Solve triangle ABC. (Round your answers to one decimal place.) LA = LB = LC=

Q: Evaluate the piecewise function at the given values of the independent variable. (a) f(-2) (b) f(0)…

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Q: The binomial expansion for (a + b)n contains n terms.Determine whether the statement is true or…

A: Given, a+bn

Q: 7. The tangent line to a smooth curve r(t) = f(t)i+g(t)j + h(t)k at t=to is the line that passes…

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Q: Exploration Graph y = x2 . Then on the same screen graph y = - x2. Now try y = 0 x 0 and y = - 0 x 0…

A: Given, y=x2

Q: 11. The value of k such that the line y = 4x - 3 is tangent to the graph of f(x) = kx² is

A: The function is given by fx = kx2                                 .........1 The equation of the…

Q: Given f(x)=2x+√√x, find (1') (3)

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Q: Find the limit. 1 2) lim X-2 x+2

A: Find the limit

Q: A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun…

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Q: Find the first derivatives. 1. f(1) = (²+1)5 2. f(P)=p³ + 3p²-7P+2 (3.)(1)-41²+11 Vi+1 4. g()= y²-2y…

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

Q: Let 8₁ = [L1 L2 (A2-1) L₁+L2 x AT Find the value of 8₁ by taking this limit: lim 8₁. Leave the…

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Q: f(x) = ln(x), ro= 100, and 2₁ = 105.

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Q: Find the limit lim h->0 lim h→0 f(−11+h)-f(-11) h f(−11+h)-f(-11) h 0 if f(x)=1238 - 6x².

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Q: 12. Given the function f(x)=2x+7 and g(x)=x-2 a. f(x)+g(x) b. f(x)-g(x) c. f(g(x)) d. f(3)+g(-3) e.…

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Q: a graphing f(x) = 8x + tan(x), [-]

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Q: In calculus, this expression is called the difference quotient of f.(a) Express the slope of the…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Determine if f(x) = [-x] - π, csc ¹(3 ln x), |2x²- 5+2| x 2 " if x ≤ 0 if 0 2 is continuous or not…

A: We have to check whether the given function is continious at x = 0 and 2. If the function is…

Q: 4. #x²+x-620, then xs-3 orx 22.

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Q: Use the definition of the derivative to find the derivative of the function f(x) = 6√/10x tangent…

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Q: 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of…

A: NOTE: Refresh your page if you can't see any equations. . the population(in thousand) of the town…

Q: (a) Find an equation for the tangent plane to the 11-level surface of f(x, y, z)= 3x² + 7y² + 2² at…

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Q: A computer password is required to be 6 characters long. How many passwords are possible if the…

A: Total number of letters=26 Total number of digits = 10

Q: +2u c) Let s(u) = 5e2u³+ + 7 √u³ Compute d.s du

A: Topic:- application of derivatives

Q: Suppose that the dollar cost of producing x appliances is c(x) = 700+ 110x -0.4x² a. Find the…

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Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

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Q: Chrome File Edit View History Bookmarks Profiles Tab Window Help ● il C CLASS WARMUP for Section 3 X…

A: Given query is to find characteristics of the curve.

Q: f(x) = x5 + 8

A: Given, fx=x5+8

Q: is thrown straight down from the top of a 470-foot building with an initial velocity of -23 feet per…

A: Given query is to find the velocity different points.

Q: Use cylindrical shells to find the volume of the solid formed by rotating area bounded by the gra…

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Q: what is increasing function?

A: Increasing function It's constantly rising. The trail we're on occasionally slopes uphill,…

Q: Show that a constant function f1x2 = b has an averagerate of change of 0. Compute the average rate…

A: Given function  (i)  f(x) = b (ii) y = 24 - x2

Q: lim x 4 X-4 X-4

A: Answer for first question is =-0.0625 Answer for second question is =-4/(3u-1)2

Q: eous rate of change of f(x) when x = 1 ? traight line travels s(t) km. in t hours where

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Q: In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B.…

A: Here we are provided with some function's graph and we have to match them with their function's…

Q: f(t)=−5t2−4t+5 Find f′(t):  Find f′(1): Find f′(2):

A: Given that  f(t) = -5t2 -4t +5 We need to find  (1)  f'(t)  (2) f'(1) (3) f'(2)

Q: '(x) = ( 13 + x1, (x-1)², x x

A: T(x)=|3+x|x<-1(x-1)2x≥-1

Q: 4. Find the derivative of the function. f(x) = In(tan x) 5. Find the derivative of the function.…

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

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) D.…

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Q: Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is…

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Q: Let g(x,y,z)=x^3 y^2 z sqrt(14−x−y−z)   1. Evaluate g(1,2,3).g(1,2,3). Answer:…

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Q: Part E: Recall that GPA = (total points)/(total credit hours). What is your friend's overall GPA?…

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

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Q: f(x) = 5; df dx = 5x

A: Given query is to find f(x) is the solution of the differential equation or not.

Q: Find the area of the parallelogram that has u = i − 2j + 2k and v=2j+ k as adjacent sides. NOTE:…

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Q: w many years are required for an investment to double in value if it is preciating at the rate of 2%…

A: Given query is to find the time needs to make the investment double.

Q: 2. Find the equation of the tangent line to the graph of f(x) = x³ - 2x² + 5x -3 at the point (1,1).

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

A: The domain is the set of all possible input x values while the range is the set of all possible…

Q: 21-24 Find an equation of the tangent line to the curve at the given point. 21. y = sin x + cos x,…

A: I have appended the formula used in the solution part of the question

Q: Consider the points A(3, −3, 3), B(4, −5, 0), C(−3,−4, 0), and D(6, 2, –6). (a) Find the volume of…

A: Let's find volume and distance.

Q: Find the term indicated in the expansion (x2 + y3)8; sixth term.

A: Given: The given expression is: (x2 + y3)8 Formula Used: The Binomial expansion: a+bn = C0nanb0 +…

Q: measured in hours. Determine the time intervals when the train is slowing down or speeding up. The…

A: Given query is to find the interval where train is speeding up and down.