Integrate the expression. Sx√/2x+5dx

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

A: A graph of a function is given. We have to find the values of x where fx has a horizontal tangent…

Q: The continuous compound interest formula is given by A = Pert where A is the accumulated amount,…

A: The continuous compound interest formula is given by, where, A is the accumulated amount, after an…

Q: Question 15 Let u be a nonzero constant and let f(x) = 2+1. Suppose that f is decreasing on (-∞,0).…

A: fx=x2+1x2+u

Q: 11 Find the volume of liquid needed to fill a sphere of radius R to height h =

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Q: Suppose that f(x, y) = x² - xy + y² - 4x + 4y with D = {(x, y) | 0 ≤ y ≤ x ≤ 4}. 1. The critical…

A: Suppose that f(x, y) = x ^ 2 - xy + y ^ 2 - 4x + 4y with D=\ (x,y)| 0 <= y <= x <= 4 .

Q: Give the exact values of each of the following: cos(30°) = cos(45°) = cos(60°) =

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Q: Find the curl of the vector field F = (6y cos(x), 4x sin(y)) curl F =

A: F¯=6ycosx, 4xsiny

Q: The unit cost, in dollars, to produce tubs of ice cream is $16 and the fixed cost is $6750. The…

A: The unit cost, in dollars, to produce tubs is $16 and the fixed cost is $6750. The price-demand…

Q: XYZ Things Inc. produces and sells a cordless drills per year at $p per cordless drill. The demand…

A: To find out the profit function, the monthly quantity that will maximize the profit, price that…

Q: Differentiate the following function with respect to x, fully simplifying the answer: y = 3 sin(2x)…

A: given y=3sin(2x)5cos(4x)

Q: Find the critical value(s) of f(x) = 5√√x – x². Give exact answers, and separate multiple answers…

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Q: A solid is obtained by rotating the region bounded by the curves y=x4, y=x₂ x 20 about the x-axis.

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Q: 1 x + 5 find the average rate of change of f(x) on the interval [9,9 + h]. Your answer will…

A: fx=1x+5 and the interval is 9,9+hTo find : Find the average rate of change on the given…

Q: Sketch the curve and the approximating rectangles for L 0-1 -0.5 y 15 10 5 0.5 1 1.5 2 C

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

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 2 cos(t)i + 11 sin(t)j +…

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Q: 4. If $3200 is invested at 5.4%: a. What is the amount in the account after 5 years if it is…

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Q: lim X→18 V 1 + 16x6 5-x³ +3

A: We know that the value 1/infinity=0

Q: 3. Use Green's Theorem to show that to where C is the unit circle x² + y² = 1 in the…

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Q: Solve the differential equation. dy dx 6 1 =√y cos ² √y

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Q: Evaluate (x+y-42) dV where {(x, y, z) - 5 ≤ y ≤0,0 ≤ x ≤y, 0 < x < x + y²} =

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Q: Decide from the graph whether each limit exists. If a limit exists, estimate its value. (b) lim F(x)…

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Q: Find the volume of the solid whose base is the semicircle y = √ 121 - x² where -11 ≤ x ≤ 11 and the…

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Q: Let F(x, y) = (-y,x), directly compute the line integral F dr over the curve C, the unit circle…

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Q: Calculate the integral and show work: ∫ (dx)/(x^2 * √(x^2-4))

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Q: F(x, y) = − 5y7 +6x} Enter an exact answer. div ₹ = F i

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Q: Express the following sums using sigma a. 6+7+8+9+10 4+8+12+16+20+24 b. c. 1² +2 +3 +4² 7 7 1 1 d.…

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Q: 1. Suppose during any given week, the revenue ($) from selling å widgets is given by R(x) = 62x and…

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Q: 13. Find the area of the region bounded by the Parabola y = 3x², the tangent line to the parabola at…

A: The equation of parabola is:y=3x2

Q: Could you write a formal proof for the following:  For all sets A, B, and C, if A ⊆ B and B ∩ C = ∅…

A: We have to write a formal proof for the following

Q: Calculate the area between the curve y= x^3 - x^2 -2x and the lines x = - 1 x = 2 and y = 0.

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Q: Set up triple integrals (with bounds) to find  (a) The volume of the solid enclosed by the cylinder…

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Q: For the given function, determine the following if possible. If it is not possible, explain why. You…

A: .

Q: Question 17 Suppose that ƒ'(x) = (ª−¹)(x+2) for all real numbers î. The minimum value of ƒ on [0, ∞)…

A: f'x=x-1x+2ex

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = tan(6x +2y+z) . F(x, y, z) =

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Q: Question 8 What is the 9th term of the sequence a ¹ = ( − 1)²″ (n − 10),

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Q: Can someone help me with this please?

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: In Exercises 17-25 find a definite integral expression that rep- resents the area of the given…

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Q: 1 Can the Fundamental Theorem of Calculus be used to find ²₂ siz dx?

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Q: Find dy dx dy dx || x = t², y = 9 - 6t X

A: given, x=t2 and y=9-6twe know, dydx=dydtdxdt

Q: Rewrite the expression in terms of the given angle's reference angle; then evaluate the result.…

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Q: The unit cost, in dollars, to produce bins of cat food is $18 and the fixed cost is $15990. The…

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Q: Evaluate -323 e −1+3x³ - 2/x6 13x⁹ lim 2-0 Hint: Using power series. Submit Question

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Q: Using the concept of composite areas, determine the location of the centroid of the given composite…

A: The solution is shown in step-2

Q: Consider the following. f(x) = x2/3, Xo = 1 (a) Find the linear approximation L(x) to fat xo. L(x) =…

A: The linearization or Linear approximation of a function f(x) at the point x0 is given by…

Q: Find y SX a) y = 3 sin (x² + 5x - 3) y' = c) y = sin" (6x) y'= b) xE5X+2 d) y = In (2x) Y₁ = Y y' =

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Q: building and launch a small object upward. The object's vertical position, measured in feet, after t…

A: to find maximum value , differentiate function and equate to zero.…

Q: Given: (x is number of items) Demand function: d(x) 2352 √x Supply function: s(x) = 3√x Find the…

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Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing…

A: x=t3-3t    y=t2-2 To determine horizontal and vertical tangent    dydx=dydtdxdt…

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q2 -0.7q+625. The…

A: The marginal cost for a company to produce q items is given by, MC(q)=0.004q2-0.7q+625Fixed Cost:…