Consider the function in the graph to the right. The function has a maximum of at x = The function has a minimum of at x = The function is increasing on the interval(s): The function is decreasing on the interval(s): The domain of the function is: The range of the function is:

Q: By considering different paths of approach, show that the function below has no limit as (x,y) →…

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Q: Answer: Compute the value of the following improper integral. If it is divergent, type "Diverges" or…

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Q: Model the data using an exponential function f(x) = Abx. f(x) = x 1 f(x) -51 X 2 -65.025

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Q: line to the graph of y = g(x) at x = 4 is 4x+12y = -56 It follows that y = is the equation of the…

A: Given that at x=4, 4x+12y=-56 is a tangent.

Q: Set up an integral for finding the Laplace transform of the following function: where A f(t) = =…

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Q: Give the derivative formula for the function. g(x) = 6x2/3 − x−1/3

A: To find the derivative

Q: x 17. f. 1+2 dx -∞1+x² 18 1 dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Using the Inverse Function Theorem, what is (s−1)′(1) given that s(x)=3x3+6x2+9x+7? Note that…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 1) 2) t³ + 2t² √t dt √x (x-2) dx

A: Here is the solution:

Q: $ Let F= (y.x) and C be the circle of radius 5 centered at the origin oriented counterclockwise.…

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Q: 1. S x(x) dx x(lnx)² sin 0 cos² 0-cos 0-2 2. S- 3. f x² tan-¹ (1) dx 4. f(cot ¹ x + tan¯¹ x) dx 5.…

A: To solve integral

Q: Question 2 Calculate the value of the triple integral R z√√x² + y² + z²dV, where R is the solid…

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Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: Calculate the Wronskian, W(y₁, ₂'' 1 if the set is linearly independent or not. 1. y₁ = sin2x, y₂ =…

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

Q: Use interval notation to indicate where f(x) = x+2 if x 1

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Q: Find a function f(x) such that f'(x) = 7e² + 4x and f(0) = −2 f(x) =

A: We need to find out the function.

Q: Finn all local and global maxima and minima for the function f(x) = 2x3-3x + 2 in the interval [-1,…

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Q: Find all rational zeros of the polynomial P(x) = 3x¹ - 3x³ - 7x²+x+2, and then find the irrational…

A: Given: px=3x4-3x3-7x2 +x +2 To find: Rational and irrational zeros of p(x)

Q: Consider the improper integral (a) Find the value of the constant C' for which the integral…

A: Given that , I=∫0∞-2xx2+1-C2x+2dx

Q: been modelled as a = e4xx. 4 The acceleration of an object moving in a strange way has a) Use…

A: The acceleration of an object moving in a straight way has been  modeled as a=e4xx. (a) By using…

Q: Evaluate: lim x ln x. x-0+ 0 O-1

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Q: Derivatives inverse thank you

A: Here we have to find the tangent line.

Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

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Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: 1) x² 1-x² dx

A: (1) given integration is = ∫x21-x2dxlets  substitute   x = sint       ⇒dx = cost dt then integration…

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: ∫6∞ xe-x3dx

Q: Given the function f(x) = −2x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Please see the below picture for detailed solution.

Q: How can I inverse laplace transform? 3 10 (511)2(513)

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Q: A tank initially contains 150 gal of brine in which 60 lb of salt are dissolved. A brine containing…

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Q: 2) Find the derivative of the function f(x) = *³-2x x²

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Q: Let u = (3, 5, -1) and v = (2,2, 3). Find 3u + 7v (i t 3u + 7v. Mi ).

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Q: Find the area enclosed by the curve x = t² - 2t y = √t and the Y axis.

A: Eliminate the parameter t and draw the graph then find the definite integration to get the area.

Q: The functions are all solutions of equation: C = с y = x² + € / xy + 2y: = 4x², (x > 0). Find the…

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Q: Find the angle between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) (a) radians 0…

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Q: Could a step by step solution be provided with this question? Many thanks.

A: We will find the required.

Q: A trough 5 feet long and 1 foot high is filled with water. The vertical cross-sections of the trough…

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Q: 26. Initial height = 5, limit to growth = 30, passing through (3, 15).

A: Given:- initial height =5, limit of growth=30,passing through 3,15

Q: Find the following limit. 25√√x - √√x 3³√√x +3¹/√x lim X→ ∞ 3 lim x→∞ 2³√x - √√x 5 3√x + 3√x 11 co…

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Q: Find u and v if u+2v = 2i – k and 3u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and…

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Q: Find the minimum cost of a rectangular box of volume 190 cm³ whose top and bottom cost 4 cents per…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

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Q: Maximizing the Volume of a Box A box with an open top is to be constructed from a square piece of…

A: Four square pieces at the corners of a square cardboard of size 12 × 12 Inches  And it was made into…

Q: Consider the following position function. Find (a) the velocity and the speed of the object and (b)…

A: Given : r(t)=5t2,4t2   To Find : 1) Velocity 2) Acceleration

Q: Find f'(-2) (This slope should match the tangent line you drew above.) Find f'(0) Find f'(1)

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Q: Given t(x) = 2x² - x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of…

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Q: Simplify tanh(ln(6x))

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Q: Replace the polar equation r = The equivalent Cartestian equation is y = Choose the correct graph…

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Q: What is the area of this figure?

A: Here we have to find the area of the figure.

Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.

Q: 12. fx²e-x dx 13. fx√x² - 4 dx 14. cos √t dt

A: The given integrals are;  13) x sqrt(x2-4) 14) cos[sqrt(t)].