Find all the possible rational zeros of the following polynomial: f(x) = 2x4 - 5x³+2x+2

Q: Evaluate the discriminant of the quadratic formula, b² - 4 a c, and determine the nature of the…

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Q: √(x-2y)dA, R where R is the triangular region with vertices (0, 0), (3, 1), and (1, 3) ; : x = 3u +…

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Q: Use linear approximation, i.e. the tangent line, to approximate √16.1 as follows: Let f(x)=√x. The…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 5 meters per day…

A: A circle is inside a square.Let, r be the radius of the circle and a be a side of the square, t be…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answers…

A: Given function,  f(x)= 3x4 − 30x3 + x − 3 The function f(x) is concave upward on an interval I if…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

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Q: If $7,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be…

A: To calculate the interest earned on an investment of $7,000 for 5 years at 8% compounded quarterly,…

Q: Consider the following function and closed interval. f(x) = x³ - 3x + 6, [-2, 2] Is f continuous on…

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Q: Consider the parametric curve x=t+ +5/2 y = LIN E (b) Explain why the curve is concave downward…

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Q: Construct a polynomial function f with the following characteristics. zeros: -3 (multiplicity 2),…

A: we need to construct a polynomial with -3 (multiplicity 2), and 4 (multiplicity 1) degree 4 here we…

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

Q: This is a matching problem. For the problem I would recommend the following approach: first…

A: As per guidelines,  I can answer maximum three subparts of a question. So, I did first three…

Q: Find the indicated trigonometric value in the specified quadrant.     Function          Quadrant…

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Q: Use f(x) = 6tan(x - 2) to answer the questions below. (a) Which of the following is a horizontal…

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Q: Find the derivative of the function. f'(x) = f(x) = In(8x)

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Q: Find the critical points of the function f(x) = x³ + x² - 15x - 1. Use the first derivate test to…

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Q: 4 Find any relative extrema of the function. (Round your answers to three decimal places.) f(x) =…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Evaluate dydx. 2 y r2

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Q: Find an expression for f given ƒ" (x) = 2 + x³ + 6x

A: Given expression f''( x ) = 2 + x3 + 6x

Q: Consider the following function. Function f(x) = 3x3 + 2x2 − 61x + 20 Factor (x + 5) (a) Verify…

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Q: Use the formula for the sum of a geometric series to calculate the given sum. (Express numbers in…

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Q: d) Critical points from the g'(x). Show all the derivative steps. e) Intervals of…

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Q: On a sketch of y = ln(x), represent the left Riemann sum with n = 2 approximating f3 ln(x) dx. Write…

A: The given function is:y=ln x

Q: For the function y = ( x2 + 3 / x + 9 ) at (3, 1), find the following. (Give exact answers. Do not…

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Q: 0 1 2 3 4 where p = 4. Left sum = Right sum = 0 1234

A: p=4

Q: Find the surface area of the solid generated by revolving y = 1,0 ≤ x ≤ 6 about the y-axis.

A: y=x/2, [0,6]

Q: Find the area bounded by the curve y = 7x ln(x), the x-axis, and the lines x = 1 and x = e.

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Find the area of the region that lies inside both curves. r = √√3 cos(8), r = sin(0)

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Q: x 2 0 -2 0 2 -2 Y 0 2 0 -2 2 2 -2 -2 2 -2 F(x, y) = 2

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Q: Let y(x) be the solution of the differential equation 12xy' — 60y = x¹, x > 0, satisfying y(1) =…

A: Given: Differential equation 12xy'-60y=x4,x>0 y(1)=-130 y has an inflection point at x=a,a>0…

Q: ength of the polar curve A² OSAS ATT 4π

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

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Q: Calculate the trapezoid approximation of ²√1+ï³ dæ using four subintervals. O T5 3.13 O T5 = 3.28 O…

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Q: Find the exact value of the expression. Use a graphing utility to verify your result. (Hint: Make a…

A: Solve the following

Q: You are given the graph of a function f. concave upward 2- concave downward 1- -1+ -2+ Determine the…

A: We have to find the interval of concave upward and concave downward and point of inflection ( if…

Q: Find the dimensions of a rectangle (in m) with area 1,000 m² whose perimeter is as small as…

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Q: Find the area of the shaded region. r = √ē

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Q: Multiply and write the answer in the form of a + bi. (-4) (5-√√√-9) 20+12/ O -20 +12/ O -6+10/ O…

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Q: Find the global maximum and minimum for the function on the closed interval. f(x) = 18x3 - - 6x…

A: f(x)=18x13-6x

Q: (a) Find the second degree Taylor polynomial T2(r) of the function f(x) = e cos 2x centered at a =…

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Q: 3-9x2-20x+20; [1.7, 1.9] 7).

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Q: Barn 16 ft Fenced area for the fenced area indicates the fencing in bold black lines; it shows also…

A: Here given that total length of facing is 96 feet. And barn length is 16 feet. We find largest area…

Q: this is incorrect

A: We need to find the curl of the given function. This can be evaluated as follows:

Q: Find a plane containing the point (1, 1, 1) and the line of intersection of the planes 3x + 2y — 3z…

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Q: For the following exercise, find vector u with a magnitude that is given and satisfies the given…

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Q: y = 2 3x − x² and y = 0 about the y axis

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Q: On a sketch of y = ln(x), represent the left Riemann sum with n = 2 approximating ſå ln(x) dx. Write…

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Q: Find the values of the six trigonometric functions of ?. Function Value…

A: cosθ = -3989θ is in the third quadrant  In the third quadrant, sin function is negative and tan…