X x-6 (a) f(x + 1)) 7. f(x) = 8. [x²-3, x≤-1 x + 4, x>-1 g(x) = (a) g(-2)) (b) f(0) (b) g(3) (c) ƒ(6) (c) g(-4)

Q: For the curve given by r(t) = (4 sin(t), -3t, -4 cos(t)), Find the unit tangent T(t) = ( Find the…

A:

Q: You are also given a translation of the graph of y = |x + 11. -10-8-6-4-2 ⁹⁰ Write an equation for…

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Q: Perform the test for exactness and determine whether the following differential equation is exact or…

A: Exact differential equation

Q: 1 If f(x) = -2x2² +8x-4, find the following value. f(5)-f(-7) 5-(-7) Give answer as an integer or…

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Q: Another way of writing 16 = 24 is a) log42 = 16 b) log₂ 16 = 4 c) log₂ 4 = 16 d) log16 2 = 4

A: logax = y is equivalent to ay =x .

Q: 5) 3x 4 3

A: given 3x43

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A:

Q: If lim f(x) = 2, and lim g(x) = 7 find: C→C I-C a) lim 4f(z) A C b) lim ln(g(x))

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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: 24. lim xsin- is 110 (A) 0 in(s (B) ∞ (C) nonexistent (D) - 1 (E) 1

A:

Q: For the following set of numbers 3,5,0,1, find the value of each expression: X ouw IX 3 5 0 1 ΣX =…

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Q: <-X dy = (Iny - Xdx y In x

A: Topic:- differential equation

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: 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: 3 x + 3 ' 7. f(x) = x + 2x - 3, 3 2 8. f(x) x-3 x-2’ 6. f(x) = 1 -- = g(x) : - x - 1 g(x) = 3 = g(x)…

A: We can find the value of 'x' for which f(x)=g(x) . Note : As per our Guidelines we can solve first…

Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Question 3 Find: a. b. C f(10x¹-12x³ +9x² -8x+1)dx 8x4 +9x³-7x X dx [(2x² - 4x +5X3x + 2)dx

A:

Q: Which of the following can be used to estimate the instantaneous rate of change at a point on a…

A: The instantaneous rate of change at a point on a continuous function.

Q: Given the function graphed in black below, 6

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Q: (a) Find the slope of the curve y=x²-2x-2 at the point P(2-2) by finding the limit of the secant…

A: Here given curve y=x²-2x-2 Slope to the curve is  m= limx-&gt;2(f(x)-f(2))/(x-2)…

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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

A: A.

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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

A: To plot the angle π5

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

A:

Q: A tourist has a pamphlet that contains the following list of taxi fares for various distance. How…

A: Given:- n = 4 Formula Used, The equation of the regression line is:- Y= a+bX Where b is the slope…

Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

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: (a) Evaluate the limit 9n²-n+9 lim n o 13n2+8n+15 Enter the exact value for your answer. 数字 (b)…

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

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

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Q: Find k if 2x + 1 is a factor of kæ³ +7x² + kx − 3. a) k = -2 b) k = 2 Ock= 11 d) none of the above

A:

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

A: Solution:

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: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12

Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

A:

Q: In a circle of radius 8 miles, the length of the arc that subtends a central angle of 5 radians is…

A: Given Radius of circle is 8 miles Central angle = 5 radian

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: -10 -8 -6-4 -2 > y 10 8 6 4 2 -2 4 -6 -8 -10 2 4 6 8 10 X

A:

Q: 17. [sec u] = (sec u tan u)u' dx

A:

Q: provide

A:

Q: Find the exact value of the following expression for the given value of 0. Do not use a calculator.…

A: The given expression is tanθ4 if θ=2π3 use the trigonometric ratio and values,…

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: What is the equation of the horizontal asymptote of y = 2x - 2? a) y = 0 b) y = -2 c) y = -1 d) x =…

A:

Q: If ƒ = {(1, − 1), ( – 3, 1), (2, the following values of f and g. a. f(1) b. g(2) = = 3 c. g = d.…

A: Given :- f=1,-1,-3,1,2,14,π,1 and g=2,-1,-3,-2,34,-1 To find:- f1 g2 g34 f2 g-3 fπ

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

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Q: If r(t) = −4ti + 6t²j – 4tk, compute the tangential and normal components of the acceleration…

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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: Solve (x² − 1)(x² + x − 2) >= 0 using an interval chart.

A: Topic:- algebra

Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

A: