5 4 --3- 2 -1

Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: f(x) = 2x-7

Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

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Q: dy dx - 5ln(t), y = 4t² - 4t-2

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Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: x 2) f(x) = x² +1

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Q: Solve the given differential equation by undetermined coefficients. 100x² - 91xe* y(x) = = . y" -…

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Q: Work of 4 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the equation of the line tangent to the graph of y=4e" at x = 3. Tangent Line: y =

A: Given: To find equation of tangent at a given point, we need to find the slope of tangent at a given…

Q: Use the properties of inequalities to solve the inequality. Write the solution set using set-builder…

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Q: Use partial fraction decomposition to find the following integral -da 24-1

A: I=∫x2x4−1dx

Q: Given g(x)= x² +2 , find all asymptotes of the graph; then draw the graph, showing asymptotes as…

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Q: 7. Given F(x)=√√√x+3 A. Find (fo (fog)(x) B. Find (9°F) (2) gof) → g (x) X -2 report domain and…

A: f(x)=sqrt(x+3)g(x)=x2-2.

Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an =√4n…

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. ƒ(x)…

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Q: 2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence.…

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Q: f(x) = 3x5 — 25x³ + 60x on [−2, 3]

A: f(x)=3x5−25x3+60x on [−2,3]

Q: For the given double integral, sketch the region of integration and write an equivalent double…

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Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function

Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

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Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

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Q: If f(x) = 7√x(x³ - 5√x+6), find f'(x). 7_x³ +21x²-70² + 2/1 3 2√x Find f'(5). X

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Q: fe2x sin 3x dx

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Q: An employee's monthly productivity M, in number of units produced, is found to be a function of the…

A: An employee's monthly productivity M, in number of units produced, is found to be  a function of…

Q: A rectangle is inscribed in a semicircle of radius r = 16 as shown in the diagram below. 0 X y

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Q: What is the unit tangent vector T(t) on the curve r(t) = (cos(t), 3t, 2 cos (2t)) when t = 0? Select…

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

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Q: Find the lines that are tangent to the curve y = 2tan(pi*x/4) at x=1

A: The equation of tangent line passes through point  with slope

Q: y = ln(5t³ - 6) y = ln(4- 3x²)

A: y=ln⁡(5t3−6)

Q: y′′ − y′ = x The equation has a particular solution of the form y = Ax + B (for some constants A and…

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Q: how much must be deposited now? The interest rate is 9%, compounded

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Horizontal tangent lines to a curve occur at local extrema of the curve, that is at the peaks or…

Q: Consider the following parametric curve. x = sin(t), y = cos²(t); (√2-1) Find an equation of the…

A: The slope of the tangent line to the parametric curve. If x = f(t), y = g(t)   a<= t <= b at…

Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. 7 Insee( arctan…

A: Consider the integral

Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: ∑n=1∞(n+6−n+5)

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: Determine the intervals on which the function is increasing/decreasing. x2/3 5 + x² f(x):

A: f(x)=x2/35+x2

Q: (a) Setup an integral to calculate the area between the curves r = 2 + sin 30 and r = 4 - cos 30.

A: As per guidelines we can answer only first question if multiple questions are posted.Please repost…

Q: 8 3 dx √√x-3

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Q: Find the outward flux of the field F= 8xyi + 8yzj + 8xzk across the surface of the cube cut from the…

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Q: Help determine the difference quotient and for f(x)=x^2+4

A: Given,. Difference quotient=

Q: Find the exact length of the curve. x = 7 cos(t) = cos(7t), y = 7 sin(t) sin(7t), - 0 ≤t≤n

A: x=7cos⁡(t)−cos⁡(7t),y=7sin⁡(t)−sin⁡(7t),0≤t≤π

Q: 5 -4 -3 N 5 4 3 2 -1 -2 -3 -4 1 2 3 4 5 -5+ In the above graph of y = f( x ), find the slope of the…

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Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: r=6cos⁡(θ),θ=π3

Q: If 1800 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square base = x cmLet height of box = y cm