Indicate whether the table specifies a function. Range - 15 Domain - 10 -12- - 15 12 The table is not a function. The table is a function. -1 - 19 - 10

Q: Find the vertex of the parabola Enter the exact answers. X = y = y = x (x-9).

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x)=√√2x+2 Suppose that g(x) = 2x + 2.

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Q: Evaluate the integral. Jo 4 dt 16+ t²

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Q: What limit must be calculated to find the rate of change of a function g(t) at t = t0?

A: To determine the limit that must be calculated to find the rate of change of a function gt at t=t0.…

Q: The graph of g'(x), the derivative of a function g(x) is pictured below on the closed interval [-9,…

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Q: x-1, (10) Consider the function f(x)=x+2 4 (a) Sketch the graph of f (b) limo-f(x) (c) limz+o+ f(x)…

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Q: f(x)=2x2 + 5  domain: range: Thank You! :)

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Q: iv. lim f(x) = X-4

A: Given: limx→4f(x) Note:limx→a+f(x)=LMeans Every ε>0   such that  f(x)-L<ε   whenever…

Q: Suppose f(x) = 13 - x² (a) Find the slope of the tangent line to the graph y = f(x)x= -1 when lim…

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Q: 1 im f(x) = 4x +3 y=7 00 sx+4

A: To find the limit of the given function.

Q: Find f'(x). f(x) = 5 AIG X +x/+

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 2(3tt³)i + 6t²j at aN =…

A: We find the first and second order derivative of r(t)

Q: The differential equation −3xy² + 6xy + (−3x²y + 3x² + 1) = 0 dy dx Has solutions of form F(x, y) =…

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Q: Find the limit. lim (x, y) → (4, -2) X (x²y + 6xy² + 3)

A: Given query is to find indicated limit.

Q: How many years would it take your money to double: (a) At 10% interest compounded yearly.  years.…

A: NOTE: Refresh your page if you can't see any equations. . the compound interest formula is given by…

Q: Find the sum of the series below. 8 W 0-1 64η (2η - 1)2(2n + 1)2

A: Given :∑n=1∞64n2n-122n+12

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n! 42n…

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Q: A residential property is assessed for tax purposes at 37% of its market value. The residential…

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Q: Solve the given initial value problem. y" -8y +30y'-56y=0; y(0)= 1, y'0)=0, y''(0)=0 y(t) =

A: To solve the given initial value problem. y'''-8y''+30y'-56y=0; y0=1, y'0=0, y''0=0

Q: Please show examples and final answers

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Q: Find the slope of the graph of the function g(x) = The slope of the graph of the function g(x) =…

A: Given: g(x)=6xx+5 at (-3,-9)

Q: 1. Is the function g(x) continuous at x = 5? If so, why, if not, classify the discontinuity.…

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Q: K Let f(x) be a differentiable function such that f(4) = 3 and f'(4) = 5. If g(x)=x².f(x), then find…

A: The objective is to solve the above question.

Q: dx T 3.y" + y = 0, y(0) = 0, y | 4. y" - 2y' + 2y = er(cosx - 3 sinx) (undetermined coefficients) =…

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Q: 11. Without using the calculator, find M-¹. Please show your work. 2 3 M

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Q: Find r(t) if r'(t) = t9i + 4t3 j-t5k and r(0) = j

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Q: 5. 6. xy' = (1- y2) 1¹/2 dy x-e-x dx y + ey +2 dy dx 11 1+ y²

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Q: 7. A function f has a Maclaurin series given by x³ + x²x² 5 X' 3! 5! n 2n+3 (-1)"x²+3 X (2n + 1)!…

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Q: A developer is considering buying a building for $474,000. She will use a straight-line depreciation…

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Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is converge an = n 9⁰

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Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

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Q: 3. A particle moves along the x-axis so that at any time t≥ 0, its velocity TL is given by v (t) = 6…

A: We have to find x at t=0.

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Solve (cosa + ln y)dx + Y +edy = 0

A: To solve the following differential equation.  cos x+ln y dx+xy+ey dy=0

Q: Let f(x) = X x - a Find the value of a so that f'(1) = 1 - 4

A: This question is based on Quotient rule of differentiation.

Q: K Given f(x) = 17x³ cos x, find f'(x). f'(x) =

A: The objective is to find the derivative of f(x).

Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter 'o'…

A: Given:

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A: Here we have to find the partial fraction decomposition of a function.

Q: Solve the equation. Make sure to check for extraneous solutions A) 8^m-7=92 B) 10 (5^3k-3)=40 C)…

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Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. y = -x³ +9, y…

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Q: O (A) f is continuous at x = 3 The graph off is shown above. Which of the following statements is…

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Q: If N is the number of bacteria in a petri dish, and bacteria population is decreasing exponentially,…

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Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A: Given: y=7x2+19x+2+3x

Q: 2 (In x)² x3 da

A: Introduction: The definite integral of any function can be expressed either as the limit of a sum…

Q: Differentiate. F(x) = (7x+1)²2 F'(x) =

A: Given: F(x)=(7x+1)2 Differentiate with respect to x ddxF(x)=ddx7x+12

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find f''(x). 6 f(x) = √(x² + 3) 5 f''(x) =

A: To find double derivative of the given function.

Q: where is the answer for b.

A: We need to write down the answer b.