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

Q: Which of the following corresponds to the limx→4 (¹2) w when evaluated? 0 4 2

A: Here is the solution:

Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: The graph of f is given below. -2.5 -2 -1,5 Why is f not differentiable at x = 1? Of is continuous…

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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: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

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Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Evaluate the derivatives of the following functions using implicit differentiation. Write your…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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

A: Integrating the given function gives the antiderivative.

Q: lim f(x) = 9 lim_ g(x) lim_h(x) = 0, X→2 X→2 X→2 find the limits, if they exist. (If an answer does…

A: Topic = Limits

Q: Which of the following represents the derivative of f at x? f'(x) = f(x₁-Ax) + f(x1) Ax f'(x) =…

A: See this solution

Q: Find y'. tan(x + y) = x + y

A: Solution ) tan ( x + y ) = (x + y ) Differentiate with respect to x d/dx tan ( x + y ) = d/dx ( x +…

Q: xcsc {( 2 ) - »]dx + y y dx+xdy=0 X (x² − xy + y²)dx−xydy=0

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: The given differential equation,      2y'+y=7t2

Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

A: We have to choose the correct option from the given options according to the given information

Q: Solve the given initial-value problem. Give the largest interval I over which the solution is…

A: We have to find the solution and the interval.

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)? dx = cos (x − 3) dy dx = cos (2x - 3) dy = cos…

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Q: Consider the level surface defined by the equation x² + 2y²-3z² - xyz = 8, find the following: a)…

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Q: 10 5(5+10) a/n A ナ B 5+10

A: See the details solution in below

Q: what is y' of y=sin-1(cos x)

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Q: e2x (x²-4) Given: y = Determine the following: a. Symmetry b. Intercepts c. Vertical Asymptote/s d.…

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Q: Culator. A particle is moving with velocity v(t) = 1²- 9t+18 with distance, s measured in meters,…

A: The objective is to find total distance travelled.

Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

A: The simple use for plane and point and normal vector..

Q: Evaluate: limt. +00 ln 5t 4t²

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Q: Find y' tan³ (5x - y) + cos ¹(5x - y) = 100

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Q: 3. Consider the vectors X and Y in R³ where X = -i+3j and Y = 4i-2j+ 2k. 1, Find the unit vector…

A: We can solve this as follows:

Q: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: Trapezoidal rule:-∫abf(x)dx=∆x2{f(x0)+2f(x1)+2f(x2)+...+2f(xn-1)+f(xn)}where ∆x=b-an, n is the…

Q: What is the lim→( For answers that are fractions infinity negative infinity 7 sec (7x) cos(3x)?…

A: See the details solution in below

Q: Write the given system in the form x' = P(t)x+ f(t). x' = 4x+6y + 8 et y' = 8x-y-t¹ D-AD-41 C

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Q: 50° 60° 70° ?

A: To find the measure of the unknown angle in the following figure.

Q: Evaluate: lime 1-sin 8+cos 8 sin 20-cos 0

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Q: Find y' y = e2x - e3x e4x

A: This question is based on diffrentiation of exponential Function.

Q: Given the graph below, what can you say about the function at x = -1? Continuous Not Continuous

A: Explanation of the answer is as follows

Q: Find the integrating factor by inspection then solve the following differential equation. Show your…

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Q: Evaluate: lime 1-sin 0+cos 0 sin 20-cos 0

A: The objective is to evaluate the limit.

Q: For the following exercises, draw a typical slice and find the volume using the slicing method for…

A: Follow the procedure given below.

Q: 7. Determine the dimensions of a rectangular box, open at the top, having a volume of 32 ft³, and…

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Q: Which of the following corresponds to the x-4 √x-2 evaluated? 0 4 2 DNE limx→4 ( when

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Q: Which of the following is TRUE about the function y domain is greater than 3 O as →→ 00, y → 0 x = 3…

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Q: 3. A point P(3,0,5) lies on a plane that can be defined by the scalar equation Ax+By+Cz+ D = 0. A…

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Q: How. Find the lengths for the following curver. 7 \- r = 1 + cosa

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

Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: Evaluate: limt o sin 3t t5 (t-1)² using L'Hôpital's

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

Q: dx (x²+1)(x²-4)² dx (x²+4x+4) (x²-4) dx x(x+1)(x²+5x+6) S S S

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

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Q: What is the lim (3)¯ I 7 sec (7x) cos(3x)?

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Q: Evaluate: lim, 1+ (-1)2 tan(x)

A: Evaluate the following limit

Q: Given the table of values of the function below, what is its limit as x approaches -1? x -1.25…

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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