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Q: Objective #5 In Exercises 1-19, find all real values of x such that f(x) = 0. 1 f(x) = 3x +5 2x - 3…

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Q: Decide whether the following problem can be solved using precalculus or whether calculus is…

A: A bicyclist is riding on a path modeled by the function fx=0.0310x-x2 where, x and fx are measured…

Q: Find the average rate of change of the function over the given intervals h(t) = cott a. b. π 3π 4' 4…

A: Given function f(t)= cot twe know that Average rate of change of function y=f(x) over the interval…

Q: 3. Let w = 3-3i and z= -2+2√3i. (a) Express w and z in polar exponential form. (b) Express (wz)10 in…

A: The given complex numbers, w=3-3i and z=-2+23i To find w and z in polar exponential form.

Q: X y -3 4 -1 5 7. -4 6 -3 7 X y -3 5 -1 4 8. -4 0 5 7

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Q: Question 10 Convert the angle -165° to radians:

A: As we know that; The angle which in degree can be converted into the radians by the formula,…

Q: The cost of making xc articl day is given C(x) = ½/2² x ²² + and the price function is f Find: O The…

A: Topic:- calculus

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it…

A: Topic-Linear function

Q: 1. What is the 'exponential equation' of the function shown? 0 3(5*) b) f(x) = 3(5) a) f(x) = = -x…

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Q: Felicity runs her family's small cupcake shop, which designs and bakes cupcakes in different…

A: Given   Cost of processing (per Cupcake) Maximum total Cupcakes (per Day) Machine 1 €0.20 100…

Q: Solve the following equations 1) 2 (y + 1)e* dx + 2(ex - 2y)dy = 0 dy — 2) 2xy dx + y² - 2x = 0

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Q: a circle of radius 6 feet, what angle would subtend an arc of length 7 feet? (Round your answer to…

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Q: The foci are on the x-axis, the x-intercepts are ±2 and they intercepts are ±1.

A: find the equation of ellipse

Q: Q3. Evaluate the circulation around the closed path shown in the Figure for, which represents a…

A: The given closed path is shown: It is a part of the sphere with radius r=4. The curves enclose the…

Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: y sinx - xy² = C

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Q: Which of the following is a polynomial function? a) f(x) = sin x Ob) f(x) = cos x O c) f(x) ○d) ƒ(x)…

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Q: Determine the amplitude of the sinusoidal function π -3 sin [2(z − )] + 3 Y = +1

A: Given,             y=-3sin2x-π3+1To find : Determine the amplitude of the sinusoidal function.We…

Q: A cylindrical tank of height 13 metres is full of water at time t = 0 seconds. is turned on at the…

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Q: 4) The graph below represents the relationship between velocity and time during a motion. graph to…

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Q: Given a cost function C(x) = 20 + 10x + 5x², calculate the average cost at a productions level of x…

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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: h(t) = √t+6-2 (a) h(-6)) 1 5. f(x) = x² - 4 (a) f(2)) 6. f(x) = √3x + 5, x² +2, (a) f(-2)) x < -1 x…

A: The objective of the question is determine the value of the given function.      Note -  As per our…

Q: Find lim X-7 X+4 X+1 X + 4 X + 1 lim X-7 (Simplify your answer.)

A: This question is easily solved by direct substitution

Q: 二十三 _{{x} = {\}\

A: Assume the bracket part as another variable and then use Chain Rule. And use basic identities of…

Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

A:

Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: x = 20, and Σ x = 84. Calculate the sample variance for samples where N = 12, X

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Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A:

Q: Identify if it is function or relation

A: This question is related to Functions and relations, we will solve it using given information.

Q: 3. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: If y = sin 0 + 5, what is the minimum value of y? a) 4 b) 5 c) 3 d) 8 e) 11

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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: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

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Q: L’Hopital’s Rule. Find the limit of (xl - 1)/l as l goes to 0 (not x, l). This is called the…

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Q: W 2 2 -2

A: First we figure out the parent function of above graph.

Q: Suppose u = (1, −5, −1), v = (-2,-1, -3) and (1, –4, 4). Then: W = U • V= u • w= v • W= v • v= u •…

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Q: Use Green's Theorem to evaluate the line integral F.dr, where F(x, y) = (x√√x+y₁x² + √√) and C is…

A: Here we have to apply greens theorem.

Q: The graph below is the function f(x). -8-7 19 Find f(-2) Find lim O H12 ● 7 Find lim f(x) z 0 16 16…

A: In this question, we need to solve these limits using the graph.

Q: Determine the exact value for cot the CAST rule. 11л 6 without using a calculator by using special…

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Q: Compute the angle between the vectors + j − k and - i- j - k. angle = radians (Give your answer in…

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Q: The graph below is the function f(x) -5 -4 -3 -2 Find lim 4 3 2 01 Find lim -1 I→-1- 34 Find lim…

A: Given the query is to find indicated limit from the graph.

Q: State the equation of the this graph using the cosine function. y & 2 - + -2 R 2n 0

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Q: The amount of money, A(t), in a savings account that pays 3% interest, compounded quarterly for t ye…

A: Here is the solution:

Q: Three runners compete in a 200-meter race. The graph depicts the distance run as a function of time…

A: running distance =200m

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

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

Q: Given f(x) = cos x and g(x) = sin x a. Determine (fog)(π) b. Determine (g¯¹0g)(x)

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Q: Let →u=⟨6,−4,−6⟩ and →v=⟨−5,−3,−6⟩. Compute the following:

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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: 1. A radioactive substance with an initial mass of 5kg has a half-life of 30 months. a) Write an…

A: Answer is in next step!