Question 10 88 T- 53° NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3 decimal places as needed. 25°

Q: if x -1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim z→-17…

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Q: Rates of Change and Tangent Lines

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Q: 0 y = 2 sin 3x + 1 (a) The graph above shows part of the curve y=2sin3x+1. Find the area of region…

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Q: Algebraically determine the limit: a) lim tan(x) 7m H4 (Hint for part b. Consider the quadrant and…

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Q: The graph shows the number of trips taken annually on a certain state's mass transportation system.…

A: We can find the answers in the following steps.

Q: Determine the average rate of change for the function f(x): = -1≤x≤1. a) b) c) d) - 4 3 18 3/2 x x-3…

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Q: Determine if the sequence (nsin(pi/n)) is convergent or divergent. Find its limit if it is…

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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: The bungee jumper's height, h, in metres, above the ground after t seconds, is shown in the graph. m…

A: Please see the below answer.

Q: 8. What is the amplitude of the function f(x) a. 1.5 b. 2 c. 3 = 3(sinx) (2cosx)? d. 9

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Q: 1 1 1 6⁹ 9' 5' 1 24 24⁹ 40 and 5 12

A: Given fractions:- 16, 19, 15, 124, 140, and 512

Q: Solve for x, to two decimal places. 200 = 4(5)* O a) 10.00 Ob) 2.43 Oc) 12.15 d) 1.87

A: The given equation is: 200=45x   As we know from the logarithmic property, logbxa=a·logbx  where…

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: 1. (a) f(-2) (cf (1) ๆ -3 (b) f(−1) (d) f(1.5) 3

A: The graph of the function is:

Q: In the set of all strings of eight uppercase letters (possibly repeated) from the English alphabet,…

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Q: Evaluate log2 8 to three decimal places. Oa) -0.195 Ob) -5.129 Oc) -12.000 Od) -4.710

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Q: simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = 10/x

A: Given query is to find simplified diffrence and quotient for given function.

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: Convert the angle 420° to radians:

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Q: Solve 2sinx + 1 = 0 on the interval x = [0, 2π], to the nearest hundredth of a radian. a) x=210,…

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Q: Question 4: Write the equation of a quadratic function that has been shifted four units to the…

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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: Using the function f(x) = − 4x² + 6x + 1, find the slope over the interval listed below: - [-9,5] m=

A: Please refer to the image below

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

A: We can sketch the graph of the given function after complete the table .

Q: The table of values for f(x) = x³ and g(x) = x³ - 2 is shown. Now, use this information to complete…

A: The given functions are fx=x3 and gx=x3-2 To find the transformation of gx from fx

Q: Find the general solution and the particular solution to the given initial condition of the…

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Q: 二十三 _{{x} = {\}\

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

Q: Given the function graphed in black below, 6

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Q: W 2 2 -2

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

Q: Given the points P=(1,0,1) and Q=(5,-4,3) find an equation for the sphere for which the segment PQ…

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Q: To graph the function f, we plot the points (x, f(x) ✔ (x₁ To graph f(x)=x2-4, we plot the following…

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Q: Solve the following initial value problem: = y(-1)=2

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Q: Let g(z) Identify the domain, intercepts, and vertical and horizontal asymptotes. Asymptotes must be…

A: Given, g(x)=x+2x2+x-6

Q: a B b с A

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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 dy/dv for  y= ∫v0 [(7+8t2)](1/2) dt.

A: Given:- y=∫0v7+8t2dt To find:- dydv

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

A: Solution:

Q: 5TT Convert the angle from radians to degrees. 4 5T 4 = degrees Convert the angle 210° to radians.…

A: conversion from radian to degree=number of radian×180°π

Q: An electricity company charges its customers a fixed base charge of $8 a month, plus 12 cents per…

A: Given fixed cost= $8 per month Costs  for the first 500kWh cost is 12 cents = $0.12 per kWh for the…

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: To find the derivative of given function

Q: f(x)=√x-2 X-4 find lin f(x) Xx4

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

Q: Find the constant a such that the function is continuous on the entire rea 6sin x X g(x) = a 8x if x…

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Q: unction f is defined as follows. -3x+5 if x < 1 4x-2 if x21 nd the domain of the function. ocate any…

A: Topic:- calculus

Q: What is the equation of the tangent line to y=e^7x−9/e^x at x=0? Write the equation in…

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Q: Let f(x) = 2x = 2x − 3 and g(x) = x² + 3x + 4. Evaluate the following. a. f(3) = 3 b. f(-4)=-11 c.…

A: As parts a,b,c and d are already correctly marked, the solutions for remaining questions are given…

Q: Find two vectors ₁ and 2 whose sum is (−1, 4, −5), where ₁ is parallel to (2, 1, −2) while №2 is…

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Q: Radium decomposes at a rate proportional to the quantity of radium present. Suppose it is found that…

A: Let present amount of Radium =x

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: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C