Given the graph below, what can you say about the function at x = -2? -10 Not Continuous Continuous

Q: In sketching In (x - 2)² y = ex² determine the intersection of the " curve and the horizontal…

A: Solve the following

Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

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Q: Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The…

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Q: Below are three functions with their domains and codomains specified. For each one, classify it as…

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 23T² – 96T + 12, 5 < T < 35…

A: The number of bacteria in a refrigerated food product is given by N(T) = 23T2-96T+12,  5&lt;T&lt;35…

Q: A conical vessel is 12 m across the top and 15 m deep. If it contains water to a depth of 10 m, find…

A: We need to consider a section and then integrate accordingly.

Q: ii. Given g(x)= √x²+5 if x<-2 3-3x if x2-2 Find the following: d. g(-2)= e. Determine with an…

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Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Using the limit definition of the derivative

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

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Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: d- d³y dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

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Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: 8. 1 (1+x)√√x / dx

A: We have to find out integral

Q: 2. f(x) = 4x5 + 3x² - 7

A: To discuss the continuity of the given function. To give the intervals in which he function is…

Q: 10 5(5+10) a/n A ナ B 5+10

A: See the details solution in below

Q: 5 Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and…

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Q: 5. Find the volume of the solid generated by revolving about the x-axis the region bounded by the…

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Q: Find a value of n such that y= x" e satisfies the equation xy' = (x-6)- y. (Use symbolic notation…

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Q: Suppose you make napkin rings by drilling holes with different diameters through two wooden balls…

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Q: rite the first five terms of the sequence: √n² +10n-n}+1 = etermine whether the sequence converges,…

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Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

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Q: Which of the following is equivalent to log₂ (2x²) - log₂ (¹) - log₁(x¹)? Select one alternative: O…

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Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

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Q: What is the derivative of y = 3x6? 2x6 2x5 18x6 18x5

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

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Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: 1. Solve the equation 6³x+1 = 22x-3 Leave your answer in exact form.

A: We have to find out x

Q: The following table shows the rate of water flow (in L/min) through a dam. t (min) 15 9 13 17 21 25…

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Q: Question 3 Sketch the following function fully: €²-2²-1 y= ²-4 Upload Choose a File

A: Given function, y= (ex-x2-1)/(x2-4)

Q: d- d³y dx3 d²y +69² y dx² - dy 15- dx 100y = 0 equation

A: Topic = Differential equation

Q: c - [² x ² (1 - √x ) ³dx 0

A: In this question we have to evaluate the Integral.

Q: Calculus I

A: use the table and differentiation to find the correct answer.

Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

A: Find out the total distance travelled during the first 10 seconds.

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: 6. Derive the reduction formula for f q²dq (a²+q²)m

A: Using substitution find the reduction in trigonometry function

Q: Q20) Two boats leave the same port at the same time, with boat A traveling north at 15 knots…

A: Let's find distance changing between two boat.

Q: x2 − 4 (1) Let f(x) x2 +4 (a) Find the vertical and horizontal asymptotes of f. =

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Q: Given the differential equation y'' − 3y' – 4y = - 2 sin(2t), y(0) = 0, y'(0) = - = - 1 Apply the…

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Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the…

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Q: Let f(x) = Bx2 + 6 t where Bis a constant. If the slope of the tangent line to the graph of f at æ =…

A: f(x)=Bx2+6sqrt(x).

Q: What makes a function f(x) continuous at x = c? I. f(c) is defined lim f(x) exists II. X-C III. lim…

A: The function f(x) is said to be continuous at x=c if: I) f(c) is defined. II) limx→cf(x) exists.…

Q: Given f(x, y, z) = √x2 - z+ 1 = ду 2Va²-z o af Х - z ду ala ala ду = Vx2 ет - У - у2 Y Determine af…

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Q: What is the limo+x².In(x) For answers that are fractions infinity negative infinity write... in…

A: L' Hospital Rule  :   If limx→a f(x)g(x) = 00 and ±∞±∞ form , then               limx→a f(x)g(x) =…

Q: 7 Which of the following functions is not differentiable on all of R? Select one alternative:…

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Q: 22 Given the cross product of 2 vectors u and vis, u x v= -3i-3j+3k, and their dot product is,…

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: Solve the Homogeneous Equation using the given substitution. State the value of a. a= x² - y² - xy =…

A: As per the given condition I have to use the substitution y=vx such that dydx=v+xdvdx