a B b с A

Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: Assume 6100 children go to Disneyland today. How much additional revenue will Disneyland receive if…

A: We need to find additional revenue.

Q: 2. Describe the transformations that map the base function y = 2*, onto the 2(2x+²) + 2 given…

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Q: A 25 foot ladder leans against a building so that the angle between the ground and the ladder is 76…

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Q: Find the domain of the function. (interval notation)

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Q: Convert 1.6 radians to degrees: (Round your answer to the thousandths place.)

A: we convert 1.6 radians into degrees.

Q: The height, h, in metres, above the ground of a car as a Ferris wheel rotates can be лt modeled by…

A: We have to find the radius of Ferris wheel.

Q: Assume Cabot company produced 2,116,184 cans of paint in August. Cabot sold 2,011,454 of these cans.…

A: Solution:- Given that:- Total cans produced = 2,116,184 Sold cans = 2,011,454 Topic:- Basic Algebric…

Q: the graph of f(x) to evaluate the following: f(x) 1 2 3 4 LA 5 6

A: Topic:- function

Q: 02 3 What is lim f(x) for the function f, defined as f(x)= x-1 Does not exist X-1 √x-1 x²+x-2 X-1 if…

A: The given function is  fx=x-1x-1if x<1x2+x-2x-1if x>1 we find the left hand limit at x=1

Q: 2) The position function of a moving object is s(t) = tz(7-t), where 0 ≤ t ≤ 20. The position s(t)…

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Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Suppose someone is traveling from New York City to Miami, Florida. The following table describes the…

A: A.

Q: Part 1 of 3 Suppose that lim p(x)=9, lim r(x)=0, and lim s(x)=-7. Find the limits in parts (a)…

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Q: 2. Please, write an equation to represent the sinusoidal function in the following grap use radians…

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Q: Q1: Solve the following ODE a) y" + 2y' - 6y = 0 b) y'"- 6y" +12y' - 8y = 0 c) y"+y'- 2y = x².

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

Q: Find the area of the sector of a circle with radius 2 yards formed by a central angle of (T)…

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Q: Which of the following functions have an end behaviour of as x→¯‚ƒ(x)→→∞? i) f(x)=-x* ii) f(x)= x -G…

A: See this solution in below.

Q: 8. Which line does not lie on the planer = = (1,5,0) + s(2,-3,1)+1(1,-1,4), s,t € R?…

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

Q: Evaluate log5 √625 O a) 2 O b) 5 O c) 25 O d) 4

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Q: An equation for the graph shown is: y 8 a) f(x) = x(x − 3) b) ƒ(x) = x(x − 3)³ Od f(x) = x²(x-3) c)…

A: From the graph, we can clearly See that the equation have 3 roots, so equation Must have 3 degree.

Q: 13-y ≤ 8( カート f

A: 13-y≤8(y-4)

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

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Q: 6) We are going to fence in a rectangular field. If we look at the field from above the cost of the…

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Q: Evaluate the following integrals. [e² sec ³ (eª) da 1 2 6 tan¹ x dx I 3 4 √9-w² w² dw pln(4/3) et dt…

A: Given data:- ∫x2dxx2-152, x>1

Q: ake the derivative of f(x) = lae-lxxa-1 with respect to x and set the derivative equal to 0.  This…

A: f(x)=lae-lxxa-1 where l and a are positive constants. Lets use product and chain rule. Product rule…

Q: solution. 1. The center of the circle is at (-3,7) and goes through the origin. 2. The center of the…

A: Topic = Circle As per guidelines, At a time only three sub-parts can be answered.

Q: Let f(x)= x+1/x, and g(x)= x+1/x+2, Find ( f o g)(1). (f o g)(1).

A:

Q: The range of the graph of y = cosx is a) 0 ≤ y ≤ 2π b) −1≤ y ≤ 1 c) −2л ≤ y ≤ 2ñ Od) y ER

A: Range is the set of y values corresponding to x-values of domain

Q: 1-A) Express the result of the following complex number expressions in both rectangular Re+j Im )…

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Q: What is the maximum number of real distinct roots that a quartic equation can have? a) infinitely…

A: ## we want to find out that how many real distinct roots that a quartic equation can have.

Q: Calculate r' (t), T(t), and T(3) where r' (t) = ( T(t) = ( T(3) = ( ). r(t) = (2t², 2t).

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Q: The graph shown is of the function ? 3th 2 a) y = cotx b) y = sinx c) y = tanx d) y = secx 2 y 4 2 0…

A: We know as x tends to nπ tanx tends to infinity for every integer n.

Q: Transform the equation y' differential equation. O (1 + x²) dx - dy = 0 O (1 + x²) dx 2x 0₁dx 1 + x²…

A: y'=2xy1+x2

Q: 1 z+1 if x − 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim…

A:

Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: EXERCISES 2.2 Write the equation of the parabola in standard from with vertex at the origin that…

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Q: The cost in dollars of making x items is given by the function C(x) = 10x + 400. (a) The fixed cost…

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Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. 2π 5…

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Q: = The average rate of change of the function y a) 27 b) 26 c) 13 d) 14 x³ from x = 1 to x = 3 is

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Q: f(x)=√x-2 X-4 find lin f(x) Xx4

A: Given:- fx=x-2x-4 To find:- limx→4fx

Q: 2,4 2) 2m²k

A:

Q: If r(t) = cos(2t)i + sin(2t)j – 4tk, compute the tangential and normal components of the…

A: Given:- rt=cos2ti+sin2tj-4tk Find Tangential and normal component of acceleration vector

Q: Rates of Change and Tangent Lines

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Q: EXERCISES 2.4 Write the equation of the parabola in general form that satisfies the given…

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Q: Compute the line integral of the scalar function ƒ(x, y, z) = 2x² + 8z over the curve c(t) = (e¹,…

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Q: Use numerical evidence to estimate the value of the limit to at least 2 decimal places. x² + 2x - 48…

A: Solution:

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

Q: Describe the transformations that when applied to the graph of y = sinx result in the graph shown. 2…

A: we can describe the transformation of the given graph .

Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

A: Angle in Radians = (Angle in Degree) ×π180.