Determine the intervals over which the function shown below is continuous. Enter your answer in interval notation. Use a comma to separate multiple intervals. -6 -5 -4 -3 7 6 5 4+ 3 Y -2 Provide your answer below: 3 4 5 + 6 7 8 x

Q: 126. Find h'(1) if h(x)= xf(x) + 4g(x). f(x) g(x) 128. Find h' (3) if h(x) = 2x + f(x)g(x). 127.…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: QUESTION 7 Let f(x)=√√x and g(x)=x² Find gof and state its domain Ogof(x)=x Domain: (-∞0,00) O…

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

Q: 8. Find the position function r(t) given that ā (t) = (-1,-1, -1) and (0) = (-5, -5,5) and 7(0) = 0.

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Q: The graph of y = f(x) is given below. Which of the answer choices shows the graph of y = 2f(x)? -1 S…

A: To solve this problem we will apply the concept of vertical stretch factor.

Q: choose the correct answer If you toss a coin 3 times, what is the probability of getting 2 tails and…

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Q: 118. [T] y = 3x² + 4x+1 at (0, 1)

A: Topic = Functions As per guidelines , At a time only one question can be answered. please repost for…

Q: Write the equation of the line passing through (3, 3) that is perpendicular to 5x - 6y = 4.

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Q: x³ - 1 3 lim x-1 x - 4

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Q: Given the vector function (t) = (cos 2t, sin 2t, t), find T(), Ñ(), B()

A: NOTE: Refresh your page if you can't see any equations. . take derivative find the magnitude

Q: Evaluate the following limit Answer: 2e^e limx→e You must enter a valid number. Do not include a…

A: Use L Hospitale rule

Q: 128. Find (3) if h(x) = 2x+ f(x)g(x).

A: Function h(x)=2x+f(x)g(x)

Q: Find the velocity, acceleration, and speed of a particle with position function r(t)= (-7 cost, 5t,…

A: As we know the expression for the velocity is: vt=drtdt The expression for the acceleration is:…

Q: Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

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Q: he dollar cost of producing ?x bagels is ?(?)=300+0.25?−0.6(?1000)3.C(x)=300+0.25x−0.6(x1000)3.…

A: Topic = Algebra

Q: Find the area of the shaded region. 72 e-1 على E -1.0 -0.5 14 12 10 y= 5e/ 8 0.5 (1, 5e) y=5xex² 1.0…

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Q: 1/271/20 Evaluate cos5 (0) de. Write your answer as a reduced fraction.

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Q: For what values of a and b is the line -15x + y = b tangent to the curve y = ax5 when x = 1 ? a = |…

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Q: Given f''(x)=6x-6 and f'(-2) = 3 and f(-2) = - 3. f'(-2) = 3. Then solve for C, giving you the first…

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Q: Evaluate So (ti+t²j+t³k)dt = i+ j+ k.

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Q: For the following exercises, find the equation of the tangent line 7(x) to the graph of the given…

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Q: For x ≥ 0, find functions f,g,h so that fogoh (x) = (2√ Oh(x)=x4, f(x) = 2x+x², g(x)=√x g(x)=x4,…

A: Topic:- function

Q: how do we know when to use a trig subsitution?

A: how do we know when to use a trig subsitution?

Q: 5) The equations r² + y²s + yt² - 13 and y² + x²s + rt² = 9 define s and t as implicit Əs functions…

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Q: Given f(x) = 4x + 1 and g(x) = 3x – 4, find- [] d [f(x)] dx g(x) (A) 2 d [g(x)] dx f(x). d [g(x) dx…

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Q: Question Find the average rate of change of the function f(x) = -3x² - 4x + 2 between x = -1 and x =…

A: The average rate of change of a function over an interval x=a to x=b is the ratio of change in…

Q: A ball is thrown into the air. Its height in feet seconds later is given by s(t)=40t - 16t² Find the…

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Q: The equation of the tangent line to the curve y=3x² - 2x

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Q: Question Find the average rate of change of the function f(x) = −x² + 12x - 32 on the interval [3,…

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Q: Determine whether the graph represents y as a function of x. Explain your answer. (a) -6-4-2 y 12 10…

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Q: QUESTION 2 1 1 Express as a single logarithm:In([x+ 2]³) + — In(x) − − In([x² + 3x + 2]³²) - 3 2 2…

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

Q: 2. Find the general solution. a) a' = -(2/t)x+t. b) y'+y=e². c) x² + 2tx=e-t² 1. First-Order…

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Q: Question How much work does it take to pump all the water over the top edge of a cylindrical tank of…

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Q: b) h(x) = 5e cos(x)

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Q: H Question Completion Status: QUESTION 4 State the domain of: g(x) = □ (-∞, -2) U (-2, ∞ ) O(-∞,2) U…

A: We have given function  gx=x+3x2+x-6 Domain is the values of x for which a function is defined.…

Q: If f(x) = x² + 2x + 1, find the following values (you do not need to simplify the expression): 1. f…

A: Given function, fx=x2+2x+1

Q: Find the equation of the line tangent to the graph of f(x) = -3x² + 4x +3 at x = 2. Provide your…

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Q: Use the equation f ′(a) = lim x→a  f(x) − f(a) x − ato find f ′(a) at the given number a. f(x) =  x2…

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Q: 11 6.25 12 12.5 X 13 25 X 14 37.5 X 15 50 X

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Q: QUESTION 3 Let f(x)=√x x and g(x)=x² Find gof(x) and state its domain.

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Q: Let f(x) = 1 x-2 Find and simplify the difference quotient: f(x)-f(a) x-a

A: Given that:  f(x) = 1/(x-2) . And we find. ( f(x)-f(a))/(x-a).   We know that l.c.m.of : 1/x +1/a =…

Q: 5. Give a rough sketch of the quadric surface y = −x² − z² + 5.

A: since the given surface is 3d so it need to be plot on 2d on paper by assuming z=1

Q: Suppose that f(x) = X 4x-8 Then, The domain of f is {x € Rx # Number} and ƒ-¹(x) =

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Q: Find the equation of the line tangent to the graph of f(x) = x² - 4x + 3 at x = 1. Provide your…

A: we need to find the equation of tangent line.

Q: 9. Find f'(x) for the function f(x) = sin² (cos(4x)) 10. Find f'(x) for the following functions: a)…

A: Topic = Derivative

Q: Find the average rate of change of the given function on the interval [4, 7]. h(z)= 3x² + 2x - 2…

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Q: lim cos (2/x + pi) x-infinity

A: The limit is given by limx→∞cos2x+π To evaluate: The value of the limit.

Q: (A) If y = 5x x² - 4 dy dx dy dx dy dx dy then = dx −5x2 — 20 (x² - 4)² 5x2 – 20 (x²-4)² −5x2 +20…

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Q: Compare the functions f(x) =x*7 and g(x) =e*x, When does the graph of g finally surpass the graph of…

A: Compare the functions f(x) =x*7 and g(x) =e*x, When does the graph of g finally surpass the graph of…

Q: QUESTION 7 Find tan (sec¹(5)) 6√6

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Q: An epidemic is growing in a region according to the rate N' (t) = 88t ", where N(t) is the number of…

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