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Q: Show that the function  f(x)=x3-3x2+3x-100 is increasing on R

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Q: Use the graph of the rational function in the figure shown to complete the statement.

A: Given: we have vertical asymptote x=-3 , x=1 and horizontal asymptote y=0 We have to use rational fu...

Q: It makes sense that the larger the area of a region, the largerthe number of species that inhabit th...

A: S=0.7A0.3, where S is the number of species and A is the surface area. a). Put A=60 m2 in S=0.7A0.3,...

Q: Which complex numbers z satisfy z = z? Explain.

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Q: 5x° + 8x2 + 48x + 96 x4 + 16x? Then the integrand has partial fractions decomposition Consider the i...

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Q: How do I evaluate the limit?

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Q: HI need a step by step break down please

A: When one function is substituted into other you get a new function called composite function. Here t...

Q: Determine whether the graph of equation y4 = x3 + 6 is symmetric with respect to the y-axis, the x-a...

A: Given Data The equation is y4=x3+6.   The graph of the eqaution y4=x3+6 is,

Q: show that the given vector functions are linearly dependent on (−∞,∞).

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Q: Evaluate the following derivatives.

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Q: Evaluate the intergral.

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Q: 4. If f(0) = g(0) = 0 and f" and g" are continuous, show that %3D f(x)g"(x) dx = f (a)g'(a) – f'(a)g...

A: Given that f(0)=g(0)=0 and f" and g" are continuous. To show that      ∫0af(x) g"(x) dx=f(a)g'(a)-f'...

Q: Find the tangential and normal components of acceleration at the given time t = 1 for the space curv...

A: Given rt→=ti^+2tj^-3tk^t=1

Q: Derivatives using tables Let h(x) = ƒ(g(x)) and k(x) = g(g(x)).Use the table to compute the followin...

A: Since, h(x)=f{g(x)}⇒h'(x)=f'{g(x)}g'(x)  

Q: What are the Direct Comparison Test and the Limit Comparison Test? What is the reasoning behind thes...

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Q: 8r + 5tant Find lim t>0 sint

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Q: Let f(x) = (2x2 – 5)?. Compute f'(x) three different ways: 1) Mul- tiplying out and then differentia...

A: f(x)=(2x2-5)2 We need to find  f'(x) by three different ways: Multiplying out and then differentiat...

Q: Find the curvature of the plane curve at the given value of the parameter.          r(t) = ti + 1 /9...

A: Given data: *The plane curve is  r(t)=ti+19t3j *The value of the Parameter is t=2. The derivative of...

Q: I need a solution

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Q: Need to set up to find derivative which rule best to use c42

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Q: In Exercises 1-4, fill in a table of the following type: f(g(x)) f'(u) f'(g(x)) g'(x) (f og)(x)

A: Given Functions: fu=u32                                                          1 gx=x4+1          ...

Q: 1,0 1,0 A. f(x) is continuous at x = 1. B. f(x) is not continuous at x = 1 because f(1) is undefined...

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Evaluate the function at the given value(s) of the independent variable. Then find the domain and ra...

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Q: In 2010, MonsterCollege surveyed 1250 U.S.college students expecting to graduate in the next several...

A: According to the graph there are two points where salary was anticipated by more than 20% of student...

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where possibl...

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Q: The loudness level of a sound, D, in decibels, is given by the formula D = 10 log(1012I), where I is...

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Q: If a polynomial f(x) has a remainder of -4 when divided by x-3, what is f(3)? f(3) : %3D

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Q: Calculus Question

A: sk=∑n=1kn(.1)n We have to find s9

Q: State the name of the property illustrated. 1/(x + 3)(x + 3) = 1, x ≠ -3

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Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

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Q: Write each number in decimal notation without the use of exponents. -3.14 x 10-3

A: Decimal notation is basically expressing the number in the decimal form. Here, we have     Now, we ...

Q: After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deci...

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Q: Evaluate 3 х —125 lim X- 5 x→5

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Q: pleas include the steps to. thank you

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

Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: Given: Where y is the sales volume and p is the price per unit.

Q: 450 divided by 9 equals 129 divided by 4 equals

A: Given  1. 450 ÷9 = 50

Q: pleas include the steps to. thank you

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Q: Instructions: Evaluate the integral. ī sin æcos? adæ

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Q: Factor each expression. (a)4x2 -25

A: 4x2-25

Q: Lagrange multipliers Each function ƒ has an absolute maximum value and absolute minimum value subjec...

A: Consider the given function: Here the objective is to find the absolute maximum value and absolute ...

Q: Find the general solution of the differential equation. dy/dx= x-6/y^3

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Q: Simplify the exponential expression. 1/3

A: Given,          8x2y61/3  

Q: In the original plan for area codes in 1945, the first digit could be any number from 2 through 9, t...

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Q: Question-based on, "A wire that is 14cm long".   I have tried it many times but unable to find an an...

A: Given: A wire 14 cm long is cut into 2 pieces ,one of length x and the other of the length 14-x. Eac...

Q: Find an equation of the tangent line to the graph of the function y=2 arcsinx, at the given point, (...

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Q: Parametric equations and a value for the parameter t are given x = t2 + 1, y = 5 - t3; t = 2. Find t...

A: For t=2, x=t2+1=22+1=4+1=5For t=2, y=5-t3=5-23=5-8=-3