

A:

Q: -1 What is the slope of the line tangent to the graph of y at x = -2?

A: Given: y=tan-1(x) at x=-2

Q: Find the x-intercepts of the function then use Rolle's Theorem to prove that f'(x)=0 at some point b...

A: Rolle's theorem states that if a function f is on closed interval [a,b] and differentiable on open i...

Q: Find The integral of The funchion 3172X+1 年2x4! dx 2X+3X41

A: =?  

Q: Use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros...

A:

Q: Find the limit.

A: Use the formula cosθ+ϕ=cosθ cosϕ-sinθsinϕ to simplify the term cosπ+∆x. Here θ=π and ϕ=∆x. cosπ+∆x=c...

Q: Niagara Falls Incline Railway Situated between PortageRoad and the Niagara Parkway directly across f...

A: Let x be the height of the embankment. The length of the track is 51.8 meters and angle of inclinati...

Q: Please answer the question below with all the steps and explanations

A: We solve above questions by components law

Q: I want the answer

A: Mean = Σ mf / N , where m  = Midpoint Of Class f = frequency ( Number of student ) N = Total number...

Q: Each polynomial function has exactly one positive zero.Approximate the zero correct to two decimal p...

A: Given polynomial function          f(x)=3x4+4x3-8x-2

Q: 04: a) Is the function ((x) = x+ odd, even or neither b) Determine whether the following pairs of li...

A: a. fx=x+1xb. x=3   y=-4

Q: -3- 6. USE THE ALTERNATIVE FORM OF THE DERIVATIVE TO FIND THE DERIVATIVE (IF IT EXISTS) OF f(x) = x²...

A:

Q: Use a linear approximation to estimate the value of the 5th root of 30

A: To find: The fifth root of 30 by using linear approximation: Concept used: Linear approximation of f...

Q: Use the graph of f to determine each of the following. Where applicable, use interval notation. y = ...

A: We know, Domain of a function f(x) is the set of x-values which we provide as an input to the functi...

Q: Solution

A: The linear congruence ax ≡b (mod m) is solvable if and only if d|b where d =(a,m)

Q: If the demand function is p(x)= 600x-.02x^2 for 15,000<x<30,000, find the number of units that...

A: The demand equation is  px=600x−0.2x2 To find: The number of units that maximize the revenue The ma...

Q: g(x)=\frac{\ln x}{x},[1,4]

A: Explanation: Given that,  g(x)=lnxx,[1,4]     Concept Used: f(x), a,bAverage Rate of Change=f(b)-f(a...

Q: 1. Consider the function f(x) = e^(-x^2) a) Calculate f'(x) and f"(x). b) Find the closed intervals ...

A: Derivative of function

Q: dr + r tan 0 = cos? 0, do = 1. 4.

A: Given DE is drdθ+r tanθ=cos2θ   and rπ4=1 solve the given DE

Q: First part answer 19.56 is wrong. Second part answer 5.236 is correct.

A:

Q: Use the triangle to find each of the six trigonometric functions of 0. B 5 A 8

A: Pythagoras theorem: Hypotenuse2=Perpendicular2+Base2 Trigonometric ratios for a right angle triangle...

Q: find the derivativeof the transcendental function. \text { 53. } y=-\csc x-\sin x

A: The function that cannot be expressed by algebraic operations is called a transcendental function. T...

Q: Simplify expression using the properties of logarithms. 4 log3 y - 2 log3 x

A:

Q: In Problem,graph each function.Be sure to label key points and show at least two cycles.Use the grap...

A: y=3sinx The graph is,

Q: Solve the definite integral.

A: We have to solve the definite integral                                                ∫0∞e-stcoshtdt

Q: The perimeter of a rectangle is 80 feet. If the length of the rectangle is represented by x, its wid...

A: Given Perimeter of rectangle is 80 feet Length of rectangle is x   We know that Perimeter of rectang...

Q: Suppose that f has domain [4, 8] and range [2, 6]. Find the domain and range of: y = 3f (x)

A: To find: The domain and range of y=3f (x). Given information: The domain of the function f(x) is...

Q: Find the general solution of the differential equation below and check the result by diffrenetation....

A: dQ/dx = -24x^7

Q: With the series n=0 22n+1(x+3)" +1 53n+2 -, the Ratio Test is the only method for find the radius an...

A: this is true because on finding radius of convergence we will use only ratio test

Q: @ Consider the Funetion y= sinx t cosx on [0,3T1/2], use EVT to ind ab soluute mox min. %3D

A:

Q: In Problems 27–32, use the graph shown to find(a) The domain and range of each function (b) The inte...

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

Q: Find the derivatives of the functions in Exercise

A: y=x+1x+2x-1x-2

Q: Skill Practice 11 If the magnitude of F, is 32 lb, the magnitude of F2 is 24 lb, and the magnitude o...

A: A vector is a quantity that has magnitude and direction. A vector can be also defined in terms of it...

Q: Find the points on the graph of the function f(x) = x^2 that are closest to (0, 2) in the xy-plane. ...

A: Shortest distance

Q: I want the answer

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.