QUESTION 1 {fektsin(t-1)dt} Let F(s) = xe 3 -3 -2 and F(2) = 25 . Then k = .

Q: In x Find an equation of the tangent line to the curve y= X at the point (1,0).

A: Given

Q: For the given function, (a) find the slope of the tangent line to the graph at the given point; (b)…

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. nº Σn=1…

A: use ratio test to check the convergence of series

Q: Find the derivatives of the following functions. (a) f(x) = ln(ln(sin^-1(e^2x))) (b) g(x) = x^5x

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Q: ? ? ? ? ✓ 1. f(x) 2. f = ✓ 3. f(x) 4. f = = (²2 x x-2 1 2 3 4 5 (² if x < 3 if x ≥ 3 2 4 3 1 5 x+2…

A: Gievn : The following functions all have {1,2,3,4,5} as both their domain and codomain.

Q: A population numbers 19,000 organisms initially and grows by 8.5% each year. Suppose P represents…

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Q: Evaluate the given expression. Take X 3 B-B and C A= 2 AT + 3CT 5 ↓ T -1 -2 ↓ ↑ 1 1 -1 -1

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Q: Y₁ = x4 − 3x² − 1 x² + 5 6 y₂ = x² −8+ 39 x² +5

A: Given : y1=x4-3x2-1x2+5    &amp;    y2=x2-8+39x2+5

Q: Express each function as a composition of two functions. (Find f(x) and g(x) such that the given…

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Q: To find the volume of the solid obtained by rotating the region enclosed by the curves y = 31 √√x-3…

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Q: Suppose the second derivative of a function f(x) is f"(x) = 2x - 1. Suppose x = 1 is a critical…

A: Given that: f''(x)=2x-1

Q: -S dx x² + 2x + 5

A: Question no. 29,Giiven,             ∫1x2+2x+5dx

Q: Find the average rate of change of f(x) = x³ - 2x+8 over the following intervals (a) From 7 to -5…

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Q: For the function f(x)= = 7 x 2. x²+3x+2 x²-1 " which of the following statements is TRUE: The…

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Q: Suppose that f(x, y) = 1x¹ + 1y¹ - 1xy then the minimum is Submit Question

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Q: Question 3 of 12 View Policies Current Attempt in Progress A chemical processes a reagent whose…

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Q: 4. Use the graph of the function fto find lim f(x), lim f(x) and limf(x), if the limit exists. x →…

A: To find the limit of the function at the given point from its graph.

Q: Find the global maximum and minimun of the function f(x, y) = y√x − y² − x + 3y on the domain…

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Q: X 4 a. Graph the functions f(x) = and g(x) = 1 + together to identify the values of x for which 2 X…

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Q: Find the natural antilogarithm of the given logarithm. 0.0088786

A: We are required to calculateThe natural antilogarithm of 0.0088786

Q: e of f.

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Q: The demand for a product is given by D(x) = 200e-0.025x, where x is the number of units sold each…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 5t, y = 4t dw dt Value t = 2…

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Q: Dave keeps track of the revenue that his factory makes over time using a linear function: y = 5.50x…

A: Given:y=5.50x+200y represent total profit  of company  and x represent by number of boxes

Q: K The following graph is the graph of a step function. True ●0 False

A: Find the graph is step function or not.

Q: = |x-4, for x ≥4 he correct choice below and fill in the answer boxes to complete your choic (f¹)…

A: we will find the required.

Q: The following function is an odd function. f(x) = x² + 4

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Q: The two vectors u = and v=: Select one: O have the same direction have the same magnitude O have…

A: Two vectors a and b are said to be parallel if  a=kb , where k is a scalar. Given two vectors are:…

Q: Find the Taylor series for f(x) = ln(1 + 4x) about x = 0 by taking derivatives. Σ n=1 Compare your…

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Q: Examine the graph of the given function and determine whether the function is even, odd, or neither.…

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Q: The parametric equation of the line that passes through the point (3, 2, 1) and parallel to the…

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Q: Use a double integral to find the volume of the tetrahedron bounded by the coordinate planes and z =…

A: Given that the tetrahedron is formed by the coordinate planes and z=48-12x-4y

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given,            The curve is y=4x32+5 and the interval is shown in below graph:           We know…

Q: Find Ay and dy for the given values of x and Ax. y = x²x₁ x = 2₁ dx = 0.2 2, Ay = dy =

A: We have to find asked quantities.

Q: 0.6 x² 27. So √9-252³ 0 dx

A: Given integral:- ∫00.6x29-25x2dx

Q: True or false: For any real number a > 1, d[a® ] = log₁(x) aª

A: let y=axlogxn=nlogxd dx(logx)=1x

Q: The domain and range of the square root function below is: Domain: [1, ∞o) and Range: (-∞, -1]. True…

A: Domain: The domain of a function is the complete set of possible values of the independent…

Q: Find the maximum and minimum values of the function f(x) = =x- 8x x+2 on the interval [0,5].

A: Given : critical points

Q: Using the derivative of f(x) given below, determine the critical points of f(x). 19) f'(x) = (x +…

A: As we know that, To determine the critical points of fx, we need to solve of x after plugging f'x=0.…

Q: 4. Choose the statement below that can NEVER be true. O A. I f(x) > 0 B. | f(x) | 20 OC. If(x) < 0…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

A: The given function is:f(x,y)=xy-5x-5y-x2-y2

Q: In parts (a)-(f), use the given figure. (a) Solve f(x)=20. (b) Solve f(x) = 34. (c) Solve f(x)=0.…

A: Here we have given a function f(x) and it's graph. So first finding the equation of the given…

Q: A function f(x) has a horizontal asymptote at y=L if (select all that apply): lim_f(x) = L X118 lim…

A: NOTE: Refresh your page if you can't see any equations. . it is given that the horizontal asymptote…

Q: Exercise 8 2. Find a 3rd order taylor polynomial based on a for the function which are given a.…

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Q: Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = ln(x² −…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the series. C = This can be written as a geometric series in the form cr". Identify c and r…

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Q: smaller x-value larger x-value at the tangent lines at these points are parallel. (smaller x-value)…

A: Given equation represents a rotated eclipse.  The ellipse cuts  x axis at (x,0).

Q: Evaluate the following integrals by converting to polar coordinates. (a) S S 1+√2+² dy dæ

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

Q: Suppose (S,d) is a metric space. How can we prove that S is open

A: To prove that a set S in a metric space (S,d) is open, we need to show that for any point x in S,…

Q: The graph of the following function - - 4 * 1 * O True N W W a linear function. False

A: The graph is given